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2 years ago

Which algebraic expression represents the perimeter of the rectangle? 2x + 2 4x + 3

Mathematics

2 answers:

Colt1911 [192]2 years ago

5 0

Answer:

12x + 10

Step-by-step explanation:

Combine the like terms. 4x + 2x and 2 + 3. Parallel sides, 6x times 2 which is 12x. 5 times 2 which is 10. Therefore, your answer is 12x + 10

Lapatulllka [165]2 years ago

4 0

I’m pretty sure it’s the 3rd one

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A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level

cupoosta [38]

Answer:

The sample required is $n = 135$

Step-by-step explanation:

From the question we are told that

The standard deviation is $\sigma = 9$

The margin of error is $E = 2$

Given that the confidence level is 99% then the level of significance is mathematically evaluated as

$\alpha = 100-99$

$\alpha = 1 \%$

$\alpha = 0.01$

Next we will obtain the critical value $\frac{\alpha }{2}$ from the normal distribution table(reference math dot armstrong dot edu) , the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 2.58$

The sample size is mathematically represented as

$n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2$

substituting values

$n = [ \frac{ 2.58 * 9 }{2} ]^2$

$n = 135$

3 0

2 years ago

I'm not sure what this means, please help me I'll give you 10 points ;)

Karo-lina-s [1.5K]

Answer:

So all the possible solutions are:

$\bold{523,~400,~379~and,~378.6}$

Solution Steps:

First you need to solve the real inequality to understand how to find the rest of the possible equations.

Add 78 to both sides:

$78+78=$ Cancels Out

$300+78=378$

So now we know the real answer, but it ask for all possible answers.

(Means anything larger than 300 when you plug it into x - 78 > 300.)

Numbers that are greater than 378:

1.) $377-78=299 > 300$ (False)

2.) $523-78=445>300$ (True)

3.) $0-78=-78>300$ (False)

4.) $-62-78=-140>300$ (False)

5.) $400-78=322>300$ (True)

6.) $379-78=301>300$ (True)

7.) $222-78=144>300$ (False)

8.) $378.6-78=300.6>300$ (True)

______________________________

$\bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}$

5 0

2 years ago

The fair spinner shown in the diagram above is spun.

Katena32 [7]

Unable to provide a definitive answer due to lack of diagram.

Answer: 1/4

Step-by-step explanation:

Multiples of 6:

Multiples of 6 are numbers obtained when 6 is multiplied by an integer. Such as

(6*1) = 6, (6*2)=12, (6*3) = 18..... and so on.

Probability is calculated by finding the ratio of the required outcome and total possible outcomes.

Probability = required outcome / Total possible outcomes

P(multiple of 6) = number of multiples of 6 / total number of possible outcomes

If number of 6 multiples = 5 and

Total number of faces in the spinner = 20

Then :

P(multiple of 6) = 5/20 = 1/4

5 0

3 years ago

Solving equations and distributive property

Tomtit [17]

Answer:

x=20

Step-by-step explanation:

2(x+10)=60

distribute 2 by multiplying numbers in parenthesis

2x+20=60

subtract 20 from both sides

2x=40

divide both sides by 2

----------

x=20

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4 0

3 years ago

The exponent portion of a scientific number can be less than 1 true or false

WITCHER [35]

Answer:

True

have a nice day!!

4 0

2 years ago