Answer:
The line plot should have 6 dots on the 12 tick mark, 2 on 13, and 6 on 16.
Answer:
Required probability is 0.19
Step-by-step explanation:
The two-way table for the given data is,
Fiction Non-Fiction Total
9th grade 35 8 43
10th grade 52 12 64
Total 87 20 107
It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.
That is, to find the conditional probability 
.
Now, 
So, we get,
<h3>Thus, the required probability is 0.19.</h3>
Answer:
x = 80, y = 122
Step-by-step explanation:
I got this equation by using vertical angles to create a complimentary angle pair (they sum to 90 degrees).
3/4x+2/5x-2=90°,
23/20x - 2=90°,
23/20x = 92°,
92/(23/20)
20/(1/4)
20(4)
= 80.
Since the angles are a linear pair on the left side(they sum to 180 degrees). Just subtract 180 from 3/4x-2 and substitute x into the expression.
180-(3/4(x)-2), 180-3/4(80)+2 = 120+2 = 122
Answer:
x = 44
Step-by-step explanation:
sqrt(x+5) -3 =4
Add 3 to each side
sqrt(x+5) -3+3 =4+3
sqrt(x+5) =7
Square each side
(sqrt(x+5))^2 =7^2
x+5 = 49
Subtract 5 from each side
x+5-5 = 49-5
x=44
<u>Given</u>
AC = BC
<u>Substitution</u>
∠1 = ∠3
<u>Base ∠'s of isosceles triangle =</u>
∠1 = ∠3
<u>Vertical angles =</u>
∠2 = ∠3
