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Tomtit [17]
3 years ago
11

What is the solution to this inequality?

Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer: x>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x−5>−29

Step 1: Add 5 to both sides.

6x−5+5>−29+5

6x>−24

Step 2: Divide both sides by 6.

6x/6>-24/6

<h3>x>-4</h3>
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Write an equation of the circle given its center and radius
Genrish500 [490]

Answer:

y =x² + y² + 2y - 35

Step-by-step explanation:

The equation of a circle is given by the formula;

(x-a)²+(x-b)² = r²

Where;  (a, b) is the center of the circle and r is the radius

Therefore;

(x-0)² +(y+1) = 6²

x²+ y² +2y + 1= 36

x² + y² + 2y - 35 = 0

Therefore; The equation of the circle is y = x² + y² + 2y - 35

5 0
3 years ago
Read 2 more answers
PLEASE HELP
Murrr4er [49]
20% decrease should be the answer
3 0
2 years ago
Please help!! 11 points!!
MariettaO [177]

Answer:3x < 8x - 3

Step-by-step explanation:

5 0
3 years ago
The average amount of time that students use computers at a university computer center is 36 minutes with a standard deviation o
frosja888 [35]

Answer:

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 36, \sigma = 5

The first step to solve this question is finding the proportion of students which use the computer more than 40 minutes, which is 1 subtracted by the pvalue of Z when X = 40. So

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

Z = \frac{40 - 36}{5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881.

1 - 0.7881 = 0.2119

So 21.19% of the students use the computer for longer than 40 minutes.

Out of 10000

0.2119*10000 = 2119

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

8 0
3 years ago
What is the answer for C please help !! And explain
docker41 [41]
To determine the hypotenuse, use the formula a^2 + b^2 = c^2.

Place 80 as "a" and 39 as "b". Your formula should look like 80^2 + 39^2 = c^2.

Next, plug this into your calculator to get 7921. Then square root 7921.

Answer: 89
8 0
3 years ago
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