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Colt1911 [192]
2 years ago
8

My school is planning a field trip and over and buses and vans for the trip each bus carries up to 60 students requires for chap

erones and cost $1000 to charter a bank turns up to 10 students requires two chaperones and cost $100 for gas at least 300 students plan to attend and 36 parents offered to chaperone find the number vans and buses the school should rent to minimize the cost
Mathematics
1 answer:
diamong [38]2 years ago
8 0
There should end up being 5 buses
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The revenue of a company that makes backpacks is given by the formula R = 34.S0x, where x represents the number of backpacks sol
alexgriva [62]

Answer:

Revenue = 1380

Step-by-step explanation:

Given:

Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.

Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.

The revenue received from selling 'x' backpacks is given as:

R=34.50x

Number of backpacks sold (x) = 40

Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.

On plugging 40 for 'x', we get:

R=34.50\times 40\\\\R=1380

Therefore, the revenue received by the company on selling 40 backpacks is 1380.

8 0
3 years ago
Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28

We can now calculate the probabilities:

P(0.47

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2

We can now calculate the probabilities:

P(0.47

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0
2 years ago
Match the number set or type of number with the correct category
beks73 [17]

An integer is a rational number; 1/2 is a rational ratio with a denominator of 1; 0.4545 is a rational decimal; 0.44 is a irrational decimal and 0 is a rational whole numbers.

<h3>What is the difference between a rational and a irrational number?</h3>

The category irrational number can be applied to numbers that cannot be expresses as ratios or fractions. This includes decimals that do not terminate and are not repeating such as 0.44454...

<h3>On the other hand, rational numbers will include different types of numbers such as:</h3>

Integers: This refers to numbers that are not expressed as fractions.

Rational decimals: This includes repeating decimals such as 0.4545...

Rational ratios: This includes numbers such as 1/2 or 1/4.

Rational whole numbers such as 0,1,2, etc.

Learn more about rational numbers in: brainly.com/question/17450097

#SPJ1

6 0
2 years ago
Several students decide to start a T-shirt company after initial expenses of $280 they purchase each T-shirt wholesale for $3.99
JulsSmile [24]
10.99x = 3.99x + 280
7x = 280
x = 40
They must sell 40 T-shirts to break even
4 0
3 years ago
Read 2 more answers
If we play a game where I start with 2 dollars and you start with one dollar, and I have a probability of 1/3 of winning a dolla
Vadim26 [7]

Answer:

1/3 or 0.33

Step-by-step explanation:

Hope it helps

LMK if it does and weather it is wrong or right

8 0
3 years ago
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