Answer:
8 milliom
Step-by-step explanation:
its ez
Solution :
Given :
Sample mean, ![$\overline x = 714.2$](https://tex.z-dn.net/?f=%24%5Coverline%20x%20%3D%20714.2%24)
Sample size, n = 40
Standard deviation, s = 83.2
∴ The null hypothesis is ![$H_0 : \mu = 703.5$](https://tex.z-dn.net/?f=%24H_0%20%3A%20%5Cmu%20%3D%20703.5%24)
Alternate hypothesis is ![$H_a : \mu > 703.5$](https://tex.z-dn.net/?f=%24H_a%20%3A%20%5Cmu%20%3E%20703.5%24)
Test statistic :
![$z = \frac{\overline x - \mu}{s / \sqrt n}$](https://tex.z-dn.net/?f=%24z%20%3D%20%5Cfrac%7B%5Coverline%20x%20-%20%5Cmu%7D%7Bs%20%2F%20%5Csqrt%20n%7D%24)
![$z = \frac{714.2-703.5}{83.2 / \sqrt {40}}$](https://tex.z-dn.net/?f=%24z%20%3D%20%5Cfrac%7B714.2-703.5%7D%7B83.2%20%2F%20%5Csqrt%20%7B40%7D%7D%24)
z = 0.813
Now at α = 0.05, for a right tailed,
![$z_{critical} = 1.645$](https://tex.z-dn.net/?f=%24z_%7Bcritical%7D%20%3D%201.645%24)
Since,
, we fail to reject the null hypothesis.
If there are 45 as the 3 ratio, you just divide the 45 by 3 and it gives you the 1 ratio. 45/3= 15, so 15 children picked atom and Jerry. 45+15= 60. There are 60 students in class :)
To find the mean of a set of numbers you simply add all the numbers then divide by how many numbers you added
113+185+140+219+295 = 952
952/5 = 190.4 (if you need it rounded, just put 190)
Answer:
x= 60°, y = 80°, z = 40°
Step-by-step explanation:
Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.
Hence z= 40° { corresponding angles of parallel lines}
Similarly;
Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.
60° = x° { corresponding angles of parallel lines}
Now looking at the angle between x and y; let's call the angle between them r
And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}
Note that x + r + y = 180°{ angle on a straight line}
y = 180° - ( x + r)
y = 180 - (60+40)
y = 180° - 100°
= 80°