Answer:
since angle B and angle C contains the same arc AD. set the angles equal
11x-3=8x+15
x=6
so the angle has a measure of 63 degrees
the central angle is the angle of the arc
and it is always 2 times the angle that we just that contains the arc but does touches the end of the circle.
so its 63 *2 =126 degrees.
Answer:
See the attachment please.
Step-by-step explanation:
Statistics!! All work is on the picture, plus the boxed answers.
Answer: Hence, the probability that he will get at least one lemon is 0.70.
Step-by-step explanation:
Since we have given that
Number of cars = 30
Number of lemon cars = 10
Number of other than lemon cars = 30-10 = 20
According to question, he bought 3 cars,
we need to find the probability that you will get at least one lemon.
So, P(X≤1)=1-P(X=0)=1-P(no lemon)
Here, P(no lemon ) is given by

so, it becomes,

Hence, the probability that he will get at least one lemon is 0.70.
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
The significance level is 
The Null Hypothesis is 
The Alternative Hypothesis is 
The test statistic is mathematically represented as

Substituting values


Now the critical value for
is

This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct