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Gennadij [26K]
2 years ago
9

Which number line best represents he solution to the inequality -18x +3 <48?

Mathematics
1 answer:
Tanzania [10]2 years ago
6 0

Answer: A

Step-by-step explanation:

Staar testtt

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Juan plans to watch 2 movies each month. Write an equation to represent the total number of movies (n) the he will watch in (m)
Rom4ik [11]

Answer:

n = 2m

Step-by-step explanation:

total number of movies = 2 movies every month times the number of months

4 0
2 years ago
The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What
Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that \mu = 64.4, \sigma = 2.91

Sample of 50 women

This means that n = 50, s = \frac{2.91}{\sqrt{50}}

What is the probability that the mean height for the sample is greater than 65 inches?

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

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

By the Central Limit Theorem

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

Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}

Z = 1.46

Z = 1.46 has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

8 0
2 years ago
Y=x^2+3x-4 and y=4x-4
sweet [91]
The answer is (0,-4),(1,0)
8 0
2 years ago
Which of the following does NOT show a rate of 12 text messages per hour?
OLga [1]

Answer:

(0,0) doesn’t show a rate of 12 messages per hour

I’m confused about the rest please elaborate

Step-by-step explanation:

8 0
2 years ago
You had a collection of insects what ways might you classify them
Wittaler [7]
By the size , color, or if they have wings or no wings, etc. just think of what might be different on each one or group.
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3 years ago
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