Answer:
oc
Step-by-step explanation:
m n
Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of
=
,
= 
Simplest form of
= 
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
Answer:
The answer is -11
Step-by-step explanation:
subtract 6 from both sides.
divide both sides by the negative 4
Simplify 44/-4x
which gives you x= -11
Answer:
0.36 = 36% probability that the land has oil and the test predicts it
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
45% chance that the land has oil.
This means that 
He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.
This means that 
What is the probability that the land has oil and the test predicts it?
This is
. So


0.36 = 36% probability that the land has oil and the test predicts it
Answer:
It can be decomposed into the following simplest shapes:
TWO RECTANGLES AND ONE TRIANGLE
Step-by-step explanation:
You can observe in the picture attached that it can be decomposed into the following simplest shapes:
Two Rectangles.
One Triangle.
Because,
The area of the a rectangle can be found with:
A= lw
Where "l" is the length and "w" is the width.
You can identify in the picture that:
lA: 14 ft
Wa: 13ft -7ft= 6ft
1b= 20 ft
wb= 7ft
So, Substituting the values, you get that the areas of the rectangles A and B are:
Aa: (14ft) (6ft)= 84ft²
Ab: (20ft) (7ft) = 140ft²
The formula for the area of a triangle is:
A= 
Where "b" is the base and "h" is the height.
In this case:
b= 20ft- 14ft= 6ft
h= 6ft
Then, its area is:
Ac =
which iis 18ft²
Then, it will bring the total area of carpet that Valerie needs:
At= Aa+ Ab+ Ac
At= 84ft² + 140ft² + 18ft²
At= 242²