Answer: Choice B
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A more in depth look
Choice A is true because the points are going downward as you read from left to right. The points aren't all on the same line but they are close to one. We can cross choice A off the list.
Choice B is false. So this is the answer. The fact that the points are close to the same line indicates that the r value is close to -1 rather than 0. If the points were randomly scattered about, or if they fell on a curve such as a parabola, then the linear correlation coefficient r would be (closer to) zero.
Choice C is true. The explanatory variable is the independent variable x. We can cross choice C off the list.
Choice D is true. The points are fairly close to the same straight line. It's not perfect but it's good enough. We can cross choice D off the list.
Answer:
- <em>D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter </em>
Explanation:
The word is not probably, which has 8 letters, but probability, which has 11 letters
<u>1. Hal</u>
Probability of drawing a vowel
- The vowels are: o, a, i, i, and y: 5
- The total number of letters in the bag is 11.
- Probability of vowel = 5 / 11
<u>2. Renee</u>
Probability of drawing a consonant
- The consonants are: p, r, b, b, l, t, and y: 7
- Probability of a drawing a consonant: 7 /11
<h2>Conclusion</h2>
As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,
- The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.
Answer:
(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.
Ratio of DE to BC is 4:6 => 2:3
To find area, we need to raise the ratio of length to power 2
(2/3)² = 16/x
4/9 = 16/x
x = (16*9)/4
x = 36cm²
Therefore, area of triangle ABC is 36cm²
(ii) Ratio of DE to BC is 4:8 => 1:2
(1/2)² = 25/x
1/4 = 25/x
x = 25*4
x = 100cm²
Therefore, area of triangle ABC is 100cm²
I'm not sure about the third question, sorry
Step-by-step explanation:
Answer:
319 seconds
Step-by-step explanation:
The distance 12.42 miles is equivalent to
12.42*5280=65577.6 ft

When slope is 6.4%, 

Therefore, 
Also



Making t the subject of the formula by solving quadratic equation
t=318.4791278210496
Therefore, time is 319 seconds