Answer:
Total crackers on the plate are 12
Step-by-step explanation:
Manuel ate crackers = 
His brother ate crackers = 
Crackers left on the plate = 5
We need to find how many crackers were there on the plate.
Let x be the total crackers on the plate
So, we can write the equation
Because 1/3 and 1/4 crackers are eaten and 5 are left so, we subtract 1/3x and 1/4x from x and equal it to 5
So, we get x = 12
Therefore, total crackers on the plate are 12
The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels
<h3>What is an
equation?</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.
Hence:
Amount of rice harvested = 7,553 bushels per acre * 690 acres = 5211570 bushels
The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels
Find out more on equation at: brainly.com/question/2972832
Answer:
{-2, -1, 1, 5, 6}
Step-by-step explanation:
The domain includes the five x-values (inputs): {-2, -1, 1, 5, 6}
The length of a diagonal is nine inches because it is the same length as the side length.
Answer:
a) the probability that the minimum of the three is between 75 and 90 is 0.00072
b) the probability that the second smallest of the three is between 75 and 90 is 0.396
Step-by-step explanation:
Given that;
fx(x) = { 1/5 ; 50 < x < 100
0, otherwise}
Fx(x) = { x-50 / 50 ; 50 < x < 100
1 ; x > 100
a)
n = 3
F(1) (x) = nf(x) ( 1-F(x)^n-1
= 3 × 1/50 ( 1 - ((x-50)/50)²
= 3/50 (( 100 - x)/50)²
=3/50³ ( 100 - x)²
Therefore P ( 75 < (x) < 90) = ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx
= 3/50³ [ -2 (100 - x ]₇₅⁹⁰
= (3 ( -20 + 50)) / 50₃
= 9 / 12500 = 0.00072
b)
f(k) (x) = nf(x) ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k
Now for n = 3, k = 2
f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))
= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)
= 6/50³ ( 150x - x² - 5000 )
therefore
P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx
= 99 / 250 = 0.396
