What are the features of the function f(x)=2log3 (x+7)graphed below?

The probability of getting exactly zero tails is,

⇒ 1/4

We have to given that;

A fair coin is tossed two times in succession.

And, The set of equally likely outcomes in {HH,HT,TH, TT}.

Hence, a total number of 4 outcomes (denominator) and there in only 1 chance (numerator) that you will not get tails.

Thus, the probability of getting exactly zero tails is,

⇒ 1/4

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Complete question is,

A fair coin is tossed two times in succession. The set of equally likely outcomes in {HH,HT,TH, TT}. Find the probability of getting exactly zero tails.​

Answer:

A. V = 81π(7.25) = 1,844.90 cubic inches

V = 81(3.14)(7.25) = 1,843.97 cubic inches

B. Let p be the number of cans of paint.

1,843.97p = 10,000, so p = 5.42

Jessie will need 6 cans of paint.

C. Area of each storage area = π(9.5^2) = 283.53 square inches. Using 3.14 for π, this area is (3.14)(9.5^2) = 283.385 square inches. The base area of each paint can is 81π = 254.46 square inches (254.34 square inches if we use 3.14 for π). Jessie can't use the carrier because the area of each storage area exceeds the base area of each paint can.

The value of the Expression is 610, 919.

We have,

Expression : [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n+1[/tex]

The expression is a summation formula, representing the sum of a series of values.

Here r= 1.07 and n is number of terms.

So, [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n+1[/tex]

= 700 (1) +  [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n[/tex]

= 700 + 700 ([tex]r^{61[/tex] - 1)/ (r-1)

= 700 + 700 ([tex](1.07)^{61[/tex]-1)/ (0.07)

= 700+ 700 (871.7428)

= 610, 919

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The pineapple has 1097g more mass than the apples.

We have,

The difference between two values is the result of subtracting one value from the other.

In this case, we want to find the difference between the mass of the pineapple and the mass of the apples.

To do this, we subtract the mass of the apples from the mass of the pineapple.

The equation for this is:

Pineapple mass - Apple mass = Difference

Substituting the given values:

3547g - 2450g = 1097g

Therefore,

The pineapple has 1097g more mass than the apples.

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The figures that complete the two-way frequency table are attached accordingly.

Let represent the table like this:


                      Chcken       Veggie             Tuna               Total

Seltzer            38                 45                     A                    90
Iced Tea           B                  C                        D                    E
Total                 75                 F                       G                    160

NOte that:

A = 90 - 38 - 45 = 7
B = 75 - 38 = 37
E = 160-90 = 70
C = D + 11
D + 11 + D = 70-37
2D = 33-11
D=22/2

D=11

Thus C = 22
F = 45 + C
F = 45 + 22
F = 22


G = A + D = 18

?thus, the completed two-way frequency table is:


                    Chcken       Veggie             Tuna               Total

Seltzer            38                 45                     7                    90
Iced Tea           B                  22                     11                    70
Total                 75                 67                    18                    160

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The dragging of the tiles to the appropriate places is given below.

1. 5.83 m/s > magnitude 4.5 m/s, direction angle 55˚ magnitude 3m/s, direction angle 135°

2. 4.05 m/s > magnitude 3.5 m/s, direction angle 35˚ magnitude 4 m/s, direction angle 150˚

3. 5.29 m/s > magnitude 6 m/s, direction angle 120˚ magnitude 2 m/s, direction angle 240˚

4. 3.32 m/s > magnitude 3 m/s, direction angle 70° magnitude 5 m/s, direction angle 210˚

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The data value corresponding to z = 0.55 is approximately 87.6075.

To find the data value corresponding to a given z-score, we need to use the formula:

z = (x - μ) / σ

where z is the standard score, x is the data value, μ is the mean, and σ is the standard deviation.

Rearranging this formula, we get:

x = z * σ + μ

Substituting the given values, we get:

x = 0.55 * 4.85 + 85.3

x = 87.6075

Therefore, the data value corresponding to z = 0.55 is approximately 87.6075.

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A normal distribution has a mean of 85.3 and a standard deviation of 4.85. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = 0.55

If the Lions in their "seventh-game" scored 14 runs, then the true statement is (b) The mean increases and the median remains the same.

To determine how the additional 14 runs affect the mean and median, we need to calculate the original mean and median.

The mean is the sum of all the runs divided by the number of games:

So, Mean = (5 + 8 + 1 + 5 + 2 + 7)/6 = 28/6 = 4.67,

The median is defined as "middle-value" when data is arranged in order. In this case, the data in order is : 1, 2, 5, 5, 7, 8

So, the median is 5.

If the Lions scored 14 runs in their seventh game, the total number of runs for seven games is:

⇒ 5 + 8 + 1 + 5 + 2 + 7 + 14 = 42,

The new mean is the sum of all the runs for seven games divided by the number of games:

⇒ Mean = 42/7 = 6,

The new data in order is : 1, 2, 5, 5, 7, 8, 14,

So, the new median is also 5.

Comparing the original mean and median to the new mean and median, we can see that:

⇒ The median remains the same.

⇒ The mean increases from 4.67 to 6.

Therefore, the correct option is (b).

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The conclusion is there is not a significant difference between the preference for the three food containers.

The appropriate statistic to use in this case is a chi-squared test. This test will help us determine if there is a significant difference between the preference of the three food containers.

The critical value for the chi-squared test with 2 degrees of freedom is 5.991.

The chi-squared statistic is calculated as follows:

(74-103)²/103 + (103-123)²/123 + (123-103)²/103

= 3.9/3.9

= 1.0

The chi-squared statistic (1.0) is less than the critical value (5.991). Therefore, there is not a significant difference between the preference for the three food containers.

The statistical results can be presented in the following form:

Chi-squared statistic = 1.0

Critical value = 5.991

Therefore, the conclusion is there is not a significant difference between the preference for the three food containers.

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The probability that Mia and Lia place in 1st or 2nd is 99/2450. There are two possible scenarios in which Mia and Lia can place in 1st or 2nd: Mia places 1st and Lia places 2nd, or Mia places 2nd and Lia places 1st. The probability of the first scenario is (1/50) * (1/49) = 1/2450. The probability of the second scenario is also (1/50) * (1/49) = 1/2450. Since these two scenarios are mutually exclusive, we can add their probabilities to find the total probability: 1/2450 + 1/2450 = 2/2450. However, we must also account for the fact that there are 49 other people who could place in 3rd. So the final probability is (2/2450) * 49 = 98/2450. Adding the probability that neither Mia nor Lia place in 3rd (1/2450), we get 98/2450 + 1/2450 = 99/2450.

Received message. The probability that Mia and Lia place in 1st or 2nd is **99/2450**. There are two possible scenarios in which Mia and Lia can place in 1st or 2nd: Mia places 1st and Lia places 2nd, or Mia places 2nd and Lia places 1st. The probability of the first scenario is `(1/50) * (1/49) = 1/2450`. The probability of the second scenario is also `(1/50) * (1/49) = 1/2450`. Since these two scenarios are mutually exclusive, we can add their probabilities to find the total probability: `1/2450 + 1/2450 = 2/2450`. However, we must also account for the fact that there are `49` other people who could place in 3rd. So the final probability is `(2/2450) * 49 = 98/2450`. Adding the probability that neither Mia nor Lia place in 3rd (`1/2450`), we get `98/2450 + 1/2450 = 99/2450`.

Answer:

We can solve this problem using the following steps:

1. **Calculate the probability of being in each group.**

The probability of being in the binge drinking group is 44%.

The probability of being in the moderate drinking group is 37%.

The probability of being in the abstain group is 9%.

2. **Calculate the probability of being in the accident group.**

The probability of being in the accident group is 17% + 9% = 26%.

3. **Calculate the probability of being in the abstain group and having an accident.**

The probability of being in the abstain group and having an accident is the probability of being in the abstain group multiplied by the probability of having an accident, given that you are in the abstain group.

The probability of being in the abstain group is 9%.

The probability of having an accident, given that you are in the abstain group, is the probability of being in the accident group and being in the abstain group, divided by the probability of being in the abstain group.

The probability of being in the accident group and being in the abstain group is 9%.

The probability of being in the abstain group is 9%.

Therefore, the probability of having an accident, given that you are in the abstain group, is 9% / 9% = 1.

4. **Calculate the probability of having an accident and being in the abstain group.**

The probability of having an accident and being in the abstain group is the probability of being in the abstain group and having an accident.

The probability of being in the abstain group is 9%.

The probability of having an accident, given that you are in the abstain group, is 1.

Therefore, the probability of having an accident and being in the abstain group is 9% * 1 = 9%.

**Answer:**

The probability of having an accident and being in the abstain group is 9%.

If three squares are placed to form a right triangle as shown. The statement that must be true is: C .The difference of the areas of the smaller squares is always equal to the area of the largest square.

Let's use the letters a, b, and c to denote the side lengths of the squares, with c standing for the hypotenuse of the right triangle. Assuming that an is the shortest side length to preserve generality a2 is the area of the smallest square. The largest square has a surface area of c2 whereas the medium square has a surface area of b2.

The Pythagorean theorem demonstrates that a + b equals c. If we rewrite this equation, we obtain:

c^2 - b^2 = a^2

c^2 - a^2 = b^2

This means that the size of the largest square is equal to the difference between the areas of the two smaller squares, which is either a2 or b2.

Therefore the correct option is C.

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Answer: 504 different ways.

Step-by-step explanation:

      This situation uses a permutation. We will use the given formula and simplify to solve. n is equal to the number of contestants and r is 3 since we are selecting and first-, second-, and third-place winner.

Given:

      [tex]\displaystyle P = \frac{n!}{(n-r)!}[/tex]

Substitute values:

      [tex]\displaystyle P = \frac{9!}{(9-3)!}[/tex]

Subtract:

      [tex]\displaystyle P = \frac{9!}{6!}[/tex]

Multiply:

      [tex]\displaystyle P = \frac{9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}[/tex]

Simplify using the knowledge that something divided by itself is 1:

      P = 9 * 8 * 7

Multiply:

      P = 504

      We can also think of it as 9 different people could win 1st, 8 different people could win 2nd, and 7 different people could win 3rd. 9 * 8 * 7 = 504. However, the steps above show why this works with the formula as well.

The labelled parts are described as follows

1. BC - Tangent

3. DH - Chord

4. EH - Diameter

5. G - center of the circle

6. GF Radius of the circle

7. B. a point of tangency

Tangent: Referenced as a point of tangency, a tangent to a circle is a line that meets the circumference at one solitary area while never penetrating inside its bounds. To explain further, this line is perpendicular to the radius of the circle right at the tip of contact.

Chord: Referring to such an element, a chord of a circle is a straight piece between two areas that lay along the circumference. Without having any relation to the middle of the target object, it has both of its extremities on the peripheral border.

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Answer:

$814 she kept for 5 years if she don't spend it

Step-by-step explanation:

Answer:250

Step-by-step explanation:

I think they just want you to multiply the 25 and the 10 (radius squared times the height)

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

We have,

The real exchange rate represents the relative price of goods and services between two countries.

It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.

To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.

1800 rupees / 90 rupees per dollar = $20

The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.

The real exchange rate (RER) is calculated as:

RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price

RER = (90 rupees per dollar * 1800 rupees) / $25

RER = 6480 / $25

RER = 259.2

The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.

Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.

The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.

In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.

This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.

Therefore,

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

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Answer: the answer is A=33∘, B=107.5∘, and C=39.5∘ is correct or c

Step-by-step explanation:

To find the angles of triangle ABC with side lengths a=12, b=21, and c=14, we can use the Law of Cosines and then apply the Law of Sines to find the remaining angles. Let's denote the angles as A, B, and C respectively.

According to the Law of Cosines:

c^2 = a^2 + b^2 - 2ab * cos(C)

Plugging in the given side lengths:

14^2 = 12^2 + 21^2 - 2 * 12 * 21 * cos(C)

196 = 144 + 441 - 504 * cos(C)

504 * cos(C) = 389

cos(C) = 389 / 504

C = arccos(389 / 504)

Using a calculator to find the approximate value of C, we get C ≈ 43.5°.

Answer:

there is missing information needed to provide a solution to this problem.

The measure of the third outgoing current will be 0.5 amperes.

We know that,

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The three incoming currents at a node in an electrical circuit measure 0.7 amps, 0.68 amps, and 0.47 amps two of the three outgoing currents measure 0.8 amps and 0.55 amps.

Then the measure of the third outgoing current will be

We know that the sum of the incoming current will be equal to the sum of the outgoing current at a junction.

Let the incoming current be I₁, I₂, and I₃. And the outgoing current is I₄, I₅, and I₆.

Then we have

I₁ + I₂ + I₃ = I₄ + I₅ + I₆

0.7 + 0.68 + 0.47 = 0.8 + 0.55 + I₆

1.85 = 1.35 + I₆

I₆ = 0.5

Thus, the measure of the third outgoing current will be 0.5 amperes.

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complete question:

The three incoming currents at a node in an electrical circuit measure 0.7 amps, 0.68 amps, and 0.47 amps two of the three outgoing current measure 0.8 amps and 0.55 amps find the measure of the third outgoing current

Answer: 200

Step-by-step explanation: 20% of 200 is 40

Answer:

200

Step-by-step explanation:

Since 20% of the movie is equal to 40 minutes of the entire movie, simply just keep adding 40 repeatedly until you hit 100%.

40+40+40+40+40=200

^      ^     ^     ^     ^

20+20+20+20+20=100

The likelihood that they will choose to work in an animal shelter for each of the six options they choose is around 0.2214 or 22.14%

The probability is given as,

P = (Favorable event) / (Total event)

The likelihood of choosing an opportunity at an animal shelter is 7/9. If each chance is equally likely to be chosen, the likelihood of choosing six in a row from an animal shelter may be estimated by multiplying the likelihood of choosing one opportunity by itself six times:

P = (7/9) x (7/9) x (7/9) x (7/9)

P = (7/9)⁶

P = 0.2214 or 22.14%

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4 is the value of the variable x.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

We can simplify the left side of the equation by using the properties of exponents:

[tex](7q^{3x})^3 = 7^3 * (q^{3x})^3 = 343q^{9x}\\\\343q^{9x} = 343q^{36}\\\\q^{9x} = q^{36[/tex]

Now we can use the property that if [tex]a^b = a^c[/tex], then b = c. Therefore:

9x = 36

Dividing both sides by 9, we get:

x = 4

Therefore, the value of x that satisfies the equation is 4.

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Answer:

28+36+y=180

64+y=180

y=180-64

y=116°

The radius of the circle is 36 centimetres.

The circumference of the circle is  75.36 centimetres.

Let's find the radius of the circle with 20 degrees arc and length of 4π centimetres.

Length of an arc = ∅ / 360 × 2πr

where

Therefore,

Length of an arc  = 20 / 360 × 2 × π × r

4π = 40πr / 360

4π = 1 / 9 πr

cross multiply

πr = 36π

divide both sides by π

r = 36 centimetres

radius = 36 centimetres

b.

The equilateral triangle is inscribed in the circle. Therefore, the circumference of the circle can be found as follows:

The radius of the circle can be found using trigonometric ratios as follows:

The radius is an angle bisector. Hence,

sin 30 = opposite / hypotenuse

0.5 = 6 / r

cross multiply

r = 6 / 0.5

r = 12 centimetres

Lets' find the circumference,

circumference of the circle = 2πr

circumference of the circle = 2 × π × 12

circumference of the circle = 24 × 3.14

circumference of the circle = 75.36 cm

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + [tex]i)^n[/tex]

So, PV =  100, 000 / (1+ 5/100[tex])^{10\\[/tex]

PV = 100,000 / (1+ 0.05[tex])^{10\\[/tex]

PV = 100, 000/ (1.05[tex])^{10\\[/tex]

PV = 100,000 / 1.6288946

PV= $6,139.132

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1. The objective of Nour's study is to sample the population to see if there is a correlation between her performance and the audience response.

2. No, because the population she sampled isn't necessarily representative

A population sample is a subgroup of people drawn from a broader population for the purpose of a study.

A population sample is often chosen such that it is a representative of the greater population. Populaton sample should consider factors such as age, gender, income, or level of education.

The answer provided is based on the full question below;

Nour wants to go on a popular TV talent show. In order to be accepted, her audition must get at least 60% positive votes from people in the crowd.

To make sure she's not going to embarrass herself, she performed her act in front of 100 random people from her school. About 90% of the people said they would give her a positive vote. She calculated the margin of error and found it's well within the range above 60%, so she decided to go to the audition.

What is the objective of Nour's study?

Is the study appropriate for the statistical questions it's supposed to answer?

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