Answer:
E
Step-by-step explanation:
89 + 95 = 184
89 x 15% increases the number of boys by 13 89 + 13 = 102
95 x 20% decreases the girls by 19 95 - 19 = 76
102 + 76 + 178
Answer:
4/5, 3/4, 0.72, 0.70, %65.5
Step-by-step explanation:
65.5/100=0.655
There are 2! = 2 ways to arrange the names of two basketball players in a hat.
Since, the are going to throw alphabetically, there is 1 way for the names to be arranged alphabetically.
Therefore, <span>the probability that they shoot free throws in alphabetical order is

</span>
Answer:
Step-by-step explanation:
Given the definite integral
, we to evaluate it. Using integration by substitution method.
Let u = 1-2x⁵ ...1
du/dx = -10x⁴
dx = du/-10x⁴.... 2
Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

![= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5Cint%5Climits%20%7B%5Cdfrac%7Bdu%7D%7Bu%5E5%7D%20%7D%20%20%5C%5C%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5Cint%5Climits%20%7B%7Bu%5E%7B-5%7Ddu%20%7D%20%20%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5B%7B%5Cfrac%7Bu%5E%7B-5%2B1%7D%7D%7B-5%2B1%7D%5D%20%20%5C%5C%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%28%7B%5Cfrac%7Bu%5E%7B-4%7D%7D%7B-4%7D%29%5C%5C%5C%5C)

substitute u = 1-2x⁵ into the result

Hence

Answer:
In 2012 , the population will be 15 million
Step-by-step explanation:
We start by setting up an exponential equation that defines the increase
P(t) = I(1 + r)^t
P(t) represents the present population = 15 million
I is the population in 2007 which is 13.8 million
r is 1.6% = 0.016
t is what we want to calculate
15 million = 13.8 million (1 + 0.016)^t
15/13.8 = (1.016)^t
1.09 = (1.016)^t
ln 1.09 = t ln 1.016
t = ln 1.09/ln 1.016
t = 5.429 which is approximately 5
So in 2007 + 5 = 2012, the population will be 15 million