Answer:
Step-by-step explanation:
We need to use the formula to calculate the probability of (A or B) where
A=Probability a student likes pepperoni
B=Probability a student likes olive
A and B =Probability a student likes both toppings in a pizza
A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or
The formula is
Since 6 students like pepperoni out of 9:
Since 4 students like olive out of 9:
Since 3 students like both toppings out of 9
Then we have
Answer:
55 ≤ x ≤100
Step-by-step explanation:
Given the battery life equation: y = -10x +100 where x is hours driving
As we know that the maximum value of y = 100% when x= 0
<=> y ≤100
They are driving from Dallas to San Antonio which is a 4.5-hour drive.
=> x = 4.5 so we substitute x into the equation, we have:
y = -10*4.5 +100
<=> y = -45 + 100 = 55
Hence, the range of this situation is:
55 ≤ x ≤100
Hope it will find you well.
Answer:
44. answer = a. (<)
45. answer = b. (>)
Step-by-step explanation:
To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.
So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:
10 / sin(mQRW) = 17 / sin(mRWQ)
sin(mQRW) / sin(mRWQ) = 10 / 17
The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)
In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:
15 / sin(mRTW) = 8 / sin(mTWR)
sin(mRTW) / sin(mTWR) = 15 / 8
If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)
Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.
These are a lot easier when they r like this...no coefficient in front of ur x^2.
x^2 + 5x - 14....u see ur last sign, the -.....this tells me that in ur 2 factors, both signs will be different....one is positive and one is negative. U see ur first sign, the +, this tells me that ur bigger number will be positive.
Now we just have to find 2 numbers, that when added = 5 and when multiplied = 14, So ur 2 numbers are 7 and 2.
(x^2 + 5x - 14) =
(x + 7)(x - 2) <===
Answer:
Step-by-step explanation:
