Can someone help me on #1,3,5,7?

C/8+25=20 what does c equal

Korolek [52]

Answer:

-40

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

$4,600 invested in a CD paying the investor 5% annual return for one year? what’s the answer

xxMikexx [17]

Answer:

230

Step-by-step explanation:

multiply 6,400 by 5% then multiply that by the 1 year and 230 will be the answer

Hope this helps :)

7 0

2 years ago

In the university library elevator there is a sign indicating a 16-person limit as well as a weight limit of 2750 pounds. Suppos

Alona [7]

Answer:

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

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 normally distributed samples are 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.

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.

If n variables are added, the mean is $n\mu$ and the standard deviation is $s = \sqrt{n}\sigma$

In this problem:

$n = 16, \mu = 160*16 = 2560, s = \sqrt{16}*27 = 108$

What is the probability that the random sample of 16 people in the elevator will exceed the weight limit?

This is 1 subtracted by the pvalue of Z when X = 2750. So

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

By the Central Limit Theorem

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

$Z = \frac{2750 - 2560}{108}$

$Z = 1.76$

$Z = 1.76$ has a pvalue of 0.961

1 - 0.961 = 0.039

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

7 0

2 years ago

Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of ea

pickupchik [31]

Answer:

30 pesos

Step-by-step explanation:

Given

Had 200 pesos originally
spends 'y' pesos on a notebook
Bought 4 colored pens with the rest of the money

Solving

Let money of the pen = x, money of notebook = y
4x + y = 200
4x + 80 = 200
4x = 120
x = 30 pesos

8 0

2 years ago

If students at summer camp spent 4 hours 25 minutes at the pool learning to swim. In the morning they spent 2 hours 48 minutes a

earnstyle [38]

What you need to do is subtract 2 hours and 48 minutes from 4 hours and 25 minutes. Each hour is 60 minutes. 2 hrs and 48 min is 168 minutes, and 4 hrs and 25 min is 265 minutes. 265 subtract 168 is 97. That means the kids spent 1 hour and 37 minutes at the pool in the afternoon.

3 0

2 years ago

Read 2 more answers