3.60
bc using a part to whole chart you cross multiply 24*15 get 360 then divide it by 100 and get 3.60
A. The mean and standard deviation.
The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.
The standard deviation of a sample distribution is equal to,
u(m) = u/sqrt n
Substituting the known values,
u(m) = 6.9 / sqrt 25 = 1.38
b. Get the z-score of both items,
z-score = (data point - mean) / standard deviation
z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.
z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.
The difference between the two z-scores is 0.762.
The number of samples with this height is 0.762(200) which is equal to approximately 152.
c. z-score of 172 centimeters
z-score = (172 - 174.5) / 1.38
z-score = -1.81
This translates to 0.03.
The number of people with this height from the sample is (0.03)(200) = 6
Answer:
![\dfrac{\sqrt[5]{810x^3}}{3x}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B5%5D%7B810x%5E3%7D%7D%7B3x%7D)
Step-by-step explanation:
As a rule, the "simplified form" means there are no fractions under a radical.
![\sqrt[5]{\dfrac{10x}{3x^3}}=\sqrt[5]{\dfrac{10x(3^4x^2)}{3x^3(3^4x^2)}}=\sqrt[5]{\dfrac{810x^3}{(3x)^5}}=\boxed{\dfrac{\sqrt[5]{810x^3}}{3x}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%5Cdfrac%7B10x%7D%7B3x%5E3%7D%7D%3D%5Csqrt%5B5%5D%7B%5Cdfrac%7B10x%283%5E4x%5E2%29%7D%7B3x%5E3%283%5E4x%5E2%29%7D%7D%3D%5Csqrt%5B5%5D%7B%5Cdfrac%7B810x%5E3%7D%7B%283x%29%5E5%7D%7D%3D%5Cboxed%7B%5Cdfrac%7B%5Csqrt%5B5%5D%7B810x%5E3%7D%7D%7B3x%7D%7D)
Answer:
→[ Certain shade=red paint+ white paint]
→3 cups of red paint=7 cups of white paint
Dividing both side by 7,we get
→ 1 cup of white paint=3/7 cups of white paint
So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.
Cups of white paint: Cups of red paint= 1. : 
k=
is constant of proportionality.