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Nimfa-mama [501]
3 years ago
14

Solve the inequality below. Use the drop-down menus to describe the solution and its greah

Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0

Answer:

The solution of the inequality is x ≤ -4. A graph of the solution should have a vertical line passing through x = -4 and be shaded to the left of x = -4

Step-by-step explanation:

-7x + 13 ≥ 41

Subtract 13 from both sides

-7x ≥ 28

Dividing both sides by the -7 changes the inequality sign and we have

x ≤ -4

Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.

Hope this Helps!!!

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat
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Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

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.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that \mu = 5.11, \sigma = 0.07

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

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

-1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = -1.34*0.07

X = 5.02

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

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

1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = 1.34*0.07

X = 5.2

The diameter that separates the top 9% is 5.2 millimeters.

6 0
3 years ago
WHICH POINT IS NOT ON THE GRAPH OF THE FUNCTION y = x -2?
Nana76 [90]

Answer: (7, 4)

Step-by-step explanation:

4 0
3 years ago
How do you convert the equation to factored form
olya-2409 [2.1K]
F(x) = x² - 10x - 24 ,        24= (-12)*2  and -12+2 =-10

f(x) = (x-12)(x+2)
Answer A. f(x) = (x-12)(x+2)
6 0
2 years ago
Read 2 more answers
What number must be added to the expression below to complete the square?
stiv31 [10]

D. 1/4

Explanation:

a perfect square is written in the form

(x+a)^2 = x^2 + 2ax +a^2 (1)

In our problem, we have this perfect square:

x^2 - x + C (2)

with C being unknown. However, by comparing (1) and (2), we know that

2a=-1

So, we find

a=-\frac{1}{2}

and therefore, the missing term must be

a^2 = \frac{1}{4}

so the complete square is

x^2 -x +\frac{1}{4}

7 0
2 years ago
Read 2 more answers
Explanation please I need to know how you got the answer thank you!
Blababa [14]

Answer:

19.6, B

Step-by-step explanation:

To solve, we need to figure out how many gallons of white paint she needs for every gallon of brown paint.

We are given this equation.

5 gallons of brown paint = 7 gallons of white paint

Divide both sides by 5.

1 gallon of brown paint = 7/5 gallons of white paint = 1.4 gallons of white paint

Now, using this, substitute 14 into the left side.

14 gallons of brown paint = 1.4 * 14 gallons of white paint

14 gallons of brown paint = 19.6 gallons of white paint

Thus, the answer is B, 19.6 gallons

8 0
2 years ago
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