The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
<span>1/5
This is a matter of elimination. So let's figure out how many of each display there is.
30% of 150 = 0.30 * 150 = 45 displays about electricity.
2/5 * 150 = 0.40 * 150 = 60 displays about renewable energy
1/10 * 150 = 150/10 = 15 displays about gas.
The rest of the displays are about nuclear power. So
150 - 45 - 60 - 15 = 30 displays about nuclear power. Since we want a fraction, we get 30/150
But 30/150 isn't in it's simplest form. The largest number that will evenly divide both 30 and 150 is 30. So divide both the numerator and denominator by 30
(30/30)/(150/30) = 1/5
So 1/5 of the displays are about nuclear power.</span>
Answer:
B.) This is not a binomial experiment, because the number of trials is not fixed.
Step-by-step explanation:
For a certain experiment to be classed as a binomial, it has to meet some criteria ;
Which include ;
1.) The trials should be independent.
11.) Each trial should be classifiable into one of success of failure.
111). There is a fixed mean probability for success and failure
IV) There is a fixed number of trials, in experiment described above, the number of trials isn't fixed, it is variable, as the trial will continue until a defective item is obtained.
-.833...., -5.09..., -5.166.... so the order is the exact order you have it in in the question. I just converted it all to decimals because it's easier.
I got you sis :)
3+y/4=-y/8
Multiply thru by 8 to get:
24 + 2y = -y
3y = -24
y = -8
