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Marat540 [252]
3 years ago
14

your total savings varies inversely with the amount spent on Bill's. if your savings is $300 when your cost of Bill's are $65. W

hat would your savings be when your cost of Bills is $145.
Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0
Let S and B be savings and bills respectively. Then,
S α 1/B
S = k/B Where k = Constant.
When S = $300, B = 65

Then,
300 = k/65
k = 300*65 = 19500

Therefore,
For B = $145,

S= 19500/145 = $134.48
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christen has to run around the rectangle soccer field during practice. The soccer field measures 60 meters long by 45 meters wid
Elena L [17]

Answer:

210 m

Step-by-step explanation:

Perimeter is the distance around the outside of a two-dimensional shape.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

Christen ran around the soccer field, so she ran around the perimeter.

We can find the perimeter by adding all of the side lengths.

Perimeter=60 m+45 m+60 m+45 m

Christen ran 210m.

7 0
3 years ago
Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form
liberstina [14]

The standard form of a line:

Ax+By=C

We have the equation of a line in the slope-point form:

y-3=\dfrac{1}{2}(x+6)      use distributive property

y-3=\dfrac{1}{2}x+3       add 3 to both sides

y=\dfrac{1}{2}x+6        multiply both sides by 2

2y=x+12       subtract x from both sides

-x+2y=12      change the signs

x-2y=-12

4 0
3 years ago
What is the area of the shaded sector of the circle?
oee [108]

Answer:

area if sector= teeta. ×πr²

360

<u>120</u>°. ×<u>2</u><u>2</u>×9×9

360. 7

<u>3×1782</u>

7

5346

5 0
3 years ago
Find the volume of the figure. Round your final answer to the
alukav5142 [94]

Answer:

377.62 m³

Step-by-step explanation:

V = 16 × 3.95 × 8 - 8 × 3.95 × (8 - 3.95)

V = 377.62

7 0
2 years ago
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of
rewona [7]

Answer:

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

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}.

Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.

333 - 257 = 76 have spills.

This means that n = 333, \pi = \frac{76}{333} = 0.228

80% confidence level

So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 - 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.199

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 + 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.257

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

6 0
3 years ago
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