Here is a list of numbers: 14, 4, 4, 16, 14, 3, 13 ,11 ,1 ,8 State the median.

Find the slope between the points (2, -10) and (-4, 2). A) 1/4 B) -2 C) 4 D) -1/2

CaHeK987 [17]

Answer:

B) -2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2

8 0

3 years ago

Help The first one is what is on sale and the bottem is what needs to be solved!

Hatshy [7]

Answer:

jacket 80

shoes 32 and 16

shirt 9 , 8.04, 4.08

Step-by-step explanation:

you need to multiply the original cost by the percentage off and then subtract from the original

example

Jacket is originally priced at $120 it is on sale for 1/3 off which means that if you divide 120 by 3 you will get 40. but you would have to subtract the 40 from 120 giving you 80

7 0

3 years ago

Read 2 more answers

Consider the equation 8x + 5 = 37. Write a real-life scenario that this equation could model.8x+5-5=37-5 8x=32 8x/8=32/8 x=4

laila [671]

Answer: See the full explanation.

Step-by-step explanation:

You can actually do this using various life scenario. Let me help you with this example.

Suppose that one person is called Mike and he needs to buy something, here is your scenario for Mike to get what he want:

Mike wants to buy a pair of shoes that worth 37$ for a soccer game next week. He only has 5$ in his wallet. In order to get the remaining money, he decides to work in a market for a day. If the market pay 8$ per hour, how many hours does Mike need to have enough money to buy the shoes?.

This is the real life scenario. The equation is as above, because you can call "x" the number of hours needed, so as you solve the equation, you'll realize that the number of hours needed is 4:

8x + 5 = 37

8x = 37 - 5

8x = 32

x = 32/8 = 4 hours needed.

3 0

3 years ago

The ideal size of a first-year class at a particular college is 150 students. The college, knowing from past experiences that on

katen-ka-za [31]

Answer:

6.18% probability that more than 150 first-year students attend this college.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

For each item selected, there are only two possible outcomes. Either it is defective, or it is not. This means that we use concepts of the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .