To answer this question, we need to find the winning probability in either case.
Probability = no. of outcomes / total no. of possible outcomes
<u>When Hope pulled her defender :</u>
Total no. of games = 9
No. of games won = 3
Winning probability = 3/9 =1/3
<u>When Hope left her defender :</u>
Total no. of games = 10
No. of games won = 6
Winning probability = 6/10 = 3/5
We know that , 1/3 < 3/5.
So, Hope should not pull her defender, as the winning probability is better when Hope left her defender.
Answer : A. Hope should not pull her defender.
90° is equal to
or 1.5707 radians.
Step-by-step explanation:
Step 1:
If an angle is represented in degrees, it will be of the form x°.
If an angle is represented in radians, it will be of the form
radians.
To convert degrees to radians, we multiply the degree measure by
.
For the conversion of degrees to radians,
the degrees in radians = (given value in degrees)(
).
Step 2:
To convert
90°,

radians.
So 90° is equal to
or 1.5707 radians.
Answer: Their actual volume in millions is 207×10⁹.
Step-by-step explanation:
Since we have given that
A certain corporation listed their sales in 100s as 20700
We need to find their actual volume in millions,
According to question,
In 100s, their volume = 2070000
In 100000, their volume is given by

Hence, their actual volume in millions is 207×10⁹.
Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.
40\8
5\1
=5
or
0.2
I hope this help