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Eva8 [605]
4 years ago
15

A boat cost $11,800 and decreases in value by 10% per year. How much will the boat be worth after 8 years?

Mathematics
1 answer:
Brilliant_brown [7]4 years ago
5 0
10%= .10
.10(11,800)= 1,180
1,180(8)= 9,440
11,800- 9,440= 2,360
= $2,360

I hope this helped.
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Assume that a computer was used to generate the given confidence interval for the population mean. Find the sample mean or margi
stealth61 [152]

Answer:

The sample mean is

b.3.55

The margin of error is

0.32

Step-by-step explanation:

Deep explanation about a confidence interval

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*215 = 353.675

The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

In our interval

Lower end: 3.23

Upper end: 3.87

Sample mean

M = \frac{3.23 + 3.87}{2} = 3.55

So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

4 0
3 years ago
Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the larges
andrew11 [14]

Answer:

your answer would be 190 all u do is add

Step-by-step explanation:


7 0
4 years ago
You buy a storage case that holds 170 collectible die-cast cars. You have 137 die-cast cars. Write an inequality that describes
Murljashka [212]

Answer:

137 + x <= 170

Step-by-step explanation:

The following inequality will describe this scenario.

137 + x <= 170

the variable x in this scenario represents the total number of cars that you will purchase. This number is added to the number of toy cars that you already own which is 137. As long as this sum is less than or equal to 170 then your storage case will hold them.

4 0
3 years ago
Write a two column proof
atroni [7]

Answer:

Step-by-step explanation:

Given:

TU ≅ WU

∠T ≅ ∠W

To Prove:

\overline{TS} \cong \overline{WV}

Proof:

In  Δ TUS and Δ  WUV

STATEMENT                                                 REASON

1. TU ≅ WU                                     1. Given

2. ∠T ≅ ∠W                                    2. Given

3.∠TUS ≅ ∠WUV                           3. Vertically Opposite Angles are equal

4. ΔTUS  ≅ ΔWUV                         4. Angle-Side-Angle congruence test.

5. ∴ TS ≅  WV                                 5. Corresponding parts of congruent triangles.

\overline{TS} \cong \overline{WV}.......Proved

3 0
3 years ago
Use distributive property to simply 2(4+9w)
valina [46]

Answer: 8+18W

Step-by-step explanation:

1. First multiply the 4 by 2, equalling 8.

2. Then multiply the 9W by 2, equalling 18W.

3. 8 and 18W are unlike terms, so they can not be added together.

4. The answer would stay as 8+18W.

5 0
3 years ago
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