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vladimir2022 [97]
3 years ago
14

How can you tell that a fraction is a unit fraction?

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0
You can tell a fraction is a unit fraction if it has a one above it examples 1/2 1/3 1/4
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A​ half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of​
Ainat [17]

Answer:

99.5% of all samples of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of​ today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of​ today's women in their 20's have been taken.

<u><em /></u>

<u><em>Let </em></u>\bar X<u><em> = sample mean heights</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean height of women = 64.7 inches

            \sigma = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches is given by = P(\bar X \geq 65.86 inches)

  P(\bar X \geq 65.86 inches) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } } ) = P(Z \geq -2.57) = P(Z \leq 2.57)

                                                                        = <u>0.99492  or  99.5%</u>

<em>The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.</em>

<em />

Therefore, 99.5% of all samples of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches.

3 0
3 years ago
-4(x+1)-3=-3(x-4) solve for x please. Giving brainliest
Sophie [7]

Answer:

-19 = x

Step-by-step explanation:

Step 1: Write equation

-4(x + 1) - 3 = -3(x - 4)

Step 2: Solve for <em>x</em>

<u>Distribute:</u> -4x - 4 - 3 = -3x + 12

<u>Combine like terms:</u> -4x - 7 = -3x + 12

<u>Add 4x on both sides:</u> -7 = x + 12

<u>Subtract 12 on both sides:</u> -19 = x

4 0
3 years ago
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A painting crew reported that a job is 3/5 completed. What fraction of the job remains to be done? ​
Debora [2.8K]

Answer:

2/5

Step-by-step explanation:

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2 years ago
The percent increase of the airline ticket is ___%
JulsSmile [24]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

For just the ticket

%change=100(375-300)/300=25%

For the ticket and baggage fee of $50

%change=100(375+50-300)/300=42%

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3 years ago
How to write one and sixth tenths as a demical
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Answer

the answer is 1.6

Step-by-step explanation:

7 0
3 years ago
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