You select a marble without looking and then put it back. If you do this 7 times, what is the best prediction possible for the number of times you will pick a green marble?

Answers

Answer 1

The best prediction possible for the number of times you will pick a green marble is  2 or 3 times.

Assuming that the marbles are well-mixed and that the probability of picking a green marble is constant, the best prediction for the number of times you will pick a green marble is equal to the expected value of the number of green marbles picked in 7 trials.

Let p be the probability of picking a green marble in one trial. Since there are no other details about the marble colors or quantities, we do not know the value of p. However, we can make the best prediction possible by assuming that all marble colors are equally likely, so that p = 1/3.

The number of green marbles picked in 7 trials can be modeled by a binomial distribution with parameters n = 7 and p = 1/3. The expected value of a binomial distribution with parameters n and p is np, so the best prediction for the number of times you will pick a green marble in 7 trials is:

E(number of green marbles) = np = 7 * (1/3) = 2.33

Since the expected value of a discrete random variable is not necessarily a whole number, the best prediction possible is that you will pick a green marble 2 or 3 times.

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Related Questions

PLEASE HELP!!! I NEED TO REVIEW THIS FOR AN EXAM!!! 25 POINTS FOR WHOEVER ANSWERS IN DETAILS!!!!!

Answers

The sum of the given finite geometric series is approximately 0.6640625.

How to find the sum of the finite geometric series

[tex]S_n= \frac{ a(1 - r^n)}{(1 - r)}[/tex]

Substituting the values, we get:

[tex]S_n =\frac{ 1(1 - (-1/2)^n) }{1 - (-1/2)}[/tex]

=  [tex]\frac{1(1 - (-1/2)^n)}{(3/2)}[/tex]

= [tex]2/3(1 - (-1/2)^n)[/tex]

To find the sum of the given series, we need to evaluate S_8, since there are 8 terms in the series:

[tex]S_8 = 2/3(1 - (-1/2)^8)[/tex]

=  2/3(1 - 0.00390625)

=  2/3(0.99609375)

=  0.6640625

Therefore, the sum of the given finite geometric series is approximately 0.6640625.

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a student used 545 milliliters of a solution in a science experiment how many more liters of the solution did the student use in the experiment

Answers

The student used 0.545 liters of the solution in the experiment.

We have,

To convert the unit milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in 1 liter.

So, to find how many liters were used, you can divide 545 milliliters by 1000.

= 545 mL ÷ 1000

= 0.545 L

Therefore,

The student used 0.545 liters of the solution in the experiment.

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Section 2
Go over the bank statement and answer the questions in detail. Use information from the statement to
support your answers.
Bank of Cascadia
Date
Pending
03/16
03/12
03/08
03/02
03/02
Description
Lucky Cat Fresh Ground Coffee
Car payment
Valkyrie Online Shopping
Southern Cascade Groceries
German Motors Garage
Chuck's Gas and Go
Total credit line: $3,000.00
Payment Due Date
Statement Balance
$ Amount
3.41
225.00
55.67
116.43
320.06
36.21
08/05
$756.37
Balance
756.78
753.37
528.37
472.70
356.27
36.21
Total credit available: $2,246.63
1. This bank statement is most likely for what kind of account? Provide at least two pieces of evidence from the statement that explain why. (2 points)
2. How much more can the owner of this account spend ? How do you know ? (1 point)
3. The owner of this account needs to make a $5,000 medical payment and doesn’t have enough in his or her other accounts. Describe at least one option available to the owner. (1 point)
4. What will be at least two consequences of letting the date, August 5, pass without making any payments ? (1 points)

Answers

This particular bank statement is likely assigned to a credit card account owing to the given credit line and statement balance of $3,000.00 and $756.37 respectively.

What is the extra amount the owner can spend?

Thereby allowing the account holder to utilize an unused credit provision of $2,246.63 available for expenditures.

Should the owner need to settle a medical payment amounting to $5,000, an increase in the credit limit could be requested as one option.

But if this due date passes, on August 5th, they may face potential penalty charges such as late fees, interest fees, or even cause harm to their credit score.

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Which of the following statements correctly describe the graph of the function above? select all that apply

F(x)=x^4-2x^2+1
a. As x approaches positive infinity, f(x) approaches negative infinity.
b. As x approaches negative infinity, f(x) approaches negative infinity.
c. When x = -2, f(x) = 0.
d. As x approaches negative infinity, f(x) approaches positive infinity.
e. As x approaches positive infinity, f(x) approaches positive infinity.
f. When x = -1, f(x) = 0
IMAGE ADDED

Answers

The correct statements that describe the graph of the function

f(x) = x^4 - 2x² + 1 are:

c. When x = -2, f(x) = 0.

f. When x = -1, f(x) = 0.

e. As x approaches positive infinity, f(x) approaches positive infinity.

b. As x approaches negative infinity, f(x) approaches negative infinity.

We have,

Statement (a) is incorrect because as x approaches positive infinity, f(x) approaches positive infinity, not negative infinity.

Statement (d) is incorrect because as x approaches negative infinity, f(x) approaches negative infinity, not positive infinity.

The graph of the function f(x) = x^4 - 2x² + 1 is a parabola that opens upwards, which means that as x approaches positive infinity, the value of f(x) also approaches positive infinity.

This makes statement (e) true.

Similarly, as x approaches negative infinity, the value of f(x) also approaches negative infinity because the polynomial function contains even powers of x. This makes statement (b) true.

The function f(x) has two real roots, which occur when f(x) = 0. These roots are x = -2 and x = -1.

At these values, the function crosses the x-axis and changes sign from positive to negative.

This makes statements (c) and (f) true.

Thus,

The correct statements that describe the graph of the function

f(x) = x^4 - 2x² + 1 are:

c. When x = -2, f(x) = 0.

f. When x = -1, f(x) = 0.

e. As x approaches positive infinity, f(x) approaches positive infinity.

b. As x approaches negative infinity, f(x) approaches negative infinity.

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Answer: The correct statements are: As x approaches negative infinity, f(x) approaches positive infinity; When x = -1, f(x) = 0; and As x approaches positive infinity, f(x) approaches positive infinity.

Step-by-step explanation:

Step 1: Analyze the function

The given function is f(x) = x^4 - 2x^2 + 1.

Step 2: Determine the behavior as x approaches infinity

Since the highest degree term is x^4, as x approaches positive or negative infinity, the x^4 term will dominate the function. Since x^4 is always positive for any real value of x, f(x) will approach positive infinity as x approaches both positive and negative infinity.

Step 3: Check for zeros of the function

To find the zeros of the function, we need to solve the equation f(x) = 0.

x^4 - 2x^2 + 1 = 0

This is a quadratic equation in terms of x^2. Let y = x^2, then the equation becomes:

y^2 - 2y + 1 = 0

(y - 1)^2 = 0

y = 1

Now, substitute back x^2 for y:

x^2 = 1

x = ±1

Step 4: Check the given statements

1. As x approaches negative infinity, f(x) approaches positive infinity. (True)

2. As x approaches negative infinity, f(x) approaches negative infinity. (False)

3. As x approaches positive infinity, f(x) approaches negative infinity. (False)

4. When x = -1, f(x) = 0. (True)

5. As x approaches positive infinity, f(x) approaches positive infinity. (True)

6. When x = -2, f(x) = 0. (False)

allison had two coins. she flipped the first coin, then flipped the second coin. what is the probability of getting a head, then another head?

Answers

The probability of getting a head on the first coin flip is 1/2. Assuming that the coins are fair and independent, the probability of getting another head on the second coin flip is also 1/2. By the multiplication rule of probability, we can find the probability of both events occurring by multiplying their individual probabilities:

P(head, then another head) = P(head on first flip) * P(head on second flip)

= (1/2) * (1/2)

= 1/4

Therefore, the probability of getting a head on the first coin flip and another head on the second coin flip is 1/4.

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Which statement best describes how to determine whether f(x)=x2-x+8 is an even function?
O Determine whether -x2-(-x) + 8 is equivalent to x²-x+ 8.
O Determine whether (-x)2-(-x) + 8 is equivalent to x²-x+ 8.
O Determine whether -x2-(-x) + 8 is equivalent to-(x²-x+8).
O Determine whether (-x)2-(-x)+ 8 is equivalent to-(x²-x+8).

Answers

The statement that best describes how to determine whether

f(x) = x² - x + 8 is an even function is "Determine whether (-x)² - (-x) + 8 is equivalent to x² - x + 8."

Option

We have,

To determine whether f(x) = x² - x + 8 is an even function, we need to check whether the function satisfies the property of even functions, which is f(-x) = f(x) for all values of x in the domain of the function.

We can test this property by plugging in -x for x in the given function and simplifying it to see if we get the same function back.

Testing each option:

Option 1:

-x² - (-x) + 8 = x² - x + 8

This option does not satisfy the property of even functions, so it cannot be the correct answer.

Option 2:

(-x)² - (-x) + 8 = x² + x + 8

This option also does not satisfy the property of even functions, so it cannot be the correct answer.

Option 3:

-x² - (-x) + 8 = -(x² - x + 8)

This option satisfies the property of even functions since both sides are equal after multiplying the right-hand side by -1.

However, this option describes whether the function is odd, not even.

Option 4:

(-x)² - (-x) + 8 = x² - x + 8

This option satisfies the property of even functions since both sides are equal. This is the correct answer.

Therefore,

The statement that best describes how to determine whether

f(x) = x² - x + 8 is an even function is "Determine whether (-x)² - (-x) + 8 is equivalent to x² - x + 8."

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compute the volume obtained by rotating the area between y = 3x −x 2 and the x -axis, about the y -axis.

Answers

Answer: The volume of the solid obtained by rotating the region between the curve y = 3x − x^2 and the x-axis, about the y-axis, is 27π/5.

Step-by-step explanation:

To obtain the volume of the solid obtained by rotating the region between the curve y = 3x − x^2 and the x-axis, about the y-axis, we use the formula:

V = ∫a^b π y^2 dx

where a and b are the x-coordinates of the points of intersection of the curve with the x-axis.

To obtain these points, we set y = 0:

3x − x^2 = 0x(3 − x) = 0x = 0, x = 3

Thus, the limits of integration are a = 0 and b = 3. Now we express y in terms of x:

y = 3x − x^2

We substitute this expression for y in the formula for V:

V = ∫0^3 π (3x − x^2)^2 dx

Expanding the square, we get:

V = ∫0^3 π (9x^2 − 6x^3 + x^4) dx

Integrating, we obtain:

V = π [3x^3 − 3/2 x^4 + 1/5 x^5]0^3V = π [27/5]

Therefore, the volume of the solid obtained by rotating the region between the curve y = 3x − x^2 and the x-axis, about the y-axis, is 27π/5

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a nature conservation organization tracks the population of an endangered species of foxes over time. the population number is modeled by the function where x represents the time in years since the organization began tracking the foxes. calculate the average rate of change for the population over the following intervals: [0,10], [20,30], [40,50], [60,70] over which time interval did the population decline the fastest?

Answers

Part A:

The population declined the fastest over the time interval [20,30], which has the greatest negative average rate of change (-138.11).

Part B:

The population declined the slowest over the time interval [60,70], which has the smallest negative average rate of change (-35.14).

We have,

To calculate the average rate of change of the population, we need to find the change in population over the given time interval and divide it by the length of the time interval.

The formula for an average rate of change over an interval [a, b].

average rate of change = (f(b) - f(a)) / (b - a)

where f(x) is the population function.

Using this formula, we can calculate the average rate of change over the given intervals as follows:

[0,10]:

f(10) = -1.2^(0.710) + 10,000 = 7,686.53

f(0) = -1.2^(0.70) + 10,000 = 8,800

average rate of change = (7,686.53 - 8,800) / (10 - 0) = -111.45

[20,30]:

f(30) = -1.2^(0.730) + 10,000 = 2,376.47

f(20) = -1.2^(0.720) + 10,000 = 3,759.54

average rate of change = (2,376.47 - 3,759.54) / (30 - 20) = -138.11

[40,50]:

f(50) = -1.2^(0.750) + 10,000 = 742.39

f(40) = -1.2^(0.740) + 10,000 = 1,690.88

average rate of change = (742.39 - 1,690.88) / (50 - 40) = -94.55

[60,70]:

f(70) = -1.2^(0.770) + 10,000 = 231.51

f(60) = -1.2^(0.760) + 10,000 = 581.92

average rate of change = (231.51 - 581.92) / (70 - 60) = -35.14

Thus,

Part A:

The population declined the fastest over the time interval [20,30], which has the greatest negative average rate of change (-138.11).

Part B:

The population declined the slowest over the time interval [60,70], which has the smallest negative average rate of change (-35.14).

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Angles α and β are angles in standard position such that: α terminates in Quadrant II and sinα = 3/5, β terminates in Quadrant I and cosβ = 5/13

Answers

The opposite side is 12x. Since angle β terminates in Quadrant I, both the adjacent and opposite sides are positive. cosβ = 5/13, sinβ = 12/13, and tanβ = sinβ/cosβ = 12/5

The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse, and the cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse. Using this information, we can find the lengths of the sides of two right triangles that have angles α and β.

For angle α, since sinα = 3/5 and the sine of an angle is the opposite side divided by the hypotenuse, we can let the opposite side be 3x and the hypotenuse be 5x for some positive value of x. Then, using the Pythagorean theorem, we can find the length of the adjacent side:

cosα = √(1 - sin^2α) = √(1 - 9/25) = 4/5

Therefore, the adjacent side is 4x. Since angle α terminates in Quadrant II, the adjacent side is negative. So, we have:

cosα = -4/5, sinα = 3/5, and tanα = sinα/cosα = -(3/4)

For angle β, since cosβ = 5/13 and the cosine of an angle is the adjacent side divided by the hypotenuse, we can let the adjacent side be 5x and the hypotenuse be 13x for some positive value of x. Then, using the Pythagorean theorem, we can find the length of the opposite side:

sinβ = √(1 - cos^2β) = √(1 - 25/169) = 12/13

Therefore, the opposite side is 12x. Since angle β terminates in Quadrant I, both the adjacent and opposite sides are positive. So, we have:

cosβ = 5/13, sinβ = 12/13, and tanβ = sinβ/cosβ = 12/5

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Brain Hirt started business on January 1, 2000. Every year he plans to deposit Rs. 2500 in his bank account, which earns 8 percent annually. First payment will start at the end of year 2000. On December 31, 2005, he used the entire balance in his bank account to invest in a certificate of deposit at 12 percent annually. How much will he have on December 31, 2010?

Answers

Answer:

He would have 20,00

Step-by-step explanation:

You first have to calculate the profit them add it to your original price and since he put 2,500 in for five years you multiply 2,500 by five to get your original price before you add your interest to it

a comparison between species: biologists comparing the gestation period of two newly discovered species of frog collected data from 16 frogs of species a and 23 frogs of species b. species a exhibited an average gestation period of 13 days with a standard deviation of 3.4 days while species b had a gestation period of 18 days and a standard deviation of 2.6 days. the researchers want to know whether the average lengths of the gestational periods differ between the two species. conduct a hypothesis test at a significance level of .

Answers

To conduct a hypothesis test to compare the gestation periods of the two frog species, we can use a two-sample t-test assuming equal variances.

State the hypotheses:

The null hypothesis (H0) is that there is no difference in the mean gestation periods between species A and B.

H0: μA = μB

The alternative hypothesis (Ha) is that there is a difference in the mean gestation periods between species A and B.

Ha: μA ≠ μB

Set the significance level:

The significance level, denoted as α represents the probability of making a Type I error (rejecting the null hypothesis when it is actually true). In this case, the significance level is given as 0.05.

Calculate the test statistic:

We can use the two-sample t-test formula to calculate the t-statistic.

Where A and B are the sample means of gestation periods for species A and B, respectively, s is the pooled standard deviation and nA and nB are the sample sizes for species A and B, respectively.

The pooled standard deviation can be calculated as:

t = -6.28

Determine the critical value:

The critical value of t can be found using a t-distribution table with degrees of freedom (df) equal to nA + nB - 2.

At a significance level of 0.05 with df = 16 + 23 - 2 = 37 the critical values are -2.02 and 2.02 (two-tailed test).

Make a decision and interpret the results:

The absolute value of the calculated t-statistic (6.28) is greater than the critical value (2.02).

Indicating that we can reject the null hypothesis.

Thus, we can conclude that there is a statistically significant difference in the mean gestation periods between species A and B.

Calculate the p-value:

The p-value is the probability of obtaining a t-statistic as extreme as the one calculated or more extreme, assuming the null hypothesis is true.

We can use a t-distribution table or a statistical software package to find the p-value.

For this example,

The p-value is very small (p < 0.0001), indicating strong evidence against the null hypothesis.

Therefore, we can conclude that the average lengths of the gestational periods differ significantly between the two newly discovered frog species, with species B having a longer gestation period than species A.

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What is 2+1000-789+12-2x10-2

Answers

Answer:

203

Step-by-step explanation:

We have to solve this according to BODMAS THEOREM to solve this.

That is,

B ⇒ Brackets

O ⇒ Orders.

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Let us solve it now.

2 + 1000 - 789 + 12 - 2 x 10 - 2

2 + 1000 - 789 + 12 - 20 - 2

1002 - 789 + 12 -20 - 2

213 + 12 - 20 - 2

225 - 20 - 2

205 - 2

203

The solution of 2+1000-789+12-2x10-2 using BODMAS is 203.

We know about BODMAS which shows the correct order to solve mathematical expression as

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Now, we have to solve 2+1000-789+12-2x10-2 using BODMAS

= 2 + 1000 - 789 + 12 - 2 x 10 - 2

= 2 + 1000 - 789 + 12 - 20 - 2

= 1002 - 789 + 12 -20 - 2

= 213 + 12 - 20 - 2

= 225 - 20 - 2

= 205 - 2

= 203

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A marble rolled from one end of a room to the other end of the room at a speed of 48 cm/s. the distance between the two ends of the room was 1.92 m. how long did the marble take to roll from one end of the room to the other end of the room?

Answers

The marble took 4 seconds to roll from one end of the room to the other end.

To find the time it took for the marble to roll from one end of the room to the other, we can use the formula:

Time = Distance / Speed

Given that the distance between the two ends of the room is 1.92 m and the speed of the marble is 48 cm/s, we need to convert the distance to centimeters to match the unit of speed.

1.92 m = 192 cm

Now we can calculate the time:

Time = 192 cm / 48 cm/s

Time = 4 seconds

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a monopoly can price discriminate among groups of buyers if _______ across the two groups. A. average total cost differs B. marginal cost differs C. marginal

Answers

If the marginal cost differs across the two groups, then a monopoly can price discriminate among groups of buyers. This is because the monopoly can charge a higher price to the group with a relatively lower elasticity of demand, which will generate more revenue and profits for the monopoly.


A monopoly can price discriminate among groups of buyers. A monopoly can price discriminate among groups of buyers if demand elasticity differs across the two groups. This means that the monopoly can charge different prices based on the varying price sensitivities of different consumer groups.

                                     However, if the average total cost differs across the two groups, then price discrimination may not be possible because the monopoly cannot charge a higher price without incurring higher costs. Therefore, the correct answer is C) marginal.

The options A (average total cost differs), B (marginal cost differs), and C (marginal) do not complete the sentence accurately.

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Jannick biked to his friend milos house to play video games. He made two stops on his way there. From his house, jannixk travelled 2 miles north to the recycle station he then travelled 5 miles east to the hardware store finally he went 4. 5 miles south to milos house. What is the distance between

Answers

Answer: To find the distance between Jannick's house and Milos' house, we can use the Pythagorean theorem. We first need to find the total distance travelled by Jannick:

Distance north + Distance east + Distance south =
√(2^2 + 5^2) + 4.5 = √29 + 4.5 ≈ 8.74 miles

Therefore, the distance between Jannick's house and Milos' house is approximately 8.74 miles.

Let vector c = (5, 2, -4) and vector d = (6, -3, -2). Which graph shows vector c - vector d

Answers

The graph 1 represents the subtraction of given vectors.

Hence option (a) is correct.

The given vectors are

vector c = < 5, 2 , -4>

vector d = < 6, -3, -2>

To show the graphical representation of subtraction of vectors

We add the vectors after changing the direction vector which would be subtracted.

Now ,

vector c - vector d = < 5, 2 , -4> - < 6, -3, -2>

                               = < 5-6, 2+3, -4+2 >  

                               = < -1, 5, -2 >

Thus,

vector c - vector d = < -1, 5, -2 >

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Given that 1 /1−x =[infinity]∑n=0 x^n with convergence in (−1, 1), find the power series for 1/x with center 3.
[infinity]∑n=0 =
Identify its interval of convergence. The series is convergent from
x= , left end included (enter Y or N):
to x= , right end included (enter Y or N):

Answers

Answer: The interval of convergence is: x ∈ (2, 4) and the series is convergent from x=2, left end included, to x=4, right end included.

Step-by-step explanation:

To get the power series for 1/x with center 3, we can use the fact that:

1/x = (1/(x-3)) / (1/3)

Then, we can use the formula for the geometric series:

1/(1-r) = ∑n=0^∞ r^n, for |r| < 1

to obtain:

1/(x-3) = -1/(3(1-(x-3)/3)) = -1/3 ∑n=0^∞ ((x-3)/3)^n, for |(x-3)/3| < 1

Multiplying both sides by 1/3, we get:

1/x = -1/9 ∑n=0^∞ ((x-3)/3)^n, for |(x-3)/3| < 1

So, the power series for 1/x with center 3 is:[infinity]∑n=0 (-1/9) ((x-3)/3)^n

To obtain its interval of convergence, we note that the series converges if:|(x-3)/3| < 1 which is equivalent to:

-1 < (x-3)/3 < 1

Solving for x, we get:

2 < x < 4

Therefore, the interval of convergence is: x ∈ (2, 4)

And the series is convergent from x=2, left end included, to x=4, right end included.

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A central bank like the Federal Reserve in the United States can help banks survive a bank run by A. increasing the required reserve ratio. B. acting as a lender of last resortſ C. raising the discount rate. D. printing money

Answers

Answer:  B. Acting as a lender of last resort.

A bank run occurs when a large number of depositors withdraw their funds from a bank, which can lead to a bank's insolvency.

A central bank like the Federal Reserve can help banks survive a bank run by acting as a lender of last resort.

This means that the central bank will provide funds to the bank in the form of loans or other financial assistance to ensure that it has enough cash on hand to meet the demands of depositors who are withdrawing their funds.

By doing so, the central bank can prevent the bank from going bankrupt and restore confidence in the banking system.

Other measures such as increasing the required reserve ratio or raising the discount rate may also be used to control the money supply and stabilize the economy, but they may not directly address the issue of a bank run.

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For a biased dice, P(6)=3/5. What is the probability of two sixes when the dice is rolled twice

Answers

The probability of two sixes when the dice is rolled twice is 9/25

Given that;

probability of getting 6,

P(6) = 3/5

Since both dice can be rolled independently

Therefore,

So to find probability of getting two 6 when two dices are rolled twice

We directly multiply it

= (3/5) x (3/5)

=  9/25

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A sample of 41 observations yielded a sample standard deviation of 5. If we want to test H0: σ2 = 20, the test statistic is a. 100.75. b. 10. c. 51.25. d. 50.

Answers

The answer to this question is  the test statistic is a. option a. 100.75.

To arrive at this answer, we need to use the chi-square distribution to test the null hypothesis that the population variance (σ2) is equal to 20. The test statistic for this hypothesis test is given by:

χ2 = (n - 1) * s²  / σ2

where n is the sample size, s is the sample standard deviation, and σ is the population standard deviation (which is assumed to be equal to the hypothesized value of 20).

Substituting the given values, we get:

χ2 = (41 - 1) * 5² / 20
χ2 = 40 * 25 / 20
χ2 = 50

Therefore, the test statistic is 50.

However, to determine the p-value (i.e. the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true), we need to consult a chi-square distribution table with (n - 1) degrees of freedom. For this problem, the degrees of freedom is 40 (i.e. 41 - 1).

Using the chi-square distribution table, we find that the p-value for a test statistic of 50 with 40 degrees of freedom is less than 0.001. This means that the probability of obtaining a sample with a variance as extreme or more extreme than 20 (assuming the null hypothesis is true) is less than 0.001.

Therefore, we can reject the null hypothesis at a significance level of 0.001 or lower. This leads us to the conclusion that the population variance is unlikely to be 20, based on the given sample of 41 observations with a sample standard deviation of 5.

finding the p-value using a chi-square distribution table, and making a conclusion based on the significance level. The main answer is option a. 100.75, which corresponds to the test statistic calculated using the formula χ2 = (n - 1) * s²  / σ2.

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Ana vai fazer pulseiras de miçangas para presentear alguns amigos. para fazer cada uma dessas pulseiras, ela precisa de 16 miçangas. ana tem 4 potes com quantidades diferentes de miçangas e quer escolher, para utilizar na confecção dessas pulseiras, aquele que tem uma quantidade de miçangas que permite fazer uma determinada quantidade de pulseiras sem sobrar nenhuma miçanga no pote. observe, no quadro abaixo, as quantidades de miçangas disponíveis em cada um dos potes que ana tem.

Answers

Para escolher o pote de miçangas que permitirá fazer uma quantidade exata de pulseiras sem sobrar nenhuma miçanga no pote, precisamos encontrar um número que seja divisível por 16 em cada um dos valores apresentados nos potes.

Analisando as opções apresentadas no quadro, podemos ver que apenas a quantidade de miçangas no pote B é divisível por 16, já que 16 x 9 = 144. Portanto, Ana deve escolher o pote B com 144 miçangas para confeccionar as pulseiras de seus amigos. Dessa forma, ela poderá fazer 9 pulseiras utilizando todas as miçangas disponíveis no pote. As outras opções apresentam quantidades de miçangas que não são divisíveis por 16, o que resultaria em sobras de miçangas no processo de confecção das pulseiras.

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it is generally believed that the average population age is 50. you claim that the population average age is less than 50. perform a statistical test on the sample to see if the average age for the sample is consistent with your hypothesis (use a margin of error of 5%). what is the p-value from the test? group of answer choices 0.05 0.0179 0.9911 0.0089

Answers

To perform a statistical test on the sample and determine if the average age is consistent with your hypothesis that it is less than 50, we can use a one-sample t-test. The null hypothesis (H0) is that the population average age is equal to or greater than 50, and the alternative hypothesis (Ha) is that the population average age is less than 50.

Using the sample data, we calculate the t-test statistic by subtracting the assumed population mean (50) from the sample mean, dividing it by the standard error of the mean, and considering the sample size.

Next, we compare the t-test statistic with the critical t-value at a significance level of 5%. If the t-test statistic is smaller than the critical t-value, we reject the null hypothesis and conclude that the average age is consistent with being less than 50.

The p-value from the test represents the probability of obtaining a t-test statistic as extreme as the observed value, assuming the null hypothesis is true. We compare the p-value with the significance level to make our decision.

Unfortunately, the p-value was not provided in the answer choices. The p-value obtained from the test would need to be calculated separately to determine the correct answer option.

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In a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of
A)zero.
B)-1.
C)1.
D)any value.

Answers

a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of is A) zero. This means that in a multiple regression model, the errors are assumed to have a mean of zero. This assumption is necessary to ensure that the model is unbiased and accurate in predicting the outcome variable.

this assumption is that the error term represents the unexplained variation in the outcome variable that is not accounted for by the predictor variables. If the error term had a mean value other than zero, this would indicate that there is a systematic bias or error in the model, which would affect the accuracy of the predictions.

the assumption of a zero mean error term is a critical aspect of multiple regression modeling and helps to ensure that the model is reliable and valid for predicting the outcome variable.

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tori is getting ready to run a marathon. she kept track of the lengths of her last few training runs. training runs (mi.) 11 8 15 16 8 20 16 12 6 13 7 which box plot represents the data?

Answers

The box plot would show the distribution of Tori's training runs and provide insights into the Central tendency and variability of the data.

A box plot, also known as a box-and-whisker plot, is a visual representation of the distribution of a dataset. It shows the median, quartiles, and range of the data. The median is the middle value of the dataset, the first quartile is the value that separates the lowest 25% of the data from the rest, and the third quartile is the value that separates the lowest 75% of the data from the rest. The range is the distance between the minimum and maximum values of the data.

To create a box plot for Tori's training runs, you would first order the data from smallest to largest: 6, 7, 8, 8, 11, 12, 13, 15, 16, 16, 20. Then, you would find the median (the middle value), which is 12.5. Next, you would find the first quartile (the value that separates the lowest 25% of the data from the rest), which is 8, and the third quartile (the value that separates the lowest 75% of the data from the rest), which is 16. Finally, you would calculate the range (the distance between the minimum and maximum values), which is 14 (20 - 6).

To draw the box plot, you would draw a rectangle with the bottom edge at the first quartile and the top edge at the third quartile. Inside the rectangle, draw a line at the median. Then, draw whiskers (lines) from the edges of the rectangle to the minimum and maximum values of the data (6 and 20). Any outliers (values that are more than 1.5 times the interquartile range away from the nearest quartile) can be plotted as individual points outside of the whiskers.

Without a visual representation of the data, it is difficult to say which box plot represents the data. However, the box plot would show the distribution of Tori's training runs and provide insights into the central tendency and variability of the data.

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Please help fast 50 points

Answers

Answer:

38

Step-by-step explanation:

please help and i’ll give u brainliest

Answers

Answer:

Set your calculator to degree mode.

Using the Law of Cosines:

c = √(27^2 + 13^2 - 2(27)(13)(cos 106°))

= 33.0378

Now use the Law of Sines:

sin A/13 = sin 106°/33.0378

sin A = 13 sin 106°/33.0378

A = 22.2°

The measure of angle ∠A will be 22.1°. Then the correct option is B.

Given that:

a = 13 in

b = 27 in

∠C = 106°

Let the triangle ΔABC, then the cosine law is given as,

c² = a² + b² - 2 a·b cos C

The length AB of the triangle is calculated as,

c² = 13² + 27² - 2 · 13 · 27 · cos 106°

c² = 169 + 729 - (-196.5)

c² = 1094.5

c = 33.08 inches

The measure of ∠A is calculated as,

a² = b² + c² - 2 b·c cos A

13² = 27² + 33.08² - 2 x 27 x 33.08 x cos A

cos A = 0.9262

A = 22.1°

The measure of angle ∠A will be 22.1°. Then the correct option is B.

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Your salary is given by the explicit rule,a_n=35,000(1.04)^{n-1}[/where n is the number of years you have worked. Write a recursive rule for your salary.

Answers

Answer:

[tex]a_n=1.04\cdot a_{n-1}\ \ ,\ \ a_1=35,000[/tex]

Step-by-step explanation:

The salary is dependent upon the number of years you have worked.

Your salary increases by 1.04 times every year.

So, your salary over the years can be expressed as a Geometric Progression

35000, 35000*(1.04)², 35000*(1.04)³, ...

=> Common Ratio (r) = 1.04

∴ [tex]a_n=1.04\cdot a_{n-1}\ \ ,\ \ a_1=35,000[/tex]

Enter the number belongs in the green box. 78° 12 56° Round to the nearest hundredth.​

Answers

10 is the number that belongs to the green box in the triangle.

Let us find the third interior angle in the triangle

By angle sum property the sum of three angles is 180 degrees

78+56+x=180

134 + x =180

Subtract 134 from both sides

x=180-134

x=46

So sin 56 /12 = sin 46/x

0.829/12=0.7193/x

0.069=0.7193/x

x=0.7193/0.069

The number in green box x=10.42

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A, B & C form the vertices of a triangle, where
∠CAB = 90°.
AB = 4.7 m and BC = 11.3m.
Evaluate
∠ABC, giving your answer rounded to 3 SF.

Answers

A triangle is a shape with 3 sides and angles. The measure of angle ∠ABC is 57.6 degrees

Here, we have,

Application of trigonometry identity

A triangle is a shape with 3 sides and angles. Given the following parameters

∠CAB = 90°.

AB = 5.9 m and;

BC = 11.1m.

Determine the measure of ∠ABC

cos∠ABC = AB/BC

cos∠ABC = 5.9/11

cos∠ABC = 0.5363

∠ABC = arccos0.5363

∠ABC = 57.6 degrees

Hence the measure of angle ∠ABC is 57.6 degrees

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If x = −3 and y = −6, what is the value of 3x + 4y + 15?
A 48
B 35
C -18
D -48

Answers

Answer:

C. -18

Step-by-step explanation:

3(-3)+4(-6)+15=

-9+-24+15

-33+15=-18

Answer:

Step-by-step explanation:

x=-3 and y=-6  ⇒

3*x=3*(-3)=-94*y=4*(-6)=-2415

so if we add these numbers together, we will have :

-9 + (-24) + 15 = -18

and it is C .

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