Answer:
x = 8
Step-by-step explanation:
All sides are equal in terms of symmetry, such as the 5 and 5 opposite the angle 120 that repeats itself at the centre 3 times
The answer is plus 4 because a positive plus a negative is a negative
1/3
because a foot is a third of a yard and a yard is 3 feet.
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.
Answer:
x = 50°
Step-by-step explanation:
sum of all angles of a quadrilateral is 360°
so, the other unknown angle be y
=》y + 40° + 110° + 80° = 360°
=》y + 230° = 360°
=》y = 360° - 230° = 130°
and the unknown angle + x = 180°
( because they for linear pair )
so, x + y = 180°
x + 130° = 180°
x = 180° - 130° = 50°
hence, x = 50°
