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2 years ago

Two 6-sided dice are rolled at the same time. How many outcomes correspond to the event that the sum of the numbers is 5?

Mathematics

2 answers:

andrew11 [14]2 years ago

8 0

Answer: 4.

Step-by-step explanation:

Given : Two 6-sided dice are rolled at the same time.

The total outcomes on each die :-

{1 , 2, 3, 4, 5, 6}

The outcomes in the the event that the sum of the numbers is 5 are :_

(1,4), (4,1) (2,3), (3,2)

Therefore, the number of outcomes in the the event that the sum of the numbers is 5 are 4.

Mnenie [13.5K]2 years ago

5 0

2/12 that is the answer i got

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Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start

Anarel [89]

Answer: The frog fell asleep for 4 nights.

Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.

7 0

2 years ago

Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

ki77a [65]

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.

The distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the above formula we get,

$WX=7$

$XY=5$

$YZ=7$

$WZ=5$

The length of opposing sides are equal.

Using the Pythagoras theorem, the length of diagonal WY and XZ are

$WY=\sqrt{(WX)^2+(XY)^2}=\sqrt{7^2+5^2}=\sqrt{74}$

$XZ=\sqrt{(XY)^2+(YZ)^2}=\sqrt{5^2+7^2}=\sqrt{74}$

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

$A=l\times w$

Where l is length and w is width.

The area of given polynomial is

$A=5\times 7$

$A=35$

Therefore the area of the polynomial is 35 square unit.

6 0

2 years ago

Ethan and Leo start riding their bikes at the opposite ends of a 65-mile bike path. After Ethan has ridden 1.5 hours and Leo has

Ksenya-84 [330]

let Leo's speed = x mile/hr

so Ethan speed = (x + 6) miles per hour

Distance = Speed × Time

so distance traveled by Leo in 2 hours = x × 2 = 2x

and distance traveled by Ethan in 1.5 hours = 1.5( x + 6 ) = 1.5x + 9

since they meet on the path , After Ethan has ridden 1.5 hours and Leo has ridden 2 hours , so together the have traveled on complete path that is 65 miles.

⇒ distance traveled by leo in 2 hours + distance traveled by Ethan in 1.5 hours = 65

⇒ 2x + 1.5x + 9 = 65

⇒ 3.5x = 56

⇒ x = 16

Hence Leo's speed = x miles/hr = 16 miles/hour

and Ethan's speed = (x + 6) miles/hr = 16 +6 = 22 mile/hour

6 0

2 years ago

A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time If he was paid $168, how many

Tems11 [23]

He worked 8 more hours overtime. Good luck with the rest of your homework..

5 0

2 years ago

Read 2 more answers

Max's cell phone plan charges a monthly

ludmilkaskok [199]

Answer:

Step-by-step explanation:

7.41 / 0.13 = 57

57 - 15 = 42

42 / 2 = 21

21, 36

6 0

2 years ago