Is the given answer a reasonable solution to the problem ? 7.92 • 10.21= 88.8632

A summer camp cookout is planned for the campers and their families. There is room for 525 people. Each adult costs $9, and each

vodomira [7]

Answer:

The System of Inequalities in this real-world scenario is:

x+y < = 525

9x+5y < = 1200

Step-by-step explanation:

In this question we are asked to to write a system of inequalities, thus a system of relating two variables, where the relationship will be of the form either greater > or less < or equal.

Given Information:

→ Maximum number possible in the summer camp: 525

→ People attending are Adults (lets call them $x$ and Campers (lets call them $y$ )

→ Ticket Cost for Adults is $9

→ Ticket Cost for Campers is $5

→ Maximum budget available for both Adults and Campers is $1200

From these information we can obtain 2 Inequalities to define our system of equation.

The first inequality will be with respect to the Maximum Number of People possible which reads as:

$x+y\leq 525$ [sum of adults and campers should be less or equal to maximum number of people possible]

The second will be with respect to the Maximum Budget available which reads as:

$9x+5y\leq 1200$ [sum of the cost per ticket for adults and campers should be less or equal to maximum budget available]

Thus the System of Inequalities in this real-world scenario is:

$x+y\leq 525\\9x+5y\leq 1200$

Which if solved can give us the values for $x$ and $y$ , thus the number of adults and numbe of campers attedning the summer camp.

5 0

4 years ago

9. A retaining wall on the playground is

soldi70 [24.7K]

Dghfjgjghcjjfjfjgjgjcjxjxjf

6 0

3 years ago

The population of DeSoto rose an

Vanyuwa [196]

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to make an interpretation

From the question, we have that initially when the count was started, there were 5,428 people; this means that the initial value of the data is 5,428

For the rate of change, we have that there is an average increase of 142 people for each of 5 years;

That means per 5 years, there is an increase of 142 people and this is what represents the rate of change

4 0

3 years ago

Describe two methods that can be used to find the area of the composite figure.

vekshin1

You can draw a line to make a square and a rectangle to help find the area. The other method would be to form 2 squares and 1 rectangle.

This is probably wrong but I hope it helps!

4 0

3 years ago

Read 2 more answers

An investment website can tell what devices are used to access the site. The site managers wonder whether they should enhance th

scZoUnD [109]

Answer:

a) 0.047

b) 50% probability that the sample proportion of smart phone users is greater than 0.33.

c) 33.39% probability that the sample proportion is between 0.19 and 0.31

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

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 $s = \sqrt{\frac{p(1-p)}{n}}$