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Leviafan [203]
2 years ago
13

Problem Solving Guess and Check: Place 40 checkers in two stacks so that, if five checkers are moved from the taller stack to th

e shorter one, there will be the same number of checkers in each stack. How many checkers were in the taller stack?
PLEASE ANSWER THIS URGENTLY
Mathematics
1 answer:
Allushta [10]2 years ago
4 0

Answer:

Answer:

10

Step-by-step explanation:

6 in the first, and 12 in each of the other

That means 6 + 12 + 12 = 30

Since there are three stacks, divide 30 by

3

30/3 = 10

There will be 10 books in each stack

If my answer is incorrect, pls correct me!

If you like my answer and explanation,

mark me as brainliest!

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CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars
velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

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.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that \mu = 965, \sigma = 113

Sample of 57:

This means that n = 57, s = \frac{113}{\sqrt{57}} = 14.97

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

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

By the Central Limit Theorem

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

Z = \frac{972.5 - 965}{14.97}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

X = 939.6

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

Z = \frac{939.6 - 965}{14.97}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

3 0
2 years ago
The cost of renting a kayak for one hour is $23. Each additional hour is $8 more. Write the formulas to represent the situation.
sergiy2304 [10]

Answer:

Step-by-step explanation:

Add and then multiply the one left

6 0
3 years ago
Read 2 more answers
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umka2103 [35]
Here are the answers:
1.) DC=D’C’
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5 0
3 years ago
Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.
Gwar [14]
\frac{6-0}{0+2} = \frac{6}{2} =
3

The equation you use to find the average rate of change, or slope, is \frac{y_{2}-y_{1}}{x_{2}-y_{1}}
7 0
3 years ago
Read 2 more answers
If the graph of f(x) = x is shifted up 9 units, what would be the equation of the new graph?
goblinko [34]

Answer:

x+9

Step-by-step explanation:

f(x) = x, going up 9

that is y=x, going up 9

if you wnat to go up, subtract 9 from y

y -9 = x

y=x+9

convert back to f(x)

f(x) = x+9

5 0
3 years ago
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