If the variance is 5 then the standard deviation is √5.
If Z is the score then Z=(8-16)/√5=-3.58 approx.
Answer:
third answer
Step-by-step explanation:
The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.
- factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
- set the factored polynomial equal to 0 => -2x(x^2+x-6)
- divide both sides by -2x => 0 = x^2+x-6
- factor => (x+3)(x-2) = 0
- find zeros by setting both factors equal to 0 => x=-3, x=2
This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.
8 minutes has 8*60 or 480 seconds. If we divide 3000 meters by 480 seconds, we get an average speed of 6.25 m/s.
Answer is D.
Answer:
The decimal form of the equation is y = 2.5x + 10
The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5
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Explanation:
We can pick any two columns from the table to form the two points needed.
I'll pick the first two columns
(1, 12.5)
(2, 15)
Then apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (15-12.5)/(2-1)
m = (2.5)/(1)
m = 2.5
Now use that slope with either point mentioned to find the y intercept b.
y = mx+b
12.5 = 2.5*1 + b
12.5 = 2.5 + b
12.5 - 2.5 = b
10 = b
b = 10
Or
y = mx+b
15 = 2.5*2+b
15 = 5+b
15-5 = b
10 = b
b = 10
We end up with the same b value.
We found that m = 2.5 is the slope and b = 10 is the y intercept
Therefore we go from y = mx+b to y = 2.5x + 10
This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2
