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Bad White [126]
2 years ago
15

In science class, the average score on a lab report is 82 points, with all students scoring within 3.2 points of the average. If

x represents a student's score, write an equation that represents the minimum and maximum scores.
Mathematics
1 answer:
nirvana33 [79]2 years ago
7 0

An equation that represents the minimum and maximum scores is; |x - 82| = 3.2.

<h3>How to write an absolute value equation?</h3>

The absolute value function is defined by:

f(x) = x, x ≥ 0.

f(x) = x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:

|x - 82| = 3.2.

Read more absolute Value equation at; brainly.com/question/5012769

#SPJ1

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Kay [80]

Answer:

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=> x(x + 4) = 21

<=> x² + 4x = 21

3 0
3 years ago
Marissa bought 2 and a half gallons of orange juice to make punch how many quarts of orange juice did. Marissa buy
Nookie1986 [14]
The answer is as follows:
There are 2 pints in a quart. 
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Therefore, we can conclude that there are 10 quarts of orange juice.
7 0
3 years ago
A line has a zero slope and passes through the point (4,-9). What is the equation of the line?
Ugo [173]

keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.

5 0
2 years ago
2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
3 years ago
From the given information, find the value of x.​
igor_vitrenko [27]

Answer:

X=45

Step-by-step explanation:

Lines AC and CD meet at a right angle so you half 90 =45

7 0
3 years ago
Read 2 more answers
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