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gizmo_the_mogwai [7]
3 years ago
13

What is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)?

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

Step-by-step explanation:

E(-1,6)  & F(-2,-10)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\  \  \ \ = \frac{-10-6}{-2-[-1]}\\

=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16

Slope of the line perpendicular to this line = -1/m =  -1/16

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A square garden has sides that are 17 meters long. Fencing costs $9.00 per meter. How much would it
Papessa [141]

Answer:

$612

Step-by-step explanation:

Each side of the square garden is 17 meters, and fencing costs $9 per meter. "Around" is the key word, as it indicates perimeter. So, we just need to account for each side of the garden, and not the entirety of the garden. So,

17 · 9 = 153

This means that to cover one side of the garden, it would cost $153. Now, we just need to account for all sides of the garden.

153 x 4 = 612

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3 years ago
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A classic counting problem is to determine the number of different ways that the letters of "generally""generally" can be arrang
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The word generally can be arranged more than 5 times.
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3 years ago
Please help!!! How do I write an expression for this???
lbvjy [14]
4x + 2
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3 years ago
A study measured the speeds at which cars pass through a checkpoint. Assume the speeds are normally distributed such that the av
xxTIMURxx [149]

Answer:

0.3085 = 30.85% probability that the next car will be traveling less than 59 miles per hour.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 61, \sigma = 4

Calculate the probability that the next car will be traveling less than 59 miles per hour.

This is the pvalue of Z when X = 59. So

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

Z = \frac{59 - 61}{4}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085

0.3085 = 30.85% probability that the next car will be traveling less than 59 miles per hour.

7 0
3 years ago
Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a
r-ruslan [8.4K]

Answer:   \dfrac{5}{9}

Step-by-step explanation:

When we throw a die , Total outcomes =6

When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]

Given : Three fair dice are rolled, one red, one green and one blue.

Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

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The probability that the upturned faces of the three dice are all of different numbers  is \dfrac{5}{9} .

7 0
3 years ago
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