Answer:
one A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.
Step-by-step explanation:
Answer:
a)
b)
c)
d)
Step-by-step explanation:
Let X the random variable of interest and we know that the distribution is given by:
And for this problem we can use the cumulative distribution function in order to solve the items:
Part a
We want to find this probability:
Part b
Part c
And we can calculate the probability with this difference:
Part d
Since we have a continuous distribution the the probability for an unique value would be:
Answer: ∠ACB= 60°, ∠DCE= 65°, ∠BCD= 55°
Step-by-step explanation:
1) Since ΔABC is an equilateral, we know ∠ACB= 60°
2) Since we know ΔCDE is an isosceles, we know that ∠DCE= 1/2 (180-50), which is 65°
3) We can add the 2 angles and then subtract them from 180 degrees to get ∠BCD= 55°
Answer: B
Step-by-step explanation: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
24x2+25x−47=(−8x−3)(ax−2)−53
You should then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce on the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.
The final answer is B.