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Whitepunk [10]
2 years ago
10

Use the distributive property to write the following expression in expanded form. 2(b+c)

Mathematics
2 answers:
spin [16.1K]2 years ago
5 0

Answer:

2b+2c

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

A(B+C)=AB+AC

In our example, the resulting expression will consist of 2 terms:

the first term is a product of 2 and b.

the second term is a product of 2 and c.

Hope this helps! if so please mark brainliest and rate/heart if it did!

dimaraw [331]2 years ago
4 0

Answer:

2b + 2c

Step-by-step explanation:

If you distribute the 2 in b and c you will get to separate terms that will be added together. Since they are not like terms they cannot be combined.

The distributive property means you just multiply the outside number by the terms in the parenthesis. So 2 * b and 2 * c

2(b + c)\\2(b + 2c)

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A partial listing of monthly start-up costs for a store includes $2,800 for rent, $650 for electricity, $285 for telephone and I
KIM [24]
The total monthly start up cost for the shop is given by:
Total cost=(cost of rent+cost for electricity+ cost for telephone+cost of internet+salaries+cost of cleaning+cost of supplies)
=2800+650+285+9550+800+300
=$ 14385
Thus the total cost is $14385
6 0
3 years ago
A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat
AveGali [126]

Answer:

a) 68% probability that the sample mean will be within ±5 of the population mean.

b) 95% probability that the sample mean will be within ±10 of the population mean.

Step-by-step explanation:

To solve this problem, we have to understand the Empirical Rule and the Central Limit Theorem

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s= \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

Mean: \mu = 200

Standard deviation of the population: \sigma = 50

Size of the sample: n = 100

Standard deviation for the sample mean: s = \frac{50}{\sqrt{100}} = 5

a.What is the probability that the sample mean will be within ±5 of the population mean?

5 is one standard deviation from the mean.

By the Empirical Rule, 68% probability that the sample mean will be within ±5 of the population mean.

b.What is the probability that the sample mean will be within ±10 of the population mean?

10 is two standard deviations from the mean

By the Empirical Rule, 95% probability that the sample mean will be within ±10 of the population mean.

4 0
3 years ago
Maggie’s brother is 11 years younger than twice her age. The sum of their ages is 31. How old is Maggie?
charle [14.2K]

Hey there!

Let's write this as a system of equations.

m+b=31

b= 2m-11

Let's plug our value for b into the first equation and solve for m.

m+2m-11=31

Let's combine like terms.

3m-11=31

We add 11 to both sides.

3m=42

We divide both sides by 3.

m=14

Therefore, Maggie is <u>14 years old.</u>

I hope this helps!

5 0
3 years ago
Read 2 more answers
Please help me with my question ​
Fed [463]

Answer:

14.3%

Step-by-step explanation:

subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%

7 0
2 years ago
Read 2 more answers
Looook below giving brainliest
Liula [17]

Answer:

A.

5

4            .

3            .            .

2  .         .            .

1   .         .            .           .

 0-9  10-19  20-29  30-39

B.10

C.40%

Step-by-step explanation:

hope u see the dots

3 0
3 years ago
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