Area of the figure
= (area of rectangle) + (area of triangle)
= (8 × 10) + (½ × 4 × 8)
= 80 + 16
= 96
Area = 96ft²
Quarts of paint needed
= 96/22
= 48/11
= 4.36
Mr. Chen will have to buy 5 quarts of paint.
Answer:
The probability that an item selected for inspection is classified as defective is 0.01485.
Step-by-step explanation:
Denote the events as follows:
A₁ = an item produced by the company is defective.
A₂ = an item produced by the company is not defective.
X = an item is classified as defective by the inspector.
Given:
P (X|A₁) = 0.99
P (X|A₂) = 0.005
P (A₁) = 0.01
P (A₂) = 1 - P (A₁) = 1 - 0.01 = 0.99
The law of total probability states that:
Use this law to compute the probability that an item selected for inspection is classified as defective as follows:
Thus, the probability that an item selected for inspection is classified as defective is 0.01485.
The correct question is
<span>The product of two consecutive positive integers is
11 more than their sum. find the integers.
Let
x-------> the first </span>positive integer
x+1-----> the second consecutive positive integer
we know that
x*(x+1)=11+(x+(x+1))----> x²+x=11+(2x+1)----> x²+x=2x+12
x²-x-12=0
using a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=4
therefore
the numbers are
x=4
x+1=5
the answer isthe numbers are 4 and 5
---Multiply a x c
Quadratic Form: ax^2 + bx + c
4 x -25 = -100
---Find a factor pair of -100 that adds up to -15
-20 x 5 = - 100
-20 + 5 = -15
---Separate the b term into your two factors
4n^2 + 5n - 20n - 25
This can take some trial and error (though there are only two options) because when you factor, you want the inside of the parentheses to be the same. If you look at the next step, (4n + 5) appears twice.
---Factor each binomial
n(4n + 5) - 5 (4n + 5)
---Rewrite
(n - 5)(4n + 5)
What you're really doing here is factoring out the (4n + 5), which leaves you with the terms that you factored out in the previous step. You then combine these terms into one set of parenthesis.
Answer: (n - 5)(4n + 5)
Hope this helps!
Hecta is the prefix meaning 100 times;
Kilo means 1000 times;
Deca is one tenth;
and Centi is one hundredth.
In this case, the smallest and most suitable for measuring small objects would be Centi.