The volume of a pyramid is 1/3 the volume of a prism with the same area and height.
Volume of the pyramid would be 18/3 = 6 in^3
First, i would look at the word sum. what does it mean by sum? the sum of two numbers is what? I think of it as sum=its an addition problem and the sum is what those two numbers added together equal. For example the sum of one and two is thee.
Lets say Matt's number is x.
So we got three numbers here; x, 7.5 and 38.2.
how about i simplyfy; "the sum of his number and 7.5 is 38.2"
What it is saying is that...
x and 7.5's sum is 38.2
if sum means it is an addition problem and 38.2 is the answer to this addition problem between 7.5 and x, even though you want to find x... then if you know this, your neext step is to translate this into an equation.
x plus 7.5 equals 38.2
x+7.5=38.2.
when it is an equation, you must subtract 7.5 by both sides. so it would be x=38.2-7.5
38.2-7.5 is... 30.7
that means x, Matt's number, is 30.7.
to do some these kinds of problems, you have to translate the sentences into an equation.
when it says the word product it is a multiplication problem
when a number is decreased, it is less than the original amount. so you are subtracting from the original number. so it would be "the number minus lets say 2 is equal to lets say four." that would mean the number is 6. x-2=4 is the equation.
I hope this helped out... I don't have the time to explain everything... this info may help...
Answer:
The proportion of children that have an index of at least 110 is 0.0478.
Step-by-step explanation:
The given distribution has a mean of 90 and a standard deviation of 12.
Therefore mean, 
= 90 and standard deviation, 
= 12.
It is given to find the proportion of children having an index of at least 110.
We can take the variable to be analysed to be x = 110.
Therefore we have to find p(x < 110), which is left tailed.
Using the formula for z which is p( Z < 
) we get p(Z < 
= 1.67).
So we have to find p(Z ≥ 1.67) = 1 - p(Z < 1.67)
Using the Z - table we can calculate p(Z < 1.67) = 0.9522.
Therefore p(Z ≥ 1.67) = 1 - 0.9522 = 0.0478
Therefore the proportion of children that have an index of at least 110 is 0.0478
Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
