Answer:
x = 4, y = 12/5
Step-by-step explanation:
2x+5y = 20
6x-5y = 12
----------------- (+)
8x = 32 => x = 32/8 => x = 4
2·4+5y = 20 => 8+5y = 20 => 5y = 12 => y = 12/5
Answer:
Angle 2 = 105
Step-by-step explanation:
Since these angles are cut by a transversal the angle from above is congruent to angle #2. You can say the theorem that is used to make these two congruent is the Alternate exterior angles theorem which states this.
Hope this helped!
Answer:
The probability that in a one-game playoff, her score is more than 227 is 0.4404.
Step-by-step explanation:
We are given that Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13.
<em>Let, X = scores over that period of time</em>
X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= average score
= standard deviation
So, probability that in a one-game playoff, her score is more than 227 is given by = P(X > 227)
P(X > 227) = P(
<
) = P(Z > 0.15) = 1 - P(Z
0.15)
= 1 - 0.55962 = 0.4404
Therefore, probability that in a one-game playoff, her score is more than 227 is 0.4404.
19 divided by 27 is about 0.7, or 0.704 if you need a really exact answer.
The average rate of change between week 4 and week 12 would be + $0.75 per week.
Hope this helps!