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SVEN [57.7K]
1 year ago
11

Kelly is 5'4" tall. She measured her shadow one morning to be 8'7". She then measured the shadow of her house. The house shadow

was 42'3". How tall is the
actual house? (inches rounded to the hundredths.)
Mathematics
1 answer:
olchik [2.2K]1 year ago
6 0

The height of the actual house is 26'.26" .

<h3>How to find the height of the house using ratio?</h3>

A ratio indicates how many times one number contains another.

Therefore, the heights will form a similar length. Therefore, the corresponding length have the same ratios.

Therefore,

height of Kelly / x = height of Kelly shadows / height of house shadow

Hence,

where

x = actual height of the house

5.4 / x = 8.7 / 42.3

cross multiply

42.3 × 5.4 = 8.7x

Therefore,

228.42 = 8.7x

divide both sides by 8.7

228.42 / 8.7 = 8.7x / 8.7

x = 26.2551724138

Therefore, the height of the actual house is 26'.26"

learn more on ratio here: brainly.com/question/20849502

#SPJ1

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A newspaper found that, on average, 7.6% of people stay overnight in the hospital with a 1.5% margin of error. Construct a 95% c
Verizon [17]

Given:

p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.

E = 1.5% = 0.015, margin of error

95% confidence interval.

The standard error is

Es = \sqrt{ \frac{p(1-p)}{n} }

where

n = the sample size.


The margin of error is

E=z^{*}E_{s}

where

z* = 1.96 at the 95% confidence level.

Because the margin of error is given, there is no need to calculate it.

The 95% confidence interval is

p +/- E = 0.076 +/- 0.015 = (0.061, 0.091) = (6.1%, 9.1%)


Answer: 

The 95% confidence interval is between 6.1% and 9.1%.






3 0
3 years ago
Alejandro needs to buy bird seed from the local pet store for his parrots. A
Gnesinka [82]

First take note he only has $20 and the bag he must buy is $12.55. Also the loose seeds are $1.49 per pound.

To solve subtract 12.55 from 20

20-12.55=7.45

So after buying the 10 lb bag he has $7.45 left now divide that by 1.49

7.45/1.49=5

So after buying the 10 lb bag he can also buy 5 lb of the loose seeds!


7 0
2 years ago
Select the correct answer.
Butoxors [25]

Answer:

Hello there the Correct answer The only answer choice that produces -2x²+2 is D.

Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2

answer: D

Hope It Helps!

5 0
3 years ago
Carly beat the school record for the 400 meter run by 1.3 seconds. if she ran the race in 55.7 seconds, what was the record
sp2606 [1]
If Carly broke the record by 1.3 seconds and Carly's time was 55.7 the old record would be Carly's time plus 1.3 seconds for the time that Carly broke the record by, so... 57 seconds was the old record
3 0
3 years ago
Help me<br> Thanks if you answered
JulsSmile [24]

Answer:

number 21: 5 ten thousands, 7 hundreds, <em><u>7</u></em><em><u> </u></em>tens and 7 ones

Step-by-step explanation:

7 tens = 70

7 ones = 7

which equals 77, if the number is 50,777, you can see the last two digits in the tens and ones place are 7 and 7.

4 0
3 years ago
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