Answer:
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
Substitute
A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square
1 answer:
You might be interested in
To find our quotient we are going to perform long division.
Long division step by step:
Step 1. Write the polynomial (dividend) in descending order (from highest to least exponent). If you encounter a missing term, use zero to fill the space of the term in the descending sequence.
Notice that even tough our polynomial is written in descending form, is missing, so we are going to use
to fill the gap:
Step 2. Divide the first term of the polynomial (dividend) by the first term of the divisor.
In our case the first term of the dividend is and the first term of the divisor is
, so
. Notice that
is the first term of the quotient.
Step 3. Multiply the first term of the quotient by the terms of the divisor and subtract them from the respective term of the dividend.
The first term of our quotient (from the previous step) is and the divisor is
, so
. Now, we are going to subtract them from the respective term (the term with the same power) of the dividend. The respective terms of the dividend are
and
, so
and
Step 4. Bring down the next term in the dividend and repeat the process for the remaining terms.
After finish the process (check the attached picture), we can conclude that the quotient of ÷
is
with a remainder of
, or in a different notation:
Answer:
a) Mean = 1030; Standard deviation = 12.38.
b) The county result is unusually high.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
(a) Find the mean and standard deviation for the number of high school graduates in groups of 1210 Americans over the age of 25.
This first question is a binomial propability distribution.
We have a sample of 1210 Amricans, so .
The mean of the sample is 1030.
The probability of a success is .
The standard deviation of the sample is
(b) Is that county result of 1030 unusually high, or low, or neither?
The first step is find the zscore when .
Then we find the pvalue of this zscore.
If this pvalue is bigger than 0.95, the county result is unusually high.
If this pvalue is smaller than 0.05, the county result is unusually low.
Otherwise, it is neither.
The national mean is 82%. So,
has a pvalue of 0.9989.This means that the county result is unusually high.