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777dan777 [17]
3 years ago
10

I thought of a number, added 26 to it, and then divided the result by 20. What is my number?

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

12?

Step-by-step explanation:

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Simplify one and four sevenths
BlackZzzverrR [31]
It is 11/7 as a fraction
8 0
3 years ago
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Dianna made several cakes yesterday. Each cake required 2 2/3 cups of flour. All together, she used 13 1/3 cups of flour. How ma
riadik2000 [5.3K]

Answer:

5 cakes

Step-by-step explanation:

13 1/3 ÷ 2 2/3

40/3  x 3/8

= 5 cakes

3 0
3 years ago
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
Sarah and Jean were able to sell 4 dozen of cupcakes in a hour at a school fair if this rate continue how many dozen s of cupcak
Alik [6]

Answer:

Step-by-step explanation:

Firstly,

We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:

There are 8 hours between 9am and 5pm

∴ It is 48:1

That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other

So if it is 48:1 then x:8 with be = 48x8

∴ Sarah and Jean will be able to sell 384 cupcakes

7 0
3 years ago
What is the simplified form of 3abc/abc, when abc does not equal zero? Explain using the properties of real numbers.
elixir [45]
3abc / abc 
= 3 ( abc ) / abc
= 3

because the real numbers did not have zero. the real number are starting from positive 1 to  positive infinity number.
If we suppose a = 1, b = 2, c = 3
abc / abc = 1.

I hope that i helped you :)


4 0
3 years ago
Read 2 more answers
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