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VARVARA [1.3K]
2 years ago
12

Write the equation the describes the parabola that passes through the point (-8,-21) and has a vertex of (-4,-5), in vertex form

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
7 0

Answer:

d

Step-by-step explanation:

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2 years ago
Which number is NOT in the solution set of the inequality x > −15?
Anettt [7]

Answer: D).-20

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
kramer

Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

n = 64 --- population

\mu = 20 --- population mean

\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

\bar x = 20

So, we have:

\sigma_x = 2

\bar x = 20

x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

From the z table

P(z \le 0.50) = 0.69146

So:

P(x \le 21) = 0.69146

4 0
2 years ago
Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeters. If the scale of the map i
Lapatulllka [165]

The real distance fro the shop to the store is 24 km

<em><u>Solution:</u></em>

Given that, Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeter

Scale of the map is 1 centimeter to 8 kilometers

Therefore, scale is:

1\ centimeter : 8\ kilometer

Let "x" be the real distance from the shop to the store

Then by proportion, we get,

\frac{1\ centimeter}{8\ kilometer} = \frac{3\ centimeter}{x\ kilometer}\\\\\frac{1}{8} = \frac{3}{x}\\\\x = 3 \times 8\\\\x = 24

Thus real distance fro the shop to the store is 24 km

3 0
3 years ago
A computer valued at $6500 depreciates at the rate of 14.3% per year. Find the value of the computer after 3 years
Norma-Jean [14]
After 3 years the computer will be valued at 3711.5. I'm sure you can round it up to 3712.

Hope this helps :)
6 0
3 years ago
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