First we calculate the z-score for this situation.

Finding <em>P</em>(x < 5.3) is the same as finding <em>P</em>(<em>z</em> < -0.8). Using a table of standard normal distribution and z-scores we see that the probability is 0.21186.
Answer:
30420ft
Step-by-step explanation:
We have to break the shape into two. So..
13 times 26=338
now the top..23-13=10
10 times 9 = 90
338 times 90 = 30420 ft
Out of every 11 students 7 were girls. Set up the following proportion.
11/7 = 77/x Cross multiply
11x = 7*77
x = 7*77/11
x = 49
49 of the student council members were girls.
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
8 inches.
Step-by-step explanation:
In the first bounce, the height that the ball reaches was 125 inches.
If the ball always bounces back to
of the height, then after 2nd bounce it will reach
inches height.
Again, after 3rd bounce, it will reach
inches height.
And, after 4th bounce, it will reach
inches height. (Answer)