Let <em>X</em> be a random number selected from the interval. Then the probability density for the random variable <em>X</em> is
8 and 10 are the only even integers that fit the given criterion (6 is more than 0.25 away from 6.35), so that we're looking to compute
P(|<em>X</em> - 8| < 0.25) + P(|<em>X</em> - 10| < 0.25)
… = P(7.75 < <em>X</em> < 8.25) + P(9.75 < <em>X</em> < 10.25)
… = P(7.75 < <em>X</em> < 8.25) + P(9.75 < <em>X</em> < 10)
(since P(<em>X</em> > 10) = 0)
… = 0.2740 (8.25 - 7.75) + 0.2740 (10 - 9.75)
… = 0.2055
Answer:
Equation: 4 1/4 + 1 3/4
Evaluation: 5 3/4
Step-by-step explanation:
So, Nora jobs 4 1/4 miles on Monday, which is 1 1/2 miles fewer than on Tuesday.
If this was 1.5 fewer miles, we need to add 1 1/2 and 4 1/4 to get our answer
We change the denominator on 1 1/2 to be 4. So, we multiply both sides by 2 and get 1 2/4
4 1/4 + 1 2/4 = 5 3/4
0.9(x + 1.4) - 2.3 + 0.1x = 1.6
0.9x + 1.26 - 2.3 + 0.1x = 1.6
x - 1.04 = 1.6
x = 1.6 + 1.04 = 2.64
x = 2.64
A) f(x) is decreasing because the base is less than 1.
0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.
g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.
B ) The y-intercept is where x=0.
Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
f(x) = 3 , g(x) = 6
C) Just plug in x=4 to each function in a calculator.
f(4) = 0.295
g(4) = 1536
Answer:2
Step-by-step explanation:
