-175+5a+8a-10b+2c simplify Please help

Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of

IRINA_888 [86]

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if n = 100.

(2) A Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable X following a Binomial distribution with parameters n and p.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

np ≥ 10
n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided n as follows:

$n_{a}p_{1}=10\times 0.10=1$

Thus, a Normal approximation to binomial can be applied for population 1, if n = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided n as follows:

$n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6$

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided n as follows:

$n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10$

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

8 0

3 years ago

Find x - y subtracted from 0 A) -x+y B) -y-x C) x-y

sleet_krkn [62]

First we write the statement step by step to find the correct equation.
We have then:
x - y
subtracted from 0
(0) - (x-y)
Resolving:
(0) - (x-y) = - x + y
You should notice that different signs are subtracted and equal signs are added.
Answer:
A) -x + y

3 0

3 years ago

For which values of x is the expression undefined? x2 – 49 x2 – 16

Lyrx [107]

You meant to say x^2 - 49 and the second binomial is x^2 - 16.

x^2 - 49 = (x - 7) (x + 7).

Set each factor to 0 and solve for x individually.

x - 7 = 0

x = 7

x + 7 = 0

x = -7

Do the same for x^2 - 16.

Here is the set up:

x^2 - 16 = (x - 4) (x + 4).

Take it from here.

4 0

3 years ago

What are the values of x and y?

Sergeeva-Olga [200]

Answer:

x=y=61°

Step-by-step explanation:

x=61°(being the pair of vertically opposite angle)

and,

y=61°(being the pair of corresponding angle)

so, x=y=61°

7 0

4 years ago

The track team needs new uniforms. The students plan to sell plush toy bears (the school mascot) for $5 each. The students fi

Bond [772]

Answer:

Company C

Step-by-step explanation:

To find the cost of each bear, you must divide each price by the amount of bears. The prices are shown below:

For company A, each bear costs $2.87.

For company B, each bear costs $2.89.

For company C, each bear costs $2.85.

So, the best buy for the team would be Company C.

Hope this was helpful!

7 0

2 years ago