Answer:
2+2-1
Step-by-step explanation:
Answer: the interval of heights that represents the middle 95% of male heights from this school is between 66 inches and 76 inches.
Step-by-step explanation:
Let x be a random variable representing the heights of males from this school. With the mean and standard deviation given, then the Empirical Rule says the that
1) About 68% of the x values lie between 1 standard deviation below and above the mean.
2) About 95% of the x values lie between 2 standard deviations below and above the mean.
3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.
From the information given,
mean = 71 inches
Standard deviation = 2.5 inches
We want to determine where 95% of x values lies. This is 2 standard deviations from the mean Therefore,
2 standard deviations = 2 × 2.5 = 5 inches
The heights are
71 - 5 = 66 inches and
71 + 5 = 76 inches
Answer:
40 years and 20 years
Step-by-step explanation:
Let the father's age be y and son's age x
Father is currently twice son's age i.e 2x
16 years ago, the son was (x-16) years old
the father was (y-16) or (2x-16) years old.........(i)
The second sentence states that the father was 6 times his sons age 16 years ago i.e 6(x-16)yrs old.............(ii)
Equating (i) to (II) gives 2x-16 = 6(x-16)
2x-16 = 6x-96
Collecting like terms, 96-16 = 6x-2x, 80 = 4x, x = 20
Therefore, son's age is 20years and fathers age is twice son's age = 40 years
Answer:
Okay, so. What I'd do is this.
Then I'd combine like terms.
So:
Once you've got 6x, you subtract 6 from 180.
Now all that's left to do is divide each side by 6 to get x.
X should be 29.
Step-by-step explanation:
You know that adding the equations will give you 180 because you know they're supplementary.
Answer:
25π
Step-by-step explanation:
area of a circle π(r²)
diameter = 2r so we half the given diameter
radius = 5ft
5² = 25
so the answer is 25π
