A random sample of 100 customers, who visited a department store, spent an average of $77 at this store with a standard deviation of $19. The 90% confidence interval for the population mean is: Select one: o O O a. 75.56 to 79.44 b. 76.89 to 82.11 c. 70.18 to 83.82 d. 73.87 to 80.14

Answers

Answer 1

The 90% confidence interval for the population mean is (73.06, 80.94).

The closest option to this answer is d. 73.87 to 80.14

To calculate the confidence interval for the population mean, we can use the formula:

[tex]CI = \bar{x} \pm z* (\sigma /\sqrt{n} )[/tex]

where:

[tex]\bar{x}[/tex] is the sample mean

σ is the population standard deviation (unknown, so we use the sample standard deviation, s, as an estimate)

n is the sample size

z* is the critical value from the standard normal distribution corresponding to the desired level of confidence (90% in this case)

Plugging in the values we have:

CI = 77 ± 1.645 * (19/√100)

CI = 77 ± 3.94

CI = (73.06, 80.94).

Option to this answer is d. 73.87 to 80.14

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Answer 2

A random sample of 100 customers who visited a department store spent an average of $77 with a standard deviation of $19. The 90% confidence interval for the population mean is: a. 75.56 to 79.44.

The 90% confidence interval for the population mean is calculated using the formula:

(sample mean) +/- (critical value) * (standard error of the mean)

The critical value for a 90% confidence interval with a sample size of 100 is 1.645. The standard error of the mean is calculated by dividing the standard deviation by the square root of the sample size:

$19 / \sqrt{100} = $1.90

Plugging in the values, we get:

$77 +/- 1.645 * 1.90 = $77 +/- $3.13

So the 90% confidence interval for the population mean is from $73.87 to $80.14.

Therefore, the answer is d. 73.87 to 80.14.


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Related Questions

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The solution is -3.

The graph is attached.

Step-by-step explanation:

To solve, first subtract 2 from both sides to get [tex]5q\geq -15[/tex]. Now divide 5 from both sides to get [tex]q\geq -3[/tex].

The graph representing this is attached.

Hope it helps and is correct!

8.

Find the slope of the line.

A. 0
B. -2
C. Undefined
D. 2

Answers

Answer:

C. Undefined

Step-by-step explanation:

Input Data :

Point A  

(

x

A

,

y

A

)

= (2, 5)

Point B  

(

x

B

,

y

B

)

= (2, -2)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

2

5

2

2

=

7

0

m = -INF

Answer:

The answer is C (Undefined)

Step-by-step explanation:

A vertical slope is undefined because it rises and never runs up/down is rise and left/right is run. Rise/Run. 4/0. Four divided by zero is undefined while 0 divided by 4 is zero.

will a one variable equation always have only one solution

Answers

Answer:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. ... Therefore, the equation is always true.

Step-by-step explanation:

We want to see if a one-variable equation always has only one solution.

This is false, as one-variable equations can have no solutions or more than one solution.

So we start with the statement:

"A one-variable equation always has only one solution".

We need to find a counterexample to prove that this is false, and there are really easy counterexamples, like:

x^2 - 4 = 0

This is a one-variable equation, and solving it we have:

x^2 = 4

x = ± √4 = ±2

So here we have two solutions, 2 and -2, thus the statement is false.

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Which expression can be used to solve 3/5 ÷ 7/10. A. 5/3×7/10 B. 5/3×10/7 C. 3/5×10/7 D. 3/5×7/10

Answers

Answer:

3/5 * 10/7

Step-by-step explanation:

To solve division of fractions

3/5 ÷ 7/10

Use copy dot flip

3/5 * 10/7

Answer:

C) 3/5 x 10/7

Step-by-step explanation:

Which statement(s) describe parallel lines? Choose ALL that apply.


A. Parallel lines never cross or meet.

B. Parallel lines create a 90 degree angle.

C. Parallel lines intersect.

Answers

Parallel lines never cross or meet

Definetily its A) Parallel linea never cross or meet.

Cole learned that newly-minted
coins are put into bags. The
mint puts 2,000 half-dollar
coins into 1 bag. What is the
value of 11 bags?

Answers

Answer:

11000 dollars.

Step-by-step explanation:

Interesting question.

1 bag has 2000 half dollars in it.

2000 half dollar coins have a value of 2000 * 1/2 = 1000 dollars.

11 bags = 1000 * 11 = 11000 dolars.

what is the factored form of 3/4(24x + 28) - (4x - 1)? ​

Answers

Answer:

2(7x + 11)

Step-by-step explanation:

3/4  ( 24x + 28) - (4x - 1) = 18x + 21 - 4x + 1 = 14x + 22 = 2(7x + 11)

Answer:

2(7x + 11)

Step-by-step explanation:

3/4 (24x + 28) - (4x - 1)

= 18x + 21 - 4x + 1

= 14x + 22

= 2(7x + 11)

Please give me brianliest and follow me if you want me to help you always

ratio 11 to 6 in perimeter

Answers

Answer: the answer will be 6/4

Step-by-step explanation:

Write log7(2 ⋅ 6) + log73 as a single log. Log Subscript 7 Baseline 11 Log Subscript 7 Baseline 15 Log Subscript 7 Baseline 36

Answers

Answer:

C. log7 36....................................

The given logarithmic expressions together can be written as log₇ 36

What is a logarithmic function ?

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

= log₇(2 x 6) + log₇3

= log₇ 36

We have the result

log A + log B =  log AB

Here the question is log₇(2 x 6) + log₇3.

Using the property of logarithm we will get,

= log₇(2 x 6) + log₇3

= log₇(2 x 6 x 3)  

= log₇ 36

So,   log₇(2 x 6) + log₇3 = log₇ 36

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Which of the following best describes the equation below? y = 5x2 - 7 A. neither linear nor nonlinear B. linear C. both linear and nonlinear D. nonlinear

Answers

Answer:

D

Step-by-step explanation:

the answer is

Nonlinear

Evan is going to invest in an account paying an interest rate of 6.1% compounded
continuously. How much would Evan need to invest, to the nearest ten dollars, for
the value of the account to reach $7,800 in 14 years?

Answers

Answer:3320

Step-by-step explanation:

Can someone please help me and explain

Answers

(2x-3)+(6x+7)= 180
(2x•6x)+(-3+7)= 180
(12x)+(4) = 180
12x= 180-4
x= 176/12
x= 14.67

please help i dont know 7th grade math cry

Answers

Vertical angles are always equal, so you can set them equal to each other.

3x + 8 = 35

3x = 27

x = 9

Answer:

so.. this means that they're equal...

so.. 8 + x = 35

u need to solve for x...

so u do, 35 - 8 = 27

so it would be..

and 27 divide 3 = 9

so x = 9

so the equation would be...

(3 x 9 + 8) = 35

SO, the answer is 9

Step-by-step explanation:

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7) A coat is selling for 3/4 of the original price. The sale price is $180. Write and solve
an equation to determine what the original price of the jacket is.

Answers

Answer:

$240

Step-by-step explanation:

Original price: p

discount 25% (multiplier: 0.75)

sale price: $180

p x 0.75 = 180

p = 180/0.75

p = 240

Is 4x+1=f(x) a quadratic function?

Answers

Answer: no

Step-by-step explanation:

the x has to be squared to form a parabola with a vertex and 2 x intercepts

HELP! 6th grade work due today pleaseeeeee

Answers

Answer:

s = 5 feet

Step-by-step explanation:

.................

Find the sum:
15.07 +22.8
a. 37.01
b. 37.1
c.37.87
d. 37.78

Answers

The answer is : C. 37.87

An employee earned $10.00 per hour and then received a raise that paid
him $12.50 per hour. What is the percent change in the amount of money
he makes per hour. ?

Answers

Answer:

25% pay raise

Step-by-step explanation:

12.50-10.00=2.50

2.50/10.00=1/4

1/4=25%

PLZZZZZZZZZZZZ HELPpppppp

Answers

Answer:

2x2-y=1

4-y=1

-y=1-4

-y=-3

y=3

Step-by-step explanation:

Evaluate 3n + 4^2 when n = 2

Answers

Answer:

22

Step-by-step explanation:

3n + 4^2

n = 2

3(2) + 4^2 = 6 + 16 = 22

Someone plz help me I will give brainliest

Answers

Answer:

Step-by-step explanation:

5. 3/4 +3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2

6. 16 x 3 x 1/8 = (48x 1)/8 = 48/8 = 6

7. 500 x 2/5 = 500 x 2 x 1/5 = (1000 x 1)/5 = 1000/5 = 200

Help!!! 30 Points!!!

Answers

Answer:

45,90,135,180,225,270,315,360

Step-by-step explanation:

Answer:

45,90,135,180,225,270,315,360

Step-by-step explanation:

Hope this helps :)

Factor completely by grouping: 6x² + 2x + 9x +3
is

Answers

Answer:

(2x+3)(x+1)

Step-by-step explanation:

6x² + 2x + 9x +3

(6x² + 2x) + (9x +3)

2x (x+1) + 3 (x+1)

(2x+3)(x+1)

Answer:

(3x+1) ( 2x+3)

Step-by-step explanation:

6x² + 2x + 9x +3

Make the groups

6x² + 2x     +   9x +3

Factor 2x out of the first group  and 3 out of the second group

2x( 3x+1)   + 3(3 x+1)

Now factor out the common term inside the parentheses

(3x+1) ( 2x+3)

Now practice solving some problems.


Find the solution of y = –3x – 1 for x = –5.


A.
(–5, –16)


B.
(–16, –5)


C.
(–5, 14)


D.
(14, –5)

Answers

Answer:

The answer is C. (-5, 14)

How do I factor -2y+2y^2-24

Answers

Well this is a quadratic equation so.
First we rearrange it
2y^2-2y-24
2y^2-2y-48
2y^2-8y+6y-24
2y(y-4)+6(y-4)
(2y+6)(y-4)
2(y ^2-13) is it factored

Ques

The set of values (63, 64, 65, 66} represents solutions of which inequality?

Answers

Answer: 63 < N ≤ 66

Step-by-step explanation:

We have the set:

(66, 64, 65, 66]

First.

When we have an end with the signs "(" or ")" means that the element near the sign does not belong to the set, this would be an "open" end. Usually used for the symbols > and <

While the sign "[" or "]" (in some cases the symbols { and } are used instead)

means that the value next to it are included in the set. Usually used for the symbols ≤ and ≥.

Then in the set: (63, 64, 65, 66} the value 63 does not actually belong, and value 66 does belong.

Then this set is written as:

63 < N ≤ 66

Such that N is an integer number.

Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?

helppp

Answers

Answer:

we simply do  -   55,000*105/100

Which is 55,000*1.05

And that is 57750

So his new salary is $57750

Thanks and mark me brainliest becuz i have good answer :)

What is the slope of the line?
y + 2 = -2 ( x - 3 )
A: -1/2
B: -2
C: 1
D: -1

Answers

D:) o b what ? you very whell

Step-by-step explanation:

A b. d. c

Answer:

The answer is -2

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

What is 0.3709 rounded to 2 decimal places?

Answers

Answer:

If its to the left the answer is 1 and if its to the right the answer is 10 i think

Step-by-step explanation:

sorry if its wrong

In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.

Answers

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

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