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3 years ago

PLEASE HELP THIS IS PYTHAGOREAN THEORM 3D

Mathematics

1 answer:

andreev551 [17]3 years ago

7 0

Answer:

The height is 6.3

Step-by-step explanation:

Pythagorean Theorm: a² + b² = c²

5² + b² = 8²

25 + b² = 64

b² = 39

b = 6.2449979984

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A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

4 years ago

Which system of equation should you use to solve this problem

Alex17521 [72]

Last option is the correct answer.

Step-by-step explanation:

Given that

Let x stand for the solution a and y stand for the solution B

So,

According to statement that

30 gallons have to be made

$x+y=30$

Solution A contains 29 percent bromine => 0.29x

Solution B contains 53 percent =>0.53y

And the mixture of 30 gallons contains 45% bromine

$0.29x+0.53y=30*0.45\\0.29x+0.53y=13.5$

Following equations will be used for solving the problem

$x+y = 30\\0.29x+0.53y=13.5$

Hence,

Last option is the correct answer.

Keywords: Equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago

Find the slope of the graph of the relation y^3 − xy = −6 at the point (7, 2).

mezya [45]

Yay, implicit differnentiation

when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx

for x, the dy/dx dissapears

ok
so differnetiate and solve for dy/dx

3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)

so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5

answer is 2/5

5 0

4 years ago

Select the equation that most accurately depicts the word problem.

stiv31 [10]

One half of a certain number is 95 is depicted by <span>1/2 · n = 95</span>

3 0

3 years ago

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In the equation y = 4 x, if the value of x is increased by 2, what is the effect on the value of y ?

oksian1 [2.3K]