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ollegr [7]
3 years ago
6

Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20. 180 19.5 -4 90

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

x= -4

Step-by-step explanation:

2x+4=6x+20

so 2x-6x=20-4

divide both sides by -4

-4x/-4 = 16/4

=-4

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A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

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=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 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)

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

df=n-1=9-1=8

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(0.005,8)".And we see that t_{\alpha/2}=

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

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
Find the missing length indicated<br><br> Thank you!
Novay_Z [31]

Answer:

C

Step-by-step explanation:

The big triangle and small triangles are similar so their corresponding sides are in proportion.

x/15 = 15/9

x= 15*15/9

x=25

6 0
2 years ago
Which equation does not represent the percentage of the votes?
Vladimir [108]
I would say 92 * x = 115
5 0
3 years ago
Answer the question Please ASAP
stellarik [79]
Independent variable is number of friends

Dependent variable is cost
8 0
3 years ago
Read 2 more answers
2 more to go!!!! HELP ME!!!!!
Musya8 [376]

To divide complex numbers, you multiply by the conjugate. The conjugate is when you change the sign between the two terms in the denominator. Therefore, the conjugate in this one is (3+i)


\frac{13-i}{3-i} * \frac{3+i}{3+i} ← Then, you foil these guys:


\frac{(13-i)(3+i)}{(3-i)(3+i)} = \frac{40+10i}{10} = 4 + i or C

3 0
3 years ago
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