All categories

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:

alukav5142 [94]2 years ago

8 0

Answer:

4 outcomes

Step-by-step explanation:

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

Possible outcomes are

(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)

we look at the pairs that has sum 5

1+4 = 5

2+3= 5

3+2=5

4+1= 5

The outcomes that has sum 5 are (1,4) (2,3)(3,2) and (4,1)

so 4 possible outcomes that has sum 5

tatyana61 [14]2 years ago

4 0

4 outcomes
1,4
2,3
3,2
4,1

Hope this helps.

You might be interested in

A=<3,0,-1>, find a vector b such that comp(sub a) b=2.

Anna35 [415]

Compab=a.b/|a|
b=<0,1,−2√10>
a.b= 2√10
|a| = √10
a.b/|a|=2√10 / √10=2

5 0

2 years ago

Complete the following proof. Given: Points R, S, T, Q on circle O Prove: m\overarc RS + m\overarc ST + m\overarc TQ + m\overarc

LekaFEV [45]

Answer:

360°

Step-by-step explanation:

From the figure attached,

R, S, T and Q are the points on a circle O.

Since, "measure of an arc of a circle is equal to the measure of the angle subtended by the arc at the center."

By this statement,

$m(\widehat{RS})=m(\angle ROS)$

$m(\widehat{ST})=m(\angle SOT)$

$m(\widehat{TQ})=m(\angle TOQ)$

m(major arc RQ) = m(∠QOR)

Now $m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ})$ + m(major arc RQ) = $m(\angle ROS)+m(\angle SOT)+m(\angle TOQ)+m(\angle QOR)$

Since sum of all angles at a point = 360°

$m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ})$ + m(major arc RQ) = 360°

4 0

2 years ago

15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (98)x , represents t

Norma-Jean [14]

Answer:

I'm guessing you mean f(x)=15,000(9/8)^x. If this is what you mean, the population would increase by about 12,000 (12030.4870605 to be exact).

Step-by-step explanation:

Starting equation: f(x)=15,000(9/8)^x

You can clean up the 9/8 to be 1.125

Now what you want to do is find the answer to (9/8)^5 which is 1.8020324707

Next multiply 1.8020324707 by 15,000 and you get 27030.4870605

Finally 27,030.4870605 - 15,000 gives you 12030.4870605. Which means that the population increased by about 12,000.

0 0

2 years ago

Jordan is a single taxpayer with taxable income of $35,000. Use this tax bracket table to compute Jordan’s total tax due. Single

Anna007 [38]

Answer:

$4200

Step-by-step explanation:

12% of 35000, because it's between 9,526 and 38,700.

That is .12 * 35000 = $4200

6 0

2 years ago

There is a bell at the top of a tower that is 45m high. The bell weighs 190 kg. How much potential energy does the bell have?

Slav-nsk [51]

Answer:

83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

7 0

2 years ago