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PolarNik [594]
3 years ago
13

Holsen wants to know the theoretical and experimental probability of rolling a number larger than a 3 on a 6-sided number cube n

umbered 1 to 6. He rolls the number cube 6 times and records the results in this table.
4 1 3
3 5 2
Drag and drop the answers in the boxes to correctly complete the sentences comparing theoretical probability and experimental probability.

The theoretical probability of rolling a number larger than 3 is ________ because this is what ______. The experimental probability of rolling a number larger than 3 is _______ because this is what ______.
Mathematics
1 answer:
Artemon [7]3 years ago
4 0

Answer:

The theoretical probability of rolling a number larger than 3 is 1/2 because this is what we expect to happen. The experimental probability of rolling a number larger than 3 is 1/3 because this is what actually happened.

Step-by-step explanation:

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A craftsman can sell 10 jewelry sets for $500 each. He knows
liraira [26]

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning=\text{Price of each set}\times \text{no of set}

Earning =(500-25n)(10+n)

E=5000+500n-25n^2-250n

differentiate to get the maximum value

\frac{dE}{dn}=-50n+250

Equate \frac{dE}{dn} to get maximum value

-50n+250=0

n=\frac{250}{50}

n=5

Thus must sell 5 extra set to maximize its earnings.

5 0
3 years ago
The area of a rectangle is 27ft squared, and the length of the rectangle is 3ft less than twice the width. Find the dimensions o
oksano4ka [1.4K]

Answer:

width =4.5ft

length=6ft

Step-by-step explanation:

w = x

L = 2x-3

area = L*w

27 = x(2x-3)

27=2x^{2} -3x

2x^{2} -3x-27=0

2x^{2} +6x-9x-27=0

2x(x+3)-9(x+3)=0

(2x-9)(x+3)=0

2x-9=0

2x=9

x=9/2

x=4.5

L=2x-3=2*4.5-3 =9-3=6

6 0
3 years ago
n the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the
aniked [119]

Answer:

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

a) 2x + 3x + 9

b) 2x + 3 + 9

c) 2x + 3x + 9x

d) 2 + 3x + 9

Answer:

a) 2x + 3x + 9

Step-by-step explanation:

3 0
3 years ago
Of the 58 employees in a firm, 8 are considered support staff, and 7 of the employees have more than five years of experience. A
polet [3.4K]

Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.

<h3>What is the union of events J and K?</h3>

It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.

<h3>What is the complement?</h3>

The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:

15 + x = 58

x = 43.

The number of outcomes that are possible for the complement of the union of Events J and K is of 43.

More can be learned about complementary events at brainly.com/question/9752956

6 0
2 years ago
What is the value of x?​
myrzilka [38]

Answer:

<h2>x = 20</h2><h2 />

Step-by-step explanation:

∠VRW and ∠TRS form a pair of vertical angles then they are congruent

therefore

3x = x + 40

⇔

2x = 40

⇔

x = 20

5 0
3 years ago
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