Answer:
$234
Step-by-step explanation:
First we need to define profits. Profits are Income minus Expenses:
P = I - E
We know profits are $414, so:
414 = I - E
We also can calculate income, as it is equal to price by the sales:
I = p*Q
Here she sold 90 kgs at $7.20 b kg. So:
I = p*Q = 7.20 * 90 = 648
So, replacing in profits equation:
414 = I - E
414 = 648 - E
If we sum E in both sides:
414 + E = 648 - E + E = 648
414 + E = 648
Now, subtracting 414 in both sides:
414 + E - 414 = 648 - 414
E = 234
So, her expenses are $234
They are 2015 and 2016.
divide 4031 by 2, and get rid of the decimal:
You will get 2015.
2015+2015 = 4030
2015+2016=4031
Answer:
Side D is 0.78 feet (to 2 s.f.)
Step-by-step explanation:
In the Scale Drawing, side D=24 centimeters
1 foot = 30.48cm
x foot = 24 cm
Therefore:
24 X 1 = 30.48 X x
x= 24/30.48 =0.7874 feet
Side D is 0.78 feet (to 2 s.f.)
Let "x" represent the weight of the toppings. We know that we can have any number of toppings. This means that one may ask for no toppings at all too.
Now, we have been told that "S" is the weight of the special sundae in kilograms. This definitely included the "mandatory" 2 kilograms of ice cream. Therefore, S will be at-least equal to 2.
Thus, the inequality that describes S, the weight of the special sundae in kilograms at Ping's Ice Cream Palace is given as:
kilograms.
It can be seen that as x increases, S increases too and if an order does not want any toppings in it then the weight of the special sundae will be a minimum of 2 kg which is the weight of the ice cream.
Answer:
The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.
Step-by-step explanation:
Let the random variable <em>X</em> represent the amount of money that the family has invested in different real estate properties.
The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = $225,000 and <em>σ</em> = $50,000.
It is provided that the family has invested in <em>n</em> = 10 different real estate properties.
Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

Now the lowest 80% of the amount invested can be represented as follows:

The value of <em>z</em> is 0.84.
*Use a <em>z</em>-table.
Compute the value of the mean amount invested as follows:


Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.