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marshall27 [118]
2 years ago
13

Find the vertex. f(x) = x2 + 3

Mathematics
1 answer:
Musya8 [376]2 years ago
4 0

Answer:

(0,3)

Step-by-step explanation:

The parent function's vertex is at (0,0) and this function is being translated 3 units up, so the vertex is at (0,3)

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A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ = 31.62
AysviL [449]

Answer:

A sample size of at least 737 specimens is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the width M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

M = 3, \sigma = 31.62

So:

M = z*\frac{\sigma}{\sqrt{n}}

3 = 2.575*\frac{31.62}{\sqrt{n}}

3\sqrt{n} = 81.4215

\sqrt{n} = 27.1405

n = 736.60

A sample size of at least 737 specimens is required.

6 0
3 years ago
The rectangular prism shown has bases with equal side lengths. a. use the figure to write a formula for the surface area S of th
statuscvo [17]

Answer:

Step-by-step explanation: The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

7 0
3 years ago
BRAINLIEST IF CORRECT!!!
goblinko [34]

Answer:

Multiply a fraction by its reciprocal to show that their product is always 1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find two numbers, if Their sum is 3/5 and their difference is 7 1/5
atroni [7]
Set up a system of equations:

x + y = 0.6
x - y = 7.2

You can solve using elimination. Add the two equations together:

2x + 0y = 7.8
2x = 7.8
x = 3.9

Then plug the number back into either of the two original equations to solve for y:

3.9 + y = 0.6
y = -3.3

The two numbers are 3.9 and -3.3
7 0
3 years ago
Read 2 more answers
1. Mr. Maxwell can write 8 1\5 paragraphs of his novel in an hour. Mr. Maxwell wrote 32 4\5 paragraphs today.
dybincka [34]
A)  (32 4/5) / ( 8 1/5) = how many hours Mr. Maxwell wrote

B)  
(32 4/5 )  /  (8 1/5) = 4 hours 

converting mixed numbers to fractions, the  initial equation becomes,164 / 5  <span>÷ </span>41 / 51<span>
Applying the </span>fractions formula for division,<span><span>=<span><span>164×5  /  5</span><span>×41
</span></span></span></span>
=820/205<span><span><span><span>
</span></span></span></span>
Simplifying 820/205, the answer is<span>=4</span>

3 0
3 years ago
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