Find the product of -9 and -3.

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

Plss help me and explaim too

masya89 [10]

Answer:

a = b = 1

Step-by-step explanation:

The triangles are similar thus ratios of corresponding sides are equal, that is

$\frac{10}{2}$ = $\frac{5}{b}$ ( cross- multiply )

10b = 10 ( divide both sides by 10 )

b = 1

and

$\frac{10}{2}$ = $\frac{5}{a}$ ( cross- multiply )

10a = 10 ( divide both sides by 10 )

a = 1

Thus a = 1 and b = 1

3 0

3 years ago

Three times the sum of a number and seven is 23 less than five times the number find the number wrong your answer to the nearest

mote1985 [20]

so you have your two equations 3x+7=5x-23 and solve for x which is your "number" leaving the answer to be x=15

4 0

3 years ago

Write the equation of the line passing through points ( -2,-5) and (1,1)

Dennis_Churaev [7]

Answer:

The equation of the line is:

$y=2x-1$

Step-by-step explanation:

Given the points

(-2, -5)

(1, 1)

Finding the slope between the points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)$

$m=\frac{1-\left(-5\right)}{1-\left(-2\right)}$

$m=2$

We know the slope-intercept form of the line equation

$y=mx+b$

where m is the slope and b is the slope-intercept form

substituting the value m=2 and the point (-2, -5) to find the b-intercept

$y=mx+b$

-5 = 2(-2) + b

b = -5+4

b = -1

Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line

y=mx+b

y=2x+(-1)

y=2x-1

Thus, the equation of the line is:

$y=2x-1$

8 0

2 years ago

Dibble purchased some hoots for $2 each and sole alabers for $6 each. total cost was about $24 altogether, she purchased 10 item

Sati [7]

2x+6y=24
Explanation: $2 each meaning it’s 2 times x because we don’t know how many hoots and $6 each meaning it’s also 6 times y and then $24 is our total meaning =24 so your answer is 2x+6y=24

5 0

3 years ago