Ask question

Ask question

All categories

3 years ago

6

Marlin Davies buys a truck for $28,000. In three years, the truck depreciates 48% in value. How much is the truck worth in three

years

2 answers:

harkovskaia [24]3 years ago

5 0

In three years the Marlin's truck is worth 13,440$

To find percentage of a number, multiple it with in 0. Of the number.

Example: 28,000 ×. 48

That equals 13,440

So 48% of 28,000 is 13,440

Crank3 years ago

5 0

Answer:

Step-by-step explanation. 28,000✖️.48=13,440 but then u will I have to erase that out and Subtract 13,44 - 28,000=14,560

You might be interested in

The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code read

Bond [772]

Answer:

$(a)\ \bar x =20.5$

$(b)\ \sigma = 14.54$

Step-by-step explanation:

Given

$x: 36, 14, 21, 39, 11, 2$

Solving (a): The mean of the 6 samples.

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x =\frac{36+ 14+ 21+ 39+ 11+ 2}{6}$

$\bar x =\frac{123}{6}$

$\bar x =20.5$

Solving (b): The sample standard deviation.

This is calculated using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

So, we have:

$\sigma = \sqrt{\frac{(36 - 20.5)^2 + (14 - 20.5)^2 + (21 - 20.5)^2 + (39 - 20.5)^2 + (11 - 20.5)^2 + (2 - 20.5)^2}{6-1}}$

$\sigma = \sqrt{\frac{1057.5}{5}}$

$\sigma = \sqrt{211.5}$

$\sigma = 14.54$

7 0

3 years ago

Which inequality best represents the situation? A bamboo stalk grows at a rate of 3 centimeters per day. Lisa plants a 9-centime

pav-90 [236]

Let x represent the days it will take for the stalk to be at least 300 cm tall

3x+9≥300
3x≥291
x≥97

8 0

3 years ago

What is the perimeter of rectangle that has a width of 11 and a length of 25?

devlian [24]

Perimeter = 2l + 2w

w = 11

l = 25

2 * 25 = 50

2 * 11 = 22

22 + 50 = 72

The perimeter is 72.

5 0

3 years ago

Which expression is the right expression?

Juli2301 [7.4K]

D, you have to factor 3 out of 6x squared

5 0

4 years ago

A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the

hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that $p = 0.08$

Sample of 595:

This means that $n = 595$

Mean and standard deviation:

$\mu = p = 0.08$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111$

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.05 - 0.08}{0.0111}$

$Z = -2.7$

$Z = -2.7$ has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0

3 years ago