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3 years ago

Which expressions are equivalent when m=1 and m=4? (picture attached)

Mathematics

2 answers:

laiz [17]3 years ago

8 0

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the expressions

$\text{5m-3 and 2m+5+m}$

$\text{3m+4 and m+4+2m}$

$\text{2m+7 and 3m-3+m}$

$\text{5m+3 and 4m+2+2m}$

we have to choose the option for which the expressions are equivalent when m=1 and m=4.

The substitution of values shown in table in attachment.

The only option 2 which gives the same values for m=1 and m=4 in both the expressions.

∴ Option 2 is correct.

Neporo4naja [7]3 years ago

4 0

The second one is the only equivalent equation. Simply plug in each variable in each equation. And compare!

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One electrician charges his customers a $60 service fee plus $35 per hour.

gavmur [86]

Answer:

2 hours; $130

Step-by-step explanation:

We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:

65 * x = 60 + 35* x

30 * x = 60

x = 2 hours

The cost will be the same at two hours, and plugging it in, we can get 65*2=130.

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2 years ago

What is the last digit of 2¹³?

Hitman42 [59]

Answer:

Step-by-step explanation:

2^13= 8192 and the last digit is 2.

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3 years ago

Which property is used in the first step to solve this equation?

melomori [17]

Answer:

distributive property

Step-by-step explanation:

we know the distributive property states that the multiplication of a number (in this case, the number 4) by a sum (in this case is a subtraction: x-6) is equal to the sum of the multiplications of that number for each of the terms that belong to the sum:

we have: 4(x-6)

we apply the distributive property, so we have

4(x-6)=4*x-4*6

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3 years ago

What is 2.5 (x - 1) + 4.5 (-x - 2)

yaroslaw [1]

Answer:

2.5(x-1)+4.5(-x-2)

2.5x-2.5-4.5x-9

-2x-11.5

Step-by-step explanation:

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3 years ago

Read 2 more answers

4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep

bagirrra123 [75]

Answer:

A sample of 18 is required.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.92}{2} = 0.04$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.04 = 0.96$ , so Z = 1.88.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the standard deviation was 2.2 days.

This means that $\sigma = 2.2$

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$1 = 1.88\frac{2.2}{\sqrt{n}}$

$\sqrt{n} = 1.88*2.2$

$(\sqrt{n})^2 = (1.88*2.2)^2$

$n = 17.1$

Rounding up:

A sample of 18 is required.

3 0

3 years ago