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RSB [31]
3 years ago
11

the width of a rectangle is half its length. the perimeter is 36 inches. whar are the dimensions of the rectangle

Mathematics
1 answer:
Goryan [66]3 years ago
4 0
Width of a rectangle is half its length:
2w = l
Perimeter is 36
2w + 2l = 36

Plug first equation into second (substitution)

2w + 2(2w) = 36
2w + 4w = 36
6w = 36
w = 6

Plug back into first equation to solve for l

2(6) = 12 = l
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Amani purchased a prepaid phone card for $15. Long distance calls cost 19 cents a minute using this card. Amani used her card on
Iteru [2.4K]

Subtract the balance from the original amount:

15 - 12.34 = 2.66

Now divide the amount spent by price per minute:

2.66 / 0.19 = 14

The call lasted 14 minutes.

7 0
4 years ago
Out of a sample 650 high school students, 321 take the bus to school every day. construct a 99% confidence interval for the popu
gtnhenbr [62]

A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)

We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday

A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.

The confidence interval of proportions is given by:

π ± z √(π (1-π) /n)

π is the sample proportion.

z is the critical value.

n is the sample size.

For 99% confidence interval the value of z is 2.58

π = 321/650

The confidence interval is given by

=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)

= (0.493846 ± 0.050594)

=(0.4434 , 0.5443)

=(44.34 % , 54.43 %)

Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)

<u>Learn more about confidence interval:</u>

brainly.com/question/28052710

# SPJ4

8 0
2 years ago
AC = 12 in the image shown. Is BC tangent to circle A?
Elenna [48]
A) No, because 62 + 9 = 122
6 0
3 years ago
The highest mountain in the world is Mount Everest, which has a peak of 29,028 ft above sea level. The deepest point in the Atla
podryga [215]

Answer:

59274 ft ( the difference between the 2 points)

Step-by-step explanation:

Mount Everest peak = 29,028 ft above sea level ↑

Atlantic Ocean  depth=  30,246 ft below sea level↓

as one is going above the level and one is going below (both in the opposite direction) from that level so in order to find the difference we will add both

29,028 +30,246 ft  =  59274 ft ( the difference between the 2 points)

7 0
3 years ago
Read 2 more answers
How do I do the work?
Aliun [14]
For the first one. distribute and multiply the b to the other b. the -4 to the b and the -2 and the -4 to the to. it’s really easy just distribute each variable to every value
7 0
3 years ago
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