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3 years ago

How do I find x and y using what is in the equation

Mathematics

1 answer:

Tatiana [17]3 years ago

5 0

y is part of a right angle on line AB

a right angle = 90 degrees

90-47 = 43 degrees

y = 43 degrees

a straight line = 180 degrees

180-47 = 133 degrees

x = 133 degrees

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Levart [38]

The correct answer is D

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3 years ago

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What is the actual length and width of the living room? Show your work.

alina1380 [7]

20 is the area
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3 years ago

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U

alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0

3 years ago

Eugenia walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph

kondor19780726 [428]

Let us say distance between Eugenia's home and school is x miles.

Speed of Eugenia when she walked from home to school = 3 mph

Speed of Eugenia when she walked from school to home = 7 mph

Total time taken = 45 minutes or 0.75 hours

We know that the speed distance formula is given by:

$speed=\frac{distance}{time}$

$time=\frac{distance}{speed}$

Time taken by Eugenia when she walked from home to school = x/3 hours

Time taken by Eugenia when she walked from school to home = x/7 hours

Total time taken = x/3+x/7

So forming an equation we have,

$\frac{x}{3}+\frac{x}{7}=0.75$

Taking lcd of 7 and 3 as 21,

$\frac{7x}{21}+\frac{3x}{21}=0.75$

$\frac{10x}{21}=0.75$

10x=15.75

Dividing both sides by 10 , we have

x= 1.575

Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.

4 0

3 years ago

Please help thank you

marissa [1.9K]

The absolute value of y is further from 0.

Explanation:
The absolute value of any number is a positive. If the value of y is greater than x, then y would be further. Let’s input a number as an example. Let’s say that the absolute value of y was 9 and the absolute value of x is 4 due to the y value being larger. 4 is closer to 0 compared to 9 so the absolute value of y is further from 0.

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3 years ago