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NikAS [45]
3 years ago
14

which is an algebraic equation that represent s the following word problem that shows how many bonus points , s, Samantha earned

: Athena earned 15 bonus points. samantha earned b more bonus points than athena. show how you got that answer.
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0
A = 15 a = athena, s = samantha, b = bonus points
s = b + a


s = b + 15
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IRINA_888 [86]
Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
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2 years ago
Sherry is driving 390 miles to visit The gateway arch in St. Louis. She drives at an average rate of 65 miles per hour. Explain
grandymaker [24]

Answer:

t = 6 s

Step-by-step explanation:

Given that,

Sherry is driving 390 miles to visit The gateway arch in St. Louis.

She drives at an average rate of 65 miles per hour.

We need to find the amount of time it will take Sherry to get to the arch. Let the time is t.

Speed = distance/time

t=\dfrac{d}{v}\\\\t=\dfrac{390}{65}\\\\t=6\ h

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3 years ago
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For number 19.

The equation you get is:

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3 years ago
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daser333 [38]

Answer:

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b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

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}.

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This means that n = 1664, \pi = \frac{939}{1664} = 0.5643

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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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588

The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

8 0
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blagie [28]

Answer:

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Step-by-step explanation:

Divide Jupiter`s diameter by 3 which is 29,578.66 miles rounded up is 29,579 miles

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