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3 years ago

Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5

Mathematics

1 answer:

aniked [119]3 years ago

4 0

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The distributive property of multiplication states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

$a*(b+c)=a*b+a*c$

in this problem we have

$-3*(6+5)=-3*6+-3*5$ ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

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10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time vi

vekshin1

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.

There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

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

$P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044$

More can be learned about the binomial distribution at brainly.com/question/24863377

8 0

1 year ago

Use the formula v = u + at to find the velocity when the initial velocity is 3 m/s the acceleration is 1.5 m/s the time is 7 s

vichka [17]

$answer \\ 13.5 \: m/s \\ given \\ initial \: velocity(u) = \: 3 \: m/s \\ acceleration(a) = 1.5 \: m/s ^2\\ time(t) = 7 \: second \\ now \\ v = u + at \\ or \: v = 3 + 1.5 \times 7 \\ \: or \: v = 3 + 10.5 \\ v = 13.5 \: m/s \\ hope \: it \: helps$

4 0

2 years ago

What is the value of p so that the expression 6x+3−(8x−5) is equivalent to (px+8) ?

Harman [31]

6x+3-(8x-5)
=
-2x(x-4)
=
2x+8
=
p = 2

8 0

3 years ago

In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random a

Masteriza [31]

The solution to the answer is as follows:

0votesanswered Aug 8, 2015 by Shashi Kumar Evangelist (3,082 points)total coins 30
1 rupee coins 20
50 paise coins 10

1 rupee coin probability 20C11
11 coin are picked 30C11
ans should be = 20C11/30C11 = 2/3
I hope my answer has come to your help. God bless and have a nice day ahead!

7 0

3 years ago

Dali rolled up his painting and placed it in a cylinder 2 inches diameter. If the cylinder is 20 inches long find its volume. Ro

alekssr [168]

Answer:

The correct answer is 63 cubic inches.

Step-by-step explanation:

Dali rolled up his painting and placed it in a cylinder 2 inches diameter.

Diameter of the painting is 2 inches. This also implies diameter of the cylinder is 2 inches.

Radius of the cylinder is 1 inch.

Length of the cylinder is 20 inches.

Volume of the cylinder is given by π × $r^{2}$ × h = π × $1^{2}$ × 20 = 20π = 62.85 cubic inches ≈ 63 cubic inches.

Therefore the volume of the cylinder in which Dali placed his painting is given by 63 cubic inches.

3 0

3 years ago