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3 years ago

Heheh help me moreee

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

7 0

Okay. So the equation is 4x² - 16. We're talking about moving 7 units to the right and 3 units down. That formula would be h(x) = 4(x - 7)² - 19, because you would add -3 to the -16 units to get -19, and you would put the parenthesis around x and the 7 in order for it to move right. Keep in mind that parenthesis around x and a term means that we move either left or right, which didn't occur in the original equation. -16 is the amount of units down and adding -3 to it makes it -19. The answer is A.

mezya [45]3 years ago

4 0

Answer:

A. h(x)=4(x-7)^2-19

Step-by-step explanation:

i just did thisin my math class

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Answer:

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So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the consumption levels of a population, and for this case we know the distribution for X is given by:

$X \sim N(1050,218)$

Where $\mu=1050 kWh$ and $\sigma=218kWh$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.55$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.26. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55

If we use condition (b) from previous we have this:

$P(X$