Answer:
Total number number of cars which do not have defects = 539
and 21 are defected out of 560 i.e. 560 - 539 = 21
Step-by-step explanation:
Total cars checked by Car factory = 320
Number of defected cars = 12
The number of cars which do not have defects = 320 - 12 = 308
Total Number of cars = 560
So the equation becomes
⇒
⇒
⇒
Therefore, total number number of cars which do not have defects = 539
and 21 are defected out of 560 i.e. 560 - 539 = 21
Answer:
7
Step-by-step explanation:
The average rate of change here, since this is not a line, is the slope of the secant line that is connecting those 2 points. We can find that average rate of change by finding the y coordinates that go with each of those x coordinates and then applying the slope formula. For g(0):
Anything raised to the power of 0 is 1, so we have then:
g(0) = 3(1) - 6 so
g(0) = -3 and the coordinate pair is (0, -3)
For g(3):
so
g(3) = 18 and the coordinate pair is (3, 18).
Now we plug those into the slope formula:
So the averagee rate of change, which is also the slope, between those 2 points is 7
Answer:
Step-by-step explanation:
Solving for w:
Look at the right triangle on the left side. It has a 32-deg angle, a hypotenuse of length 5, and a leg of length w. For the 32-deg angle, w is the opposite leg. We have an opposite leg and a hypotenuse, so we use the sine.
Solving for x:
Now look at the right triangle on the right side. There is an acute angle measuring x, an opposite leg measuring 2.6495 (from the solution above), and a hypotenuse measuring 6. We use the sine again.
Since we know what the sine of angle x is equal to, and we want to know the measure of angle x, we use the inverse sine function, also called the arcsine.