A sociologist found that in a random sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.2. The population standard deviation is 2.1
Find the 99% confidence interval of the mean number of jobs. Do not round the z value, it should have two decimal places, example 2.34. Round the interval to one decimal place, example 3.2 < μ < 5.6

[tex]\bf (~~\stackrel{\stackrel{x}{\downarrow }}{-3}~~,~~ y~~)\qquad \qquad y=\left( \cfrac{1}{4} \right)^x\implies y=\left( \cfrac{1}{4} \right)^{-3}\implies y=\left( \cfrac{4}{1} \right)^{3} \\\\\\ y=4^3\implies y=64[/tex]

Final answer:

To find the value of y for the point (-3, y) on the function y = (1/4)^x, you substitute x with -3 and calculate y = (1/4)^(-3) = 1/64.

Explanation:

To find the value of y when the point (-3, y) lies on the graph of the function y = (1/4)^x, we need to substitute x with -3 in the given function.

So, we have y = (1/4)^(-3).

Now we find the value of y by calculating the inverse of 4 cubed, which will be:

y = 1/(4^3) = 1/64.

Therefore, y = 1/64.

Answer:

Decimal Form: 0.875    Fraction Form: 7/8

Step-by-step explanation:

7 divided by 8 is 0.875 and another way to write seven eighths is 7/8

I hope this helps

Answer:

Brown.

Step-by-step explanation:

Theoretical probability for each:

 625

   5

= 125

122 is closest to 125. Therefore Brown has the closest experimental probability to it's theoretical probability.

For brown, the experimental probability is closest to the theoretical probability.

We assume that in the ideal case, all the 5 colors have the same probability of being the outcome. Then the probability for each color will be:

P = 1/5 = 0.20

We need to see for which color the experimental probability is closest to 0.20.

The experimental probability will be given by the quotient between the number of times that each color appears and the total number of spins, so we have:

As you can see, the closest one to 0.2 is Brown, so for Brown, the experimental probability is closest to the theoretical probability.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Omar sells 9 muffins. I hope this helps!

Answer:

option d

{ 4, 8 , 16 , 32 }

Step-by-step explanation:

Given in the question a function

f(x) = 2x

initial value[tex]x_{0}[/tex]=2

First iteration

f(2) = 2(2)

     = 4

[tex]x_{1}=4[/tex]

Second iteration

f(4) = 2(4)

     = 8

[tex]x_{2)=8[/tex]

Third iteration

f(8) = 2(8)

     = 16

[tex]x_{3)=16[/tex]

fourth iteration

f(8) = 2(16)

     = 32

[tex]x_{4}=32[/tex]

Answer:

I think both

Step-by-step explanation:

Statistical question are questions that can be collected by data that varies. Here, both statements ask for a variety of data from multiple students, so I believe both are statistical. I hope this helps!

Answer:

both :) welcome hope it helps

mean is the answer nnnnnnnnn

Answer: choice a, the mean

Step-by-step explanation:

Answer:

648

Step-by-step explanation: You have to do 792 divided by 11 wich = 72 then do 72 x 9 and it = 648.

hence it forms a straight line

Answer: you line is a straight line, is a positive line.

Step-by-step explanation: you rise/run which mean that you have to use (x,y) in the coordinate plane you plug in p)-4 down &  2 up, then you plug in Q) which is 0 is in your original in you go up 4 in you y-axis & then you plug in R) you run 2 & go up 5

The value of the given expression i.e. [tex]Log_864[/tex] is 2.

Given that,

Based on the above information, the calculation is as follows:

Let us assume [tex]Log_864[/tex] be n

So,

[tex]64= 8^n\\\\8^2 = 8^n[/tex]

n = 2

Therefore we can conclude that the value of the given expression i.e. [tex]Log_864[/tex] is 2.

Learn more: brainly.com/question/15673235

After the above expression has been evaluated, Log8 64 = 2.

To evaluate the expression "Log8 64," we need to determine the exponent to which the base 8 must be raised to obtain 64.

In this case, we are looking for the value of x in the equation 8ˣ = 64.

By observing that 8 is equal to 2³, we can rewrite the equation as (2³)ˣ = 64.

Using the property of exponentiation, we can simplify further: 2³ˣ = 64.

Since 64 is equal to 2⁶, we can equate the exponents - 3x = 6.

Solving for x, we find x = 2.

Therefore, Log8 64 = 2.

Learn more about Log at:

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#SPJ6

Answer:

x = 128

Step-by-step explanation:

x and 128 are vertical angles

Vertical angles are equal

x = 128

Hi your answer is 128

Answer: 220000 grams for male

Step-by-step explanation:

The difference between 85,000 grams and 220 kilograms is that the Male gorilla weighs about 135,000 grams more than the female gorilla.

You can do the math by converting the kilograms to grams and then subtracting how much the Male gorilla weighs by how much the female gorilla weighs.

Final answer:

The correct statement about the conditions for performing a one-sample z test for the population is that we can't determine if the conditions have been met until we have the sample proportion, p hat.

Explanation:

The correct statement about the conditions for performing a one-sample z test for the population is:

a. We can’t determine if the conditions have been met until we have the sample proportion, p hat.

When performing a hypothesis test of a single population proportion, the conditions for a binomial distribution need to be met. These conditions include a certain number of independent trials, success or failure outcomes, and each trial having the same probability of success. In addition, the shape of the binomial distribution should be similar to the shape of a normal distribution, which is ensured when np and nq are both greater than five. Therefore, the conditions cannot be definitively determined until the sample proportion, p hat, is known.

The Large Counts condition is met (np >= 10, n(1-p) >= 10), allowing the z-test. Other conditions are satisfied, validating the test.

Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**

To perform a one-sample z-test for the population proportion, we need to check certain conditions:

1. **Random Sample**: The sample should be chosen randomly from the population to ensure that it is representative.

2. **Normality of Population**: There are two criteria for this condition:

  - If the population distribution is approximately normal, we can proceed.

  - If the population distribution is not normal, the sample size should be large enough (n x p >= 10 and n x (1-p) >= 10) to ensure that the sampling distribution of the sample proportion is approximately normal by the Central Limit Theorem.

3. **Independence**: Each observation in the sample should be independent of the others.

Given:

- Sample size (n) = 30

- Population proportion (p) = 0.04

We need to check if these conditions are met.

a. **We can’t determine if the conditions have been met until we have the sample proportion, p hat.**

  - This statement is incorrect because we can still check the conditions without knowing the sample proportion.

b. **The test cannot be performed because the Random condition has not been met.**

  - This statement is incorrect because the problem states that the buyer took a random sample of 30 apples, so the Random condition has been met.

c. **All conditions for performing the test have been met.**

  - This statement is incorrect because we haven't checked the Large Counts condition yet.

d. **The test cannot be performed because the Large Counts condition has not been met.**

  - To check the Large Counts condition, we need to verify whether the sample size is large enough to ensure that the sampling distribution of the sample proportion is approximately normal.

  - The Large Counts condition is met if both np >= 10 and n(1-p) >= 10.

  - Here, n = 30 and p = 0.04

  - np = 30 x 0.04 = 1.2

  - n(1-p) = 30 x (1 - 0.04) = 28.8

  - Both np and n(1-p) are greater than or equal to 10.

  - So, the Large Counts condition is met.

Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**

Answer:

c:188.1 gal

Step-by-step explanation:

Baisically, you have to start by finding the volume of the pool. You multiply length*width*height(deepness).

3.8*5.5*1.2=25.08 ft^3

To convert from ft to gallons, we have to multiply by 7.5

25.08*7.5=188.1 gal

Answer:

see below

Step-by-step explanation:

In clock arithmetics, your answer has to be in the range 0-N where N is the number of hours in your given clock.

If the initial answer < 0, you add N until you get >=0

If the initial answer >= N, subtract N until you get < N.

a) 8 - 11 (12 clock ) = -3, then -3 + 12 = 9

(a) 9 + 10 (18-clock)  = 19, then 19 - 18 = 1

B) 4 Divide 9 ( 12 clock ) , 4/9

(B) 2 Divide 5 (13-clock)  , 2/5

C) 7 - 6 ( 12 clock ) = 1, fine.

(C) 1 - 5 ( 37 - clock )  = -4, then -4 + 37 = 33

D) 8 Divide 5 ( 12 clock )  = 8/5, fine

( D ) 3 * 9 ( 18 clock ) =27, then 27 - 18 = 9

Answer:

Shakia will read 40 pages each day.

Step-by-step explanation:

To find out how many pages Shakia should read each day, you have to divided 200 by 5, and you will get an answer of 40 pages.

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Answer:

The estimate price for all three items is $22.00.

The actual price would be $21.97.

Step-by-step explanation:

To find the estimate price, just round each price to the nearest whole number, so $6.99 → $7.00, $8.99 → $9.00, and $5.99 → $6.00. Add them all together and you'll get $22.00.

To find the actual price without estimating, simply add $6.99 + $8.99 + $5.99, and the answer is $21.97.

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Answer:

49 days are equal to 7 weeks.

Step-by-step explanation:

Since there are 7 days in 1 week, and you want to find out how many days are in 7 weeks, you just multiply 7 x 7 and get 49 days.

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Answer:

2/3 of the books were not placed on the first shelf.

Step-by-step explanation:

All you have to do to answer this problem is subtract 3/3 - 1/3 and you'll find out how many books are not placed on the first shelf.

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In order to solve the last problem, I need more information.

Answer:

[tex]a=56.4\degree[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be an acute angle.

To solve: [tex]\sin(a)=0.8325[/tex], we take the sine inverse of both sides to obtain:

[tex]\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)[/tex]

Recall  composition property of a function and its inverse function.

[tex]f^{-1}(f(x))=x[/tex]

We apply this property to the left hand side to obtain;

[tex]a=\sin^{-1}(0.8325)[/tex]

We now use our scientific calculator to obtain;

[tex]a=56.3564115\degree[/tex]

We round to the nearest tenth to obtain;

[tex]a=56.4\degree[/tex]

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

8 = 2 x 2 x 2

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: three occurrences

3: one occurrence

So, our LCM should be

2 x 2 x 2 x 3 = 24.

So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.

Answer:

13 by using pythagorean theorem

Step-by-step explanation:

X-20 because x is the width and the length is x-20

Answer:

[tex]3b(2n-5)(5n-2)[/tex]

Step-by-step explanation:

First we can factor out a 3b from each of the terms.

[tex]30n^2b-87nb+30b \\ \\ 3b(10n^2-29n+10)[/tex]

Then, we can factor this out.

[tex]3b(10n^2-29n+10) \\ \\ 3b(2n-5)(5n-2)[/tex]

And you'll get your answer!

Answer:

3b(2n-5)(5n-2)

Step-by-step explanation:

to solve 30n²b - 87nb +30b, we would need to factor out a common term among them

the entire expression has the number 3 in common, as they are all factors of 3. each term has the letter b included as well, so we can factor out 3b from the expression

3b(10n² - 29n + 10)

now we can factor the expression 10n² - 29n + 10. there are many ways we can factor this. i am choosing to factor by grouping, which means breaking down the expression into 4 terms and factoring each term.

to break this down, we can write -29n as a difference. the expression looks as follows:

3b(10n² - 4n - 25n + 10)

now we seperate the new expression into 2 groups with 10n² - 4n being their own group, and -25n + 10 being another

we will now factor 10n² - 4n. both have 2n in common, so we will factor that out:

2n(5n - 2)

next is -25n + 10, both have 5 in common, but we want the factorization of -25n + 10 to be equal to 5n - 2. to do this, we would factor out a -5 to get a -2 out of 10

-5(5n - 2)

the expression looks like the following:

3b(2n(5n-2) -5 (5n-2)) < we can drop a 5n - 2 since there are 2 of them and combine 2n - 5 as another factor of the expression. the fully simplified expression looks like the following:

3b(2n-5)(5n-2) is our answer

Answer:

14

Step-by-step explanation:

a = -2

b = 4

a - ab + b

= (-2) - (-2)(4) + (4)

= -2 - (-8) + 4

= -2 + 8 + 4

= 14

Answer:

10

Step-by-step explanation:

[tex]a=-2 \\ \\ b=4 \\ \\ a-ab+b \\ \\ -2-(-2)(4)+4 \\ \\ -2-(-8)+4 \\ \\ -2+8+4 \\ \\ -2+12 \\ \\ 10[/tex]

Answer:

C. The events are independent of one another

Step-by-step explanation:

If the probability remains the same whether or not hardcover or paperback is bought, then the probability is not reliant on this variable, and is independent.

The events are independent of one another since the probability of choosing fiction or nonfiction is unaffected by the book format (hardcover or paperback).

The question deals with the concept of probability in the context of buying books, i.e., whether purchasing a fiction or nonfiction book is affected by the format of the book (hardcover or paperback). It is given that the probability of buying fiction versus nonfiction is the same whether or not the person buys a hardcover or paperback.

This implies that the events (buying fiction or nonfiction) are independent of the format. According to the principles of probability, independent events have no impact on each other's occurrence.

The formula for independent events states that P(A AND B) = P(A)P(B), and P(B|A) = P(B).

Answer:

27

Step-by-step explanation:

Remember to follow PEMDAS. Note that, when multiplying or dividing:

1) one positive and one negative = negative number

2) two positive = positive number

3) two negative = positive number

(-7)(-5) = -7 * -5 = 35

+(-8) = +1 * -8 = -8

Subtract:

35 - 8 = 27

27 is your answer.

~

first do -7 times -5 because Parentheses means multiplication. After, you would add your answer to -8. Your answer would be 27.

Answer:

8

Step-by-step explanation:

if you substitute 3 for x the equation becomes y=2(3) + 2

using order of operations you multiply 3 by 2 and then add 2 which will give you 8

Answer:

zero (0)

when the exponent 0 is applied to a nonzero base, the result is always 1

Step-by-step explanation:

Acoording to the zero power rule, a non zero number raised to the power 0 is always 1:

[tex]a^{0} =1[/tex] whit [tex]a=0[/tex]

Let's check this property using an example:

We know that a quantity over itself is always 1:  [tex]\frac{2}{2} =1[/tex]

We also know that a base without exponent is always raised to the power 1: [tex]2=2^{1}[/tex]

Now, according to the division power rule [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex], so [tex]\frac{2}{2} =\frac{2^{1} }{2^{1} } =2^{1-1} =2^{0} =1[/tex]

Answer:

Step-by-step explanation:

The coordinates of the midpoint M are the average of the coordinates of the two endpoints:

[tex]M_x = \dfrac{2+x}{2},\quad M_y = \dfrac{3+y}{2}[/tex]

Plug the known coordinates of the midpoint:

[tex]-2 = \dfrac{2+x}{2},\quad 6 = \dfrac{3+y}{2}[/tex]

Solve for x and y:

[tex]-4 = 2+x,\quad 12 = 3+y[/tex]

[tex]x=-6,\quad y = 9[/tex]

Answer:

1/9

Step-by-step explanation:

To find the geometric mean of two numbers,  multiply them together, then take the square root

G.M = sqrt( 1/3 * 1/27)

        = sqrt(1/81)

       = 1/9

Answer:

to find a perimeter of a square all you need to do is count how many units on one side. Then you multipluy it by four since there are four sides in a square

Step-by-step explanation:

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

The given statement is a false statement.

We know that the transformation of the type:

f(x) to f(x+k)

is a horizontal shift of the graph.

The graph is shifted k units to the right if k is negative and if k is positive then the graph is shifted k units to the left.

Here we have the graph as:

                [tex]y=6\cos (x)-3[/tex]

and the translated graph is given by:

       [tex]y=6\cos (x-2)-3[/tex]

This means that:

f(x) → f(x-2)

i.e. the graph is shifted horizontally 2 units to the right ( since k=2 is positive )