Let X be the number of female employee. Let n be the sample size, p be the probability that selected employee is female.
It is given that 45% employee are female it mean p=0.45
Sample size n=60
From given information X follows Binomial distribution with n=50 and p=0.45
For large value of n the Binomial distribution approximates to Normal distribution.
Let p be the proportion of female employee in the given sample.
Then distribution of proportion P is normal with parameters
mean =p and standard deviation = 
Here we have p=0.45
So mean = p = 0.45 and
standard deviation = 
standard deviation = 0.0642
Now probability that sample proportions of female lies between 0.40 and 0.55 is
P(0.40 < P < 0.45) = 
= P(-0.7788 < Z < 1.5576)
= P(Z < 1.5576) - P(Z < -0.7788)
= P(Z < 1.56) - P(Z < -0.78)
= 0.9406 - 0.2177
= 0.7229
The probability that the sample proportion of females is between 0.40 and 0.55 is 0.7229
Answer: A for paragraph one, b for 2, c for the second three
Step-by-step explanation:
2x - 3 > 11 - 5x |add 3 to both sides
2x > 14 - 5x |add 5x to both sides
7x > 14 |divide both sides by 7
x > 2
x = 4
Answer:
The distance between Earth and its moon is about 
Step-by-step explanation:
Let
y ------> Saturn’s rings span up
x -----> the distance between the Earth and its moon
we know that
The linear equation that represent this situation is
-----> equation A
-----> equation B
substitute B in equation A and solve for x
Multiply by 4/3 both sides
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let 
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 
. From this information we can gather that the cost function for this factory is,
On the other hand, if we let be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,
Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that
The company has to sell 134 750 units to break even.
