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2 years ago

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Mathematics

1 answer:

Alchen [17]2 years ago

4 0

Answer:

THE AXIS OF SYMMETRY IS ALWAYS THE X VALUE OF THE VERTEX

Step-by-step explanation:

The vertex is where the graph performs the u shape bend.

The vertex is always -b/2a. so in problem one, it would be 6/2(3) which is 1. That is the x value so the axis of symmetry would be x=1.

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

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

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

3 years ago

You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?

Mumz [18]

$1 = 3.70 rand

$450 is the same as 450 * $1, so multiply both sides of the conversion equation above by 450.

450 * $1 = 450 * 3.70 rand

$450 = 1665 rand

5 0

3 years ago

Bryan cut two peaches. he cut one into sixths and one into fourths.bryan ate 5sixths of the first peach and his brother ate 3fou

Oduvanchick [21]

Bryan : 5/6 = 20/24
Brother : 3/4 = 18/24
Answer Bryan ate more

4 0

3 years ago

In which quadrant does the point (9, 12) lie?

Rufina [12.5K]

Answer:

it lies in Quadrant 1

Step-by-step explanation:

The points are positive so in the first one

6 0

3 years ago

Read 2 more answers

What is the distance between points A and B? (Use only digits 0-9 to write the distance.)

qwelly [4]

Answer:

Step-by-step explanation:

A is on the negative side so you count the distanse as -6 -5 -4 so on and then you get to 0 and then its 12345678

3 0

3 years ago