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3 years ago

Is this correct? the question is asking if the triangle would have a right, acute, or obtuse angle.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

6 0

Answer:

ut ok points from me so I took it from u

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Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in,and a standard deviation given by

Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with

$\mu$ = 62.5 in

$\sigma$ = 2.2 in

the normal probability density function is given by

$f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}$ , then

(a) $P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx$ = 0.5899

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking $P(\bar{X} < 63)$ where n = 37. $\bar{X}$ is normally distributed with mean 62.5 in and standard deviation $2.2/\sqrt{37}$ . So, the probability density function is given by

$g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}$ , and

$P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx$ = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0

3 years ago

Please help me with this problem

ziro4ka [17]

Answer:

dnsjsjdkdksldnd xidjdbdksksjdkdnjddj

5 0

3 years ago

What is the LCM of 7 and 13

lutik1710 [3]

Answer:

91 .

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Glad I could help!!

3 0

3 years ago

Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm

Charra [1.4K]

Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

$Volume = (4/3) * \pi * radius^3$

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

$Volume = (4/3) * \pi * 7^3$

$Volume = 1436.75\ in^3$

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

$Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes$

Tyler should buy 2 goldfishes for his fish tank,

3 0

3 years ago

Read 2 more answers

How do you solve 5p+2=4p-1

Grace [21]

5p+2=4p-1
1p+2=-1
1p=-3
p=-3

6 0

3 years ago

Read 2 more answers