Answer:
C
Step-by-step explanation:
The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.
So the disk has a linear speed of
(6000 rev/min) * (12π cm/rev) = 72,000π cm/min
which is equivalent to
(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)
or approximately 135.7 km/h.
Answer:
x = 11
Step-by-step explanation:
A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.
The circumference is equidistant from the vertices of the triangle:
Equidistant = At equal distances.
The vertices in the picture are: A, B, C
The circumcenter is: P
So, we can apply the rule: PA = PB = PC
PA = 38
PB = 6x - 28
PC = ?
And since the picture labels PA and PB, we set up the equation:
PA = PB = PC
38 = 6x - 28
Add 28 to both sides
38 + 28 = 6x - 28 + 28
66 = 6x
Divide 6 on both sides
66/6 = 6x/6
Simplify
11 = x
Flip the equation
x = 11
Answer:
The p value would be:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we cna conclude that the true mean is less than 60 at 10% of significance.
Step-by-step explanation:
Information given
represent the sample mean of interest
represent the sample standard deviation
sample size
represent the value to check
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test
System of hypothesis
we want to check if the true mean is lower than 60, so thn the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replcing into the formula we got:
P value
The degrees of freedom are given by:
The p value would be:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is less than 60 at 10% of significance.
