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Murljashka [212]
2 years ago
7

To find 36+29+14, Joshua rewrote the expression as 36+14+29. What property did Joshua use to rewrite the expression?

Mathematics
1 answer:
galben [10]2 years ago
3 0
Associative property
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The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.20.
MatroZZZ [7]

Answer:

a) the probability is 0.0734 (7.34%)

b) the probability is 0.7382 (73.82%)

c) 10 boxes

Step-by-step explanation:

Since each box is independent of the others and defining the random variable X= number of boxes of cereal purchased without prices until having 2 prices , then X has a negative binomial distribution . Thus

P(X=k)= C(k+r-1,k)*p^k *(1-p)^r

where

p= probability to not obtain a price when a box is purchased = 1- 0.2 = 0.8

C ( ) = combinations

k = number of boxes without prices

r= number of boxes with prices=2

P(X=k) = probability of purchasing k boxes without prices until obtaining r boxes with prices

a) for k= 8 - r = 6

P(X=6)= C(7,6)*0.8^6*0.2^2 = 7*0.8^6*0.2^2 = 0.0734 (7.34%)

b) for k≥9-2=7

P(X≥7) = 1- P(X<7)= 1- Fn(X=7)

where Fn(X) is the cumulative negative binomial distribution. We can calculate it through its relationship with the cumulative binomial distribution Fb(X) that is easily found in tables :

Fn(k=7,r=2,p=0.8) = Fb(k=7,n=k+r=9,p=0.8) = 0.2618

thus

P(X≥7) = 1- P(X<7)= 1- Fn(X=7) = 1-  0.2618 = 0.7382 (73.82%)

c) the expected value E(X) for a negative binomial distribution is

E(X)= p*r/(1-p) = 0.8*2/0.2 = 8 boxes that do not contain prices

thus

n=k+r = 8 + 2 = 10 boxes

6 0
3 years ago
Which group had the highest percentage of students like Sport.
Vesnalui [34]

The group that had the highest percentage of students that like Sports is  group B.

The group that had the less percentage of students that like English is group A.

the percentage of students like Math in group A is 30% and 10% in group B

<h3>What are the percentages?</h3>

A pie chart is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

Percentage of students that like sports in:

  • Group A = [20 / (20 + 15 + 5 + 10)] x 100 = 40%
  • Group B = [22 / (5 + 4 + 9 + 22)] x 100 = 55%

Percentage of students that like English in:

  • Group A = [5 / (20 + 15 + 5 + 10)] x 100 = 10%
  • Group B = [5 / (5 + 4 + 9 + 22)] x 100 = 22.5%

Percentage of students that like Maths in:

Group A = [15 / (20 + 15 + 5 + 10)] x 100 = 30%
  • Group B = [4 / (5 + 4 + 9 + 22)] x 100 = 10%

To learn more about pie charts, please check: brainly.com/question/26250795

#SPJ1

5 0
2 years ago
Substitute the value n = 4 in the expressions<br><br>2n<br>n + 2<br>3(n+4)​
Lelu [443]

Step-by-step explanation:

Given n = 4

2n = 2* 4= 8

n + 2 = 4 + 2 = 6

3(n + 4) = 3( 4 + 4) = 3 * 8 = 24

Hope it will help :)

4 0
2 years ago
A circle with the diameter of 20 mm is showing what is the exact Sir conference obvious and then question to what is the approxi
yaroslaw [1]

Answer:

The approximate circumference is 62.8 mm

Step-by-step explanation:

Circumference is basically the perimeter of the circle

Circumference is given by

2 *\pi *r

Here the diameter is 20 mm, so the radius will be half of diameter = 10 mm

Substituting the given values, in above equation, we get -

Circumference =

2 *3.14 * 10 \\62.8mm

The approximate circumference is 62.8 mm

3 0
2 years ago
Please help! Identify each decimal number as either rational or irrational.
labwork [276]

Answer:

A Rational number is a number that can be written as a ratio in fraction form.

An Irrational number is a number that, when in decimal form, does not terminate or repeat.

Step-by-step explanation:

1.485 can be written as 1 485/1000 - it is rational

0.187345911... continues on and does not repeat - it is irrational

333.051422218... continues on and does not repeat - it is irrational

0.2268715 can be written as 2268715/10000000 - it is rational

1.24 can be written as 1 24/100 - it is rational

6 0
3 years ago
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