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dlinn [17]
3 years ago
6

What is the solution to this inequality?

Mathematics
1 answer:
stira [4]3 years ago
6 0

Answer:

Move all terms not containing x to the right side of the inequality. x < 9

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality. x < 9

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In the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
Pachacha [2.7K]

Answer:

The laws of pemdas say that exponent must come first.

8 0
3 years ago
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A class of 30 students took midterm science exams. 20 students passed the chemistry exam, 14 students passed physics, and 6 stud
sergejj [24]

Answer:

Step-by-step explanation:

Given :

Total students = 30

Students passed chemistry exam = 20

Students passed physics exam = 14

Students passed both exams = 6

To find: Venn diagram

Solution:

Total students = 30 i.e. U = 30

Students passed chemistry exam = 20

Students passed physics exam = 14

Students passed both exams = 6

Students passed only chemistry = 20-6 =14

Students passed only Physics = 14-6=6

So refer the attached figure for the Venn diagram

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3 years ago
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Please help !! Find the value of x
Naily [24]

Answer:

Step-by-step explanation:

6x-3+75=180

6x=180-72

6x=108

x=108/6=18°

5 0
2 years ago
A car drives 195 miles in 3 hours and 15 minutes. what is the average speed of the car?
g100num [7]
1 mpm or 0.0166666666 repeating mph
5 0
3 years ago
suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio
djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use 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 question:

\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

\mu = \mu_X - \mu_Y = 45 - 35 = 0

\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

Z = \frac{0 - 10}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0
3 years ago
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