The bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles.
Total number of marble=4+2+5+1+7=19
The probability P(E) is defined as 
where n(E) is the total number of favourable events.
and n(s) is the total number of events
Hence for the given data we can write
Because total number of green marbles = n(E)=4
Total number of Marbles =n(S)=19
Hence P(E)=4/19
Answer:
(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.
Step-by-step explanation:
Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.
Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.
Test statistic (t) = (sample mean - population mean) ÷ sd/√n
sample mean = 3.24 minutes
population mean = 3.3 minutes
sd = 0.4 minutes
n = 62
degree of freedom = n - 1 = 62 - 1 = 71
significance level = 0.08
t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2
The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654
Conclusion:
Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.
Hey there,
Your question states: <span>The coordinates of A, B, and C in the diagram are A(p, 4), B(6, 1), and C(9, q). Which equation correctly relates p and q?
Your correct answer would be </span><span>D. p − q = 7 BECAUSE . . .we would have to back the number up because we would need to basically subtract </span>
which would give you 7. So D.) would be your answer.
Hope this helps.
~Jurgen
Answer:
See below.
Step-by-step explanation:
1/2 = shrink by a factor of 1/2.
+7 = moved up 7 units.
solve for "a", to get the coefficient, and then plug it back in the equation.
