Hello from MrBillDoesMath!
Answer:
180000
Discussion:
Let H = house and L = lot. The Question tells us that H + L = 420000 and L = 3/4H. We are asked to solve for L
H + L = 420000 => L = 3/4H implies that H =4/3L
(4/3)L + L = 420000 => (4/3) + 1 = 7/3
(7/3)L = 420000 => multiply both sides by 3/7
(3/7)(7/3)L = (3/7)420000 => as (3/7)(7/3) = 1
L = 180000
Check:
H + L = 420000
H + 180000 = 420000
H = 420000 - 180000
H = =240000
Is L = 3/4H ?
Does 180000 = 3/4 ( 240000) ?
Does 180000 = (3* 240000)/4 = 720000/4 = 180000 Yes! so the answers check!
Thank you,
MrB
Answer:
Upper P60 = 212.8
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find Upper P 60, the score which separates the lower 60% from the top 40%.
This is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255.




Upper P60 = 212.8
The answer is $1.6
Step 1. Find the mean of all values (X = ?).
Step 2. Find the distance of all values from the mean (d1, d2, d3, d4, d5).
Step 3. Find the mean of distances (D).
x1 = $12
x2 = $9
x3 = $6
X4 = $8
x5 = $10
Step 1.
X = (x1 + x2 + x3 + x4 + x5)/5
= (12 + 9 + 6 + 8 + 10)/5
= 45/5
= $9
Step 2.
d1 = 12 - 9 = 3
d2 = 9 - 9 = 0
d3 = 9 - 6 = 3
d4 = 9 - 8 = 1
d5 = 10 - 9 = 1
Step 3.
D = (d1 + d2 + d3 + d4 + d5)/5
= (3 + 0 + 3 + 1 + 1)/5
= 8/5
= $1.6
Answer:
When writing the grades of a diamond using the AGS Scale, diamond Cut grade is first, then diamond Color, Clarity, then Carat Weight—in that order. If a diamondpossessing the finest diamond Cut grade is also colorless, free of inclusions and blemishes, and weighs one carat, it would be written as: 0/0/0–1.000 carat.
Step-by-step explanation:
I Googled the question and found the answer, so you can do the same if you're confused about what I wrote.
The answer is 0, as any number multiplied by 0, is 0.