Answer:
Step-by-step explanation:
To solve this, we are using the formula for the volume of a rectangular prism:
where
is the width of the base
is the length of the base
is the height of the prism
We know from our problem that the height is 10 inches. The length of the base is 6 inches. The width of the base is 5 inches.
Replacing values
Now, to find 2/3 of that volume, we just need to multiply it by 2/3
We can conclude that 2/3 of the volume of the vase is 200 cubic inches.
For some value of z, the value of the cumulative standardized normal distribution is 0.8340. the value of z is
Answer: We are required to find the value of z corresponding to probability 0.8340.
i.e.,
We can find the value of z using the standard normal table.
Using the standard normal table, we have:
Therefore, for the value of z = 0.97, cumulative standardized normal distribution is 0.8340
Attached here standard normal table for your reference.
Answer:
The value of x is
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc DF
we know that
The inscribed angle measures half that of the arc comprising
so
we have
substitute
step 2
Find the measure of x
we know that
---> is a semi circle
we have
substitute
