A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 "big" customers randomly selected, 160 claimed to also bank elsewhere. Of the 300 "small" customers randomly selected, 120 claimed to also bank with other banks. Check the conditions for constructing a confidence interval for the difference in proportions.

Knowing how to recognize congruent lines, we have Angles A&H are congruent.

Two line segments are collinear if they lie on a line. Two line segments are congruent when they have equal measures.

Parallel lines are lines in a plane that are always the same distance from each other. Parallel lines never intersect, while perpendicular lines are those that intersect at a right angle (90 degrees).

In this way, we can identify that the only lines that represent a congruent line are lines A and H.

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"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."

YXZ and TUS

Answer:

2 one

Step-by-step explanation:

Answer:

C) x = 3.7

Step-by-step explanation:

sin 41° = x/5.6

0.6561 = x/5.6

x = 3.7

Answer:

Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Step-by-step explanation:

H0 : σ² = 2.66²

H1 : σ² < 2.66²

X²c = (n - 1)*s² ÷ σ²

sample size, n = 40

Sample standard deviation, s = 1.9

X²c = ((40 - 1) * 1.9²) ÷ 2.66²

X²c = 140.79 ÷ 7.0756

X²c = 19.897

Using a confidence level of 95%

Degree of freedom, df = n - 1 ; df = 40 - 1 = 39

The critical value using the chi distribution table is 25.6954

Comparing the test statistic with the critical value :

19.897 < 25.6954

Test statistic < Critical value ; Reject the Null

Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Answer: A

Step-by-step explanation:

The answer is letter A..

The length of the third side is 12 units

From the question, we have the following parameters that can be used in our computation:

A right triangle

This means that we can calculate the third length using the Pythagoras theorem

using the above as a guide, we have the following:

x = √(15² - 9²)

Evaluate the exression

x = 12

Hence, the third length is 12 units

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Answer:

Sue has traveled 124 miles.

Step-by-step explanation:

Here, the distance covered by Sue is a fraction of the total distance to be covered.

The total distance to her aunt's = 372 miles

but the gas station is at one-third of the distance to be covered.

Thus,

Miles traveled by Sue = [tex]\frac{1}{3}[/tex] x 372

                                    = 124

Miles traveled by Sue = 124 miles.

Therefore Sue has traveled 124 miles.

Answer:

[tex] 105 \: {m}^{3} [/tex]

Step-by-step explanation:

Volume of swimming pool

[tex] = 1 \frac{1}{2} \times 10 \times 7 \\ \\ = 1.5 \times 70 \\ \\ = 105 \: {m}^{3} [/tex]

Answer: The volume is 105 m3.

Step-by-step explanation:

V= l*w*h

V= 10* 1 1/2* 7

V= 105

Answer:

56,161

Step-by-step Thought Process:

Use the equation: [tex]a(1+r)^x[/tex] to solve this problem. Let x= time in years, a= initial amount, and r= growth rate.

[tex]a(1+r)^x[/tex] =  [tex]51368(1+0.018)^5[/tex]

When you solve you get this number:

56,160.57516085

Round to the nearest whole number:

56,161

Answer:

A = a^2 + b^2 = C^2

P = 144 + 25 = C^2

P = 169

square root 169 = 13

Step-by-step explanation:

Answer: The answer is D

The amount of paper needed to cover the rectangular bulletin board is 1,073 square inches. The correct answer is: D. 1,073 in²

To calculate the amount of paper needed to cover a rectangular bulletin board, we need to find the area of the board.

Given:

Width of the bulletin board = 29 inches

Height of the bulletin board = 37 inches

To find the area, we multiply the width by the height:

Area = Width * Height

Area = 29 inches * 37 inches

Area = 1,073 square inches

Therefore, the amount of paper needed to cover the rectangular bulletin board is 1,073 square inches.

The correct answer is:

D. 1,073 in²

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Answer:

$117.25

Step-by-step explanation:

To solve, multiply the interest by the total amount in savings.

You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).

Brenda get $117.25 as interest from her bank.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Brenda learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it.

Brenda had $2,345 in her savings account.

So, the interest Brenda get

= 2345 x 5/ 100

= 2345 x 0.05

= $117.25

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Answer:

d = C - 2/3

Step-by-step explanation:

Subtract 2/3 from both sides of the equation:

C = d + 2/3

-2/3     -2/3

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

C - 2/3 = d

After rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

C=d + 2/3

C - 2/3 = d (subtract both side by 2/3)

or

d = C - 2/3 or

d = (3C-2)/3

Thus, after rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.

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Answer:

the answer is =2187

Step-by-step explanation:

hoped I helped:)

Answer:

9

Step-by-step explanation:

5x - 27 / - 3 = - 6

5x - 27 = - 6 x ( - 3 )

5x - 27 = 18

5x = 18 + 27

5x = 45

x = 45 / 5

x = 9

Answer:

Skewed Right

Step-by-step explanation:

Answer:

$3.30

Explanation:

15/100 = 0.15

22*0.15 = 3.3

Answer:

Hi! The answer to your question is D. [tex]3.30[/tex]

Step-by-step explanation:

[tex]Price = 22[/tex]

[tex]Discount = 0.15[/tex]

[tex]22 * 0.15 = 3.3[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

if the numbers are together

Step-by-step explanation:

63210 is the correct answer friend

hope it helps

Answer:

i think its c

Step-by-step explanation:

[tex]

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<(￣3￣)> the cancel thingy wasn't needed until it's mathematics.

Answer:

[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] \huge\purple{\boxed{\mathfrak{Thanks}}}[/tex]

Answer:

x + 2 y − 9

Step-by-step explanation:

Answer:

x+2y-9

Step-by-step explanation:

[tex]2x+2y-x-(8+1)\\ 2x-x+2y-9\\ x+2y-9[/tex]

Answer:

A.

Hope this helps :D

Answer:

9;11 is answer

Step-by-step explanation:

number of women=100 - 45 = 55

men; women= 45;55

= 45/55

=9/11

=9;11

I believe it is A and C.

There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion.  For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.

I hope this helps!!!

Answer:

14 sides

Step-by-step explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°

[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]

Hence, the polygon has 14 sides.

The hypotenuse = √2 · legs

x = √2 · 5

x = 5√2