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2 years ago

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

Mathematics

2 answers:

muminat2 years ago

8 0

Commutative property.

Marizza181 [45]2 years ago

4 0

Commutative property - a property that allows you to switch numbers around in a equation and still get the same answer
Therefore, Joshua is using the commutative property.

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Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,

Serhud [2]

Arranging data in ascending order to identify the outlier and calculate the mean

Step-by-step explanation:

Given the data as: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arrange in ascending order

[1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is 32

Finding the mean;

Mean=sum of data set/number of data set

Sum= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Number of data set=11

Mean=124/11=11.27

Learn More

Outliers: brainly.com/question/12612191

Keywords: display,data, numbers,outliers,mean

#Learnwithbrainly

3 0

2 years ago

A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly locat

DiKsa [7]

Answer:

The probability of a selection of 50 pages will contain no errors is 0.368

The probability that the selection of the random pages will contain at least two errors is 0.2644

Step-by-step explanation:

From the information given:

Let q represent the no of typographical errors.

Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let $\mu$ be the random variable that follows a Poisson distribution, then mean $\mu = \dfrac{10}{500}= 0.02$

and the mean that the random selection of 50 pages will contain no error is $\lambda = 50 \times 0.02 =1$

∴

$Pr(q= 0) = \dfrac{e^{-1} (1)^0}{0!}$

Pr(q =0) = 0.368

The probability of a selection of 50 pages will contain no errors is 0.368

The probability that 50 randomly page contains at least 2 errors is computed as follows:

P(X ≥ 2) = 1 - P( X < 2)

P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2

$P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ]$

$P(X \geq 2) = 1 - [0.3678 +0.3678]$

$P(X \geq 2) = 1 -0.7356$

P(X ≥ 2) = 0.2644

The probability that the selection of the random pages will contain at least two errors is 0.2644

6 0

2 years ago

The age of Tony and Vihaan are in the ratio of 8:7. Six years later, their ages will be in the ratio 10:9. Find their ages.

Alex_Xolod [135]

Answer:

24 and 21

Step-by-step explanation:

the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )

In 6 years

8x + 6 : 7x + 6 = 10 : 9

Express the ratio in fractional form

$\frac{8x+6}{7x+6}$ = $\frac{10}{9}$ ( cross- multiply )

9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides

72x + 54 = 70x + 60 ( subtract 70x from both sides )

2x + 54 = 60 ( subtract 54 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

Tony = 8x = 8 × 3 = 24

Vihaan = 7x = 7 × 3 = 21

4 0

2 years ago

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Ford Motor Company sells the Fusion SES for $24,400. The Fusion Hybrid sells for $29,975. What is the percentage increase in pri

Lubov Fominskaja [6]

Percent increase is:
Change/original * 100
(29975-24400)/24400
5575/24400= .228 * 100=
22.8%

6 0

2 years ago

Read 2 more answers

Ariana starts with 100 milligrams of a radioactive substance. The amount of the substance decreases by 20% each week for a numbe

Kruka [31]

Answer:

D. It is the product of the initial amount and the decay factor after w weeks.

Step-by-step explanation:

We are told that Ariana starts with 100 milligrams of the substance. The number 100 in the expression likely represents this amount, <em>the initial amount</em>. It is multiplied by another number, so is part of a product. (It is not part of a difference, and is not something that is raised to a power.)

The factor (1 -0.2) represents the fraction remaining at the end of a week. That number raised to the power w will represent the fraction remaining at the end of w weeks. This fraction can reasonably be referred to as "the decay factor after w weeks."

Hence, the expression represents ...

<em>the product of the initial amount and the decay factor after w weeks</em>

6 0

2 years ago