Pls help me and find out which 2 I got wrong I need it for my corrections pls help I don’t know which 2 I got wrong

Step-by-step explanation:

I believe it is asking for the probability that x is greater than the mean + two standard deviations .....

  look at the mean ....count up two SD ( labelled at the bottom)  ....then see what is to the right of this point  : 2.35 % + .15 % =  2.5%  is greater

The depth of water when the tank is on its side is 4.2 cm.

We are given that;

tank measurement is 13*8*17

Now,

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

To find the volume of water in the tank when it is upright. To do this, you multiply the depth of water by the area of the base:

Volume = Depth * Area Volume = 9 cm * (13 cm * 8 cm) Volume = 936 cm^3

This volume does not change when you put the tank on its side. However, the area of the base does change. Depending on which side you put the tank on, the area of the base will be either 13 cm by 17 cm or 8 cm by 17 cm. Let’s assume you put the tank on its longer side, so that the area of the base is 13 cm by 17 cm.

Now, you can find the depth of water by dividing the volume by the area:

Depth = Volume / Area Depth = 936 cm^3 / (13 cm * 17 cm) Depth= 4.2 cm

Therefore, by the cube answer will be 4.2cm.

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The only one that can possibly cause lower your credit score is "You apply for a student loan and the lender requests a copy of your credit report."

The lender normally does a hard inquiry on your credit record when you apply for a new loan or line of credit.

Your credit score may be slightly lowered as a result of this hard inquiry, typically by a few points.

However, the effect is often short-lived, and your credit score should gradually improve.

Hence the correct option is You apply for a student loan and the lender requests a copy of your credit report.

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The function that gives the amount of Iodine-131, A, in grams, t days later is A(t) = 5(1/2)^(t/10), and the amount after 20 days is 5/4 grams.

To find the function that gives the amount of Iodine-131, A, in grams, t days later, we can use the given formula A(t) = A0e^(kt).

Given that the half-life of Iodine-131 is approximately 10 days, we know that after each 10-day period, the amount of Iodine-131 will be reduced by half. This information allows us to determine the value of k.

Let's substitute the initial values into the equation:

A(0) = A0 = 5 grams.

We know that after 10 days, the amount is reduced by half. Therefore:

A(10) = 5/2 grams.

Using these two points, we can solve for k:

5/2 = 5e^(10k).

Dividing both sides by 5, we get:

1/2 = e^(10k).

Take the natural logarithm (ln) of both sides:

ln(1/2) = 10k.

Now, solve for k:

k = ln(1/2) / 10.

Now that we have the value of k, we can use it to find the function for the amount of Iodine-131, A, in grams, t days later.

The function is:

A(t) = A0e^(kt).

Substituting the known values:

A(t) = 5e^((ln(1/2)/10)t).

Simplifying:

A(t) = 5(1/2)^(t/10).

To find the amount of Iodine-131 after 20 days, we substitute t = 20 into the equation:

A(20) = 5(1/2)^(20/10).

A(20) = 5(1/2)^2.

A(20) = 5(1/4).

A(20) = 5/4 grams.

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Answer:

The x-intercepts are (-3, 0) and (2, 0).

The length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.

Using the Pythagorean theorem:

Length of the ladder = √(height² + horizontal distance²)

= √(2.35² + 4.10²)

= √(5.5225 + 16.81)

= √22.3325

≈ 4.72 meters

To calculate the angle of elevation (θ), we can use the trigonometric function sine:

sin(θ) = height / length of the ladder

θ = arcsin(height / length of the ladder)

θ = arcsin(2.35 / 4.72)

θ ≈ 30.4 degrees

Therefore, the length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.

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The Translation of given question is:

A ladder is being constructed that starts at 4.10 m and reaches a height of 2.35 m. Calculate the length of the ladder and its angle of elevation.

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Therefore

[tex]f(x)=x^4-16\\f(x)=(x^2-4)(x^2+4)\\f(x)=(x-2)(x+2)(x^2+4)[/tex]

[tex](x-2)(x+2)(x^2+4)=0\\x=2 \vee x=-2[/tex]

Answer:67/24

hope it helps bye

The expression equivalent to the given numerical expression is 67/24.

The given numerical expression is 2/3 ÷ 2⁴+(3/4 +1/6)÷1/3.

Here, 2/3 ÷ 2⁴+(3/4 +1/6)÷1/3

= 2/3 ÷ 16+(9/12 +2/12)÷1/3

= 2/3 × 1/16 +11/12 ×3/1

= 2/48 + 33/12

= 1/24 + 33/12

= 1/24 + 66/24

= 67/24

Therefore, the expression equivalent to the given numerical expression is 67/24.

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Answer:

begin equation begin cases x = 1y = 5 end cases end equation. Rearrange like terms to the same side of the equation

Step-by-step explanation:

begin equation begin cases x = 1y = 5 end cases end equation. Rearrange like terms to the same side of the equation

Answer: 60 in.

Chain of Thought Reasoning:

Step 1: P = 2L + 2W

Step 2: 18 = 2L + 2(4)

Step 3: 18 = 8 + 2L

Step 4: 10 = 2L

Step 5: 5 = L

Step 6: Convert feet to inches: 1 foot = 12 inches

Step 7: 5 feet = 5 * 12 inches

Step 8: 5 feet = 60 inches

Therefore, the length of the rectangular yard is 60 inches.

a) The mean of the random variable is 2.610 (rounded to 2 decimal places).

b) The variance of the random variable is 1.880 (rounded to 3 decimal places).

c) The standard deviation of the random variable is 1.372 (rounded to 3 decimal places).

d) The probability that a randomly selected student has a parent involved in 4 activities is 0.260 (rounded to 3 decimal places).

To compute the variance of the random variable, we need to calculate the squared deviation of each value from the mean, weighted by their respective probabilities, and then sum them up.

b) Variance [tex](\sigma^2)[/tex] of the random variable:

Variance is given by the formula[tex]Var(X) = \sum [(X - \mu)^2 \times P(X)],[/tex] where X represents the values of the random variable, μ is the mean, and P(X) is the probability.

Using the given data:

X: 0 1 2 3 4

P(X): 0.053 0.117 0.258 0.312 0.26

μ (mean): 2.610

Calculating the squared deviations for each value:

[tex](0 - 2.610)^2 \times 0.053 = 14.152[/tex]

[tex](1 - 2.610)^2 \times 0.117 = 0.291[/tex]

[tex](2 - 2.610)^2 \times 0.258 = 0.148[/tex]

[tex](3 - 2.610)^2 \times 0.312 = 0.122[/tex]

[tex](4 - 2.610)^2 \times 0.26 = 1.429[/tex]

Summing up the squared deviations:

Var(X) = 14.152 + 0.291 + 0.148 + 0.122 + 1.429 = 16.142

Therefore, the variance of the random variable is 16.142.

c) Standard deviation (σ) of the random variable:

The standard deviation is the square root of the variance.

Taking the square root of the variance calculated above:

Standard deviation (σ) = √(16.142) ≈ 4.020 (rounded to 3 decimal places)

d) Probability of a randomly selected student having a parent involved in 4 activities:

The probability of a specific value occurring in a discrete probability distribution is given by the corresponding probability value.

From the given data:

P(X = 4) = 0.26

Therefore, the probability that a randomly selected student has a parent involved in 4 activities is 0.26 (rounded to 3 decimal places).

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A. A table of values and graph of the function is shown below.

B. The object would hit the ground at approximately 8.963 seconds.

Based on the information provided, we can logically deduce that the height (s) in meters, of this object above the​ ground is related to time by the following quadratic function:

s(t) = -4.9t² +39.2t + 42.3

When t = 0, s(t) is given by;

s(0) = -4.9(0)² +39.2(0) + 42.3

s(0) = 42.3

When t = 1, s(t) is given by;

s(1) = -4.9(1)² +39.2(1) + 42.3

s(1) = 76.6

When t = 2, s(t) is given by;

s(2) = -4.9(2)² +39.2(2) + 42.3

s(2) = 101.1

Therefore, the table can be created as follows;

Time (t)     Height s(t)

0                  43.3

1                   76.6

2                  101.1

3                  115.8

4                  120.7

5                  115.8

Part B.

Generally speaking, the height of this object would be equal to zero (0) when it hits the ground. By critically observing the graph (see attachment), we can logically deduce that the object would hit the ground at approximately 8.963 seconds.

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We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

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Answer:

Step-by-step explanation:

lets solve all the equations and check:

1 ) 8 - x = 11

 -x = 11 - 8

  x = -3 ------------- not this one

2 ) x + 7 = 4

    x = 4 - 7

    x = -3 -------------not this one

3 ) 5 + x = 9

    x = 9 - 5

    x = 4 ------------- not this one

4 ) x - 2 = 1

    x = 1 + 2

    x = 3 ----------- this is the correct option

                hope this helps!

Answer:

Step-by-step explanation:

To find the probability of drawing a purple and yellow marble without replacement, we need to determine the number of favorable outcomes (purple and yellow marbles) and the total number of possible outcomes.

Step 1: Determine the number of purple marbles:

The given information states that there are 6 purple marbles.

Step 2: Determine the number of yellow marbles:

The given information states that there are 3 yellow marbles.

Step 3: Determine the total number of marbles:

The given information states that there are 25 marbles in total.

Step 4: Calculate the probability of drawing a purple and yellow marble:

When drawing without replacement, the probability of two events occurring is the product of their individual probabilities.

The probability of drawing a purple marble is: 6 purple marbles / 25 total marbles = 6/25.

After drawing a purple marble, the total number of marbles remaining is 24 (since one purple marble is already drawn).

The probability of drawing a yellow marble from the remaining marbles is: 3 yellow marbles / 24 remaining marbles = 3/24.

To find the probability of both events occurring (drawing a purple and yellow marble), we multiply their individual probabilities:

Probability of drawing a purple and yellow marble = (6/25) * (3/24) = 18/600 = 3/100.

Therefore, the probability of drawing a purple and yellow marble without replacement is 3/100.

The correct options are 1) B, 2) A and 3) D.

1) The table shows the work hour and earned money of Logan we need to build an equation to relate both the variables,

So, let the earned money be y and the hour worked be h,

So,

He worked 45 hours to earn $495,

So, in one hours he earned = $495/45 = $11

Therefore, the equation that relate both the variables is,

y = 11h

2) To represent the amount Mr. Kelly pays per month; we can divide the total rent paid for the year by the number of months.

So, if his yearly rent is $12564, so per month he must be paying =

12564 / 12 = $1047

Therefore, the equation that represents the amount Mr. Kelly pays per month is: 1047m = c

3) The relation given shows the quantity of apples bought to its corresponding cost,

So, considering the point (4, 10) by which the graph passes,

So, this mean that, 4 pounds of apple cost $10,

So, 1 pound = 10/4 = $2.5

Hence the cost per pound is $2.5.

Hence the answers are 1) B, 2) A and 3) D.

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The probability of getting at one hit is 2/5

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100%

Probability = sample space / total outcome

The sample space of getting at least 1 hit.

is 4.

Total outcome = 10

probability to get at least one hit = 4/10

= 2/5

Therefore the probability of getting atleast one hit is 2/5

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Answer:reference angle shoudl be 156 degrees srry if im wrong :)

Step-by-step explanation:

The revenue function for the cakes can be shown as: R(x1, x2, x3, x4, x5) = $9x1 + $12x2 + $4x3 + $5x4 + $8x5

The revenue function is described as  the total amount of money earned from selling a certain quantity of cakes.

We make the following  

Cake 1 sold =  x1

Cake 2 =  x2

Cake 3 = x3,

Cake 4 =  x4,

Cake 5=  x5.

The revenue generated from selling each cake is:

Revenue1 = $9 * x1

Revenue2 = $12 * x2

Revenue3 = $4 * x3

Revenue4 = $5 * x4

Revenue5 = $8 * x5

Total revenue = Revenue1 + Revenue2 + Revenue3 + Revenue4 + Revenue5

Total revenue = $9 * x1 + $12 * x2 + $4 * x3 + $5 * x4 + $8 * x5

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Answer:

(a) The function has a minimum value

(b) The minimum value is 2

Step-by-step explanation:

(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is

y = ax^2 + bx + c.  

We know that for our function a = 1.

Thus, y = x^2 + 4x + 6 must have a minimum value.

(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.

Step 1:  First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.  

Plugging in 4 for b and 1 for a, we get:

x-coordinate of minimum = -4 / 2(1)

x-coordinate of minimum = -4 / 2

x-coordinate of minimum = -2

Step 2:  Now we can plug in -2 for x in the quadratic function.  The result will be our minimum value:

f(-2) = (-2)^2 + 4(-2) + 6

f(-2) = 4 - 8 + 6

f(-2) = -4 + 6

f(-2) = 2

Thus, the minimum value of the quadratic function is 2.

Answer:

The Answer is 80√3 or 138.56 to 2d.p

Step-by-step explanation:

sin 60=L/8

L=sin60×8

L=4√3

Area of rectangle =L×W

A=20×4√3

A=80√3=138.56 to 2d.p

$63 + ($63 · 0.28) = $80.64

[tex]f = p + pm[/tex] where:

[tex]f[/tex] = final price: $80.64,

[tex]p[/tex] = original price: $63,

and [tex]m[/tex] = markup percent (in decimal): 28% → 0.28.

The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3

from the question, we have the following parameters that can be used in our computation:

The right triangle

The hypotenuse of the right triangle is calculated as

h² = 2² + 3²

When evaluated, we have

h = √13

The values of the trigonometry functions are then evaluated as

sin(θ) = 3/√13

cos(θ) = 2/√13

tan(θ) = 3/2

csc(θ) = √13/3

sec(θ) = √13/2

cot(θ) = 2/3

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N is rounded to two decimal places so n=7.052/m = 7.052/2.8 2.52.

Take the equation set into consideration:

4x² - my = 10  --- (1)

mx² + ny = 20  --- (2)

When x = 2.1, one of the system's solutions is provided by the problem. Using this knowledge, we can change x in both equations to be 2.1. It results in:

4(2.1)2 my = 10 ---> 17.64 my = 10 ---> my = 7.64 --- (3) m(2.1)² + ny = 20 ---> 4.41m + ny = 20 --- (4)

Ascertaining n's value is necessary.

My = 7.64, as determined by equation (3).

With this number as a replacement in equation (4), we obtain:

4.41m + 7.64 = 20

(Rounded to one decimal place) 4.41m = 12.36 m = 2.8

This value of m is substituted in equation (4) to yield the following results: 2.8(2.1)2 + ny = 20, 12.948 + ny = 20.

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Answer: $275

Step-by-step explanation:

Answer:

If f(x) = +4, which of the following is the inverse of f(x)?

O A. ƒ˜¹(x) = 2(2+4)

B. ƒ˜¹(x) = 7(2-4)

C. ƒ˜¹(x) = 7(2+4)

D. f¯¹(x) = ²(2-4)

Step-by-step explanation:

By the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.7 years.

Since, The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean μ and standard deviation σ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s = σ / √n.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The mean for the entire population is 5.7 years.

So, by the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.7 years.

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The value of all the expression which have x = 5 asymptotes are,

⇒ g (x) = 3 log (x - 5)

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ f (x) = (3x + 20) / (x - 5)

We have to given that,

All the expressions are,

⇒ g (x) = 3 log (x - 5)

⇒ f (x) = √(x - 5) + 2

⇒ h (x)= eˣ⁻⁵

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ h (x) = - ∛(x - 5) + 1

⇒ f (x) = (3x + 20) / (x - 5)

Now, We can check all the expressions for which have x = 5 asymptotes.

Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,

⇒ g (x) = 3 log (x - 5)

Substitute x = 5;

⇒ g (x) = 3 log (5 - 5)

⇒ g (x) = 3 log (0)

Which is undefined.

⇒ f (x) = √(x - 5) + 2

Substitute x = 5;

⇒ f (x) = √(5 - 5) + 2

⇒ f (x) = 2

Which is defined.

⇒ h (x)= eˣ⁻⁵

Substitute x = 5;

⇒ h (x)= e⁻⁵

Which is defined.

⇒ g (x) = log₁₀ (- x + 5) -  4

Substitute x = 5;

⇒ g (x) = log₁₀ (- 5 + 5) -  4

⇒ g (x) = log₁₀ (0) -  4

Which is undefined.

⇒ h (x) = - ∛(x - 5) + 1

Substitute x = 5;

⇒ h (x) = - ∛(5 - 5) + 1

⇒ h (x) =  1

Which is defined.

⇒ f (x) = (3x + 20) / (x - 5)

Substitute x = 5;

⇒ f (x) = (3x + 20) / (5 - 5)

⇒ f (x) = (15 + 20) / (0)

Which is undefined.

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The expected value of the winnings from the game is $3.24.

To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.

Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)

Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20

Expected Value = 3.24

Therefore, the expected value of the winnings from the game is $3.24.

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