<span>302 divided by (9.1 x 10^4)
= (3.02 x 10^2) / </span>(9.1 x 10^4)
= 0.332 x 10^-2
= 3.32 x 10^-3
answer
<span>B) 3.32 x 10^-3 </span>
Out of 90 reservation made, 77 diners are expected to show up. And the standard deviation of this binomial distribution is 3.39
We have been given that
Percentage of people who make reservation and didn’t show up = 15% = 0.15
Number of reservation made = 90
Now we have to calculate number of people expected to show up that is we have to calculate mean. As this a binomial distribution in which we have been given
n = 90 and q = 0.15
Thus, µ = np = 90*(1-0.15) = 90*0.85
µ = 76.5 ≈ 77
Thus it is expected to have 77 diners to show up.
Now standard deviation is given as:
σ = √npq
σ = √90*0.15*0.85
σ = 3.39
Hence the standard deviation is 3.39
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The last one. it can be represented as the linear function y=2x+1
The final velocity is 13.5m/s
The formula of velocity is given as:
And the parameters are given as:
- the initial velocity, u = 3 m/s
- the acceleration, a = 1.5 m/s²
- the time, t = 7 seconds
So, we have:
Hence, the final velocity is 13.5m/s
Read more about velocity at:
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Answer:
y = -2x - 4
Step-by-step explanation:
So we have the x intercept and a line perpendicular to the one we are trying to find.
Perpendicular deals with the slope. Perpendicular slopes are negative reciprocals of each other, or in other words, if the slope is m the negative reciprocal is -1/m.
the slope of the perpendicular line is 1/2 so that means the negative reciprocal is -2.
x intercept is when y=0, so the point is (-2, 0). So that means the equation to make this point with the slope of -2 will look like this
y = mx + b
0 = -2*-2 + b
-4 = b
Now to get into the line we just plug in m and b into y = mx + b
y = mx + b
y = -2x - 4
And to check if you plug in -4 you'll get y = 0