What is the volume of a circular cylinder with a radius of 6mm and a height of 10mm

The cost of a car rental is $35 per day plus 21 cents per mile. You are on a daily budget of $98. Write and solve an inequalit

erma4kov [3.2K]

Let x = mileage
98 >= 35 + .21x
Solving for x:
98 >= 35 + .21x
63 >= .21x
300 >= x
.
This says that if the total mileage is 300 miles or less he will be within his budget.

4 0

2 years ago

Which identity is the result of using the Pythagorean theorem to show that a triangle with side lengths

disa [49]

C I think but I’m not sure

4 0

3 years ago

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels. How many cups of

cupoosta [38]

Answer:

Ted will need $3\frac{3}{4}$ cups of pretzels to make 15 cups of trail mix.

Step-by-step explanation:

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.

So, 1/4 cup of pretzels to make 1 trail mix

x cups of pretzels to make 15 trail mix

Using the ratio and proportional

∴ x = (1/4) * 15 = 3.75 = $3\frac{3}{4}$ cups.

<u>Ted will need </u> $3\frac{3}{4}$ <u> cups of pretzels to make 15 cups of trail mix.</u>

4 0

3 years ago

Simplify (-5i)+(5-1)+6

Liono4ka [1.6K]

Hi there

-5i + 5-1 + 6

= -5i + 11- 1

= 5i + 10

That's the answer :0

I hope that's help... Do you have any question ?

5 0

3 years ago

IQ scores are measured with a test designed so that the mean is 116 and the standard deviation is 16. Consider the group of IQ s

butalik [34]

Answer:

So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.

The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.

Step-by-step explanation:

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.

In this question, we have that:

$\mu = 116, \sigma = 16$