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3 years ago

The sum of two numbers, x and y, is more than 8.

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

so your two inequalities would be

x+y>8

and

2x+y<14

we can put both of these into slope intercept form

y>-x+8

y<-2x+14

and now we can graph!

see image attached:

both lines are dotted because it is greater than and less than, not equal to.

slope intercept form is y=mx+b which is y=slopex+y intercept

we can first plot the y intercept and use the slope to find the other points

slope is rise/run

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A spinner numbered 1 through 12 is spun. Find the probability that

anastassius [24]

Answer:

$\dfrac{1}{6}$

Step-by-step explanation:

Let A be the event of getting an odd number.

P(A) be the probability of getting an odd number.

Total odd numbers here are 6 i.e. $\{1,3,5,7,9,11\}$

Here, total numbers in the game are 12 i.e $\{1,2,3,....,12\}$ .

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}$

Let B be the event of getting 11.

P(B) be the probability of getting 11.

Total number of possible cases is 1.

$P(B) = \dfrac{1}{12}$

$P(A \cap B)$ is the probability that we get 11 and an odd number.

Possible number of cases = 1

$P(A\cap B) = \dfrac{1}{12}$

P(B/A) is the probability that we get an 11 given that it is an odd number.

$P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}$

Hence, P(B/A) = $\dfrac{1}{6}$

4 0

3 years ago

Read 2 more answers

Please help ASAP!

g100num [7]

So all you have to do to solve these problems is substitute the y coordinate and the x coordinate into the equation.

So question 1 would be true because when you substitute the numbers in it equals the y value.

Question 2 is (4, -7)

Question 3 is False

Question 4 is true

Question 5 is true

See if you can do the rest!

8 0

3 years ago

PLEASE HELP, The diameter of a semicircle is 2 meters. What is the semicircle radius

sergiy2304 [10]

Answer:

Step-by-step explanation:

d= 2r

therefore the radius is 1

6 0

2 years ago

Jordan is running 5 miles for cross-country practice (track). She ran the first 2 miles in 12.5 minutes. How long will it take h

pochemuha

Answer:

31.25 minutes

Step-by-step explanation:

12.5 minutes divided by 2 (miles) = 1 mile per 6.25 minutes

6.25 x 5 = 31.25

6 0

2 years ago

Tallulah has 40 dimes and some nickels. The total value of her change is $5.00. How many nickels does Tallulah have?

Verdich [7]

40 dimes is $4.00. you would need $1 in nickles. 2 nickles is 10 cents. so you would need 20 nickles.

10x+160=300
-160 -160
10x=140
divide both sides by 10
x=14
$14

8 0

2 years ago

Read 2 more answers