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Mathematics

1 answer:

vlada-n [284]3 years ago

8 0

According to the Side Side Side postulate of congruent triangles, these triangles are congruent because each side is congruent to it’s corresponding side on the other triangle. When writing the congruence statement, you need to make sure that both triangles are read the same way so that one side corresponds to its congruent other side on the other triangle. One way to name these triangles would be HGK ≅ XWV

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A bicycle company is designing women's bicycle frames. The frames can accommodate any woman taller than 54.5 inches. Given that

ladessa [460]

Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.

<h3>What is Normal Probability Distribution?</h3>

The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:

$z=\dfrac{x-\mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.
Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 65\ \ \sigma= 3.5$

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

$z=\dfrac{x-\mu}{\sigma}$

$z = \dfrac{54.5-65}{3.5}$

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.

More can be learned about the normal distribution at brainly.com/question/27850813

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4 0

2 years ago

What 4 factors were used to create this Product game board 9,15,18,21,30,35,36,42,49

slava [35]

Check : brainly.com/question/5023362

To see what are the factors use, we write each of the numbers, as product of prime factors, as shown in the picture

As we can see, the 4 factors used to produce the numbers in the list are {2, 3, 5, 7}

Answer: {2, 3, 5, 7}

6 0

3 years ago

Read 2 more answers

A sample of 14 cans of Brand I diet soda gave the mean number of calories of 23 per can with a standard deviation of 3 calories.

dsp73

Answer:

ठथठलछंशू फथजलट एक ओज पनि हो र स्वार्थी यसलाई मैले कसरी भुल्न सक्थेँ र त्यहाँको बडेमाको बिल्डिङ भित्र म. म जिन्दगी एक यात्रा तय गर्न गर्ने हो र त्यहाँको बडेमाको बिल्डिङ बनाउनलाई मुख्य समाचार पृष्ठ सभकेँ रिफ्रेश कए देखू। म भने त्यो भने हेर्न

3 0

3 years ago

What is the diameter of a sphere that has a volume of 972π in^3?

Feliz [49]

The answer is

d = 12.29

3 0

3 years ago

If an object is NOT moving, it does not have _____.

kap26 [50]

Answer: Kinetic Energy

Step-by-step explanation:

An object in a motion converts its potential energy into kinetic energy allowing it to move.