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BabaBlast [244]
2 years ago
8

Ted bought a fishing pole for $35.99, bait for $12.99, and a pair of shorts for $14.99. He had a coupon for 25% off the shorts o

nly. What was the total cost of Ted’s items before tax?
Mathematics
1 answer:
Marizza181 [45]2 years ago
3 0

Answer:

Ted pays $47.98 before tax

Step-by-step explanation:

What was the cost of the purchases before the coupon

pole + bait+ shorts

35.99 + 12.99+14.99

63.97

If we take 25% off, we still have to pay (100% -25%) or 75%

take the purchases times 75%

63.97 * .75

47.9775

round to the nearest cent

47.98

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A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon
fiasKO [112]

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

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

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value 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}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

8 0
2 years ago
A bag contains 12 discs
trasher [3.6K]

Answer:

If they are both red, 7/22

If both blue, 1/22

Yellow, 1/66

Step-by-step explanation:

7/12 times 6/11 (both decrease by one because there is no replacement)

3/12 times 2/11

2/12 times 1/11

8 0
2 years ago
Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx + b. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points into it. Then, simplify to find the slope, or m:

m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula y-y_1=m(x-x_1) and substitute values for m, x_1, and y_1. From there, we can convert the equation into slope-intercept form.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

y-3=1(x-0)\\y-3 = x\\y = x + 3

8 0
2 years ago
In a statistics class, students were asked how many siblings they have. The mean number of siblings for the class is 3.08 with a
Rom4ik [11]

Answer:

A

Step-by-step explanation:

YEAH BOY

5 0
2 years ago
Write the equation of the line graphed below
zimovet [89]

Answer:

y = 5/8x + 12

Step-by-step explanation:

Slope = change in y/change in x

slope = 5/8

Using y = mx + b find b.

y = 5/8x + b

-2 = 5/8(-4) + b

b = 1/2

y = 5/8x + 12

<em>good luck, i hope this helps :)</em>

3 0
2 years ago
Read 2 more answers
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