Answer:
∠WVU = 67°
Step-by-step explanation:
∠WVU = 1/2(arc WV)
8x + 11 = 1/2(15 + 17x)
8x + 11 = 7.5 + 8.5x
subtract 7.5 and 8x from each side of the equation:
0.5x = 3.5
multiply both sides by 2:
x = 7
∠WVU = 8(7) + 11 = 67°
proof:
arc WV = 15 + 17(7) = 134° which is 2 x 67°
Answer:Let the number be x, then (x - 9)^2 = x - 3
x^2 - 18x + 81 = x - 3
x^2 - 19x + 84 = 0
(x - 12)(x - 7) = 0
x = 12 or 7
Step-by-step explanation:
We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.
The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.
The 95% confidence for the population mean will be:

Thus, the 95% confidence interval for the population mean will be (115,123)
So, option A is the correct answer
Answer:

And we can use the normal standard distribution table or excel and with the complement ruler we got:

Step-by-step explanation:
We know the following info given:
represent the true mean
represent the population deviation
represent the sample size selected
Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

And for this case we want to find this probability:

And we can use the z score formula given by:

And replacing we got:

And we can use the normal standard distribution table or excel and with the complement ruler we got:

Answer:
4y-9
Step-by-step explanation:
y is the number, 4 times the number = 4y
so 4y-9