Answer:
28 ft²
Step-by-step explanation:
Hello There!
To solve for the area of an irregular shape we want to split the irregular shape into regular shapes
For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)
now we can easily solve for the area of each individual shape
area of square -
the area of a square can simply be found by raising the side length to the power of 2
so
so we can conclude that the area of the square is 4ft^2
Now we want to find the area of the rectangle
the area of a rectangle is simply equal to the width times the length
so
so we can conclude that the area of the rectangle is 24ft^2
Finally we add the two areas together
24 + 4 = 28
thus meaning the area of the irregular figure is 28 ft²
I think first we calculate the values of x and y and then we draw the graph. Hope this helps you
Answer:
6
Step-by-step explanation:
Answer:
ratio of adults to children in SIMPLEST form would be 3:7
Step-by-step explanation:
To simplify a ratio you have to find the Greatest Common Factor (GCF) of each number in the ratio and divide. In this example, the original ratio would be 24:56 the GCF of 24 would be 9, and the GCF of 56 would be 8. And then you would divide those numbers and get 3:7
Answer:
Then we can find the probability of interest with this difference:
And using the normal standard distribution or excel we got:
So then the probability that the sample mean would differ from the true mean by less than 28 dollars from the sample of 55 is approximately 0.390
Step-by-step explanation:
We define the variable of interest as the per capita income and we know the following properties for this variable:
and 
We want to find this probability:
We select a sample size of n=55 and we define the z score formula given by:
We can find the z score then for 20880 and 20936 and we got:
Then we can find the probability of interest with this difference:
And using the normal standard distribution or excel we got:
So then the probability that the sample mean would differ from the true mean by less than 28 dollars from the sample of 55 is approximately 0.390
