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Mekhanik [1.2K]
3 years ago
13

Solve the problem by entering and solving an equation.

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.

To Find : The width of the frame .

Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;

\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}

Where , l is the length of the rectangle and b is the breadth of the rectangle .

⇒ Perimeter = 2 ( l + b ) .

⇒ 52 in. = 2 ( 12 + x ) in.

⇒ 52 in.= 24in. + 2x .

⇒ 2x =( 52 - 24 ) in

⇒ 2x = 28 in.

⇒ x = 28/2 in.

⇒ x = 14 in.

<u>Henc</u><u>e</u><u> the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>recta</u><u>ngle</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u> </u><u>inches</u><u>.</u>

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3 years ago
the water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
marin [14]

To determine the average water use, 109 people must be sampled.

1.9 gallons is the standard deviation.

E = 0.15 gallons maximum error

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sample size requirement,

n = (((z ÷ 2) × σ) ÷ E)²

n = (((1.645 ÷ 2) × 1.9) ÷ 0.15)²

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n = (10.418)²

n = 108.53 ≈ 109

As a result, the minimal sample size necessary to determine the mean water use = 109.

It is determined by dividing the average standard error by the squared of the sample size, and it decreases with increasing sample size. In other words, when the sample size is sufficiently big, the population mean approaches the population mean.

To learn more about the sample interval at

brainly.com/question/13664567?referrer=searchResults

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8 0
1 year ago
During summer vacation, Erin read, on average, 4 pages per night. Once she returned to school, she averaged 3 pages per night. W
alexandr1967 [171]

Answer:

25% decrease.

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6 0
3 years ago
In the figure, the horizontal lines are parallel and AB = BC = CD. If LM = 3 Find JM? A. 12 B. 6 C. 3 D. 9
ziro4ka [17]
 A.12 because i had same question
 
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5 0
3 years ago
PLZ help me with this question
olga2289 [7]

Answer:

3

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