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jasenka [17]
3 years ago
7

H E L P A S A P ( 20 pts!!! reee- will mark u the brainliest if u explain this properly ^-^)

Mathematics
2 answers:
lions [1.4K]3 years ago
5 0

Answer:

6(2n-3)

Step-by-step explanation:

Factor out 6 from the expression

tamaranim1 [39]3 years ago
5 0

Answer:

6 :)

Step-by-step explanation:

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On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?
WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is 1\ inch: 20\ miles

That means

1 inch on a map represent 20 miles in the city

so

An area of (1)(1)=1\ in^2 on a map represent an area of (20)(20)=400\ mi^2 in the city

Applying proportion

\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2

3 0
3 years ago
Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin
NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)  

Step-by-step explanation:

1) 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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

2) Confidence interval

Assuming that \bar X =5.5 and the ranfom sample n=1086.

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

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

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=1086-1=1085

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that t_{\alpha/2}=2.33

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

5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139    

5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861

So on this case the 95% confidence interval would be given by (5.139;5.861)    We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

5 0
3 years ago
In a survey, 30% of those questioned chose autumn as their favorite season. If 27 people chose autumn, then how many people were
makkiz [27]
90 people!

27/90=0.3

0.3x100= 30%

Hope that helped! :)
3 0
3 years ago
Read 2 more answers
What is the solution to the system of equations?<br> x = -4y<br> 3x + 2y = 20
sergeinik [125]

Answer:

(x, y) = (8, -2)

Step-by-step explanation:

Substitute:

3(-4y) + 2y = 20

-12y + 2y = 20

-10y = 20

y = -2

x = -4(-2) = 8

3 0
3 years ago
Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!
iogann1982 [59]
They are used for making the sides of a triangle into a ratio. Sine is opposite of the angle divide by the hypotenuse, cosine is adjacent divided by the hypotenuse, and tangent is the opposite divided by the adjacent. Sine is the y-component, cosine is the x-component, and tangent is the ratio of sine/cosine or can also be considered the slope.
7 0
2 years ago
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