Answer:
A gasoline tank for a certain car is designed to hold 14.0 gal of gas.
a)What is the probability that a randomly selected tank will hold at most 13.7 gal?
We are supposed to find 
Refer the z table for p value
p value = 0.0668
So, 
The probability that a randomly selected tank will hold at most 13.7 gal is 0.0668
b)What is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?
We are supposed to find 
P(x<13.4)=P(z<-3)= 0.0013
P(x<14.3)= 0.9332
The probability that a randomly selected tank will hold between 13.4 and 14.3 gal is 0.9319
(c) If two such tanks are independently selected, what is the probability that both hold at most 14 gal?
We are supposed to find 
Refer the z table for p value
p value = 0.5
So, 
Two such tanks are independently selected, the probability that both hold at most 14 gal = 0.5 * 0.5 = 0.25
Hence If two such tanks are independently selected, the probability that both hold at most 14 gal is 0.25
Answer:
The factors of x² - 3·x - 18, are;
(x - 6), (x + 3)
Step-by-step explanation:
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
-6 + 3 = -3
-6 × 3 = -18
Therefore, we can write;
x² - 3·x - 18 = (x - 6) × (x + 3)
Which gives;
(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18
Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)
Cosine 65 = 12 / x
0.4226183 = 12 / x
x = 12 / 0.4226183
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x = 28.39441</span></span></span>
So, I'd say you are correct.
The sum of the first four composite numbers is 27. ( 4+6+8=9)
Answer:
Step-by-step explanation:
If the upper triangle has a right angle at Island C, we need only use the Pythagorean Theorem to find x:
(10 mi)^2 + (20 mi)^2 = x^2, so that
x^2 = 100 mi^2 + 400 mi^2 = 500 mi^2, which reduces to
x = +10√5 mi
Note that the shortest side (10 mi) is adjacent to a 30 degree angle. Thus, the upper triangle is a 30-60-90 triangle, meaning that the Pythagorean Theorem DOES apply here.
Next time, please incude ALL of the verbal instructions. Thank you.
