Answer:


And the best option would be:
D. (0.191 to 0.249)
Step-by-step explanation:
For this case we know that the mean is:

And the standard error is given by:

We want to construct a 68% confidence interval so then the significance level would be :
and
. The confidence interval is given by:

Now we can find the critical value using the normal standard distribution and we got looking for a quantile who accumulate 0.16 of the area on each tail and we got:

And replacing we got:


And the best option would be:
D. (0.191 to 0.249)
Answer:
The probability that the pebble will NOT land on color blue is 0.67.
Step-by-step explanation:
We attribute the box area as the probability of the events.
So the probability of landing in the Red Area is 1/6, the probability of landing in the Blue Area is 1/3 and the probability of landing in the Yellow Area is 1/2.
P(Red)=
P(Yellow)=
P(Blue)=
The probability of landing in NOT Blue area is given by:
P(Not Blue)=1-P(Blue)=
Answer:
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
Step-by-step explanation:
We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.
Chebyshev Theorem
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
Applying the Theorem
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
Answer: 63.59cm²
Step-by-step explanation:
The area covered by the pitch will be gotten by finding the value of the area of the circle and this will be:
Area of q circle = πr²
where,
π = 3.14
r = radius = diameter/2 = 9cm/2 = 4.5cm
Area = πr² = 3.14 × 4.5²
= 3.14 × 20.25
= 63.59cm²
Therefore, the area covered by the pitch is 63.59cm²
Step-by-step explanation:
x/4+3y^2
=8÷4 + 3×3^2
=2+9^2
=2+81
=83