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goldfiish [28.3K]
3 years ago
10

What is the equation of a line with a slope of 4 that passes through point (-2,5)

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Point slope form is:  y - y1 = m(x - x1)

So we plug in the point we were given, and use the slope, m:

 

y -5 = 4(x - 2) ANSWER

 

Now: y - 5 = 4x - 8,

 

so:         y = 4x - 8 +5  

 

so:        y = 4x - 3 ANSWER  

                 (SLOPE INTERCEPT FORM IS: y =mx + b)    

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What quantity of sugar would you need to make a half recipe?
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Answer:

im pretty sure it would be 1/3 of a cup

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Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and
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Although you didn’t list any equations, here is the correct one:

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Step-by-step explanation:

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2 years ago
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8 0
3 years ago
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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 = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
2 years ago
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