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vesna_86 [32]
3 years ago
11

The length of a rectangular floor is 2 feet more than the width. The area of the floor is 168 square feet. Kim wants to use a ru

g in the middle of the room leave a 2 foot border of the floor visible on all sides. What should the width of the rug be?
Mathematics
1 answer:
defon3 years ago
4 0
The area of the rectangular is expressed in the formula A = l*w where l is the length and w is the width. from the first satement, l = 2  + w; then A = (2+w)*w = 2w + w^2. If A is equal to 168, then w should be equal to 12 feet and l is equal to 14 feet. Hence the width due to the border limits is 12- 2*2 equal to 8 feet
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Answer:

900

Step-by-step explanation:

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3 years ago
A bank sampled its customers to determine the proportion of customers who use their debit card at least once each month. A sampl
Zinaida [17]

Answer:

(0.084,0.396)

Step-by-step explanation:

The 99% confidence interval for the proportion of customers who use debit card monthly can be constructed as

p-z_{\frac{\alpha }{2}} \sqrt{\frac{pq}{n} }

p=\frac{x}{n}

p=\frac{12}{50}

p=0.24

q=1-p=1-0.24=0.76

\frac{\alpha }{2} =\frac{\0.01 }{2}=0.005

p-z_{\frac{\alpha }{2}} \sqrt{\frac{pq}{n} }

0.24-z_{0.005} \sqrt{\frac{0.24*0.76}{50} }

0.24-2.58(0.0604)

0.24-0.155832

By rounding to three decimal places we get,

0.084

The 99% confidence interval for the proportion of customers who use debit card monthly is (0.084,0.396).

3 0
3 years ago
Can someone please help me out? It would really make me happier if you did.
asambeis [7]

Answer:

B) 8 and 24.

Step-by-step explanation:

Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.

Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.

Their difference is 16. Hence:

a-b=16

The first number is three times the second number. So:

a=3b

Substitute:

3b-b=16

Solve for <em>b</em>. Subtract:

2b=16

And divide both sides by two:

b=8

So, the second number is 8.

And since the first number is three times the second, the first number is 24.

Our answer is B as expected.

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3 years ago
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The slope-intercept form for a line with the coordinates of (25,590) and (44,830) is:

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(results are in decimal form, rounded to the nearest 100th)

For Example: y=12.63(125)+274.21

y=1,852.96

8 0
3 years ago
Whoever puts there answer first get brainlest
Anvisha [2.4K]

Answer:

\large Q1:\ x=18\ ft\\\\Q2:\ 6\ inches

Step-by-step explanation:

Q3.

If ΔGHI and ΔJKL are similar, then the sides are in proportion:

\dfrac{JL}{GI}=\dfrac{LK}{IH}

We have

JL = x, GI = 9 ft, LK = 24 ft, IH = 12 ft.

Substitute:

\dfrac{x}{9}=\dfrac{24}{12}

\dfrac{x}{9}=2         <em> multiply both sides by 2</em>

x=18\ ft

Q4.

We must multiply the original length by a scale factor of 3/4:

\dfrac{3}{4}\cdot8\ in=\dfrac{3}{1}\cdot2\ in=(3)(2)\ in=6\ in

7 0
3 years ago
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