The total number of 3 digit even numbers is 450
Step-by-step explanation:
Step 1 :
We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .
The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998
If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.
Step 2:
The last number l in this series is 998 .
So we have
a = 100
l = 998
d = 2
The nth term in the arithmetic progression is given by a + (n-1) d
so substituting the above values we get
100 + (n-1) 2 = 998
2n = 900 => n = 450
Step 3 :
Answer :
The total number of 3 digit even numbers is 450
If you would like to know how many free throws did a basketball player attempted, you can calculate this using the following steps:
75% of x is 84
75% * x = 84
75/100 * x = 84
x = 84 * 100 / 75
x = 112 free throws
The correct result would be 1<span>12 free throws.</span>
Let X be a discrete binomial random variable.
Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
Let n = 18 be the number of independent tests.
Let x be the number of successes.
So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:
a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
P (X = 8) = 0.0506.
b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:
P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.
c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
Hey!
First, let's find the area. The formula for finding area of a circle is: π · r²
Radius is ½ of the diameter. Divide the diameter by 2 to get the radius.
d = 18
18 ÷ 2 = 9
r = 9
r² = 9 × 9 = 81
The area of the whole pizza is 81π. There are 10 slices. Divide the area of the whole pizza by 10 to find the area of 1 slice.
81π ÷ 10 = 8.1π
<em>That means each slice is 8.1π inches²</em>
Answer:
-21
Step-by-step explanation:
-21 x 2 = -42 -42+16= -26
