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3 years ago

A single six sided die is rolled. find the probability of rolling an even number or a number less than 5

2 answers:

5 0

The probability of rolling an even number is three times (2,4,6) and the probability of rolling a number less than 5 is 4 times (1,2,3,4)

Not sure if I'm right or not but I hope this helps :)

gulaghasi [49]3 years ago

4 0

Answer:

Even Number - 3/6 or 1/2

Number less than 5- 4/6 or 2/3

Step-by-step explanation:

Even Number- There are 3 even numbers on a die (2, 4, and 6) and its 6 number in total on a die o its 3/6 or 1/2.

Number Less Than 5 - For a number LESS than 5 (1, 2, 3, and 4) and its 6 numbers on the die in total so its 4/6 or 2/3.

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3 years ago

What is 27 over 90 reduced to

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3 years ago

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3 years ago

Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).

shutvik [7]

Answer:

(x + 5)² + (y + 7)² = 288

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)

r = $\sqrt{(7+5)^2+(5+7)^2}$ = $\sqrt{12^2+12^2}$ = $\sqrt{288}$

Hence

(x - (- 5))² + (y - (- 7))² = ( $\sqrt{288}$ )², that is

(x + 5)² + (y + 7)² = 288

4 0

3 years ago

please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e

mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0

1 year ago