Answer:
It would be B.
Step-by-step explanation:
This is because adding a negative exponent onto a number is telling you how many times you have to divide it by. So in this case, it would be the equation 1 / 2^4 to solve it.
Answer:
m∠ABC = 130.4°
Step-by-step explanation:
Angle Bisector: The line that divides the angle into <u>two equal parts</u>.
If BD bisects ∠ABC then:
⇒ ∠ABD = ∠DBC
Given m∠ABD = 65.2° then:
⇒ ∠DBC = 65.2°
Therefore:
⇒ m∠ABC = m∠ABD + m∠DBC
⇒ m∠ABC = 65.2° + 65.2°
⇒ m∠ABC = 130.4°
Answer:
P(20000<x<50000)
Step-by-step explanation:
Given that f(x) is a probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles.
We have to explain the meaning of integral
20000 to 50000 f(x) dx
= 
where F is the cumulative function.
Hence the integral is the probability that x lies between 20000 and 50000
Hence the integral is nothing but

Given:
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent.
Lid on Scott's container can hold 3 fluid ounces of detergent.
Lid on Nikki's container can hold 4 fluid ounces of detergent.
To find:
The number of lids full of detergent Scott have more than Nikki.
Solution:
We know that,
1 gallon = 128 fluid ounces
1.5 gallon = 192 fluid ounces
Lid on Scott's container can hold 3 fluid ounces of detergent. So, number of lids full of detergent Scott have is

Lid on Nikki's container can hold 4 fluid ounces of detergent. So, number of lids full of detergent Nikki have is

Difference between number of lids is

Therefore, Scott have 16 lids more than Nikki. Hence, the correct option is B.