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Vladimir [108]
2 years ago
12

Help me now I want pictures of how you did it on paper!

Mathematics
1 answer:
Law Incorporation [45]2 years ago
5 0

The value of y is 110 degrees. Since the two lines are parallel, hence x is equivalent to 70 according to alternate theorem rule.

<h3>Line Geometry</h3>

The given line geometry is made up of lines and an isosceles triangle. The triangle has equal base angles

Determine the value of y

70 + y = 180 (supplementary)

y = 180 - 70

y = 110 degrees

Since the two lines are parallel, hence x is equivalent to 70 according to alternate theorem rule.

Learn more on line geometry here: brainly.com/question/1655368

#SPJ1

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2 years ago
The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.
Rainbow [258]

Answer:

(a) 0.2061

(b) 0.2514

(c) 0

Step-by-step explanation:

Let <em>X</em> denote the heights of women in the USA.

It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

8 0
3 years ago
A new museum had 7500 vistiors this year.the number of visitors is expected to grow by 5% each year. How many vistiors will be i
Bumek [7]

Answer:

9572 visitors

Step-by-step explanation:

This is exponential: y=aby=ab^x

a = initial value

b = growth rate

It will grow by 5% each year but also keep the same amount as last year (100% of last year's visitors)

a = 7500

b = 1.05

y = 7500(1.05)^x

Plug in x=5

9572.111719 = 9572 visitors

8 0
3 years ago
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