Answer:
284cm^2
Step-by-step explanation:
first, we split up the shape into seperate sections that we can easily find the areas of.
i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.
we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.
there are 2 of these, so 32 x 2 = 64cm^2.
now, i chose to seperarte the pentagon into a rectangle and a triangle,
and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.
the area of the rectangle is 150cm^2.
now, for the triangle.
the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.
8 + 7 = 15.
22 - 15 = 7.
now we know that the height of the triangle is 7 cm.
from earlier, we also know the base, which is 10cm.
7 x 10 = 70cm^2.
now we add all these together:
70 + 150 + 64 = 284cm^2
<span>−1 1/3 - 1/6
= -1 2/6 - 1/6
= (-1 2/6) + (-1/6)
= -1 3/6
= -1 1/2</span>
Answer:
B or E this one is alittle tricky.
Answer:
a
The point estimate of the population mean is 
b
The 80% confidence level is 
c
There is 80% confidence that the true population mean lies within the confidence interval.
Step-by-step explanation:
From the question we are told that
The sample size is n = 18
The standard deviation is 
The sample mean is
Generally the point estimate of the population mean is equivalent to the sample mean whose value is
Given that the confidence interval is 80% then the level of significance is mathematically represented as
Next we obtain the critical value of 
from the normal distribution table
The value is 
Generally the margin of error is mathematically evaluated as
=> 
=> 
Generally the 80% confidence interval is mathematically represented as
=> 
=>
The interpretation is that there is 80% confidence that the true population mean lies within the limit
Answer:
The answer is C, 0.25.
Step-by-step explanation:
In order to find the probability of (B | A), you need to use this formula:
Conditional Probability (A has already occured)
P(B | A) = P(A and B)
-------
P(A)
If you subsitute in the values you get this:
P(B | A) = 0.10
------
0.40
0.1 divided by 0.4 is equal to 0.25.
