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ad-work [718]
3 years ago
14

What is the inequality

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
When there not equal
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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
Is 11.250 greater or less or equal to 11.25
sasho [114]

Answer:

Equal, 250 and 25 are both 1/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do you solve -2(3x-1)-3=4x+5-x
maria [59]

Answer:

-6x+2-3=3x+5

2-3-5=3x+6x

-6=9x

x=-2/3

4 0
3 years ago
What is the limit as x is approaching 0 of the absolute value of x
vesna_86 [32]
Recall that, an absolute value expression is a piece-wise in effect, thus we'd check the single-sided limits,

\bf \lim\limits_{x\to 0}~|x|\implies &#10;\begin{cases}&#10;\lim\limits_{x\to 0^-}~-x\\\\&#10;\lim\limits_{x\to 0^+}~+x&#10;\end{cases}\implies &#10;\begin{cases}&#10;0\\\\&#10;0&#10;\end{cases}\implies \lim\limits_{x\to 0}~|x|=0
6 0
3 years ago
Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width
astra-53 [7]

Answer:

Area = Length x width

Step-by-step explanation:

Area= 2

5 0
3 years ago
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