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erik [133]
2 years ago
14

What is the zero of f ?

Mathematics
1 answer:
klio [65]2 years ago
3 0
A line is y-y1=m(x-x1)
So, F = y-8=-4(x+3)
Simplify so y= -4x-12+8
Y=-4x-4
Then to find “the zero” which I’m assuming is x and y intercepts.

Plug in a 0 for x and y=-4
Plug in a 0 for y and x=-1

So (0,-4) (-1,0)

Hope this helps!! If so please give us brainliest!!
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Answer please<br> Solve for x
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Answer:

x = 9 1/3

Step-by-step explanation:

We can use the ratios of similar triangles to solve

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Simora [160]

Answer:

a) 0.3520 = 35.20% probability that a hotel room costs $225 or more per night.

b) 0.1038 = 10.38% probability that a hotel room costs less than $140 per night.

c) 0.4878 = 48.78% probability that a hotel room costs between $200 and $300 per night.

d) $251.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 204, \sigma = 55

a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?

This probability is 1 subtracted by the pvalue of Z when X = 225. So

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

Z = \frac{225 - 204}{55}

Z = 0.38

Z = 0.38 has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

0.3520 = 35.20% probability that a hotel room costs $225 or more per night.

b. What is the probability that a hotel room costs less than $140 per night (to 4 decimals)?

This probability is the pvalue of Z when X = 140. So

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

Z = \frac{140 - 204}{55}

Z = -1.16

Z = -1.16 has a pvalue of 0.1038.

0.1038 = 10.38% probability that a hotel room costs less than $140 per night.

c. What is the probability that a hotel room costs between $200 and $300 per night (to 4 decimals)?

This probability is the pvalue of Z when X = 300 subtracted by the pvalue of Z when X = 200. So

X = 300

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Z = \frac{300 - 204}{55}

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X = 200

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

Z = \frac{200 - 204}{55}

Z = -0.07

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0.9599 - 0.4721 = 0.4878

0.4878 = 48.78% probability that a hotel room costs between $200 and $300 per night.

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

0.84 = \frac{X - 204}{55}

X - 204 = 0.84*55

X = 250.2

Rounding to the next dollar.

$251.

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