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Ivanshal [37]
3 years ago
14

The ________ of an angle is a segment or a ray that passes through the vertex of an angle and splits it into two congruent angle

s.
Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0
Bisector is the correct answer  <span />
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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
If K is the midpoint of HJ, HK = x+6, and HJ =4x-6, then KJ = ?
barxatty [35]
4x-6= x+6
4x= x + 12
5x= 12
X= 12/5
X= 2.5
6 0
2 years ago
a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle
Anika [276]
Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
3 0
3 years ago
Julia spends $7.25 on gas for her lawn mower. She earns $12.00 mowing her neighbor's yard. What is Julia's profit? Julia earned
const2013 [10]
To get julia's profit you will have to subtract the amount she spent on gas from the amount she was paid $12.00-$7.25=$4.75
5 0
3 years ago
PLEASE HELP ITSFOR GEOMETRY DO NOT WASTE ANSWERS WILL MARK BRAINLIEST
iris [78.8K]

Answer:

26 miles

Step-by-step explanation:

use pythagorean theorem to find that from post office to stevie's is 10 miles long( 6^2 + 8^2=100, and the square root of 100 is 10) then add the total distence together and get 8+8+10=26

3 0
3 years ago
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