Answer:
Step-by-step explanation:
We are given the function:
And we want to find F(<em>b</em> + 3).
We can substitute:
Expand:
Rearrange:
Combine like terms. Hence:
In conclusion:
Answer:
b = 1/4
Step-by-step explanation:
- Take the given fractions : 3/2 and 7/4 and find a common denominator.
We will use 4 as a common denominator.
- In order for the denominator of 3/2 to get to 4, you need to multiply by 2.
3 × 2 = 6 2 × 2 = 4
<em>Now we have the equation 6/4 + b = 7/4</em>
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Answer:
- 0.26
- 0.91
- 1.43
Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P( > )
P (z > )
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P( < )
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Answer:
94.2 cubic mm
Step-by-step explanation:
The volume for a cylinder is
We can use 3.1415 for pi,
r = 5
h = 1.2
Filling in then:
and
so
Just multiply all those numbers together.
Answer:
d = 10.3
I can also add a step-by-step explanation if you want me to?