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Tju [1.3M]
2 years ago
7

What is the value of u and v?

Mathematics
2 answers:
Harrizon [31]2 years ago
4 0

Answer:

  • u = v = 164 units

Step-by-step explanation:

<u>We know that:</u>

  • u = v (This is because the base angles are equal)

<u>Let's solve this using Pythagoras theorem.</u>

  • (164√2)² = u² + v²
  • => 164√2 x 164√2 = 2u²
  • => 164 x 164 = u²
  • => u = 164 units

Hence, the measure of u and v is 164 units.

Novay_Z [31]2 years ago
3 0

Answer and Explanation:

Since this is an isosceles right triangle, you can use the ratio of side lengths specific to this type of triangle where both legs are the hypotenuse over root 2:

u = v = 164√2 / √2 = 164

so:

u = 164

v = 164

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3 0
3 years ago
I need help with this ​
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3 years ago
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w
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Answer:

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

2. B). There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. B) Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.

Step-by-step explanation:

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7

2. z = (variate - mean)/ (standard deviation/\sqrt{N}

Z = (64.2 - 63.7)/ (20/roots 45) =0.17

meaning there is

B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. if the level of significance is 0.05 or between  0.05 and 0.01, i.e. the confidence level is 95% or  between 95% and 99%, the results are considered  to be probably significant, i.e. the results  are probably correct,

therefore, the alternative hypothesis is correct

B) Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.

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