Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
The value of c is { c | c ∈ R, c ∉ {-1,0,2,12} }.
c is a number such that it is not in the set {-1,0,2,12} else we end up with a domain value having multiple range values, contradicting with the definition of a function.
Yes you are correct it is a transformation and then a rotation
Answer:

Step-by-step explanation:
Use the formula for a semicircle's perimeter.

Plug in 6 for d.

Let's use 3.14 for
, just to make it easier, but of course, if it states to round it to something else, just plug in that many values for
.

Answer:
Step-by-step explanation:
first count up the numbers on the spinner and the die cut out the number till get the number but i will guess 2