It’s 180-135 which equals 45 so it is 45 degrees for X
First we have to find p(AnB)
P(A/B)=p(AnB)/p(A)
P(AnB)=p(A) x p(A/B)
P(AnB)=0.5 x 0.4 = 0.2
Then to find p(B)
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 0.5+p(B)-0.2
0.6=0.3+p(B)
P(B)=0.6-0.3=0.3
Answer:
It's the second answer
Step-by-step explanation:
A(7,5) B(-4,-1)
y-yA/yB-yA= x-xA/xB-xA
y-5/-1-5=x-7/-4-7
-11y+55=-6x+42
-11y=-6x-13
y=6/11×+13/11
Answer:
2 teaspoons of cinnamon 2 teaspoons of nutmeg and 2 teaspoons of allspice. which would be 6
Step-by-step explanation:
Part 1:
Given that a<span>
store had 235 MP3 players in the month of January and that every month, 30% of
the MP3 players were sold and 50 new MP3 players were stocked in the
store.
</span>The number of MP3 players in the store after the previous months sale is given by 0.7f(n - 1) and <span>the number of MP3 players in the store after new MP3 were added is 0.7f(n - 1) + 50.
Therefore, the </span><span>recursive function that best represents the number of MP3 players in the store f(n) after n months is given by </span><span>f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
Part 2:
The average rate of change of a function from a to b is given by

Given that the </span><span>equation showing the value of her investment after x years is given by

Thus, </span><span>the average rate of change of the value of Sophia's investment from the second year to the fourth year is given by

Therefore, the </span><span>average rate of change of the value of Sophia's investment from the second year to the fourth year is 28.25 dollars per year.</span>