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erastovalidia [21]
3 years ago
8

Write the equation of the quadratic function shown in the graph.

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

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In a manufacturing process, we are interested in measuring the average length of a certain type of bolt. Past data indicate that
Goryan [66]

Answer:

We need a sample size of 600 or higher in order to make us 95 percent confident that the sample mean bolt length is within .02 inches of the true mean bolt length

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{1-0.95}{2} = 0.025

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 1-0.025 = 0.975, so z = 1.96

Now, we find the margin of error 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.

How many bolts should be sampled in order to make us 95 percent confident that the sample mean bolt length is within .02 inches of the true mean bolt length?

We need a sample size of n or higher, when M = 0.02, \sigma = 0.25. So

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

0.02 = 1.96*\frac{0.25}{\sqrt{n}}

0.02\sqrt{n} = 0.49

\sqrt{n} = \frac{0.49}{0.02}

\sqrt{n} = 24.5

\sqrt{n}^{2} = (24.5)^{2}

n = 600

We need a sample size of 600 or higher in order to make us 95 percent confident that the sample mean bolt length is within .02 inches of the true mean bolt length

4 0
3 years ago
what is the slope of the line that passes through the point -4 -3 and 14 0 right your answer in the simplest form
Kazeer [188]

Answer:

1/6

Step-by-step explanation:

m = y2-y1/x2-x1

m = 0-(-3)/14-(-4)

m = 0+3/14+4

m= 3/18

m = 1/6

Therefore, the slope of the line is 1/6.

8 0
3 years ago
Read 2 more answers
How do I rewrite the linear expression by factoring out the coefficient of the variable
BlackZzzverrR [31]

so your example can work as -1(x+10), factoring out coefficients usually pertains to finding the highest number (and variable) that an equation can be multiplied by, note that a variable can work the same 2x^2(x+2) is the same as 2x^3+4x^2

3 0
3 years ago
Express the following relation as a graph: {(7,4), (9,8), (2,7), (10,0)}.
Vikentia [17]

Answer:

[In Picture]

Step-by-step explanation:

The relation is a function since there is one value of y for every value of x.

I hope you mean this...

5 0
3 years ago
Un número real no puede pertenecer a los racionales y a los irracionales a la vez?​
Galina-37 [17]

Step-by-step explanation:

eso es cierto y correcto por supuesto, es tan obvio

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3 years ago
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