What is the median of the data set represented by the dot plot?

Dion owns a delivery service. He charges his customers $15.00 for each delivery. His expenses include $7000 for the motorcycle h

soldi70 [24.7K]

Answer:

p = $15d - (7,000 + 0.84d)

Step-by-step explanation:

In this question, we are asked to given an equation that will represent the profit Dion makes when he has made a total of d deliveries.

We proceed as follows:

To calculate the profit, we need to subtract the cost price from the selling price.

Let’s start with the cost price. This refers to the total amount of money that is used to prepare the goods for sales and also spent on that cause. He charges $0.42 for gasoline per trip. This means it is a total of $0.84 for each delivery. This is because two trips will make a delivery. Total number of money spent on gasoline on deliveries is thus 0.84 * d = 0.84d. Now, we add the cost of Motorcycle he rides to be $7,000. The total money spent is thus $7000 + $0.84d

His selling price is simply the number of deliveries he has made multiplied by the amount of money he charges per trip. This is same as 15 * d= $15d

Profit is thus ; p = $15d - (7,000 + 0.84d)

7 0

4 years ago

Parker throws a ball off the top of a building. The building is 350 feet high and the initial velocity of the ball is 30 feet pe

viva [34]

Answer:

5.707

Step-by-step explanation:

5 0

4 years ago

The amount of time that a 4th grader reads comic books in a week is normally distributed with a mean of 6 hours and a standard d

KATRIN_1 [288]

Answer:

0.9544 = 95.44% probability that the sample mean time for reading comic books per week is between 5 and 7 hours.

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 normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this problem, we have that:

$\mu = 6, \sigma = 2, n = 16, s = \frac{2}{\sqrt{16}} = 0.5$

What is the probability that the sample mean time for reading comic books per week is between 5 and 7 hours

This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 5. So

X = 7

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

By the Central Limit Theorem

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

$Z = \frac{7 - 6}{0.5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 5

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

$Z = \frac{5 - 6}{0.5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the sample mean time for reading comic books per week is between 5 and 7 hours.

6 0

3 years ago

Please help with algebra class I’m struggling

adell [148]

Answer:

Step-by-step explanation:

For what mileages will company A (which has a flat rate of $111) be less than the cost for company B

Company A < Company B

111 < 75 + 0.80m

solving

111 - 75 < 75 - 75 + 0.80m

36 < 0.80m

36/0.80 < 0.80m/0.80

as we are dividing by a positive number, we don't have to change the direction of the < sign.

45 < m

or m > 45

so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent

5 0

3 years ago

-x -7y = 14<br> -4x -14y =28

koban [17]

Given:

$\to \bold{-x -7y = 14}\\\\\to \bold{-4x -14y =28}\\\\$

To find:

$\bold{x \ and \ y}=?$

Solution:

$\to \bold{-x -7y = 14}..................... (i) \\\\\to \bold{-4x -14y =28} .................(ii)\\\\$

Solving the equation (i):

$\to \bold{-x -7y = 14} \\\\ \to \bold{-x= 14+7y} \\\\ \to \bold{x= - (14+7y)} \\\\$

Putting the value of x into the equation (ii):

$\to \bold{-4(-(14+7y)) -14y =28} \\\\\to \bold{4(14+7y) -14y =28} \\\\\to \bold{56+28y -14y =28} \\\\\to \bold{56+14y =28} \\\\\to \bold{28+14y =0} \\\\\to \bold{14y =-28} \\\\\to \bold{y =\frac{-28}{14}} \\\\\to \bold{y =-2} \\\\$

Putting the value of y into the equation (i):

$\to \bold{-x -7(-2) = 14}\\\\\to \bold{-x +14 = 14}\\\\\to \bold{-x = 14-14}\\\\\to \bold{x = 0}\\\\$

So, the value of $\bold{x=0 \ and\ y= -2}\\\\$

Learn more:

brainly.com/question/10151402

7 0

3 years ago