The proportion in the tail with regards to the z scores will be:
- z = 1.00 = 0.1587
- z = 0.50 = 0.3085
- z = -1.25 = 0.1056
- z = -0.40 = 0.3446
<h3>How to calculate the values?</h3>
a. z= 1.00
P(z > 1.00) = 1 - P(Z < 1.00)
= 1 - 0.8413
= 0.1587
The tail will be on the right side.
The proportion of the tail will be 0.1587.
b. z = 0.50
P(z > 0.50) = 1 - P(Z < 0.50)
= 1 - 0.6915
= 0.3085
The tail will be on the right side.
The proportion of the tail will be 0.3085
c. z= -1.25
P(z < -1.25)
= 0.1056
The tail will be on the left side.
The proportion of the tail will be 0.1056.
d. z= -0.40
P(z < -0.40)
= 0.3446
The tail will be on the left side.
The proportion of the tail will be 0.3446.
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Given:
The percentage rate of commission, R=3%.
The commission recieved by Melanie, C=$8571.
The expression for commission amount is,
Here, SP is the sale price of the house.
Put R=3% and C=$8571 in the above equation to find sale price.
Therefore, the sale price is $285700.
Answer:
The store mixes 8 pounds of peanuts and 9 pounds of raisins.
Step-by-step explanation:
Let the store mixes 'x' pounds of peanuts and 'y' pounds of raisins.
The cost of peanut per pound is $3.20 and cost of raisins per pound $2.10
According to question,
Total weight of mixture given is 17 pounds.
................(1)
also total cost of mixture given is $44.50
...........(2)
Solving for equation (1) and (2),
Multiply equation (1) by 3.20 , we get
(1)⇒ ............(3)
Now, subtract equation (3) from equation (2) , we get
Thus, The store mixes 9 pounds of raisins.
Put, y = 9 in (1),
Thus, The store mixes 8 pounds of peanuts.
The rate that is not equivalent to the others is "1 for $0.75".
<h3>
How to find the rates?</h3>
To find the rates, you need to take the quotient between the price and the number of units, these rates, give the value of a single item in dollars.
Here, the four rates are:
- 1) $36/27 = $1.33...
- 2) $4/3 = $1.33...
- 3) $20/15 = $1.33...
- 4) $0.75/1 = $0.75
So we can see that the rate which is not equivalent to the others is the last one (the bottom right one).
If you want to learn more about rates, you can read:
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