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Artemon [7]
3 years ago
9

A line has a slope of -6 over 7. What is the slope of the line parallel to it? And what is the slope of the line perpendicular t

o it?
Mathematics
1 answer:
olga_2 [115]3 years ago
3 0
The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6
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51 is 33 1/3 of what number?
nevsk [136]

Answer:

\boxed{\frac{153}{100}\:\:Or\:\:1.53}

Step-by-step explanation:

Let the number be n.


Then,

33\frac{1}{3} \tmes n=51

This implies that;

\frac{100}{3} n=51


We multiply both sides by \frac{3}{100} to obtain;


\frac{3}{100} \times \frac{100}{3}n=\frac{3}{100} \times 51


\Rightarrow n=\frac{3}{100} \times 51


\Rightarrow n=\frac{153}{100}

Or

\Rightarrow n=1.53


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3 years ago
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A length of string is 42 1/2 inches long.
agasfer [191]

Answer:

5 5/16

Step-by-step explanation:

you just divide 42 1/2 by 8

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3 years ago
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Pythagorean Theorem in Cones. Please help
Lady_Fox [76]
3^2 + height^2 = 9^2

9 + height^2 = 81
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height = sqrt(72)

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3 years ago
What is the distance between the tick marks on the number line?
lora16 [44]

Answer:

1/5

Step-by-step explanation:

2 units divided into 5 marks each = 10 marks

2/10 = 1/5 unit each mark

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2 years ago
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The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random
Zanzabum

1) Mean: 6.5

2) Standard deviation: 3.2

Step-by-step explanation:

1)

A uniform random distribution is the distribution of a variable that can assume n different values, and each of these values is equally likely to occur.

This means that the probability of occurring of each of these values is the same:

p(x_1)=p(x_2)=...=p(x_n)

For a uniform random distribution, the mean of the distribution is simply equal to the median value of the distribution, which is exactly at the center of the distribution itself. It can be calculated as

\bar x = \frac{1}{2}(a+b)

where

a is the lowest value of the distribution

b is the highest value of the distribution

Here the distribution consists of all values ranging from 1 to 12, so:

a = 1

b = 12

Therefore the mean value is

\bar x=\frac{1}{2}(1+12)=6.5

2)

For a uniform random distribution, it can be dimostrated that the variance of the distribution is

\sigma^2 = \frac{1}{12}(b-a)^2

For the distribution in this problem, we have:

a = 1

b = 12

Therefore the variance is

\sigma^2 = \frac{1}{12}(12-1)^2=10.08

The standard deviation is the square root of the variance, therefore for this distribution it is:

\sqrt{\sigma^2}=\sqrt{10.08}=3.2

Learn more about mean and standard deviation:

brainly.com/question/6073431

brainly.com/question/8799684

brainly.com/question/4625002

#LearnwithBrainly

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3 years ago
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