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CaHeK987 [17]
3 years ago
14

How do I solve this problem? 7/9x54=

Mathematics
2 answers:
Ivanshal [37]3 years ago
3 0
First, convert 54 into a fraction. 
It would be 54/1.

Now multiply 7/9 and 54/1 across; multiply the numerator by the numerator and the denominator by the denominator.

7 x 54 = 378
9 x 1 = 9

We get 378/9.

9 can go into 378 exactly 42 times.


So, 7/9 x 54 = 42.
Alex Ar [27]3 years ago
3 0
7/9 x 54
=7 x 6  ( 54 divide by 9 give 6)
=42
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Answer:

B. 97%

Step-by-step explanation:

20 students is -2 standard deviations away from the mean

35 is +3 standard deviations away from the mean

100 - 2.4 = 97.6

(2.4 is amount of data we are not using)

please refer to the standard deviation graph attached :)

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1 year ago
When Maggie hooks her dog up to a rope that is staked in the yard, the dog can walk a distance of about 76 feet along the circum
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Answer:

12.1

Step-by-step explanation:

76/2π

= 38/π

= 12

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2 years ago
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Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?
GrogVix [38]

Answer:

3.66meters long

Step-by-step explanation:

since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long

7 0
2 years ago
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
Which statement is true?
riadik2000 [5.3K]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
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