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3 years ago

Use elimination to solve 2x+3y=4 4x+6y=-5

Mathematics

1 answer:

zvonat [6]3 years ago

8 0

There is no solution to the problem because it is parallel.

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A population of values has a normal distribution with μ = 247 and σ = 62.2. You intend to draw a random sample of size n = 16. (

nadya68 [22]

Answer:

a) $z = \frac{295.2-247}{62.2}=0.772$

And using the normal distribution table or excel we got:

$P(Z>0.772) = 1-P(Z$

b) $z = \frac{295.5 -247}{\frac{62.2}{\sqrt{16}}}= 3.119$

And we can use the normal standard table or excel in order to find the probability and we got:

$P(z>3.119) =1-P(Z$

Step-by-step explanation:

For this case we know that the random variable of interest is normally distributed with the following parameters:

$X \sim N (\mu = 247, \sigma =62.2)$

Part a

We want to find this probability:

$P(X>295.2)$

And we can use the z score formula given by:

$z = \frac{X-\mu}{\sigma}$

Replacing we got:

$z = \frac{295.2-247}{62.2}=0.772$

And using the normal distribution table or excel we got:

$P(Z>0.772) = 1-P(Z$

Part b

We select a random sample of size n = 16 and we try to find this probability:

$P(\bar X >295.2)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{295.5 -247}{\frac{62.2}{\sqrt{16}}}= 3.119$

And we can use the normal standard table or excel in order to find the probability and we got:

$P(z>3.119) =1-P(Z$

8 0

3 years ago

Explain why even though there are just two outcomes the answer is not necessary 0.5

dalvyx [7]

Answer:

The study is basically qualitative in nature. In order to provide a justification for the adoption of this model, a sample of 150 respondents from this model is compared with the same number from the other model. The Cronbach's alpha is calculated to be 0.5.

3 0

3 years ago

Movie ticket prices have been on a steady rise the past few years. Five years ago the ticket price was p = price. Two years ago

lbvjy [14]

The answer would be B) p+(2+1)

6 0

3 years ago

Read 2 more answers

Please answer this question now in two minutes

Inessa [10]

Answer:

∠HGJ and ∠KJL