Answer: Yes
Step-by-step explanation:
Given that:
Distance from present location to CheapGas = 4 miles
Price of gas at CheapGas is $0.37 cheaper
Hence, the decision to make a U-turn back to CheapGas or continue on intended destination will rely on two factors ;
1) The number of gallons of gas to purchase
2) The cost of gas required to return to cheap gas.
If a substantial amount of gas is to be purchased, may be 50, 100 or more gallons, the amount saved by making a turn back to cheapGas and purchase gas at $0.37 cheaper per gallon.
Answer:
61,239,550
Step-by-step explanation:
We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;
Pr( X>140)
The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;
The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314
From a population of 6,575,000,000 the number of geniuses would be;
6,575,000,000*0.009314 = 61,239,550
Answer:
Step-by-step explanation:
<u>The correct question is:</u> If the first, second and last term of an AP are a,b and 2a respectively, then show that the sum of all terms of an AP is 3ab/2(b-a).
Firstly, as we know that the nth term of an A.P. is given by the following formula;
, where a = first term of AP, d = common difference, n = number of terms in an AP and = last term
Since it is given that the first, second and last term of an AP are a,b and 2a respectively, that means;
first term = a
d = second term - first term = b - a
= 2a
So,
------------- [equation 1]
Now, the formula for the sum to n terms of an AP when the last term is given to us is;
{using equation 1}
Hence proved.
Answer:
even
Step-by-step explanation:
Answer:
x ≥ y + 2
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50
Step-by-step explanation:
x = width of the car
x+3 = length of the car
y = radius of the car
The width must be at least 2 inches greater than the radius, so:
x ≥ y + 2
The total cost must be no more than $50, so:
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50