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3 years ago

3x + 8 < 4(x - 3)Solve the inequality and graph the solution set.

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

Step-by-step explanation:

3x+8<4x−12

Move all terms containing x

to the left side of the inequality.

Tap for more steps...

−x+8<−12

Move all terms not containing x

−x<−20

x>20

Interval Notation:(20,∞)

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Carolyn answered 23 questions correctly for a score of 92%. How many questions were on the test?

Alla [95]

Answer:

25*0.92= 23 so she answered 23 question from 25 questions

Step-by-step explanation:

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2 years ago

WILL MARK BRAINLIEST!!! The men's costumes for an upcoming play cost $25.67 each, while the women's costumes cost $41.39 each. I

NeX [460]

Answer:

There is money left over. They have 48.98 dollars left.

Step-by-step explanation:

Men costumes in total cost $102.68 and women costumes in total cost $248.34. There budget it $400 so we add both the men and women costumes together which is $351.02 which means that they do have left over money. To find the left over money, we have to subtract $400 from $351.02 which is equal to $48.98.

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3 years ago

The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a

elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : $\mu=16.12\text{ OZ}$

Standard deviation: $\sigma=0.09\text{ OZ}$

Let X be the random variable that represents the amount of soda in bottles.

Formula for z-score : $z=\dfrac{x-\mu}{\sigma}$

Z-score for 16 oz: $z=\dfrac{16-16.12}{0.09}=-1.33$

Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

$P(x>60)=P(z>-1.33)=1-P(x\leq-1.33)=1-0.0917591=0.9082409\approx0.9082\approx90.82\%$

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .

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3 years ago

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3 years ago