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Ymorist [56]
4 years ago
5

The lines shown below are perpendicular. If the green line has a slope of

Mathematics
1 answer:
Serga [27]4 years ago
5 0

Answer:

-1/7

Step-by-step explanation:

This is because a perpendicular lines slope is the opposite reciprocal of the first slope.

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In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To
Klio2033 [76]

Answer: 1.9166

Step-by-step explanation:

Let \mu be the population mean.

By considering the given description, we have

\mu=75

n=20

\overline{x}=78

s=7

Since, the population standard deviation is  unknown , so we use t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e . t=\dfrac{78-75}{\dfrac{7}{\sqrt{20}}}=1.916629695

\approx1.9166  [Rounded to four decimal places.]

Hence, the value of the t-test statistic : 1.9166

4 0
4 years ago
What is the measure of W the parallelogram shown?
nexus9112 [7]

Answer:

148 degrees

Step-by-step explanation:

For a parallelogram, angles on the same side sum up to be 180

what this simply means is that they are supplementary

Mathematically, we have it that;

X + W = 180

W = 180 - X

W = 180 -32

W = 148 degree

6 0
3 years ago
According to the rational root theorem, what are all the potential rational roots of f(x)= 5x^3-7x+11
Tems11 [23]

The rational root theorem states that the rational roots of a polynomial can only be in the form p/q, where p divides the constant term, and q divides the leading term.

In your case, both the leading term 5 and the constant term 11 are primes, so their only divisors are 1 and themselves.

So, the only feasible solutions are

\pm\dfrac{11}{5},\quad\pm 11,\quad \pm\dfrac{1}{5}, \pm 1

For the record, in this case, none of the feasible solutions are actually a root of the polynomial.

8 0
3 years ago
A movie theater has a seating capacity of 201. The theater charges $5.00 for children,
Firlakuza [10]

Answer:

Step-by-step explanation:use claculator it makw it easy

6 0
3 years ago
Write a real-world problem for 5/6 divided by 1/12.
Strike441 [17]
You run 5/6 of a mile in 1/12 of an hour. What's the average speed per hour?
7 0
3 years ago
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