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3 years ago

Which of the following points lie in the solution set to the following system of inequalities?

Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

B. (5,-2)

Step-by-step explanation:

Plug in X and Y, verify accuracy

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Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.

Alex Ar [27]

Answer:

b) 6.68%

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.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that $\mu = 50, \sigma = 10$

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

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

$Z = \frac{65 - 50}{10}$

$Z = 1.5$

$Z = 1.5$ has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

7 0

3 years ago

A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which

exis [7]

The cat travels 0.7 times as far as the dog on each stride, but it takes 1.3 times as many strides in a given time interval. Hence the cat's distance relative to the dog's is 0.7*1.3 = 0.91. This is less distance than the 1 unit the dog covers in the same time.

The dog will win the race.

3 0

3 years ago

Read 2 more answers

What is the slope of the line determined by the points (-1,2) and (6,-3) ?

Ilya [14]

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\
m=\dfrac{2-(-3)}{-1-6}\\
m=\dfrac{5}{-7}\\
m=-\dfrac{5}{7}\\$

6 0

2 years ago

If 2^x+4 = 2^3x-1, what is the value of x?

Ronch [10]

Answer:

x = 5/2

Step-by-step explanation:

2^x+4 = 2^3x-1

x + 4 = 3x - 1

3x - x = 4 + 1

2x = 5

x = 5/2

3 0

3 years ago

Alex, Toby and Samuel are playing a game together.

Shalnov [3]

Answer:

1/9

Step-by-step explanation:

There are three places and three people.

Times them together for the total outcomes:

1/3 x 1/3= 1/9

8 0

3 years ago