Answer:
a) about 0.7 seconds to 5.1 seconds.
b) Listed below.
Step-by-step explanation:
h - 1 = -5x^2 + 29x
h = -5x^2 + 29x + 1
a) We will find the amount of time it takes to get to 18 meters.
18 = -5x^2 + 29x + 1
-5x^2 + 29x + 1 = 18
-5x^2 + 29x - 17 = 0
We will then use the quadratic formula to find the answer.
[please ignore the A-hat; that is a bug]
= 
= 
= 
= 
and 
= 0.6616970714 and 5.138302929
So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.
b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.
Hope this helps!
Answer:
0.0183
Step-by-step explanation:
The percentage of students, who received their DTaP vaccine is 95%.
This implies that:
and
The standard deviation of the proportion is
We want to find the probability, that the sample proportion,
7 times 30 is 210
answer: 30
Answer: The correct options are 1,2 and 3.
Explanation:
If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.
According to the reflection rule across the x-axis,
From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).
After reflection,
Therefore the option 1 and 2 are correct.
From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.
Therefore, the option 3 is correct.
From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.
Therefore, the option 4 is incorrect.
From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.
