Answer:
F=0.46N
Step-by-step explanation:
∝
,
![F=\frac{k}{d^{2} } \\](https://tex.z-dn.net/?f=F%3D%5Cfrac%7Bk%7D%7Bd%5E%7B2%7D%20%7D%20%5C%5C)
![F=0.35N, d=8m\\](https://tex.z-dn.net/?f=F%3D0.35N%2C%20d%3D8m%5C%5C)
![0.35=\frac{k}{8^{2} }](https://tex.z-dn.net/?f=0.35%3D%5Cfrac%7Bk%7D%7B8%5E%7B2%7D%20%7D)
![k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N](https://tex.z-dn.net/?f=k%3D0.35%5Ctimes%208%5E%7B2%7D%20%5C%5C%5C%5Ck%3D22.4%5C%5CF%3D%5Cfrac%7B22.4%7D%7Bd%5E%7B2%7D%20%7D%20%5C%5Cd%3D7m%2C%20F%3D%5Cfrac%7B22.4%7D%7B7%5E%7B2%7D%20%7D%20%3D0.46N)
Answer:
Step-by-step explanation:
9th square number = 81
5th square number=25
81-25=56
56 is a multiple of 8 as 8 x 7=56
Answer:
Z =
= 1.6
we reject the Null hypothesis
Step-by-step explanation:
The correct test statistic
Assume :
Null Hypothesis : H_0 : p = 0.08
Alternative hypothesis : H_a : p ≠ 0.08
p = proportion of residents that are unemployed
x = unemployed residents = 22
n = sample size = 200
To get the sample of the population that is unemployed we use this equation
= 22 / 200 = 0.11
now we apply the test of of significance of single proportion
= Z = ![\frac{p - P}{\sqrt{pq/n} }](https://tex.z-dn.net/?f=%5Cfrac%7Bp%20-%20P%7D%7B%5Csqrt%7Bpq%2Fn%7D%20%7D)
therefore Z =
= 1.6
Therefore we reject the Null hypothesis
Answer:
Ann - 61 kg
Beth - 58 kg
Celine - 54 kg
Step-by-step explanation:
We use Algebra to solve this. We give unknown to one of them. I have decide to use x here and give it to earn.
Ann = x
Ann + beth = 119 meaning ( 119 - x) = beth
beth = 119 - x
celine + ann = 115 meaning(115 - x) = celine
celine = 115 - x
know we know>
Ann = x
beth = 119 - x
celine = 115 - x
and beth + celine= 112 kg meaning =>
119 - x + 115 - x = 112
we collect the like terms. 119 and 115 cross the equal sign to the other side.
-x-x = 112 - 119 - 115
-2x = -122
-2x/-2= -122/-2
x = 61
therefore ann has 61 kg
beth has 119 - 61 = 58 kg
celine has 115 - 61 = 54 kg
If you need any clarification or more explanation pls do mention at the comment section.
Hope this helps and if it does pls mark as branliest answer thx.
Answer:
square root of seven
Step-by-step explanation:
multiply the numbers inside the radicals to get fourth root of 49. simplify the radical and get square root of 7