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Allisa [31]
3 years ago
14

If FG = 8.4 and GH = 4.4, what is FH?

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

12.8

Step-by-step explanation:

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Norma-Jean [14]
This question is referred to two similar triangles.

One triangle has sides x and x - 2.

The other triangle has the respective sides x + x + 5 and x - 2 + x + 1

Then you can state a proportionality relation between the sides>

[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]

=> [2x + 5] / x = [2x - 1] / [x - 2]

=> (2x + 5)(x - 2) = (2x - 1)x

=> 2x^2 - 4x + 5x - 10 = 2x^2 - x

=> x - 10 = - x

=> 2x = 10

=> x = 10 / 2

=> x = 5

Answer: x = 5
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Find the value of x. Round to the<br> nearest tenth.<br> Х<br> 9<br> 4<br> x = [ ?]°
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The first time a census was taken in the town of Lynne, the population was 901. Each year after that, the population was about 2
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The coordinates are (0, 901). (:
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A company compiles data on a variety of issues in education. In 2004 the company reported that the national college​ freshman-to
nasty-shy [4]

Answer:

1) Randomization: We assume that we have a random sample of students

2) 10% condition, for this case we assume that the sample size is lower than 10% of the real population size

3) np = 500*0.66= 330 >10

n(1-p) = 500*(1-0.66) =170>10

So then we can use the normal approximation for the distribution of p, since the conditions are satisfied

The population proportion have the following distribution :

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

And we have :

\mu_p = 0.66

\sigma_{p}= \sqrt{\frac{0.66(1-0.66)}{500}}= 0.0212

Using the 68-95-99.7% rule we expect 68% of the values between 0.639 (63.9%) and 0.681 (68.1%), 95% of the values between 0.618(61.8%) and 0.702(70.2%) and 99.7% of the values between 0.596(59.6%) and 0.724(72.4%).

Step-by-step explanation:

For this case we know that we have a sample of n = 500 students and we have a percentage of expected return for their sophomore years given 66% and on fraction would be 0.66 and we are interested on the distribution for the population proportion p.

We want to know if we can apply the normal approximation, so we need to check 3 conditions:

1) Randomization: We assume that we have a random sample of students

2) 10% condition, for this case we assume that the sample size is lower than 10% of the real population size

3) np = 500*0.66= 330 >10

n(1-p) = 500*(1-0.66) =170>10

So then we can use the normal approximation for the distribution of p, since the conditions are satisfied

The population proportion have the following distribution :

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

And we have :

\mu_p = 0.66

\sigma_{p}= \sqrt{\frac{0.66(1-0.66)}{500}}= 0.0212

And we can use the empirical rule to describe the distribution of percentages.

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

Using the 68-95-99.7% rule we expect 68% of the values between 0.639 (63.9%) and 0.681 (68.1%), 95% of the values between 0.618(61.8%) and 0.702(70.2%) and 99.7% of the values between 0.596(59.6%) and 0.724(72.4%).

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It’s an integer, rational number, and a whole number
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