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exis [7]
3 years ago
13

25° У x 120° y = [ ? ] Enter

Mathematics
2 answers:
Mkey [24]3 years ago
6 0

9514 1404 393

Answer:

  y = 95°

  x = 60°

Step-by-step explanation:

The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:

  120° = 25° +y

  95° = y . . . . . . . . . . subtract 25° from both sides

_____

If you like, you can get there by calculating x (or not):

  x = 180° -120°

  y = 180° -25° -x = 180° -25° -(180° -120°)

  y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x

Alex3 years ago
5 0
95 degrees

you do 180-120 and get 60 and then add 60 and 25 together and that is 85. then u do 180-85 and get 95
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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.

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3 years ago
Simplify 8-(-5) - 4(-7).<br> О-63<br> оо ООО
Sergeeva-Olga [200]
8- (-5) - 4 (-7) = 41
3 0
3 years ago
the direction angle for vectors 135° the X component of the vector is -3 what is the Ywhat is what what is the Y component of th
blagie [28]
Well, the X component (assuming x is the horizontal) is equal to RCosZ

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R = 4.24264...
R = 4.24 (2dp)

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Please feel free to ask any questions you have
3 0
3 years ago
(Score for Question 2: ___ of 5 points)
GuDViN [60]

Answer:

Answer:

Since you don't show your triangles, I'm guessing it is this one...?

△DWP  D = (-2, 4), W = (-1, 2), P = (3, 3)

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There are 2 steps:

1. 90° counterclockwise rotation about the origin

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Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

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D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Therefore △DWP IS congruent to △MJS.

4 0
3 years ago
What is 412, 825 round to the nearest ten?
RideAnS [48]
Tens place is 2
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412,830
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