Answer:
x: work a woman can do in 1 day
y: work a girl can do in 1 day
Then
2x + 7y =1/4
4x + 4y =1/3
4x + 14y =2/4 (1)
4x + 4y =1/3 (2)
=> Let (1) - (2), 10y =2/4-1/3 <=>10y = 1/6 <=> y = 1/(6x10) = 1/60 (work)
=> From (2),4x = 1/3 - 4x1/60 => 4x = 16/60 => x = 4/60 (work)
=> 1 day, a woman and a girl can do: 1/60+4/60 = 5/60 =1/12 (work)
Then, the day required for a woman and a girl to complete work: 12 days
VW=CD since they are congruent figure, so CD=6
Answer:
the sampling distribution of proportions
Step-by-step explanation:
A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions
Answer:
The other endpoint would be (-13, -11)
Step-by-step explanation:
In order to find the coordinates of an end point, we need to note that the midpoint would be the average of the two values. We'll call the unknown point P and we'll start by looking at the x values only.
(1 + Px)/2 = -6 ----> multiply by 2
1 + Px = -12 -----> subtract 1
Px = -13
Now we can do the same with the y values.
(7 + Py)/2 = -2 ----> multiply by 2
7 + Py = -4 ------> subtract 7
Py = -11
