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QveST [7]
2 years ago
8

Find one value of r that is a solution to the equation: (x - 2)^2 – 6(x - 2) + 5 = 0 x=?

Mathematics
1 answer:
vladimir2022 [97]2 years ago
5 0
Verify the following identity’s.
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7x - 4 = -4 Solve for x. Please show your work. Thanks!
Bingel [31]
X=0 is definitely the answer but I belive how u solve it is 7×X=0 and that leaves -4 because it would be 0-4 so u just take out the zero. I think, but the answer is 0.
7 0
3 years ago
Read 2 more answers
Use spherical coordinates. let h be a solid hemisphere of radius 1 whose density at any point is proportional to its distance fr
MA_775_DIABLO [31]
Whereas the density of the hemisphere at any point is proportional to it's density, then 

 The full answer in attachment, we use the partial integral using the <span>spherical coordinates, 

and we find that </span>the mass of h = <span>πK/2</span>

7 0
3 years ago
An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume
Lynna [10]

Answer:

a) 21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

b) ME=2.58\frac{52}{\sqrt{350}}=7.17

c) ME=2.58\frac{52}{\sqrt{100}}=13.42

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

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".  

Part a

\bar X=21 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=52 represent the population standard deviation  

n=350 represent the sample size  

99% confidence interval  

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

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: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58  

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

21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

Part b

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{350}}=7.17

Part c

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{100}}=13.42

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

6 0
2 years ago
Find the exact value of Tan(-420)
Kitty [74]
Tan(-420) is -1.73205
3 0
2 years ago
Read 2 more answers
Cause I lowkey suck at math How do I do this
dimaraw [331]
1. The slope is -2/5 not 3-/10
5 0
3 years ago
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