Factor out the GCF of
21
b
2
c
2
from
63
b
2
c
4
+
42
b
3
c
2
.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from each term in the polynomial.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from the expression
63
b
2
c
4
.
21
b
2
c
2
(
3
c
2
)
+
42
b
3
c
2
Factor out the GCF of
21
b
2
c
2
from the expression
42
b
3
c
2
.
21
b
2
c
2
(
3
c
2
)
+
21
b
2
c
2
(
2
b
)
Since all the terms share a common factor of
21
b
2
c
2
, it can be factored out of each term.
21
b
2
c
2
(
3
c
2
+
2
b
)
The greatest common factor
GCF
is the term in front of the factored expression.
21
b
2
c
2
Answer:
The number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.
Step-by-step explanation:
Consider the provided information.
A football costs $35, a basketball costs $25 and a volleyball costs $15.
Let F represents the football, B represents the basketball and V represents the volleyball.
On a given day, the store sold 5 times as many footballs as volleyballs.
......(1)
They brought in a total of $3750 that day,
......(2)
The money made from basketballs alone was 4 times the money.
......(3)
By equation 1, 2 and 3.
Substitute the value of V in equation 1 and 3.
Hence, the number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:
In which 
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
The best design for this experiment would be a repeated measures design. This is ideal to determine if eating an apple makes you healthy.
<h3>What is an experimental design?</h3>
An experimental design refers to the general structure of an experiment including how people are distributed into the control and experimental group to test a specific phenomenon.
<h3>What is a repeated measures design?</h3>
In a repeated measures design all participants are both parts of the control group, in this case, people who do not eat apples, and the experimental group, or people who eat apples.
<h3>What does this design imply?</h3>
In the case of determining if eating an apple every day, this design implies:
- All participants will be asked to not eat apples every day for a specific period such as one or two months, and health levels will be measured during this time.
- After the first step, all participants will be asked to eat an apple every day during the period, and their health will be measured.
- The researcher can compare the results of each participant, which is more accurate than comparing one participant to another.
Learn more about experiments in: brainly.com/question/1452319
