First of all we have to find the slope
m = y₂-y₁ / x₂-x₁
m = -8 + 16 / -10 + 8
m = 8/-2
m = -4
y-y₁ = m (x-x₁)
y + 8 = -4 (x + 10)
y + 8 = -4x - 40
y = -4x -40 - 8
y = -4x -48
450/15 = 30 mpg -- Adam's
416/13 = 32 mpg -- Kenny's
Kenny is going to get the better gas mileage at 32 mpg (miles per gallon)
Answer:
$0.39:1
Step-by-step explanation:
$0.39:1
Dividing the amount by the cost of the bottles.
Based on the characteristics of the distribution, the probability that the first goal is scored in less than 4 minutes is 0.
<h3>What is the probability?</h3>
For us to be able to calculate the probability that the first goal is scored in less than 4 minutes, the distribution needs to satisfy the requirements of the Central Limit Theorem(CLT).
Based on the fact that the distribution here is extremely right skewed, then it does not satisfy the requirements of CLT so the probability is 0.
First part of question:
The distribution of the time it takes for the first goal to be scored in a hockey game is known to be extremely right skewed with population mean 12 minutes and population standard deviation 8 minutes.
Find out more on the requirements of the Central Limit Theorem at brainly.com/question/18403552
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Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• <u>Radius</u> = 5 units
• <u>Centre </u> = (0,0)
<u>Finding</u><u> </u><u>distance</u><u> between</u><u> </u><u>the </u><u>two </u><u>points</u><u> </u><u>:</u><u>-</u><u> </u>
- Here we can see that the distance of point from centre is less than the radius.
<u>Hence </u><u>the</u><u> </u><u>point</u><u> </u><u>lies </u><u>within</u><u> </u><u>the </u><u>circle</u><u> </u><u>.</u>
