The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unknown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.

Given: [tex]\sigma=\$2,050[/tex]

n= 256

Then, the standard error of the mean:-

[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]

Hence, option a. is correct.

Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

Step-by-step explanation: I took this test before so I hope this helps gl on the test

a) The charge for using 300 kWhr in a month is $ 32.41

b) The charge for using 700 kWhr in a month is $ 59.30

c) The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The monthly charge = $ 7.58

The monthly charge for per kWhr = $ 0.08275

The monthly charge per kWhr over 400 kWhr = $ 0.06208

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Now ,

a)

The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300

                                                         = 7.58 + 24.825

                                                         = $ 32.405

Therefore , The monthly charge for 300 kWhr is $ 32.41

b)

The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

The monthly charge for 700 kWhr =  
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Substituting the value for x as 700 , we get

= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )

= 40.68 + 18.624

= $ 59.304

Therefore , The monthly charge for 700 kWhr is $ 59.304

c)

Let x represent the number of kWhr used and C be the monthly charge for x kWhr.

The model can be split into 2 parts of condition , where

For , 0 ≤ x ≤ 400

The function is 7.58 + 0.08275x

For , x > 400

The function is 15.848 + 0.06208x

Therefore ,

The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304

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Answer:

The answer is "(27,3]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\to f(-5) = (-5)^2 + 2 = 25 +2 =27\\\\\to f(7)= 7-4 = 3\\\\answer \ is = ( 27, 3]\[/tex]

Answer

(27,3]

Step-by-step explanation:

Correct In HW

Answer:

Step-by-step explanation:

It's given that a║b and m∠6 = 128°

Since, ∠1 and ∠3 are the consecutive interior angles,

m∠6 + m∠1 = 180°

128° + m∠1 = 180°

m∠1 = 180° - 128°

= 52°

Since, ∠6 and ∠3 are the corresponding angles,

Therefore, ∠6 ≅ ∠3

m∠3=52°

Answer:

2/5

Step-by-step explanation:

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

Answer:

C.

Step-by-step explanation:

-2 is in front of x so thats gonna be the slope

and +3 is the y-intercept

Answer:

do 9.60 divided by 12

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.

Answer:

The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].

Step-by-step explanation:

From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - Intercept, dimensionless.

The slope of the tangent line at [tex]x = -1[/tex] is:

[tex]f'(x) = -3\cdot x +4[/tex] (2)

[tex]f'(-1) = -3\cdot (-1) +4[/tex]

[tex]f'(-1) = 7[/tex]

If we know that [tex]m = 7[/tex], [tex]x = -1[/tex] and [tex]y = 6[/tex], then the intercept of the equation of the line is:

[tex]b = y-m\cdot x[/tex]

[tex]b = 6-(7)\cdot (-1)[/tex]

[tex]b = 13[/tex]

The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].

Answer:

it helps simplify difficult problems . it breaks down expressions into the difference or the sum

of two numbers.

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

Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

-----------

Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

50*ds/dt = 150 + 400

50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

-----------

Side note: The information t = 40 is never used. It's just extra info.

Answer:

992

Step-by-step explanation:

Answer:

38%

Step-by-step explanation:

1178 / 3100 = 0.38

38%

ANSWER: 1 is a subset of 3,5,7

Answer:

X=(0,3) (3,0) Y=(0,5)(5,0) Z=(7,0) (0,7)

Step-by-step explanation:

suppose ,3=x ,5=y and 7=z

0 is the common number

Answer:

1. -7.5

2. $1

3. 40

Step-by-step explanation:

For number 1, it can be solved by using the PEMDAS method, or see explanation below:

6x - 4x - 36 = 6 - 2x

2x - 36= -2x + 6

4x + 36 = 6

4x = -30

x = -15/2 or -7.5

For number 2, substitute 3 into both equations:

f(x) =1.50(3) + 2.00

and

f(x) = 2.00(3) + 1.50

This would get $6.50 and $7.50, which, if subtracted, gets $1.

For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.

Hope this helps!

Answer:

110.112

Step-by-step explanation:

Answer:

I am not certain but I think it's no solution but how the number of X's their is and won't have it's value, it's by themselves

Answer:

13

Step-by-step explanation:

156/12

Answer:

4L/7L

Step-by-step explanation:

32:56 is the same as 32/56

They can be divided by a maximum of 8

32/8=4

56/4=7

4/7

Answer:

8

Step-by-step explanation:

Identifying the Pattern:

We are told that 'HOPE' is called 3

we can see that there are 4 characters in the word HOPE

So, we can see that the number is one less than the number of characters in the given word

Let's see if the observation we made still holds for the other Words:

We are also told that 'GOVERNMENT' is called 9

the number of characters = 10

Here, we once again notice that the code number is one less than the number of characters in our word

We are Given that 'PEACEFUL' is called 7

the number of characters = 8

Once again, our observation holds true

Hence, our observation holds true for all the words

Therefore, we can say with certainty that the pattern is:

code number = (number of characters of the word) - 1

Code number for 'HAPPINESS':

from the above, we know that:

code number = (number of characters of the word) - 1

we can see that 'HAPPINESS' has 9 words, plugging that value:

code number = 9 - 1

code number for 'HAPPINESS' = 8

Answer:

yes

Step-by-step explanation:

12p<=56

12*3<=56

36<=56

Correct.

Hope this helps :D

Answer:

Step-by-step explanation:

Answer:

0.411^5 times 0.599

Step-by-step explanation:

0.599 chance of landing on heads.

0.411 chance of not landing on heads.

0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).

Answer:

Step-by-step explanation:

125 =200p

125/p=200

So the answer is option D

The correct equation for 125 is what percent of 200 is:

C (125/p = 200).

To write the equation for 125 is what percent of 200, follow these steps:

Step 1: Identify the unknown value.

In this case, looking for the percent, which can represent as p.

Step 2: Set up the equation.

To express the relationship between 125 and 200 as a percent, use the equation: 125 = p/100 * 200.

Step 3: Simplify the equation.

To simplify, divide both sides of the equation by 200 to isolate p:

125/200 = p/100

Step 4: Simplify further.

To simplify the left side, divide both the numerator and denominator by 25:

5/8 = p/100

Step 5: Rewrite the equation.

Finally, rewrite the equation as:

125/p = 200

Therefore, the correct equation for 125 is what percent of 200 is:

C (125/p = 200).

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Answer:  18

Step-by-step explanatio    18

Answer:

Step-by-step explanation:

Step one:

The initial amount that Tony has= $1000

final amount =$760

amount spent= 1000-760= $240

time taken is 4 months

Step two:

Required:

the rate of spending

we know that rate= quantity/time

rate= 240/4

rate= $60 per month

Hence Tony's amount is changing at $60 monthly

Answer: -60

Step-by-step explanation:

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

Answer:

This is a hw site pls dont post this, if you dont need help. I dont want your account to be deleted. :) Hope u have a great day tho, but in the future dont post this.

Step-by-step explanation:

Answer:

Is it A

Step-by-step explanation: