Ask question

Ask question

All categories

2 years ago

15

Two number cubes are rolled to determine how a token moves on a game board. The sides of

1 answer:

ahrayia [7]2 years ago

8 0

Answer:

D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.

Step-by-step explanation:

The result of a product is odd only when the two numbers are odds.

There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.

P(even) = 27/36 = 0.75

Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1

Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5

You might be interested in

Given the similarity statement ΔDEF ∼ ΔXYZ, which side corresponds with ED¯¯¯¯¯¯¯¯? Question 2 options: A) EF¯¯¯¯¯¯¯¯ B) ZY¯¯¯¯¯

avanturin [10]

Answer:

Option C.

Step-by-step explanation:

The given similarity statement is

$\Delta DE F\sim \Delta XYZ$

We need to find the side which is corresponds with ED.

According to the given similarity statement the pairs of corresponding sides are:

$DE\text{ and }XY\Rightarrow ED\text{ and }YX$

$EF\text{ and }YZ\Rightarrow FE\text{ and }ZY$

$DF\text{ and }XZ\Rightarrow FD\text{ and }ZX$

Since, YX is corresponds with ED, therefore, the correct option is C.

6 0

1 year ago

Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?

vredina [299]

A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n

7 0

1 year ago

Read 2 more answers

2.14x - 42.9 for x = 22.4 ?<br> A. -18.36<br> B. 5.026<br> C. 47.939<br> D. 90.839

Fynjy0 [20]

Answer:

Step-by-step explanation:

Your answer would be B., because you would multiply

2.14 x 22.4 =

47.939

then you will subtract that by 42.9

47.939 - 42.9 =

5.026

7 0

2 years ago

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne

Oksanka [162]

Answer:

The perimeter is $(8\sqrt{2}+2\sqrt{10})\ units$

Step-by-step explanation:

we know that

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal

so

In this problem

PS=QR ----> equation A

SR=PQ ----> equation B

The perimeter of parallelogram PQRS is

P=PQ+QR+SR+PS ----> equation C

substitute equation A and equation B in equation C

$P=2SR+2QR$

we have

$QR=\sqrt{10}\ units$

$SR=4\sqrt{2}\ units$

substitute in the formula of perimeter

$P=2(4\sqrt{2})+2(\sqrt{10})$

$P=(8\sqrt{2}+2\sqrt{10})\ units$

7 0

1 year ago

Read 2 more answers

Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When th

trasher [3.6K]

I'm sorry I do not know how to set up the equation but I do know it's 17 hours because 7(30)= 210 and 10(20)= 200 and 200+210=410

5 0

2 years ago