Answer:
We conclude that there has been a significant reduction in the proportion of females.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 50% = 0.5
Alpha, α = 0.05
Number of women, x = 118
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the critical value.
Now, 
Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there has been a significant reduction in the proportion of females.
To find your average speed, divide 180 by 4 which is 45.
Formula:
Plug the number into the equation
180 is d (distance)
4 is t (time
So it would be 180=r•4
1) get r by itself so divide 4 to both sides
2) 180/4 = r
3) 45 = r
Answer:
0.333333
Step-by-step explanation:
Hope this helps and have a great day!
Answer:
Cost function C(x) == FC + VC*Q
Revenue function R(x) = Px * Q
Profit function P(x) =(Px * Q)-(FC + VC*Q)
P(12000) = -38000 Loss
P(23000) = 28000 profit
Step-by-step explanation:
Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.
(a)Cost function
C(x) = FC + vc*Q
Where
FC=Fixed cost
VC=Variable cost
Q=produce quantity
(b)
Revenue function
R(x) = Px * Q
Where
Px= Sales Price
Q=produce quantity
(c) Profit function
Profit = Revenue- Total cost
P(x) =(Px * Q)-(FC + vc*Q)
(d) We have to replace in the profit function
<u>at 12,000 units </u>
P(12000) =($20 * 12,000)-($110,000 + $14*12,000)
P(12000) = -38000
<u>at 23,000 units </u>
P(x) =($20 * 23,000)-($110,000 + $14*23,000)
P(23000) = 28000
Anya's parents will have $44,440.71 after 6 years if they invested in a bank.
The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.
= 4% / 4 quarters
= 1% per quarter
Number of periods:
= Number of years x Number of quarters in year
= 6 x 4
= 24 quarters
The amount they will have in their account is:
<em>= Amount x ( 1 + rate) ^ number of periods </em>
= 35,000 x ( 1 + 1%)²⁴
= $44,440.71
In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.
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