Answer:
the first one : 3/4 ÷ 1/8 = 6
Step-by-step explanation:
remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.
like here
3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6
you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.
the other answer options are simply not true
1/8 ÷ 3/4 = 6
1/8 × 4/3 = 4/24 = 1/6 <> 6
6 ÷ 3/4 = 1/8
6/1 × 4/3 = 24/3 = 8 <> 1/8
6 ÷ 1/8 = 3/4
6/1 × 8/1 = 48 <> 3/4
To check the decay rate, we need to check the variation in y-axis.
Since our interval is
![-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}](https://tex.z-dn.net/?f=-2We%20need%20to%20evaluate%20both%20function%20at%20those%20limits.%3Cp%3E%3C%2Fp%3E%3Cp%3EAt%20x%20%3D%20-2%2C%20we%20have%20a%20value%20of%204%20for%20both%20of%20them%2C%20at%20x%20%3D%200%20we%20have%201%20for%20the%20exponential%20function%20and%200%20to%20the%20quadratic%20function.%20Let%27s%20call%20the%20exponential%20f%28x%29%2C%20and%20the%20quadratic%20g%28x%29.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%5Btex%5D%5Cbegin%7Bgathered%7D%20f%28-2%29%3Dg%28-2%29%3D4%20%5C%5C%20f%280%29%3D1%20%5C%5C%20g%280%29%3D0%20%5Cend%7Bgathered%7D)
To compare the decay rates we need to check the variation on the y-axis of both functions.

Now, we calculate their ratio to find how they compare:

This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
Answer:
43
Step-by-step explanation:
90-47=43
Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is = 
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:

= 
= 
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619
If you do 50 times 4 it’s easier to find 500 times 400 because all you have to do it add 3 more zeros behind 200 making the answer be 200,000.