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3 years ago

6

I’m really stuck on this. Would someone please help?

1 answer:

zavuch27 [327]3 years ago

7 0

Since MN forms a 180 degree angle, if you subtract 148.7 from 180, you get 31.3 degrees. This means angles L and N are both 31.3 degrees. Since the parallelogram is 360 degrees total, you subtract 62.6 to account for angles L and N. The remaining degrees unaccounted for are 297.4 degrees which you then divide by two to get the value of angles O and M, which would give you 148.7 degrees for each O and M. This means that angle x is 148.7 degrees

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In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability

Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by $P(Z>\frac{(25-27)}{3.29})$

What is the probability of success of a single trial of this experiment?

Options:

0.07
0.56
0.79
0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

$\mu =\frac{np}{\sigma}$ = $\sqrt{np(1-p)}$

now,

$Z=\frac{X-\mu}{\sigma}$

so,

by comparing with $P(Z>\frac{(25-27)}{3.29})$ , we get:

μ=np=27

$\sigma=\sqrt{np(1-p)}$ =3.29

put np=27

we get:

$\sigma=\sqrt{27(1-p)}$ =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0

3 years ago

Ms. Alders has $50 to buy prizes for the treasure box in her classroom. She bought 12 packages of stickers, 8 boxes of pencils,

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2 years ago

An electronic system has each of two different types of components in joint operation. Let X and Y denote the lengths of life, i

AURORKA [14]

Answer:

a

The average cost is $E(C) = 66$

b

The standard deviation of cost is $\sigma = 9.798$

Step-by-step explanation:

From the question we are told that

$E(X) = 4$

$E(Y) = 2$

$E(X^2) = 24$

$E(Y^2) = 8$

The cost of replacing the two component is C = 50 + 2 X + 4 Y

The variance of X is mathematically represented as

V(X) = $E(X^2) - [E(X)]^2$

Substituting values

$V[X] = 24 - 4^2$

$V[X] =8$

The variance of Y is mathematically represented as

V(Y) = $E(Y^2) - [E(Y)]^2$

Substituting values

$V[Y] = 8 - 2^2$

$V[X] =4$

The average of replacing the two component is

$E(C) = 2 * E(X) + 4* E(Y)$

substituting value

$E(C) = 50 + 2 * (4) + 4* (2)$

$E(C) = 66$

The variance of replacing the two component is

$V(C) = V(50 + 2X +4Y)$ Note: The variance of constant is zero

and X and Y are independent

=> $V(C) = 2^2 * V(X) + 4^2 * V(Y)$

substituting values

=> $V(C) = 4 * 8 + 16 * 4$

=> $V(C) = 32 + 64$

=> $V(C) = 96$

The standard deviation is

$\sigma = \sqrt{V(C)}$

substituting values

$\sigma = \sqrt{96}$

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