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Sloan [31]
3 years ago
8

Which of the following are solutions to the inequality below? select all that apply

Mathematics
1 answer:
wariber [46]3 years ago
6 0
The answer is #1, #2, and #4

It’s #1 because if you look at a number line -3 is before -4

It’s #2 because it’s less then or equal to and -4 is equal to -4

And lastly it’s #4 because 3 is greater then -4

Hope this helps!!
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If CP of an item is Rs 7000, If SP of item is Rs 9100 Find the profit percentage.​
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2 years ago
The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centime
Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

X: height of a college student. (cm)

There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.

The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:

X[bar]~~N(μ;σ2/n)

Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

98% CI

1 - α: 0.98

⇒α: 0.02

α/2: 0.01

Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99} =2.334

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

174.5 ± 2.334* \frac{6.9}{\sqrt{50} }

[172.22; 176.78]

With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].

I hope it helps!

4 0
2 years ago
Which angles are supplementary to 14 ? select all that apply.
Furkat [3]
Answer will be 15>
Supplementary angles are two angles with the sun of 90 degrees
5 0
3 years ago
Read 2 more answers
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