Answer:
see explanation
Step-by-step explanation:
To determine which ordered pairs are solutions to the equation
Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.
(- 1, - 6)
3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution
(- 3, 3)
3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution
(11, 3)
3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution
(7, 0)
3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution
The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation
Answer:
Step-by-step explanation:
<u>Use trigonometry to help</u>
- cos = adjacent side/hypotenuse
- hypotenuse = adjacent side / cos
<u>Substitute values:</u>
- Distance between the Sun and the Moon = y / cos x
Answer:
k = 3
Step-by-step explanation:
-12 = 3 - 2k - 3k
-12 = 3 - 5k
5k = 15
k = 3
Answers:
She made ___25___ grams of ___40___% salt solution
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The given info "20 grams of 50% salt solution" tells us that we have 10 grams of pure salt
Since 50% of 20 = 0.50*20 = 10
Put another way, we have 10 grams of pure salt out of 20 total so 10/20 = 0.50 = 50% salt solution
The 20 grams of solution updates to 25 grams of solution when we add the 5 grams of water
We don't add any salt, assuming this water is fresh water
So we still have 10 grams of pure salt out of 25 grams now
10/25 = 2/5 = 0.40 = 40% is the new salt concentration
Answer: The estimated value for population mean rating based on these ten sampled ratings is 7.3 .
Step-by-step explanation:
Given : A random sample of size ten produced the following ratings in the computer games rating example in the last lesson:
12, 5, 2, 4, 1, 4, 18, 10, 1, 16.
Let x denotes any value in the above data.
We know that the sample mean
is the best estimate to the population mean
.
Sample mean=
Here , n= 10
Therefore , the estimated value for population mean rating based on these ten sampled ratings= 7.3
