Answer:
5 5/8
Step-by-step explanation:
I just know
The probability that x will be at most 2 will be 0.89.
<h3>What is probability?</h3>
It should be noted that probability simply means the likelihood of the occurence of an event that's given.
Based on the information, let the number of points that can be scored on the statistics examination be depicted by x.
Therefore, the probability that x will be at most 2 will be:
= P(x = 0) + P(x = 1) + P(x = 2)
= 0.13 + 0.21 + 0.55
= 0.89
Therefore, the probability that x will be at most 2 will be 0.89.
Complete question:
Let x be the number of points that can be scored on 1 question of a statistics exam. Below is the probability distribution of how students did. x 0 1 2 3 P(x ) 0.13 0.21 0.55 0.11 Find the probability that x is at most 2.
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9514 1404 393
Answer:
671 feet
Step-by-step explanation:
There are a couple of ways to figure this. One is to use a sort of shortcut equation to find the distance traveled (d) by an object when subject to some initial velocity (v) and acceleration (a). Here the acceleration due to gravity is -32 ft/s².
v² = 2ad
d = v²/(2a) = (192 ft/s)^2/(2·32 ft/s²) = 576 ft
This height is in addition to the starting height of 95 ft, so the arrow's maximum height is ...
max height = 95 ft + 576 ft = 671 ft
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Another way to work this problem is to start with the equation for ballistic motion. Filling in the given initial velocity and height, we have ...
h(t) = -16t^2 +192t +95
The time the arrow reaches the maximum height is the time representing the axis of symmetry of the parabola:
t = -(192)/(2(-16)) = 6
Then the maximum height is ...
h(6) = -16·6^2 +192·6 +95 = 671
The maximum height is 671 feet.
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<em>Additional comment</em>
For the standard-form quadratic ...
y = ax^2 +bx +c
The axis of symmetry is ...
x = -b/(2a)
Answer:
-45
Step-by-step explanation:
It is an elipse
D is the answer