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FrozenT [24]
2 years ago
7

1:2=3: Find the mising number

Mathematics
2 answers:
Marizza181 [45]2 years ago
6 0
1:2 = 3:6

The second number is double the first.
Yuki888 [10]2 years ago
4 0
The answer is
1:2=3:
6
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A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi
Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

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 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 the sum of n values of a distribution, the mean is \mu \times n and the standard deviation is \sigma\sqrt{n}

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that \mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

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

Z = \frac{20000 - 20000}{300}

Z = 0

Z = 0 has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0
3 years ago
Gavin borrowed $250 from his parents to buy a new mp3 player. Each week he pays his parents back $10. The function, m(w) = 250 –
Kryger [21]

Answer:

m=25

Step-by-step explanation:

You want to divide 250 by 10 to find the number of weeks it would take him to pay back his parents. which would be 25. It would take Gavin 25 weeks to pay his parents back. m(w)=0 just is telling you the worth of that part of the equation.

7 0
3 years ago
a company manufactures rectangular cardboard boxes. each box is 20 inches long and 15 inches wide. the heights of the boxes rang
Bogdan [553]

The range of possible values for the volume of the boxes would be 1200 - 1800 cubic inches

The dimensions of the rectangular cardboard boxes are given as

Case I

Length = 20 inches

breadth = 15 inches

Height = 4 inches

Volume of the rectangular cardboard box in case I = Length x breadth x breadth

= 20 x 15 x 4

= 1200 cubic inches

Similarly,

Case II

Length = 20 inches

breadth = 15 inches

Height = 6 inches

Volume of the rectangular cardboard box in case I = Length x breadth x breadth

= 20 x 15 x 6

= 1800 cubic inches

To learn more about volume, here

brainly.com/question/1578538

#SPJ4

4 0
1 year ago
X + 3 = 15 what is the answer
timurjin [86]
12 is the answer to the question 


3 0
3 years ago
Read 2 more answers
The table shows the relationship of how many pounds of apples are needed to make a certain number of pies: Number of Pies 5 10 1
Shkiper50 [21]
8 pounds of apples are needed.

If this helped and you have any other questions, feel free to comment on my wall. Hope this helped.
4 0
2 years ago
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