What us the solution to the inequality 4-2 (x+10) >12

Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coi

Sveta_85 [38]

Answer: There should be 16, 20 cent coins

Step-by-step explanation:

First we have to do 1.60 x 2 which equals 3.2

Then we divided by 0.20 because the equals the 20 cent coins

We get 16

We can check our work by 0.20 x 16 and that gives us 3.2

I hope this helps!

3 0

2 years ago

I rlly need help with this :(

kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 72.6, \sigma = 2.7$ .

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

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

$Z = \frac{74.2 - 72.6}{2.7}$

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

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

$Z = \frac{78 - 72.6}{2.7}$

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

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

$Z = \frac{70 - 72.6}{2.7}$

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

2 years ago

From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. brainly

nadezda [96]

= (5 - 9i) + (-4 + 7i) - (14 - 3i)
Combine like terms; two negatives make a positive when you remove parentheses

= (5 + -4 + -14) + (-9i + 7i + 3i)

= -13 + 1i or -13 + i

ANSWER: -13 + i (first choice)

Hope this helps! :)

4 0

3 years ago

What are the coordinates of A? b) What are the coordinates of B?

Georgia [21]

Answer:

A(-4.5 , 2) B(0 , -3.5)

Step-by-step explanation:

..

8 0

3 years ago

The stadium is like a hemisphere with a radius of 150 feet last month the owners of the stadium paid 0. 05 per cubic foot to cov

GREYUIT [131]

The total cost for utilities last month is 353,571.43.

<h3>What is the total cost for utilities last month?</h3>

The total cost for utilities last month can be determined by multiplying the volume of the stadium by the cost per cubic foot.

The volume of the stadium can be determined by using the formula for the volume of a hemisphere.

Volume of a hemisphere = Volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

2/3 x 22/7 x 150³ = 7071,428.57

The total cost for utilities last month = 7071,428.57 x 0.05 = 353,571.43

To learn more about volume, please check: brainly.com/question/13705125

6 0

2 years ago