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vovangra [49]
3 years ago
13

2xB+4= -8 what number does B stand for in the question

Mathematics
2 answers:
melomori [17]3 years ago
5 0
2×B+4=-8  
                        B=2
2×2+4=-8
IgorC [24]3 years ago
4 0
2 x B + 4 = -8
          -4      -4
2 x B = -12
divide by 2 on both sides
B = -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
The population of city is 2500 if the number of males is 240 more than females how many males and females are there in the city?
Blizzard [7]
There are 1130 females. There are 1370 males. What I did was take 2500 and subtracted 240 from it. I got 2260 and then divided that number by 2 and got the number of females. Then I took that number and added 240 to it and got the number of males.
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3 years ago
Please keep as simple as possible
Alenkinab [10]

Answer:

f(x) = (X^3 +6) + 4

Step-by-step explanation:

to move left add +6 from <u>inside</u> the parenthesis

to move up add +4 <u>outside</u> of parenthesis

<em>*since there were no parenthesis you add them*</em>

7 0
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Its 3l-40 or 5l-3 the answer is
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PLEASE HELP ME FAST I NEED TO FINISH THIS!! ( It's about linear equation from a slope and y- intercept)
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Y=Mx+b OR y= slopex+ y intercept

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