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4 years ago

Which is a equation of the line containing (1,-3)and(7,15)?

Mathematics

1 answer:

-BARSIC- [3]4 years ago

6 0

Slope = 18/6 = 3
Y-intercept = -6
Equation: y = 3x -6

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According to the Rational Root Theorem, which number is a potential root of f(x) = 9x^8 + 9x^6 – 12x + 7?

Alex

+-(1,7)/+-(1,3,9) are the combinations of f(x)

8 0

3 years ago

Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c

nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = \frac{81}{130} = 0.6231$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when $M = 0.04$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}$

$\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}$

$n = 563.8$

Rounding up

We need a sample size of 564.

4 0

3 years ago

A line passes through (2, −1) and (4, 5).

liberstina [14]

The answer to the first question is B
The second question is B

7 0

3 years ago

Read 2 more answers

A pentigonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed ?

Sholpan [36]

Answer:

In a right pentagonal prism, the bases are pentagons and the lateral faces are rectangles. If we take a cross-section perpendicular to the base, this same cross-section will be parallel to the lateral faces. This means it will be the same shape as the lateral faces, which is a rectangle.

Step-by-step explanation:

5 0

3 years ago

Andy has $261.81 left in his bank account after buying a tennis racquet and a can of tennis balls. The racquet cost $76.58 and t

marta [7]

Answer:

B. $352.00

Step-by-step explanation:

76.58+13.61=90.19

261.81+90.19=352

Answer: $352

7 0

3 years ago