Answer:
8 seconds
Step-by-step explanation:
Given
h = - 5t² + 40t
When the object hits the ground then h = 0
Substitute h = 0 into the function and solve for t
- 5t² + 40t = 0 ← factor out - 5t from each term
- 5t(t - 8) = 0
Equate each factor to zero and solve for t
- 5t = 0 ⇒ t = 0
t - 8 = 0 ⇒ t = 8
t= 0 denotes the time of launch
t = 8 denotes the time it hits the ground
Answer:
(9,9)
Step-by-step explanation:
Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).
To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.
This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.
The x values are 4 and 14. The midpoint is
14-4=10
10/2=5 (the midpoint is 5 away from each reference point)
4+5=9
The midpoint is 9 for the x values. This means the x-value for the point is 9.
Repeat for y-values:
10-8=2
2/2=1
8+1=9
The midpoint is 9, therefore it has the y coordinate of 9.
Therefore the coordinates for the point are (9,9).
Hope this helped!
Answer:
3) (98.08, 124.16)
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 111.12
Standard deviation = 13.04
Calculate an interval that is symmetric around the mean such that it contains approximately 68% of fines.
68% of the fines are within 1 standard deviation of the mean speed. So
From 111.12 - 13.04 = 98.08 to 111.12 + 13.04 = 124.16
The interval notation in the smallest value before the highest value.
So the correct answer is:
3) (98.08, 124.16)
Answer:
$1.99 is more expensive.
Step-by-step explanation:
Given:
One type of lace edging cost $0.80 per foot
Another type of lace edging cost $1`.99 per foot.
We need to find which is more expensive.
In $0.88 where one's place is 0.
In $1.99 where one's place is 1.
By comparing the one's place obviously $1.99 more expensive.
Hope you will understand the concept.
Thank you.
1-4 are not there but here it is without them
