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koban [17]
3 years ago
11

Amber has a $100 Gift Card to her favorite Coffee Shop. Each time she visits the Coffee Shop, she will use the gift card to purc

hase a $5.00 daily coffee.
Mathematics
1 answer:
AlladinOne [14]3 years ago
5 0

Complete question is;

Amber has a $100 Gift Card to her favorite Coffee Shop. Each time she visits the Coffee Shop, she will use the gift card to purchase a $5.00 daily coffee.

What is the maximum number of daily coffee she can buy with the gift card?

Answer:

20 daily coffee

Step-by-step explanation:

We are told that she has a $100 Gift Card to her favorite Coffee Shop.

Also that she will use the gift card to purchase a $5.00 daily coffee.

Thus means that she spends $5.00 daily from the gift card.

Thus; to find maximum number of daily coffee will be;

Max daily coffee = Total gift card/daily gift card = 100/5 = 20

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olga_2 [115]

Answer:The equation of a line is written as ​y=mx​+​b​, where the constant ​m​ is the slope of the line, and the ​b​ is the ​y​-intercept.

Step-by-step explanation:

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2 years ago
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

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

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

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
3 years ago
Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)
Lelechka [254]

Answer:

y = - \frac{1}{3} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - \frac{1}{3} x + 8 ← equation of perpendicular line

6 0
3 years ago
What is the axis of symmetry gor Graph A​
Lady_Fox [76]

Answer:

X=-2

Step-by-step explanation:

The axis of symmetry for any parabola is the x value of the vertex. Dividing the parabola along the vertex will always yield two symmetric halves.

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4 years ago
How does writing an equation help you solve a problem ?
AlekseyPX
It makes everything clear from a mathematical point , much easier to solve the question in equation form than trying to figure it out from a long word problem
3 0
3 years ago
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