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3 years ago

Explain why a change from 20 to 40 is a 100% increase, but a change from 40 to 20 is a 50% decrease

1 answer:

4 0

<em>Hi there! :D

A change from 20 to 40 is 100% increase because:</em>

If 20 is the number starting up and is the original number, then 20 would equal 100%

40-20=20 An extra 20 is equal to 100%. 20=100%, so it's own number added to itself would make it an increase.

A change from 40 to 20 is a 50% decrease because:

40/2= 20

Half of 40 is 20. Half of a number is equal to 50%.

I hope this helps!
~kaikers

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Answer:

The probability that Miguel Cabrera gets a hit in all four at-bats is 0.014

Step-by-step explanation:

Given

$\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ {P(x)} & {0.192} & {0.392} & {0.300} & {0.102} & { } \ \end{array}$

Required

P(x = 4)

To do this, we use the following formula:

$\sum\limit^n_{x=i} P(x) = 1$

In this case, the above formula can be interpreted as:

$P(x = 0) + P(x = 1) + P(x = 2) + P(x =3) + P(x = 4) = 1$

This gives:

$0.192 + 0.392 + 0.300 +0.102 + P(x = 4) = 1$

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Collect like terms

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Read 2 more answers

. A random sample of 100 children with working mothers showed that they were absent from school an average of 6 days per term wi

erica [24]

Answer:

a) The equation is:

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b) The 98% confidence interval = (5.62784, 6.37216)

Step-by-step explanation:

a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

Mean = 6 days

Standard deviation = 1.6 days

Number of samples = 100

Z score of 98% confidence interval = 2.326

Confidence interval = 6 ± 2.326 × 1.6/√100

= 6 ± 2.326 × 1.6/10

= 6 ± 0.37216

= 6 - 0.37216

= 5.62784

6 + 0.37216

= 6.37216

Therefore, the 98% confidence interval = (5.62784, 6.37216)

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3 years ago