Answer:
Domain: [-2, 0, 2, 4]
Range: [3]
Step-by-step explanation:
The domain of the function are all values of x that are plotted on the horizontal axis (x-axis), while the range are the corresponding y-values plotted on the vertical axis (y-axis).
Therefore,
Domain of the function = [-2, 0, 2, 4]
Range of the function = [3] (only 1 possible value of y can be seen as plotted on the gray]
Answer:
5 row, 3 left
Step-by-step explanation:
She has 48 flowers, 5 flowers one row
How many rows can she make? So divide
48/ 5
= 9.6
So she can only make 9 rows
The leftovers flowers are the flowers that didn't manage to make 5 per row
Therefore, if she can make 9 rows, in other words 9 x 5 = 45
45 flowers were able to be placed in a sequence of 5 per row
So the ones that are left is
48 - 45
= 3
<u>Answer:</u>
<u>Distance:</u> 6x + 15.5y > 55.5
<u>Time:</u> x + y > 4.5
<u>Step-by-step explanation:</u>
We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.
Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
We are to write inequalities representing the distance she traveled and the total time she spent training.
<u>Distance:</u> 6x + 15.5y > 55.5
(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)
<u>Time:</u> x + y > 4.5
(she trained for more than 4.5 hours, x hours for running and y hours for biking.
All you have to do is plug in the number for x, and find y. I will write this out as if in that chart you have shown.
x y = 9 - 3x y
_______________________________________
0 y = 9 - 3(0) 9
1 y = 9 - 3(1) 6
2 y = 9 - 3(2) 3
3 y = 9 - 3(3) 0
Hope that helps!!
Answer:
a)
And we can find this probability with the complement rule:
b)
And if we use the z score we got:
Step-by-step explanation:
Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:
Where and
Part a
We are interested on this probability
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability with the complement rule:
Part b
For this case we select a sample of n =44 and the new z score formula is given by:
And if we find the z score we got:
And if we use the z score we got: