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lozanna [386]
3 years ago
7

In a proof of the Pythagorean theorem using similarity what allows you to state that the triangles are similar in order to write

the true proportions C-a and
Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

a2+b2=c2

Step-by-step explanation:

e.g:

a=5 b=2 c=?

52+22=c2

25+4=c2

29=c2

square root of 29= c

c=5.385164807

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sergiy2304 [10]

Answer:

Step-by-step explanation:

y = 3.25x + 1.25

1.25 is y-intercept

3.25 is the slope of a graph.

If x = 0, then y = 1.25

(0, 1.25)

If x = 3, then y = 3.25(3) + 1.25 = 11

(3, 11)

4 0
3 years ago
Read 2 more answers
three students had $9.00 total and went to a smack bar where their bill was $6.57. they want to divide up the money that is left
KatRina [158]
9.00+6.57=× is the answer
3 0
3 years ago
In a shipment of 22 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 4 smartphones, of
Eddi Din [679]

Answer:

Therefore the required ways are =190

Step-by-step explanation:

Combination: Combination is the number of selection of items from a collection of items where the order of selection does not matter.

Total number of smartphones =22

Defective phone = 2

Non defective phone = (22-2) =20

The control inspector randomly test 4 smartphones of which 2 are defective.

Non defective phone = 2

The ways to select 2 non defective phone is

^{20}C_2=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!}=\frac{19\times 20}{2} =190

The ways to select 2 defective phone is= ^2C_2=1

Therefore the required ways are = (190×1) =190

5 0
4 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

Z = \frac{X - \mu}{s}

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Based on the information below what are the values of x and y of the solution to the system of equations used to create the info
Grace [21]

Answer:

<em>(D). x = 2 , y = - 5</em>

Step-by-step explanation:

A = - 8 + 48 = 40

A_{x} = -76 + 156 = 80

A_{y} = 104 - 304 = - 200

<em>x =</em> \frac{A_{x} }{A} = <em>2</em>

<em>y =</em> \frac{A_{y} }{A} = <em>- 5</em>

<u><em>( 2, - 5 )</em></u>

3 0
3 years ago
Read 2 more answers
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