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2 years ago

The probability distribution for a random variable x is given in the table.

Mathematics

2 answers:

frez [133]2 years ago

7 0

Answer: 60%

Step-by-step explanation:

the probability is -2 is less than or equal to x and x is less than or equal to 2 so you would include .33, .16, and .10 in your problem

.33 + .16 + .11 = .6

.6 x 100 = 60

(if your using acellus don’t forget the % sign or it’ll mark it wrong!)

ZanzabumX [31]2 years ago

6 0

I’m not completely sure but I think it’s x=16.

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Use cross products to demonstrate whether the two ratios are equivalent in this problem: 4 over 6 times 14 over 21

ExtremeBDS [4]

4/6 = 14/21 When using cross product always multiply the left fractions numerator times the right side fractions denominator and the left side fractions denominator times the right side fractions numerator 4×21 = 6×14 84=84 They are equivalent because they both equal 84

3 0

2 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

2 years ago

Read 2 more answers

Which statement is NOT true? A. All isosceles triangles are also equilateral triangles. B. All equilateral triangles are also is

Alecsey [184]

Hello there!

The statement that would NOT be true would be option A. All isosceles triangles are also equilateral triangles. The rest of the statements would be TRUE.

Hope this helps and have a great day! :)

5 0

2 years ago

What is the domain of the relation?

Tresset [83]

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

6 0

2 years ago

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The scientist creates an equation that models her data for each tree so that she can predict the diameter in the future. Complet

otez555 [7]

Answer:

y = 0.3X + 18.3

Step-by-step explanation:

Given that data :

x = year ;

y = trunk diameter, in inches

Year ________trunk diameter

1 __ 18.6

3 __ 19.2

5 __ 19.8

7 __ 20.4

9 ___21.0

11 __ 21.6

13 __ 22.2

Using the linear regression calculator :

The linear equation obtained is :

y = 0.3X + 18.3

Where ;

Slope = 0.3 ; intercept, c = 18.3

8 0

2 years ago