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]    


Related Questions

The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.

How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.

Answers

Answer:240 visitors are at the zoo

Step-by-step explanation:

Answer:

54

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."

9am-10am is 6 visitors

10am-11am is 6*3=18 visitors

11am-12pm is 18*3=54 visitors

WILL GIVE BRAINLIEST!

Answers

D)

Table D is the only table of the four that represents a graph in which, when x increases, y increases at a constant rate, like a linear graph should. This means that, when graphed, it would show a straight line, with slope 0.5

J(3x3- 5x2 + 3x + 4) dx

Answers

Answer: jdx(3x + 3)

Step-by-step explanation:

1. Simplify 3 x 3 to 9.

2. Simplify 5 x 2 to 10.

3. Simplify 9 - 10 + 3x + 4 to 3x + 3.

4. Regroup terms.
What’s nine plus ten 21

How many minuets would it take me to get 10,000 points if I get 60 points every 5 minuets?

Answers

Step-by-step explanation:

833.3 I believe and u welcome if I'm right

It would take around 833.3 minutes to get 10,000 points

Hope this helps

If a watch costs $ 40 and you must pay 6.5 % sales tax

Answers

Step-by-step explanation:

you will end up paying $66 dollars

Find the indicated term of the arithmetic sequence.

22nd term: a1 = 4; d = 4

The 22nd term of the arithmetic sequence is:
.

Answers

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

plz give brainliest

HELP FAST PLEASE!!! PLEASE

Indentify the interval on which the function is increasing.

Answers

Answer: [0,3]

The line is going up from left to right between 0 and 3 on the x-axis. We use a closed bracket because it is a open circle.

The cafeteria offers two snack options as shown in the table. Out of 18
students, 8 students choose Option B and the rest choose Option A. If the
total cost of option A is the same as the option B, what is the price of a
carton of milk?”

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

can somebody help me please ..

Answers

Answer: Red

Step-by-step explanation:

The y intercept is -2 so its either green or red

the slope is positive so its red

What is the missing number that makes the fractions equivalent?
1 4/7=?/42

Answers

Answer:

84

Step-by-step explanation:

You need to figure out 7 times what gets you 42

6 x 7 = 42

then you do the same for 14

14 x 6 = 84

sorry if this wasn't a good explanation

What is -23/6 - 7/3
A-37/6
B-30/9
C-16/6
D37/6​

Answers

Answer:

A

Step-by-step explanation:

i solved it

what is 110 is 350 what is the percent

Answers

Answer:

31.43

Step-by-step explanation:

Answer:

31.43%

Step-by-step explanation:

What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answers

Answer:

x576 567 871 12 135 35l4367 89

Answer:

210cm

Step-by-step explanation:

54+66+30+42+18=210cm^2

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

B) divide the total spent by the quantity bought:

C = 22.75/7

C = 3.25

Each toy cost $3.75

Which expression uses the associative property to make it easier to evaluate
(16- })?
OA. (16 )2
OB. ( 16)
Oc. 16(3)
OD. ( 16)

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

Help please this is my last question to my test need help don’t pass this up

Answers

Answer:

I dunno... I'm sorry I can't help

Step-by-step explanation:

Answer:

2z

Step-by-step explanation:

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
that is multiplied by the previous y-value instead of being added like the
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

Graph the line.
y=-3x - 3

Answers

Step-by-step explanation:

:) <333333 .! :)))))))))

]
Snow day problem, please answer worth 10 points

Answers

The answer is 35 ;) hope I helped

WILL GIVE BRAIN IF YOU ANSWER CORRECT
Use properties to evaluate 7/5(1/4÷7/4)(-10)
O A. 5
O B. 2
O C. -2
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:

Have an amazing day luvs!!!!

xx

10 POINTS !!!! solve using elimination -2x - y = 5 3x -y = -20 ( , )

Answers

Answer:

(-5,5)

Step-by-step explanation:  add the equations in order to solve first variable. put the value in the other equations to solve the remaining variables- math  way

HELP PLEASE AND THANKYOU!!!l

Answers

X=-7

That’s the really answer
The answer would be x=-7 so the top person is correct:)

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire scored. How many did the scored

Answers

Answer:

45

Step-by-step explanation:

yee

7.2 should be your answer :)

Someone help me out please

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.

Solve (set the terms equal to 0):

x-1 = 0     x = 1

x-5 = 0     x = 5

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

The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.

Evaluate the expression 2l + 2w for l = 5.7 and w = 6.2.

Answers

Answer:

so 5.7 square root is 2.45 so minus that by 2K and you get 3.4

Step-by-step explanation:

17 = 5 k - 2
k=?
I'm really in a hurry to figure out what K is, and if anyone really wants to do it, please tell me how to do it. Thank you.

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.

 - In this case, we have 5 being multiplied by k. So to get rid of the 5 we do the opposite: Divide by 5 on each side.

______________________________

george ate 2/3 container

Answers

Answer:

Step-by-step explanation:

and threw up after yes

What is the greatest common factor of 48x3, 12x4, and 36x5?

Answers

12 is the greatest common factor

What is the slope and y intercept of this diagram

Answers

The Answer is 1/5 and 5

slope: 1/5 y-intercept: 5

What is 63 divided by 36?

Answers

Answer:

1.75

Step-by-step explanation:

used a calculator

Answer:

63÷36=1.75

Step-by-step explanation:

itz easy

mark me as a brainlist

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