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2 years ago

50 points!!! please hurry i need this answer . see pic below

Mathematics

1 answer:

Elza [17]2 years ago

8 0

Sum of two Interiors=Exterior

$\\ \rm\rightarrowtail x+20+3x-7=7x-17$

$\\ \rm\rightarrowtail 4x+13=7x-17$

$\\ \rm\rightarrowtail -3x=-30$

$\\ \rm\rightarrowtail x=10$

m<NOP=7(10)-17=70-17=53

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The problems in the picture

yarga [219]

Answer: a :)

Explanation:

6 0

2 years ago

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

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:

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$

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

$62-2.72\frac{8}{\sqrt{36}}=58.373$

$62+2.72\frac{8}{\sqrt{36}}=65.627$

So on this case the 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0

3 years ago

Which one is smallest 0.28,1/4,15%,0.65,32%,1/3

sveticcg [70]

Answer:

15%

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Whats a linear function

slega [8]

Answer:

A Linear Function is any function that graphs to any straight line. It can be consist of one or 2 or more variables but the degree or the exponent value of the variable shouldn't be greater than 1. it can be 0 but not greater than one .

Step-by-step explanation:

f(x)= y= a +bx , is the example of linear fucntion where the variable x has the exponent value of 1 ,

but the function f(x)= y= a+bx^2 is not a linear function because the exponent value of variable x is 2 .

Also if the Value of Exponent of the variable is in negative, that will be also a non linear function .

3 0

2 years ago

(PLEASE HELP 15 POINTS I HAVE 7 MINS) explain your awnser what are the x- and the y-interceptions of 3x - 2y = 18

S_A_V [24]

The given equation is

$3x-2y=18$

x intercept

To find the x intercept, we have to plug 0 for y and solve for x.That is

$3x-2(0)=18
\\
3x=18
\\
x=6$

So x intercept is (6,0) .

y intercept

To find the y intercept , we have to plug 0 for x and solve for y. That is

$3(0)-2y=18
\\
-2y=18
\\
y=-9$

So the y intercept is (0,-9) .

4 0

3 years ago