Answer:
12.5 sq. units
Step-by-step explanation:
Divide the blue triangle into two smaller triangles.
The length of their common base = 5 units
The height of the <u>yellow</u> triangle = 2 units
The height of the <u>red</u> triangle = 3 units
The area of the yellow triangle
= (5×2)÷2
= 5 sq. units
The area of the red triangle
= (5×3)÷2
= 7.5 sq. units
The total area
= 5+7.5
= 12.5 sq. units
Answer:
343 can be written as
Step-by-step explanation:
since we know,
343 = 7 × 7 × 7
so, we can write 343 as cube of 7
hence,
Answer:
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5
The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5
The 95% confidence interval for the population mean is between 61.5 and 68.5.