Answer:
20mins
Step-by-step explanation:
3/4 * 60 = 45 mins
1/4 * 60 = 15mins
15mins + 10mins = 25 mins
45 - 25 = 20mins
Answer:
4cm
Step-by-step explanation:
40÷10=4 and each dm is 10 km
Answer:
78
Step-by-step explanation:
112-18-16=78
Answer:
Part 1) The volume of the object is
or 
Part 2) see the procedure
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) What is the volume, in cubic centimeters, of the object?
we know that
The volume of the object is equal to the volume of the cylinder plus the volume of the cone
Find the volume of the cone
The volume of the cone is equal to

we have
-----> the radius is half the diameter

substitute the values

Find the volume of the cylinder
The volume of the cylinder is equal to

we have
-----> the radius is half the diameter

substitute the values

Part 2) Then explain how you found the volume of the total shape
The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone
------> exact value
Find the approximate value of the volume
assume


Answer:
Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.
Step-by-step explanation:
We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.
<u><em>Let </em></u>
<u><em> = sample mean comprehensive strength</em></u>
The z-score probability distribution for sample mean is given by;
Z =
~ N(0,1)
where,
= population mean comprehensive strength = 5500 psi
= standard deviation = 100 psi
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(
> 4985 psi)
P(
> 4985 psi) = P(
>
) = P(Z > -15.45) = P(Z < 15.45)
= <u>0.99999</u>
<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>