There is not enough info to answer this question.
Answer:
1.2⋅10
−4
Step-by-step explanation:
Answer:
2) 10/9 = 1.111111111
3) 1/2 = 0.5
4) 2
5) 3/7 = 0.428571429
6) 4/5 = 0.8
7) 1
8) 42/11 = 3.818181818
9) 5/3 = 1.666666667
10) 7/4 = 1.75
Step-by-step explanation:
Hope this helps
The correct answer is: [B]: "4 " .
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Explanation:
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Refer to the table (provided within the actual question).
Note that the "inputs" ; or "x-values" ; are all listed in "chronological order" ; and are all "one (1) unit apart. and range from: "x = -3" to "x = 3" .
When "x = 0" ; the "output" ; or "f(x)" is "1/4" .
When "x = 1" ; the "output" ; or "f(x)" is: "1" .
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So; the ratio of these two "outputs" is: "¼ : 1" ; or, write as:
" (¼) / 1 " ; and note that: " (¼) / 1 = (¼) ÷ 1 = ¼.
However; note that: "1/4" ; or "1:4" is NOT among the [answer choices given].
However, the ratio of the 2 (two) corresponding "outputs"; chronologically,
going from when "x = 1" ; to "x = 0" ; is: "1 : ¼" ; or; write as: "1 / (¼)" ;
And note that: "1 / (¼)" = " 1 ÷ (¼) " = 1 * (4/1) = 1 * 4 = "4" .
This corresponds to: Answer choice: [B]: "4<span>" .
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Let us further confirm that this answer is correct:
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When x = 3; the "output" is: "16" .
When x = 2; the "output" is: "4" .
The ratio: "16/4 = ? 4 ? " ; → Yes!
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When x = 2; the "output" is: "4" .
When x = 1; the "output" is: "1" .
The ratio: "4/1 = ? 4 ? " ; → Yes!
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When x = 1; the "output" is: "1" .
When x = 0; the "output" is: "(¼)" .
The ratio: "1 / (¼) = ? 4 ? " ;
→ "1 / (¼)" = " 1 ÷ (¼) " = 1 * (4/1) = 1 * 4 = "4" . YES!
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When x = 0; the "output" is: "(¼)" .
When x = -1; the "output" is: "(¹/₁₆)" .
The ratio: "(¼) / (¹/₁₆) = ? 4 " ? ;
→ "(¼) / (¹/₁₆) = "(¼) ÷ (¹/₁₆) " = "(¼) * (¹⁶/₁) = (1*16) / (4*1) = 16/4 = "4" . Yes!
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When x = -1; the "output" is: "(¹/₁₆)" .
When x = -2; the "output" is: "(¹/₆₄)" .
The ratio: "(¹/₁₆) / (¹/₆₄) = ? 4 " ? ;
→ "(¹/₁₆) / (¹/₆₄) = "(¹/₁₆) ÷ (¹/₆₄)" = "(¹/₁₆) * (⁶⁴/₁)" = (1*64) / (16*1) = 64/16 = "4" . Yes!
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When x = -2; the "output" is: "(¹/₆₄)" .
When x = -3; the "output" is: "(¹/₂₅₆)" ,
The ratio: "(¹/₆₄)/(¹/₂₅₆) = ? 4 " ? ;
→ "(¹/₆₄) / (¹/₂₅₆)" ;
= " (¹/₆₄) ÷ (¹/₂₅₆)" = " (¹/₆₄) * (²⁵⁶/₁) " = (1*256) / (64*1) = 256/164 = "4 " . Yes!
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→ So; as calculated; the ratio is: "4" ; which is:
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→ Answer choice: [B]: "4" .
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Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
