What is the slope if y+2=3/2(x+7)

Convert degree measure to radians measure a. 60o<br> b. 90o c. 120o d. 150o

LuckyWell [14K]

What is the degree you're trying to convert?

3 0

3 years ago

An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0

zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 105, p = 0.9$

So

$\mu = E(X) = np = 105*0.9 = 94.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.9*0.1} = 3.07$

What is the probability that everyone who appears for the flight will get a seat

100 or less people appearing to the flight, which is the pvalue of Z when X = 100. So

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

$Z = \frac{100 - 94.5}{3.07}$

$Z = 1.79$

$Z = 1.79$ has a pvalue of 0.9633

96.33% probability that everyone who appears for the flight will get a seat

7 0

3 years ago

What is additive notation

Damm [24]

Answer:

Additive notation is a convention often used for representing a commutative binary operation of an algebraic structure. The symbol used for the operation is +.

* Hopefully this helps:) Mark me the brainliest:)!!

8 0

3 years ago

Read 2 more answers

A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values

melamori03 [73]

20 = 2 x 2 x 5
15 = 3 x 5

common divisor (CD) of 20 and 15 is 5 so n should be 5 and each group has 4 boys and 3 girls.

If there are more than one CD, then there are more than one answer.

If they ask for the largest number of groups, greatest common divisor (GCD) will be the answer.

4 0

3 years ago

The Kellogg Company periodically compares sales across departments. In one particular instance, they would like to determine if

alex41 [277]

Answer:

H₀: μs = μf

H₁: μs ≠ μf

Step-by-step explanation:

Hello!

If the company wants to compare the sales of both departments "snacks" and "frozen foods" to see if there is any difference, the best is to compare the average number of sales of them.

Then the parameters of interest will be:

μs= average number of sales of the "snacks" department.

μf= average number of sales of the "frozen food" department.

The objective is to test if there is any difference between both departments, then the hypothesis should be two-tailed:

H₀: μs = μf

H₁: μs ≠ μf

I hope it helps!

7 0

3 years ago