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2 years ago

5

A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if cardboard costs $0.05 pe

r 100 square centimeters, what is the least cost to make 100 boxs

1 answer:

Evgen [1.6K]2 years ago

8 0

Answer:

The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.

Step-by-step explanation:

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Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 303030 meters below the edg

Alex

Answer:

5m/s;

6 seconds

Step-by-step explanation:

Given the following :

Initial position = 30 m below

He climbed at a constant rate, and was 7.5 m below after 4.5 s.

Distance climbed or covered in 4.5 seconds :

(Initial position - current position)

(30 - 7. 5)m = 22.5 meters

Using the relation:

Speed = distance covered / time taken

Therefore,

Shota's speed = 22.5m / 4.5s = 5m/s

Time taken to reach edge of volcano :

Distance left to cover = 7.5m

Speed = 5m/s

Time required to cover remaining distance :

= distance / speed

= (7.5m ÷ 5m/s) = 1.5s

Total time to reach edge :

(4.5 + 1.5)s = 6 seconds

6 0

2 years ago

You travel 5 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 6 miles upstream at a speed

Vlad1618 [11]

Kyle, d = rt, right? This means that t = d/r. If we call the rate of the current c, then her rate upstream is hindered by the current and is 3 - c. Downstream is 3 + c. The total time is 6 hours... 5/(3 - c) + 5/(3 + c) = 6 Once we put everything over the same denominator, we don't need it anymore. 5(3 + c) + 5(3 - c) = 6(3 - c)(3 + c) 15 + 5c + 15 - 5c = 54 - 6c2
30 = 54 - 6c26c2 = 24c2 = 4c = 2 2 mph

3 0

2 years ago

A hospital finds that 22% of its accounts are at least 1 month in arrears. A random sample of 425 accounts was taken. What is th

GenaCL600 [577]

Answer:

8.85% probability that fewer than 82 accounts in the sample were at least 1 month in arrears

Step-by-step explanation:

For each account, there are only two possible outcomes. Either they are at least 1 month in arrears, or they are not. The probability of an account being at least 1 month in arrears is independent from other accounts. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.22, n = 425$

So

$\mu = E(X) = np = 425*0.22 = 93.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{425*0.22*0.78} = 8.54$

What is the probability that fewer than 82 accounts in the sample were at least 1 month in arrears

This probability is the pvalue of Z when X = 82. So

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

$Z = \frac{82 - 93.5}{8.54}$

$Z = -1.35$

$Z = -1.35$ has a pvalue of 0.0885.

8.85% probability that fewer than 82 accounts in the sample were at least 1 month in arrears

8 0

2 years ago

9. Liz works at the ballpark selling bottled

Soloha48 [4]

Answer:

10 big and 27 small

Step-by-step explanation:

First do a random amount and move closer to the answer by changing the amount of bottles

110/5=22

3 x 7 = 21

Bottles too little so less big water bottles

50/5=10

81/3=27

37 bottles so Liz sold 10 big bottles and 27 small bottles.

5 0

2 years ago

Max finds the product 3/7 x 6. Which statement is true?

Mariulka [41]

The correct answer is choice B. When you are multiplying anything by a value greater than one, the answer you get will always be bigger than what you started with.

The reason lies with in the concept of multiplication.

If you have more than one group of something, you will have more than what you started with.

3 0

2 years ago