Answer:
The angles in the diagram add up to 90°
To find x add the two angles and equate them to 90°
That's
8x + 50 = 90
8x = 90-50
8x = 40
Divide both sides by 8
8x/8 = 40/8
x = 5
Hope this helps you
Answer:
11.67 rounded to the nearest hundredth
Step-by-step explanation:
You would just do the pythagorean theorem the same way but start out by entering 12.333333333... into your calculator, squaring it, and then subtracting 16 to get 136.11111... and square rooting that to get 11.6666666..... which you can round to whichever decimal point you need.
The question is incomplete. The complete question is :
One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-bran cereals. The company's research office wants to investigate if the percentage of people who consume all-bran cereal is the same for each of these four brands. Let us denote the four brands of cereal by A B C and D. A sample of 900 persons who consume all-bran cereal was taken, and they were asked which brand they most often consume. Of the respondents, 201 said they usually consume Brand A, 224 consume Brand B, 299 consume Brand C, and 176 consume Brand D. Does the sample provide enough evidence to reject the null hypothesis that the percentage of people who consume all-bran cereal is the same for all four brands? Use alpha = 0.025. Find the value of the test statistic x^2. x^2 = the tolerance is +/-2% Using alpha = 0.025, can you conclude that the current percentage distribution is different from the hypothesized one? We conclude that the current percentage distribution from the hypothesized one.
Solution :
A B C D Total
201 224 299 176 900
225 225 225 225
![$X^2 =\sum \frac{(o_i-e_i)^2}{e_i} = 37.5733$](https://tex.z-dn.net/?f=%24X%5E2%20%3D%5Csum%20%5Cfrac%7B%28o_i-e_i%29%5E2%7D%7Be_i%7D%20%3D%2037.5733%24)
![$X^2 = 9.3484$](https://tex.z-dn.net/?f=%24X%5E2%20%3D%209.3484%24)
We reject ![$H_0$](https://tex.z-dn.net/?f=%24H_0%24)
level
![$H_0: A = B=C=D\ \ \ (1/4)$](https://tex.z-dn.net/?f=%24H_0%3A%20A%20%3D%20B%3DC%3DD%5C%20%5C%20%5C%20%281%2F4%29%24)
are not equal.
The distribution is multinomial hypothetical distribution.
Hi there!
Let <em>b </em>equal the weight of Barry's mountain bike. Let <em>a </em>equal the weight of Andy's mountain bike.
<em>b - </em><em />6 + <em>b</em> = 42
Since Barry's mountain bike weighs 6 pounds more than Andy's, we can say that Andy's mountain bike weighs <em>b </em>- 6 pounds. Since both mountain bikes added together is 42 pounds, <em>b - </em>6 + <em>b </em>would be equal to 42.
Hope this helps!
m∠8 would be the first option, which is 50°.
We know this because m∠4 and m∠8 are corresponding angles, meaning that they are formed by a shape that kind of looks like an F. Corresponding angles are equal, so if m∠4 is 50°, that means that m∠8 is as well.
I hope this helps!