Answer:
Dennis need 288.91 square inches of construction paper for his project.
Step-by-step explanation:
Dennis is cutting construction paper into rectangles for a project.
He needs to cut one rectangle that is 12 inches times 15 1/4 inches
First convert the mixed fraction to improper fraction

So the area of 1st rectangle is

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""
The symbol " means inches
First convert the mixed fraction to improper fraction


So the area of 2nd rectangle is

The total construction paper needed for this project is

Therefore, Dennis need 288.91 square inches of construction paper for his project.
Answer:
c. 273 cars
Step-by-step explanation:
First you need to find what 16% of 325 is
325x.16=52
because the number sold dropped by 16% you will subtract 52 from 325
325-52=273
you can also calculate the answer by subtracting 100% by 16%
100%-16%=84%
now you can calculate 84% of 325
325x.84=273
Answer: alternative D.
Step-by-step explanation: The two correct alternatives are A and B, which state that a larger sample would fit into the 95% confidence interval with a smaller margin of error, since<u> the more samples, the less is the deviance from its calculated average value</u>. If the sample size is bigger and the margin of error smaller, the tendency to choose randomly one individual and having a result closer to the true value of the average hormone level increases.
Answer:
Step-by-step explanation:
<u>We have:</u>
- p = -1/5x + 100 = -0.2x + 100
a) <u>The revenue is:</u>
- R = px
- R = x( -0.2x + 100)
- R= -0.2x² + 100x
b) <u>x = 200, find R:</u>
- R = -0.2(200²) + 100(200) = 12000
c) <u>This is a quadratic function and the maximum value is obtained at vertex.</u>
- x = -100/(-0.2*2) = 250 is the required quantity
d) <u>The max revenue is obtained when -0.2x + 100 at max:</u>
- The maximum possible is p = 100 when x = 0
Answer:
Step-by-step explanation:
the Pythagorean theorem is
c is the hypotenuse which is the side opposite of the right angle
plug the numbers into the Pythagorean theorem

when squaring a square root, just take the number in the radical and get rid of the radical

subtract 26 from both sides


find the square root of 143
143 is prime so it can just be written as
