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lakkis [162]
2 years ago
10

(Giving Branliest)

Mathematics
2 answers:
REY [17]2 years ago
8 0

Answer:

106.68 cm

Step-by-step explanation:

Change ft to inches

3.5 ft * 12 inches / 1 ft = 42 inches

Change inches to cm

42 inches * 2.54 cm/ inch =106.68 cm

timurjin [86]2 years ago
4 0

Answer:

106.68cm

Step-by-step explanation:

divide by feet untill you get inches

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At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

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 z-score 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 p-value, 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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

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

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
2 years ago
Please help its due soon!
notka56 [123]

Answer:

ll students have tablets .

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the sum of the first ten terms of the sequence 4, -12, 36, -144 ...?
frez [133]

Answer:

−19810916

Step-by-step explanation:

plz vote my answer the brainiest, i rlly need it thanks!

hope this helps!

7 0
3 years ago
I need help please :,(
Ede4ka [16]
I think it’s the first one
4 0
2 years ago
Ok for this question you have to solve for m and show work
konstantin123 [22]
10 = 2/3m - 3/2m
2/3m - 3/2m = 10
m ( 2/3 - 3/2 ) = 10
-5/6m = 10
5m = -60
m = -12
3 0
3 years ago
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