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3 years ago

Simplify the expression IabI if a>0 and b>0

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

The "ab" inside absolute value has to go out positive, such as |-2|=2

Since both the a and b values are positive, the value of |ab| should be "ab"

For example:

a=2

b=3

|ab| = |2*3| = |6| = 6

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3 years ago

How do you calculate net income on an income statement?

Novosadov [1.4K]

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3 years ago

Prestige car rentals charge $44 per day plus 6 cents per mile to rent a mid sized vehicle. Gateway auto charges $35 per day plus

bulgar [2K]

Answer:

300 miles

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the total cost for rent a car

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

Prestige car rentals

we have that

The slope is equal to $m=\$0.06\ per\ mile$

The y-intercept is $b=\$44$

therefore

$y=0.06x+44$ -----> equation A

Gateway auto

we have that

The slope is equal to $m=\$0.09\ per\ mile$

The y-intercept is $b=\$35$

therefore

$y=0.09x+35$ -----> equation B

For what number of miles both companies charge the same price>

Equate equation A and equation B

$0.09x+35=0.06x+44$

solve for x

$0.09x-0.06x=44-35\\0.03x=9\\x=300\ miles$

6 0

3 years ago

If a triangle has sides that are 21 and 6 what is the range for third side x?

VikaD [51]

Answer:

15<x<27

Step-by-step explanation:

Rule for the sides of a triangle:

The sum of the two smallest sides of a triangle must be greater than the biggest side.

In this question:

Sides of 6, 21 and x. We have to find the range for x.

If 21 is the largest side:

Two smallest are 6 and x.

x + 6 > 21

x > 21 - 6

x > 15

If x is the largest side:

Two smallest and 6 and 21. So

21 + 6 > x

27 > x

x < 27

Then

x has to be greater than 15 and smaller than 27. So the answer is:

15<x<27

8 0

3 years ago

the number of ants per acre in the forest is normally distributed with mean 42000 and standard deviation 12275. let x = number o

saul85 [17]

Answer:

0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.

Step-by-step explanation:

When the distribution is normal, we use 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:

$\mu = 42000, \sigma = 12275$