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3 years ago

If z is a standard normal variable, find the probability.

Mathematics

1 answer:

Rasek [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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Solve this system of linear inequalities ( will give brainiest)

lakkis [162]

From the graphs you can see that the graph of the line $y= \frac{1}{3} x-3$ lies under the graph of the line $y= \frac{1}{3} x-1$ . Then all solutions of unequality $y\le \frac{1}{3} x-3$ are solutions of unequality $y\le \frac{1}{3} x-1$ , but not all solutions of unequality $y\le \frac{1}{3} x-1$ are solutions of unequality $y\le \frac{1}{3} x-3$ .
For example, if x=1, y=-2
$-2\le \frac{1}{3} \cdot 1-1 =- \frac{2}{3} \\ -2\ \textgreater \ \frac{1}{3} \cdot 1-3=- \frac{8}{3}$ .
Answer: Correct choice is B.

3 0

4 years ago

Consider estimating a population proportion p. What is the most conservative sample size (erring on the large size) required in

just olya [345]

Answer:

The most conservative sample size is 2401.

Step-by-step explanation:

We are given the following in the question:

We are not given any approximation of s]ample proportion, thus,

$\hat{p} = 0.5$

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

$z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.5(1-0.5)}}{0.02}\\\\\sqrt{n}=49\\n = 2401$

Thus, the most conservative sample size is 2401.

3 0

3 years ago

The sales team at an electronics store sold 48 computers last month. The manager at the store wants to encourage the sales team

Ivahew [28]

Answer: a. 14 Computers

b. 62 Computers

Step-by-step explanation:

a) What is the amount of increase in computers needed?

Number of Computers sold last month = 48

Percentage increase required = 30%

Amount of increase in computers needed= 30% × 48

= 0.3 × 48

= 14.4

= 14 approximately

b)What is the new amount of computers the team must sell?

This will be the amount of Computers sold last month plus the increase.

= 48 + 14

= 62 Computers

5 0

4 years ago

Answerrr pleaseeee hellppp

yanalaym [24]

30 hours. Just multiply 10 by 15 to get 150 and then 2 times 15 is 30.

6 0

3 years ago

Read 2 more answers

Which of the following equations shows how substitution can be used to solve

maxonik [38]

Answer: Choice B)

2x+5(2x+3) = 3

============================================

Reasoning:

We start with the second equation 2x+5y = 3

Since y = 2x+3 from the first equation, we can replace every copy of y with (2x+3). This replacement is valid because y and 2x+3 are the same.

So that's how we go from 2x+5y = 3 to 2x+5(2x+3) = 3

This replacement is done to get rid of the y variable, and it allows us to solve for x later on.

3 0

3 years ago