A correlation coefficient of 0.1 represents a weak linear relationship.
Answer:
Aaron must obtain a 96 or higher to achieve the desired score to earn an A in the class.
Step-by-step explanation:
Given that the average of Aaron's three test scores must be at least 93 to earn an A in the class, and Aaron scored 89 on the first test and 94 on the second test, to determine what scores can Aaron get on his third test to guarantee an A in the class, knowing that the highest possible score is 100, the following inequality must be written:
93 x 3 = 279
89 + 94 + S = 279
S = 279 - 89 - 94
S = 96
Thus, at a minimum, Aaron must obtain a 96 to achieve the desired score to earn an A in the class.
1. <span>Set up the long division.
</span>
<span>245/7</span>
2. <span>Calculate 700 ÷ 245, which is 2 with a remainder of 210.
</span>
<span><span>0.02</span><span>245/7.</span><span>4.90</span><span>2.10</span></span>
3. <span>Bring down 0, so that 2100 is large enough to be divided by 245.
</span>
<span><span>0.02</span><span>245|/.</span><span>4.90</span><span>2.100</span></span>
4. <span>Calculate 2100 ÷ 245, which is 8 with a remainder of 140.
</span>
<span><span>0.028</span><span>245|/.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>140</span></span>
5. <span>Bring down 0, so that 1400 is large enough to be divided by 245.
</span>
<span><span>0.028</span><span>245/7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span></span>
6. <span>Calculate 1400 ÷ 245, which is 5 with a remainder of 175.
</span>
<span><span>0.0285</span><span>245|7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span><span>1225</span><span>175</span></span>
7. <span>Therefore, 7 divided by 245 approximately equals 0.0285
</span><span><span>7÷245≈0.0285</span></span>
8. <span>Simplify
</span><span><span><span>0.0285 <------------- Answer :) </span></span>
</span>
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
Answer:
Annie's Orange Grove
Step-by-step explanation:
* you need to find out how much each pound of oranges cost at both orchards.
* to do so you take the total amount of money and divide it by the number of pounds you get.
1) 7.25 ÷ 20 = .36
2) 5 ÷12 = .4
* as you can see .36 is less than .4 and therefore is the better deal.
