Answer: 0.5898
Step-by-step explanation:
Given : J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 .
We assume that,
The probability that .J. Redick makes any given free throw =0.901 (1)
Free throws are independent.
So it is a binomial distribution .
Using binomial probability formula, the probability of getting success in x trials :
, where n= total trials
p= probability of getting in each trial.
Let x be binomial variable that represents the number of a=makes.
n= 14
p= 0.901 (from (1))
The probability that he makes at least 13 of them will be :-
![=^{14}C_{13}(0.901)^{13}(1-0.901)^1+^{14}C_{14}(0.901)^{14}(1-0.901)^0\\\\=(14)(0.901)^{13}(0.099)+(1)(0.901)^{14}\ \ [\because\ ^nC_n=1\ \&\ ^nC_{n-1}=n ]\\\\\approx0.3574+0.2324=0.5898](https://tex.z-dn.net/?f=%3D%5E%7B14%7DC_%7B13%7D%280.901%29%5E%7B13%7D%281-0.901%29%5E1%2B%5E%7B14%7DC_%7B14%7D%280.901%29%5E%7B14%7D%281-0.901%29%5E0%5C%5C%5C%5C%3D%2814%29%280.901%29%5E%7B13%7D%280.099%29%2B%281%29%280.901%29%5E%7B14%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_n%3D1%5C%20%5C%26%5C%20%5EnC_%7Bn-1%7D%3Dn%20%5D%5C%5C%5C%5C%5Capprox0.3574%2B0.2324%3D0.5898)
∴ The required probability = 0.5898
The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
r = (5:1)^1
r = 25:1
Thus, the ratio of the surface areas of the similar solids is 25:1.
Answer:
B. 
Step-by-step explanation:
The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:
(1)
If we know that 
and 
, then the formula for the approximate population in the region is:
![T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]](https://tex.z-dn.net/?f=T%28x%29%20%3D%20%5B2.9%5Ccdot%20%281.05%29%5E%7Bx%7D%5D%5Ccdot%20%5B%281.05%29%5E%7B3%5Ccdot%20x%20%2B%205%7D%5D)
Hence, correct answer is B.
Answer:
5 and one-third units
Step-by-step explanation:
In the given question, we are given the following values:
The length of W Y = 4
The length of Y X = a
The length of Z Y = 3
We are to find a
From the describe diagram above, we would have the following
WY:ZY = YX :WY
WY/ ZY = YX/WY
4/3= a/4
Cross Multiply
4× 4 = 3a
Divide both sides by 3
a = 16/3
a = 5 1/3 units
a = 5 and one third units
She can make 72
Find the area of the fabric 12x6=72
Area of napkins 1x1 =1
divide fabric by napkins
72/1=72 napkins can be made
