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ki77a [65]
3 years ago
14

Find the slope of the line that passes through (6 , 2) and ( 1 ,10).

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer: Slope: -1.6

Use the slope formula

substitute point values in the formula

                              (10 -2)

- like this:       m = ----------

                              (1 - 6)

Simplify each other side of the equation

- simplified: 8/-5

m: - 1.6

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Answers should be exact decimals (please do not leave as fractions or unfinished calculations).
aksik [14]

Answer:

P(rolling the die results in a 3 or a 6)=0.3333

P(rolling the die results in not getting a 6)=0.8333

P(rolling the die results in the number being either greater than 2 or less than 5)=0.3333

P(rolling the die results in an even number or a 5)=0.6667

P( rolling the die twice results in a 6 followed by a 4)=0.0278

P(rolling the die three times results in all 6's)=0.0046

Step-by-step explanation:

a)

As the all outcomes are equally likely, so each number has equal probability of occurring.

For six sided die the sample space is {1,2,3,4,5,6} and each outcome has equal probability of 1/6.

1)

P(rolling the die results in a 3 or a 6)

P(rolling the die results in a 3 or a 6)=P(3)+P(6)=1/6+1/6=2/6=1/3

P(rolling the die results in a 3 or a 6)=0.3333

P(rolling the die results in not getting a 6)

P(rolling the die results in not getting a 6)=1-P(6)=1-1/6=5/6

P(rolling the die results in not getting a 6)=0.8333

P(rolling the die results in the number being either greater than 2 or less than 5)

number either greater than 2 or less than 5={3,4}

P(rolling the die results in the number being either greater than 2 or less than 5)=2/6=1/3

P(rolling the die results in the number being either greater than 2 or less than 5)=0.3333

P(rolling the die results in an even number or a 5)

number is an even number or a 5={2,4,5,6}

P(rolling the die results in an even number or a 5)=4/6=2/3

P(rolling the die results in an even number or a 5)=0.6667

P( rolling the die twice results in a 6 followed by a 4)

For six sided die rolled twice the sample space is

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}.

n(S)=6²=36.

rolling the die twice results in a 6 followed by a 4={(6,4)}

P( rolling the die twice results in a 6 followed by a 4)=1/36.

P( rolling the die twice results in a 6 followed by a 4)=0.0278

P(rolling the die three times results in all 6's)

When three die are rolled the number of outcomes=n(S)=6³=216.

rolling the die three times results in all 6's={(6,6,6)}

P(rolling the die three times results in all 6's)=1/216

P(rolling the die three times results in all 6's)=0.0046

Note: All answers are rounded to four decimal places.

8 0
3 years ago
PLEASE HELP 25 POINTS<br> Evaluate 4(3 - 1)^2<br> O A. 16<br> O B. 128<br> O C. 64<br> O D. 32
balandron [24]
The answer is 16 bc yeah i said it was
6 0
3 years ago
Fiona wrote the linear equation y = 2/5 X -5. When Henry wrote his equation they discovered that his equation had all the same S
REY [17]
The equation of the graph is given as y = (2/5)x - 5.

You have to figure out which of the choices equals the equation given,
y = (2/5)x - 5.
You could solve each of the answer choices for y, but since each choice is in the format x - (m)y = b, you can put the given equation in that format too.

y= \frac{2}{5}x - 5 \\ &#10;5= \frac{2}{5}x-y \\ &#10; \frac{2}{5}x - y = 5 \\ &#10; (\frac{5}{2}) \frac{2}{5}x - (\frac{5}{2})y = (\frac{5}{2})5 \\ &#10;x -  (\frac{5}{2})y =  \frac{25}{2}

5 0
3 years ago
Read 2 more answers
When x+2 = 1/5y is written in standard form, what is the value or B
Ket [755]

Answer:

B=-1

Step-by-step explanation:

Standard form is Ax+By=C.

In this case, Ax is x, By is 1/5y, and C is +2.

To isolate the 2 (the C), subtract x from both sides of the equation:

x+2=1/5y

-x     -x

2=-x+1/5y.

Now, the value of B, the x value, is -1.

4 0
3 years ago
Which of the following points are on the line given by the equation y=1/2x
OLEGan [10]

Answer:

B, C, and F

Step-by-step explanation:

y = 1/2x

y = 1/2(4)

y = 2

y = 1/2x

y = 1/2(-2)

y = -1

y = 1/2x

y = 1/2(2)

y = 1

3 0
3 years ago
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