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Arada [10]
3 years ago
5

Write an equation of a quadratic function that has x-intercepts -1 and 4 and a y-intercept of 3.

Mathematics
1 answer:
igomit [66]3 years ago
5 0
Y=(x+1)(x-4)


this should be correct.

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Find (f + g)(x). f(x) = -3x + 2 g(x) = x3 a. x3- 3x + 2 c. x3 + 3x -2 b. -x3- 3x +2 d. x3 Please select the best answer from the
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(f+g)(x) = -3x +2 + x³
Answer: A
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3 years ago
Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.
Anna007 [38]

Answer:

6

Step-by-step explanation:

to find the perimeter of a trapezoid you add all the sides together

therefore we do it backwards

24-3-6-9=6

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2 years ago
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Solve the equation below for a<br><br> vf=vi+at
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Answer:

a=\frac{vf - vi }{t}

Step-by-step explanation:

vf=vi + at

vf-vi= at

divide  both sides by t

\frac{vf - vi }{t} =\frac{at}{t}

a=\frac{vf - vi }{t}

6 0
2 years ago
What is a rational number?
Rzqust [24]
A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio).

Most numbers we use in everyday life are Rational Numbers. gave me thanks
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The shape of the distribution of the time required to get an oil change at a 20 minute oil change facility. However, records ind
Katyanochek1 [597]

Answer:

For a mean oil change time of 20.51 minutes there would be a​ 10% chance of being at or​ below

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 21.3, \sigma = 3.9, n = 40, s = \frac{3.9}{\sqrt{40}} = 0.6166

Treating this as a random​ sample, at what mean​ oil-change time would there be a​ 10% chance of being at or​ below?

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.28 = \frac{X - 21.3}{0.6166}

X - 21.3 = -1.28*0.6166

X = 20.51

For a mean oil change time of 20.51 minutes there would be a​ 10% chance of being at or​ below

6 0
3 years ago
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