Write the quadratic function in vertex form. y = x2

tatuchka [14]

The median is a halfway point in the set of data.

List the numbers in order from smallest to largest:

111, 129, 144, 149, 152, 162, 166, 171

Because there are an even number of values in the data set, find the two middle numbers, add them together and then divide by 2:

Median = ( 149 + 152 ) /2

Median = 150.5

4 0

4 years ago

Given a sample size n, how will the distribution of the sample mean behave?

Keith_Richards [23]

Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.

Explanation:
1. As n increases, the sample mean approaches the population mean
(The Law of Large numbers)
2. The standard error of the sample is
σ/√n
where σ = population standard deviation.
As n increases, the standard error decreases, which means that the error
between the sample and population means decreases.

5 0

3 years ago

What are the solutions to the quadratic equation -2x^2 + 6x + 3 = 0?

mario62 [17]

For this, we will be using the quadratic formula, which is $x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$ , with a=x^2 coefficient, b=x coefficient, and c = constant. Our equation will look like this: $x=\frac{-6+/-\sqrt{6^2-4*(-2)*3}}{2*(-2)}$

Firstly, solve the multiplications and the exponents: $x=\frac{-6+/-\sqrt{36+24}}{-4}$

Next, do the addition: $x=\frac{-6+/-\sqrt{60}}{-4}$

Next, your equation will be split into two: $x=\frac{-6+\sqrt{60}}{-4},\frac{-6-\sqrt{60}}{-4}$ . Solve them separately, and your answer will be $x=-0.436,3.436$

5 0

4 years ago

Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. he converts his speed into miles per hour, as shown below.

oksano4ka [1.4K]

The correct question is
Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
Which ratio is incorrectly written to convert his speed?

the picture in the attached figure

we know that
The term (5280 ft/1 mi) is incorrect
"Feet" needs to be on the bottom to cancel with the previous term.
"Mile" needs to be on top in the numerator so that the answer can be expressed in "miles per hour"

the correct term is (1 mi/5280 ft)

5 0

3 years ago

I need help from number 3 plzzzz ASAP

USPshnik [31]

Answer:2.18 m

Step-by-step explanation:

When you draw it it forms a right angled triangle. In order to get the height we must use sine.

The sine of 27° is the height divided by 4.8 m

5 0

3 years ago

Read 2 more answers

Write the quadratic function in vertex form. y = x2 - 16x + 57