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

Whats the slope of the line?​

Answers

Answer:

-4,5

Step-by-step explanation:

There are two ways you can figure it out.

One way is to choose any two distinct points (x1,y1) and (x2,y2) on the line then use the slope formula below to find the slope m.

m=y2−y1x2−x1. So your points are (-2,2) and (-2,3)

So you need to find the y and x coordinates-

Should I continue explaining? Or r u good?

Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?

x
x − 1
2x − 3
3x − 2

Answers

Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?

Answers

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

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

Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*

Answers

Answer: The answer should be 0.125

Step-by-step explanation:

Garrett paid $20 for five movie tickets. Find the cost per ticket.
Write the unit rate rounded to the nearest hundredth

Answers

Answer:

4 is the unit rate

Step-by-step explanation:

Identify the graph that displays the depth of water in a swimming pool after the drain is opened.​

Answers

Answer:

option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.

Answer:

b

Step-by-step explanation:

I need help please lol

Answers

Answer:

b d f  i think sorry if this doesnt help but have a great day :)

Step-by-step explanation:

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

2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s

At Harry’s discount handware everything is sold for 20% less than the price marked .if Harry buys tool kits for $80 what price should he mark them of he wants to make 20% profit on his cost

Answers

Answer is D-$120

20% of $80=16
so, the selling price=80+16=$96
Let, by the mark price of 20% profit=x
so, x-(20% of x)=96
or, x-x/5=96
or, x= (96*5)/4
or, x=$120 (Ans)

Rhonda's backyard has a rectangular patio that is 12.5 feet long,

Answers

Answer:

34992.66

Step-by-step explanation:

nice to know!

SMART PPL PLEASE help meeeeeeeeeeeeeee

Answers

Answer:

the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable

M is independent because it can change without depending on others factors. You can do 1 minute or 60 minutes but it won’t matter.
C is dependent. Variable C depends on variable M. If variable M increases, so does C. Since C is the calories burned, the amount of calories burned depends on how long you’ve exercised. Therefore
M is independent and C is dependent

What is the decimal multiplier to decrease by 2.7%?

Answers

Multiplying by 1 keeps it the same. A number greater than 1 would be an increase and a number below 1 would be a decrease.

The decrease is 2.7% which is written as 0.027 as a decimal.

Subtract that from 1:

1 - 0.027 = 0.973

The multiplier would be 0.973

Spencer randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $21,032 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Spencer found a z test statistic of -1.35.

Given the data provided, what is the p-value of the z-test statistic?

Answers

Answer: 0.0885

Step-by-step explanation:

To find :  p-value of the z-test statistic.

p-value of the z-statistic depends on the alternative hypothesis.

Here , Alternative hypothesis :  µ < $21,706 , which is a left tailed hypothesis.

So we will check the area to the left side of the z-statistic.

Since z= -1.35

P(Z<z) =P(Z<-1.35)= 1- P(Z<1.35)

= 1- 0.9115

= 0.0885

Hence, the required p-value = 0.0885

Answer:

0.0885

Step-by-step explanation:

Max bought a new pair of basketball shoes that were on sale for 25% off. If the regular price of the shoes was $75.95, what is the amount of discount?

Answers

$56.96

1) 75.95 x .25= 18.9875= 18.99
2) 18.99 -75.95= 56.96

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

please help



Your mom gives you $30 to buy some books. Write the money you have left as a function of the cost of books. Let
b represent the cost of books, and s represent the money you have left.

Answers

Answer:

D

Step-by-step explanation:

because b - 30 = s your buying something and subtacting from the money you had before

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

Mr.Farrar spent a total of $43.87 after tax on new clothes at a clothing store. He brought 1 pair of sandals for $8.02 t-shirts fo $9.49 each and 1 pair of jeans. The tax on the purchase was $2.87 how much did Mr.Farrar pay for the pair of jeans?

Answers

Answer:

43.87 - 8 = 35.87  (sandals)

9.49 + 9.49 = 18.98 ( for two t-shirts)

35.87 - 18.98 = 16.89 (t-shirts)

16.89 - 2.87 = 14.02 (taxes)

Andrea payed $14.02 for a pair of jeans

Hopes this helps you!

Step-by-step explanation:

someone sells a product for 10 cents and he sells 1000 products, how much money did he earn

Answers

Answer:

$100

Step-by-step explanation:

10¢ × 1,000 = 10,000¢To convert to dollars: Cents ÷ cents in 1 dollarTo convert to dollars: 10,000¢ ÷ 100¢ = $100

I hope this helps!

He earns $100 from selling

[tex]\frac{r}{6} = 8[/tex]

what is r?

Answers

The answer is 48, hope that helps
My answer~

r = 48

My explanation~

r/6 = 8 // - 8

r/6-8 = 0

1/6*r-8 = 0 // + 8

1/6*r = 8 // : 1/6

r = 8/1/6

r = 48

And to check~

48/6

48 ÷ 6

=

8

:PP hope i helped!!have a good day :3

Solve the following problems:
Find x , y PLEASE HELP

Answers

Answer:

x=5/4, y=7/4

Step-by-step explanation:

This is a similar triangles problem.

The first triangle (the smaller one) has the lengths 5, 8 and 7.

The second triangle (the lager one) has the lengths 5+x, 10, and 7+y

Let's first solve for x

In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)

since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)

For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)

here's the proportion

5/(x+5)=8/10

But before we multiply, we can simplify 8/10 to 4/5

so

5/(x+5)=4/5

Cross multiply

25=4x+20

5=4x

5/4=x

For y, we can do a similar process

We can use 8/10 or 4/5 again

and the ratio of the sides for y will be 7/(y+7)

7/(y+7)=4/5

35=4y+28

7=4y

7/4=y

Hope this helps!

A tank is 4/5 full of water after drawing
off 190 liters,5 liters of water
is just 1/6 full .what is the capacity of the tank​

Answers

Answer: L300



Explanation:
(4/5)L
t - 190 = (1/6)L
---
(4/5)L - 190 = (1/6)L
(24/30)L - (5/30)L = 190
(19/30)L = 190
L = 190(30/19)

Find the distance represented by x

Answers

180

Explanation:
Set a equation of a ratio 120/90=x/135
And calculate!
90x=(120)(135)
90x=16200
x=180

the distance of X is 180ft

Solve for a .

5.4 = a - (-1.8)


a =

Answers

5.4=a+1.8
5.4-1.8=a
a=3.6

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

Distribute minus sign.

5.4 = a + 1.8

Move constant to the left hand side and change their sign.

5.4 - 1.8 = a

3.6 = a

3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?

Answers

Answer:  6 drops of blue

==================================================

Explanation:

We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3

Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.

------------------

Another approach:

x = some positive real number

(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)

2/3 = 4/x

2x = 3*4 .... cross multiply

2x = 12

x = 12/2 .... divide both sides by 2

x = 6

So 6 drops of blue go with 4 drops of red.

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent

Answers

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

At a sale, dresses were sold for $22 each. This price was 55% of a dress's original price. How much did a dress originally cost? Answer: Submit Answer attempt 1 out o Privacy Policy Terms of Service acer​

Answers

Answer:

$9.90

Step-by-step explanation:

can anyone help me thanks

Answers

Answer:

grams

Step-by-step explanation:

kilometers is for length, milugrams are too small and millimeters dosent make sense

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