Answer:
Step-by-step explanation:
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Good evening ,
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Look at the photo below for the answer.
:)
I'm guessing you intended to say has mean and standard deviation , and has means and standard deviation .
If , then has mean
and variance
Given that and , we have
Then
and are independent, so , and
so that the variance, and hence standard deviation, are
# # #
Alternatively, if you've already learned about the variance of linear combinations of random variables, that is
then the variance of is simply the sum of the variances of and , , and so the standard deviation is again .
Average speed is 18.6 kilometer per hour
<u><em>Solution:</em></u>
Given that,
To visit the sites, Nathan's family drove 6.8 km, 9.8 km, 20.3 km, and 46.8 km
They drove for 4.5 hour
To find: average speed
<em><u>The average speed is given by formula:</u></em>
Here, total distance = 6.8 + 9.8 + 20.3 + 46.8 = 83.7 km
Total time taken = 4.5 hour
<em><u>Substituting the values in formula,</u></em>
Thus average speed is 18.6 kilometer per hour
4 Large coffees
Step-by-step explanation:
4 X $3.00 = $12.00
9 x $2.00 = $18.00
$18.00 (9 small coffees) + $12.00 (4 Large Coffees ) = $30.00
I see y = 3x^2 - 2. If that is the case, there is no movement indicated in the x direction at all, only the y direction. If there was movement along the x axis, there would be a number inside a set of () with the x, like this: (x-3)^2. But that is not there in your case, so the x coordinate of the vertex stays right where it starts, at the origin, or x = 0. The "minus 2" indicates y movement: down 2 units. So the vertex sits at (0, -2). The axis of symmetry is the same as what the x coordinate is, but in equation form. So the axis of symmetry has an equation of x = 0.