1/9 is the square root of 1/81 and your welcome....
Answer:
The value of the expected profit from the concert is 8,910
Step-by-step explanation:
Profit on a clear day X₁ = 36,000 with 13% probability.
i.e X₁ = 36000
P(X₁) = 0.13
Profit on a cloudy day = 17,000 with 39% probability.
i.e X₂ = 17000
P(X₂) = 0.39
else,
loss of 5,000 if it rains with the probability of 48%.
i.e X₃ = 5000
P(X₃) = 0.48
The value of the expected profit from the concert is obtained as follows
Expected Value = (36,000*0.13) + (17,000*0.39) - (5,000*0.48)
= 4,680 + 6,630 - 2,400
= 8,910
The answer is C because it is telling you to subtract 180 degrees from 54 degrees to get the final answer which is 126 I got that because 54 is that angle and it is asking for the whole amount so it would be C
Answer:
y=−x−1/3x−8
Step-by-step explanation:
y=8x−1/3x+1
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=8x−1/3x+1 becomes x=8y−1/3y+1.
Now, solve the equation x=8y−1/3y+1 for y.
y=−x−1/3x−8
Sorry I was in a rush and couldn't do the fractions as formulae. Hope it helped anyways.
Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean, 
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
