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Akimi4 [234]
3 years ago
7

Help please thank you!

Mathematics
2 answers:
ozzi3 years ago
8 0
4x^2 + 16x-2= 5x
Minus 16x over

4x2-2= -11x

Add 11x over

4x^2 +11x -2

Use quadratic formula x= 2.9
I’m not sure here. I tried my best. Hope it helps!
Ede4ka [16]3 years ago
6 0

Answer:

x_1=-2.9\\x_2=0.2

Step-by-step explanation:

The first step is to move the 5x to the left side of the equation and then add the like terms:

4x^2+16x-2=5x\\\\4x^2+16x-2-5x=0\\\\4x^2+11x-2=0

Now we can apply the Quadratic formula. This is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case we can identify that:

a=4\\b=11\\c=-2

Finally, we must substitute these values into the Quadratic formula. Then we get:

x=\frac{-11\±\sqrt{(11)^2-4(4)(-2)}}{2(4)}

x_1=-2.9\\x_2=0.2

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A grading scale is set up for 1000 students' test scores. It assumes the
astra-53 [7]

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that \mu = 75, \sigma = 15

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

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

Z = \frac{75 - 75}{15}

Z = 0

Z = 0 has a p-value of 0.5

X = 48

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

Z = \frac{48 - 75}{15}

Z = -1.8

Z = -1.8 has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

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997/1000, or just round it to 1. <em>If I helped click thanks please  (:</em>
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Step-by-step explanation:

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