20 watches are made according to the cost of 385 dollars
Salary = $ 30,000
10% of salary =

= $ 3,000
Hence, 10% increase in the salary
= 30,000 + 3,000 = $ 33,000
Thus, the answer is $ 33,000.
Answer: 1/6
Step-by-step explanation:
Probability of getting heads or tail is:
P (H) = P(T) = 1/2
The probability of getting any number on the die is:
P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6
The probability of getting a tail on the coin and a number less than 3 on the die is:
![P($Tails and a number less than 3$)=P($Tails$) \times P$(A number less than 3)$$\begin{aligned}&=\frac{1}{2} \times[P(1)+P(2)] \\&=\frac{1}{2} \times\left[\frac{1}{6}+\frac{1}{6}\right] \\&=\frac{1}{6}\end{aligned}$$](https://tex.z-dn.net/?f=P%28%24Tails%20and%20a%20number%20less%20than%203%24%29%3DP%28%24Tails%24%29%20%5Ctimes%20P%24%28A%20number%20less%20than%203%29%24%24%5Cbegin%7Baligned%7D%26%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%5BP%281%29%2BP%282%29%5D%20%5C%5C%26%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%5Cleft%5B%5Cfrac%7B1%7D%7B6%7D%2B%5Cfrac%7B1%7D%7B6%7D%5Cright%5D%20%5C%5C%26%3D%5Cfrac%7B1%7D%7B6%7D%5Cend%7Baligned%7D%24%24)
Therefore the required of getting tails and a number less than 3 is 1/6
Answer: the t-test statistic is - 1.77
Step-by-step explanation:
For the null hypothesis,
H 0: μ = 2600
For the alternative hypothesis,
H a: μ ≠ 2600
This is a two tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 50,
Degrees of freedom, df = n - 1 = 50 - 1 = 49
t = (x - µ)/(s/√n)
Where
x = sample mean = $2450
µ = population mean = $2600
s = samples standard deviation = $600
Therefore,
t = (2450 - 2600)/(600/√50) = - 1.77