The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is​ normal, with a mean of ​$5971 and a standard deviation of ​$219 . You take a random sample of 70 employees from the company and find that their mean monthly income is ​$5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample​ means? Round to one decimal place.

Answers

Answer 1

Answer:

The value is  [tex]z = -8.4[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  70  

    The mean is  [tex]\mu = \$ 5971[/tex]

    The standard deviation is  [tex]\sigma = \$ 219[/tex]

     The sample mean is  [tex]\= x = \$ 5751[/tex]

Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as

         [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]    

=>      [tex]z = -8.4[/tex]    


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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."

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D)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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sorry if this wasn't a good explanation

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.

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∴ the x-intercepts are (1,0) and (5,0).

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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O A. 5
O B. 2
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O D. -5

Answers

Answer:

C

Step-by-step explanation:

First do what’s in the parentheses. Do copy flip flip

1/4 x 4/7 = 1/7

Then do multiplication 7/5 x 1/7 = 1/5

Then multiply 1/5 by -10 and you get -2

Answer:

C.) -2

Step-by-step explanation:

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Snow day problem, please answer worth 10 points

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k=?
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Answers

Answer:[tex]\boxed{k=\frac{19}{5},~3\frac{4}{5},~3.8}[/tex]Solution Steps:

______________________________

1.) Swap sides so that all variable terms are on the left hand side:[tex]5k-2=17[/tex]

 - This is an optional step. I prefer the numbers to be on the left hand side, but it's not necessary.

Equation at the end of Step 1:

[tex]5k-2=17[/tex][tex]17=5k-2[/tex]

2.) Add 2 to both sides:[tex]-2+2=[/tex] Cancels Out[tex]17+2=19[/tex]

 - When solving problems like this, to get k alone you have to do the opposite of what you see.

 - In this case, we have a -2. So to get rid of -2 we do the opposite: +2 on each side.

Equation at the end of Step 2:

[tex]5k=19[/tex]

3.) Divide both sides by 5:[tex]5k[/tex] ÷ [tex]5=k[/tex][tex]19[/tex] ÷ [tex]5=3.8[/tex]

 - When solving problems like this, to get k alone you have to do the opposite of what you see.

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______________________________

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(16- })?
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OB. ( 16)
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Answers

Answer:

Option B: (½•16)⅓

Step-by-step explanation:

The associative property states that we can add or multiply numbers in a group regardless of how those numbers are grouped. And that we will get the same answer.

For example;

x(y•z) = (x•y)z = (x•z)y

Now in our question, we want o evaluate; ½(16•⅓)

Using the associative property, the best expression will be: (½•16)⅓

It's the best expression because the terms in the bracket are easy to multiply out without remainder.

Thus, option B is correct

The cafeteria offers two snack options as shown in the table. Out of 18
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total cost of option A is the same as the option B, what is the price of a
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Answers

Answer:69,420

Step-by-step explanation:

9+10=21

The price of a carton of milk is $1.00

The given parameters are:

Number of students, n = 18Option A = 8

Since 8 chose option A, it means that 10 would choose option B

So, the equation that represents when both price are equal is:

[tex]8(2x + 0.5) = 10(x + 1)[/tex]

Where

2x + 0.5 represents the unit price of option A

x + 1 represents the unit price of option B

Open the brackets

[tex]16x + 4 = 10x + 10[/tex]

Collect like terms

[tex]16x - 10x = 10 - 4[/tex]

Evaluate the like terms

[tex]6x = 6[/tex]

Divide

[tex]x = 1[/tex]

Hence, the price of a carton of milk is $1.00

Read more about equivalent equations at:

https://brainly.com/question/2972832

PLEASE HURRY!!

(a) Billy bought seven cat toys. Each cat toy costs the same amount. He spent a total of $22.75

(a) Write an equation that represents the situation. Use c to represent the cost of each cat toy.


(b) Solve for c and justify your solution by checking your answer.

Answers

Multiple the number of toys bought by c to equal the total spent:

A) 7c = $22.75

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C = 22.75/7

C = 3.25

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The table on the left is that of a linear function, and the one on the right is that of an exponential function.
Can you tell which function has the higher rate of growth? How?
A)
There is not enough information to make a conclusion.
B)
The linear function is growing faster, because at x = 3 the y-value of the
linear function is larger.
C)
The exponential function is growing faster, because at x = 0 the y-value of
the exponential function is larger.
D)
The exponential function is growing faster, because it grows by a factor
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linear function.

Answers

Answer:

The answer is option D) The exponential function is growing faster, because it grows by a factor that is multiplied by the previous y-value instead of being added like the linear function.

Step-by-step explanation:

We can easily that by evaluating both functions at x = 10

Linear

f(x) = 7*10 = 70

Exponential

f(x) = 2^(10) = 1024

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