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kakasveta [241]
3 years ago
10

Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the g

iven conditions. Let n= a number. Choose the inequality that represents the given relationship
Mathematics
2 answers:
Airida [17]3 years ago
6 0

i just answered and got it correct it is D

Sholpan [36]3 years ago
3 0
It would be 3(n-2) is greater than or equal to 5n.
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A recent survey found that 86% of employees plan to devote at least some work time to follow games during the NCAA Men's Basketb
trasher [3.6K]

Answer:

4.18% probability that less than 80% of this sample will devote work time to follow games

Step-by-step explanation:

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question, we have that:

p = 0.86, n = 100

So

\mu = 0.86, s = \sqrt{\frac{0.86*0.14}{100}} = 0.0347

What is the probability that less than 80% of this sample will devote work time to follow games?

This is the pvalue of Z when X = 0.8. So

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

By the Central Limit Theorem

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

Z = \frac{0.8 - 0.86}{0.0347}

Z = -1.73

Z = -1.73 has a pvalue of 0.0418

4.18% probability that less than 80% of this sample will devote work time to follow games

7 0
2 years ago
Give an exact value, not a decimal approximation
dsp73

Answer:

Sinθ = 24/25

Step-by-step explanation:

Sinθ = Opposite/Hypotenuse

Solve for the opposite side using the Pythagorean Theorem.

a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\b^2=576\\b=24

Therefore, Sinθ = 24/25.

6 0
2 years ago
mark has a board that is 12 feet long he cuts the board into 8 peices that are the same lenght. how long is each peice
VLD [36.1K]

Answer: So, all you have to do is divide in this situation. He starts with a board that is 12 feet long, keep that in mind. If he cuts that into 8 pieces it's like he is dividing. So 12 divided by eight or 12/8 would be 1.5. Your answer is that each piece would be 1.5ft long.

7 0
2 years ago
Help please I will mark brainliest!
ruslelena [56]

Answer:

multiply 8 x 4=22

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What two things did the delegates disagree about that forced them to make compromises
irakobra [83]
The number of representatives each state had and slaves being counted as part of the population are the two things did the delegates disagree about that forced them to make compromises. In addition, the legislative, executive and judicial branch is the three branches of the government that is created by the new constitution.
8 0
3 years ago
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