Answer:
4 and 5
Step-by-step explanation:
We know that.
√16 < √21 <√25
⇒4 < √21 < 5
Hence √
21 lies between 4 and 5
Answer:
59 accidents were investigated.
Step-by-step explanation:
The question above is a probability question that involves 2 elements: causes of accidents.
Let
A = Alcohol
E = Excessive speed
In the question, we are given the following information:
18 accidents involved Alcohol and Excessive speed =P(A ∩ E)
26 involved Alcohol = P(A)
12 accidents involved excessive speed but not alcohol = P( E ) Only
21 accidents involved neither alcohol nor excessive speed = neither A U B
We were given P(A) in the question. P(A Only) = P(A) - P(A ∩ E)
P(A Only) = 26 - 18
= 8
So, only 8 accident involved Alcohol but not excessive speed.
The Total number of Accidents investigated = P(A Only) + P( E only) + P(A ∩ E) + P( neither A U B)
= 8 + 12 + 18 + 21
= 59
Therefore, 59 accidents were investigated.
Answer: To eliminate negative exponents, you move the whole factor to the denominator, if possible. Repeated exponentiation multiplies exponents.
Step-by-step explanation:
![(x^{-7})^6 = \left({\frac{1}{x^7}}\right)^6 = \frac{1}{x^7} \frac{1}{x^7} \frac{1}{x^7}\frac{1}{x^7} \frac{1}{x^7} \frac{1}{x^7}=\frac{1}{x^{42}}](https://tex.z-dn.net/?f=%28x%5E%7B-7%7D%29%5E6%20%3D%20%5Cleft%28%7B%5Cfrac%7B1%7D%7Bx%5E7%7D%7D%5Cright%29%5E6%20%3D%20%5Cfrac%7B1%7D%7Bx%5E7%7D%20%5Cfrac%7B1%7D%7Bx%5E7%7D%20%5Cfrac%7B1%7D%7Bx%5E7%7D%5Cfrac%7B1%7D%7Bx%5E7%7D%20%5Cfrac%7B1%7D%7Bx%5E7%7D%20%5Cfrac%7B1%7D%7Bx%5E7%7D%3D%5Cfrac%7B1%7D%7Bx%5E%7B42%7D%7D)
Circumference = pi * diameter
Diameter = 15
Assume pi = 3.14
15 * 3.14 = 47.1 in.
The answer is A