3 years ago

PLEASE ANSWER PICTURE SHOWN

Mathematics

1 answer:

bonufazy [111]3 years ago

5 0

The sum of the angles of a triangle is equal to 180°.

x+65+79 = 180

x = 180 - 65 - 79

x = 36°

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The length of a rectangle is 3 yd longer than its width if the perimeter is 42 yd find the area

pogonyaev

14 yd

$42 \div 3$

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3 years ago

The mean per capita income is 15,451 dollars per annum with a variance of 298,116. What is the probability that the sample mean

docker41 [41]

Answer: 0.5467

Step-by-step explanation:

Let X be the random variable that represents the income (in dollars) of a randomly selected person.

Given : $\mu=15451$

$\sigma^2=298116\\\\\Rightarrow\ \sigma=\sqrt{298116}=546$

Sample size : n=350

z-score : $\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

To find the probability that the sample mean would differ from the true mean by less than 22 dollars, the interval will be

$\mu-22,\ \mu+22\\\\=15,451 -22,\ 15,451 +22\\\\=15429,\ 15473$

For x=15429

$z=\dfrac{15429-15451}{\dfrac{546}{\sqrt{350}}}\approx-0.75$

For x=15473

$z=\dfrac{15473-15451}{\dfrac{546}{\sqrt{350}}}\approx0.75$

The required probability :-

$P(15429$

Hence, the required probability is 0.5467.

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3 years ago

A washer and a dryer cost $917 combined. The washer costs $67 more than the dryer. What is the cost of the dryer?

mart [117]

917 - 67 = 850 (subtract the difference)
850 / 2 = 425 (divide the cost of the washer/dryer)
425 + 67 = 492 (add the difference)
The dryer costs $492.

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3 years ago

Who consumes a number of calories closest to the standered

MAVERICK [17]

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2 years ago

A real estate agent receives 5% commission on the first $250, 000 of a house selling price. He gets 7% of the remaining amount.

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Answer:

the answer is 24,600

Step-by-step explanation:

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2 years ago