What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm? Ente
2 answers:
Answer:
Length of an arc is given by:
......[1]
where,
r is the radius of the circle
is the angle in radian.
As per the statement:
A circle has a radius of 9 cm.
⇒r =9 cm
It is also given that: intercepted arc length is 7.2 cm
Substitute the given values in [1] we have;
Divide both sides by 9 we get;
Therefore, the measure in radians for the central angle is, 0.8
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Answer:
There is enough evidence to reject the manufacturer’s claim and the standardized test statistic z is -3.43
Step-by-step explanation:
A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°F.
So, Null hypothesis:
Alternate hypothesis :
To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133°F.
x=133
n = 32
Population Standard deviation =
Formula :
z=-3.43
Refer the z table for p value
p value = 0.0003
p value < α
So, we failed to accept null hypothesis
Hence there is enough evidence to reject the manufacturer’s claim and the standardized test statistic z is -3.43