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4 years ago

Answers? with explanations

Mathematics

1 answer:

Alinara [238K]4 years ago

4 0

Okay, so basically we have:
w as width; and 6+w as length

Perimeter=2w+2l

just substitute it with the values of width and length

P=2w+2(6+w)
P=2w+12+2w
P=4w+12

So, the answer is letter B.

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Cv0627

kari74 [83]

Answer:

dr. potter provides 54 vaccinations TOTAL (including both measles and polio).

p+m=54

since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.

4p+2m=142

p+m=54

4p+2m=142

^^system of equation

p+m=54

4p+2m=142

p=54-m

4p+2m=142

(substitute 54-m to the equation)

4(54-m)+2m=142

m=37

(collect like terms, then substitute the value of m into the first equation)

p=54-37

p=17

(m, p)=(37, 17)

Step-by-step explanation:

i hope this helps, sorry for the wait

5 0

3 years ago

George bought a lawnmower which had a list price of $360. If he got a 20% discount on the purchase, how much did he pay for the

julia-pushkina [17]

Answer:

$288.00

Step-by-step explanation:

$360.00

20%

=$288.00

3 0

4 years ago

which of these is a subset of rational numbers? a. integers b. natural numbers c. whole numbers d. all of the above

Sergeeva-Olga [200]

D. All of the above. They are all rational numbers

3 0

3 years ago

The water level in a swimming pool decreases from 60 inches to 58.25 inches in one week.

Keith_Richards [23]

I think it’s gonna be A.

8 0

3 years ago

A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 85% confidence inter

Gre4nikov [31]

Answer:

$7.3-1.440\frac{1.2}{\sqrt{830}}=7.240$

$7.3+1.440\frac{1.2}{\sqrt{830}}=7.360$

So on this case the 85% confidence interval would be given by (7.2;7.4)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=7.3$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma =1.2$ represent the population standard deviation

n=830 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since the Confidence is 0.85 or 85%, the value of $\alpha=0.15$ and $\alpha/2 =0.075$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.075,0,1)".And we see that $z_{\alpha/2}=1.440$

Now we have everything in order to replace into formula (1):

$7.3-1.440\frac{1.2}{\sqrt{830}}=7.240$

$7.3+1.440\frac{1.2}{\sqrt{830}}=7.360$

So on this case the 85% confidence interval would be given by (7.2;7.4)

7 0

3 years ago