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3 years ago

(-3,2); m=5 write in point slope form

Mathematics

1 answer:

dezoksy [38]3 years ago

5 0

Answer:

y-y1=m(x-x1)

y-2=5( ×-(-3) )

y-2=5(x+3)

y-2=5x+15

y=5x+15+2

y=5x+17

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Evaluate f ( - 5 ) =

Firdavs [7]

Answer: −5

Step-by-step explanation:

simplify: (−5)

Re-order terms so constants are on the left:

(−5)f(−5)−5

6 0

2 years ago

Shelia mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. How many

zimovet [89]

Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)

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3 years ago

Read 2 more answers

13 is 26% of what number

Marina CMI [18]

Answer:

Step-by-step explanation:

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2 years ago

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Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

$Total = 11 + 16 + 14 + 20 + 12 + 17$

$Total = 90$

(a): Relative frequency of 4 is 2/9

Relative frequency is calculated by:

$RF= \frac{Observed\ Frequency}{Total}$

For roll 4

$Observed\ frequency = 20$

So, the relative frequency is:

$RF = \frac{20}{90}$

Simplify

$RF = \frac{2}{9}$

(a) is true

(b): Experimental probability of 3 greater than its theoretical probability

The experimental probability is its relative frequency;

For roll 3

$Observed\ frequency = 14$

The experimental probability is:

$Pr = \frac{14}{90}$

Simplify

$Pr = \frac{7}{45} = 0.156$

To calculate the theoretical probability, w have:

$S = \{1,2,3,4,5,6\}$ ---- sample space

$n(S)= 6$

$n(3) = 1$ --- number of times 3 occur

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The theoretical probability is $greater\ than\ the$ experimental probability.

(b) is false

(c): Experimental probability of 2 greater than its theoretical probability

Using the explanations in (b), we have:

For roll 2

$Observed\ frequency = 16$

The experimental probability is:

$Pr = \frac{16}{90}$

Simplify

$Pr = \frac{8}{45} = 0.178$

To calculate the theoretical probability, we have:

$n(S)= 6$

$n(2) = 1$

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The experimental probability is $greater\ than\ the$ theoretical probability.

(c) is true

(d): Relative frequency of 5 is 2/13

For roll 5

$Observed\ frequency = 12$

The relative frequency is:

$RF = \frac{12}{90}$

Simplify

$RF = \frac{2}{15}$

(d) is true

7 0

2 years ago

The points given in the table lie on a line. Find the slope of each line.

antiseptic1488 [7]

Answer:

-2.5

Step-by-step explanation:

The slope of a line can be found by dividing the rise over the run between two points. The rise is the difference between the y-values, and the run is the difference between the x-values. For both, the value with the greater x-value comes first as you are seeing how much it has changed from the first value to the the other.

Let's use the first two points to find the slope: (0,9), (2,4)

(2,4) has the greater x-value, so the rise between the points would be -5, as 4 - 9 = -5

The run would be 2, as 2-0 = 2.

Therefore the slope would be: -5/2 = -2.5

Hope this helped!

8 0

3 years ago