we know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is
for an input value equal to
the output value for both functions is
therefore
<u>the answer is the option</u>
X= 4
Answer:
A. 4.26 in^2
Step-by-step explanation:
Step 1: Find the area of the sector DBC. Here we have to use the formula.
Area of a sector = Central Angle/360 *π
The area of the sector DBC = (54/360)*3.14*
= 30.16
Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD
= 30.17 - 25.9
Area of segment CFD = 4.27in^2
Answer with explanation:
Given : Sample mean =
Standard deviation :
Sample size : n = 36
Claim :
∴
Since the alternative hypothesis is two tail , then the test is two tail test.
By using a z statistic and a 0.05 level of significance. Reject if z < -1.960 or is z> 1.960.
Then , the test static for population mean is given by :-
We reject since
. We have statistically significant evidence at
to show that the mean amount of garbage per bin is not different from 50.