Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
-10c+70, just distribute the the -10 to everything in the expression
If the mean is 20.8, one standard deviation each way is adding and subtracting 3.1, so 17.7 and 23.9 (68% of values)
Two standard deviations adding and subtracting 3.1*2 = 6.2, or 14.6 and 27.
Three standard deviations is 11.5 and 30.1
So we have
11.5 - 14.6 - 17.7 - 20.8 - 23.9 - 27 - 30.1
Going left to 11.5 is 3 standard deviations out, so 99.7/2 = 49.85%
Going right to 27 is 2 standard deviations out, so 95/2 = 47.5%
Add those two % to get 97.32%
This is hard to do without a picture so I hope that helps!
Answer:
Cost of Material per square foot = $1.7
Step-by-step explanation:
Given:
Length = 24
Width = 12
Height = 6.5
Find:
Cost of Material per square foot
Computation:
TSA of pit = 2[bh + hl] + lb
TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)
TSA of pit = 2[78+156] + 288
TSA of pit = 756 square foot
Cost of Material per square foot = 1,285.20 / 756
Cost of Material per square foot = $1.7
Answer:
$31.80
Step-by-step explanation:
<u><em>The complete question is</em></u>
Use the details of Oakley's new credit card to answer the question that follows. APR 11.9% compounded monthly Grace Period 28 days Minimum Payment 4% of the remaining balance or $25, whichever is higher Oakley charged $795 to his credit card last month. What is the first minimum payment he must make?
step 1
Find out the 4% of the balance of $795
so
This amount is higher than $25,
therefore
The first minimum payment he must make is $31.80
