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tresset_1 [31]
3 years ago
12

Write a sentence that shows the commutative property of multiplication

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

5*9=9*5 and that shows it because 9 times 5 is equal to 5 times 9

You might be interested in
A survey on British Social Attitudes asked respondents if they had ever boycotted goods for ethical reasons (Statesman, January
Blababa [14]

Answer:

a) 27.89% probability that two have ever boycotted goods for ethical reasons

b) 41.81% probability that at least two respondents have boycotted goods for ethical reasons

c) 41.16% probability that between 3 and 6 have boycotted goods for ethical reasons

d) The expected number is 2.3 and the standard deviation is 1.33.

Step-by-step explanation:

We use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

23% of the respondents have boycotted goods for ethical reasons.

This means that p = 0.23

a) In a sample of six British citizens, what is the probability that two have ever boycotted goods for ethical reasons?

This is P(X = 2) when n = 6. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{6,2}.(0.23)^{2}.(0.77)^{4} = 0.2789

27.89% probability that two have ever boycotted goods for ethical reasons

b) In a sample of six British citizens, what is the probability that at least two respondents have boycotted goods for ethical reasons?

Either less than two have, or at least two. The sum of the probabilities of these events is decimal 1. So

P(X < 2) + P(X \geq 2) = 1

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

P(X = 0) = C_{6,0}.(0.23)^{0}.(0.77)^{6} = 0.2084

P(X = 1) = C_{6,1}.(0.23)^{1}.(0.77)^{5} = 0.3735

P(X < 2) = P(X = 0) + P(X = 1) = 0.2084 + 0.3735 = 0.5819

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5819 = 0.4181

41.81% probability that at least two respondents have boycotted goods for ethical reasons

c) In a sample of ten British citizens, what is the probability that between 3 and 6 have boycotted goods for ethical reasons?

Now n = 10.

P(3 \leq X \leq 6) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

P(X = 3) = C_{10,3}.(0.23)^{3}.(0.77)^{7} = 0.2343

P(X = 4) = C_{10,4}.(0.23)^{4}.(0.77)^{6} = 0.1225

P(X = 5) = C_{10,5}.(0.23)^{5}.(0.77)^{5} = 0.0439

P(X = 6) = C_{10,6}.(0.23)^{6}.(0.77)^{4} = 0.0109

P(3 \leq X \leq 6) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.2343 + 0.1225 + 0.0439 + 0.0109 = 0.4116

41.16% probability that between 3 and 6 have boycotted goods for ethical reasons

d) In a sample of ten British citizens, what is the expected number of people that have boycotted goods for ethical reasons? Also find the standard deviation.

E(X) = np = 10*0.23 = 2.3

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.23*0.77} = 1.33

The expected number is 2.3 and the standard deviation is 1.33.

5 0
3 years ago
What fraction of an hour is 45 minutes?<br> Give your answer in its simplest form.
Dvinal [7]

Answer:

3/4

Step-by-step explanation:

1 hour is 60 minutes

45 minutes

---------------------

60 minutes

Divide top and bottom by 15

3

----

4

3 0
2 years ago
Helppp I’ll make u a brainlister
fenix001 [56]

Answer:

108 deg

Step-by-step explanation:

Since sides DB and CD are congruent, then opposite angles are congruent.

m<C = m<B = 36

m<B + m<C + m<D = 180

36 + 36 + m<D = 180

m<D = 108

7 0
3 years ago
Jing- sheng made a scaled copy of the following rhombus. He used a scale factor greater than 1. What could be the side length of
S_A_V [24]

Answer:

See below.

Step-by-step explanation:

You don't provide the original side length, but since the scale factor is greater than 1, all correct answers are lengths that are greater than the original side length.

Answer: choose any two numbers that are greater than the original length.

6 0
3 years ago
Read 2 more answers
If b is 50 degrees, what is the measure of angle d? (Write the number only)
DerKrebs [107]

Answer:

50º

Step-by-step explanation:

Angle D & B are vertical angles, meaning they are equal in measure.

So if Angle B = 50º, then Angle D must also be 50º.

Hope this helps! Have a great day!

7 0
2 years ago
Read 2 more answers
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