<h3>Answer: 14</h3>
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Work Shown:


Side note: The triangles are similar, which allows us to set up the proportion in step 1.
Answer:
d. 3x - 1.
Step-by-step explanation:
45x^4−5x^2
The GCF is 5x^2 so we have:
5x^2(9x^2 - 1)
The expression in the parentheses is the difference of 2 squares so:
= 5x^2(3x - 1)(3x + 1)
Answer:
The required sample size for the new study is 801.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

25% of all adults had used the Internet for such a purpose
This means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
What is the required sample size for the new study?
This is n for which M = 0.03. So






Rounding up:
The required sample size for the new study is 801.
Use Pythagoras theorem
Hypotenuse²=Base²+ Height ²
H²=(8)²+(6)²
H²=64+36
H²= 910
H²=10√91 cm Solution
Answer:
distance=rate*time
2520=(r)(3)+(r+90)(3) (they both travel for 3 hours)
2520=3r+3r+270
2520-270=6r
2250=6r
r=2250/6
r=375 mph
r+90=375+90=465 mph
Step-by-step explanation: