There is a typing mistake in part (d) of the question. Original question states that total student are 17. In part (d) it asks out of 12 which I think is a mistake as total is 17. Therefore, I am finding the answers with total students as 17. In case if the total is 12 then by just replacing 17 with 12 we can find the answer.
Answer:
All the answers and explanations are given below.
Step-by-step explanation:
(a)
The random variable X will be defined as the number of students who will attend the Tet (Vietnamese New Year) festivities this year.
(b)
As X is the number of students so it can take any value from 0 to 17. This means that when X = 0, 0 student will attend the Tet (Vietnamese New Year) festivities this year. Similarly if X = 17, all 17 students will attend the Tet (Vietnamese New Year) festivities this year. It can only take whole number values because its the number of students.
(c)
X follows Binomial distribution with probability of success = 23% (success defined as attending the festivities).
n = 17 (total number of students)
p = 23% = 0.23 (probability of success)
X ~ Binomial (17, 0.23)
(d)
The number can be found out by n*p
n = 17
p = 0.23
np = 3.91
(e)
Using binomial cdf function in the calculator or any Binomial Probability Calculator online we can find
P(X ≤ 4) = 0.65
<em>This means at most the value can be 4. So the we need to find probability of less than or equal to 4.</em>
(f)
To find probability of more than 2 students we first find probability of less than and equal to 2 students and then subtract it from the total probability which is 1.
P(X ≤ 2) = 0.214
P(X>2) = 1 - 0.214
P(X>2) = 0.786
when a single input can produce multiple outputs, the relation is not a function.
Answer:
the maximum height of the ball= 256 feet
7 seconds
Step-by-step explanation:
The quadratic function h ( t ) = − 16t^2 + 96t + 112 models the ball's height about the ground, h ( t ) , in feet, t seconds after it was thrown.
a= -16 , b= 96 and c= 112
To find maximum height , we find vertex
Now plug in 3 for 't' in h(t)
Hence vertex is (3, 256)
the maximum height of the ball= 256 feet
(b) when the ball hits the ground then height becomes 0
so we plug in 0 for h(t) and solve for t
Apply quadratic formula
Plug in all the values a= -16 , b= 96 and c= 112
t= -1 and t= 7
time cannot be negative. So it will take 7 second to hit the ground.
Answer:
9. 75°
10. 60°
Step-by-step explanation:
Note the angle-intercept theorem. If you create an angle in the opposite side of a circle from 2 points on other side, the arc will have a measure TWICE that of the intercepted angle created on other side.
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<u>Question 9</u>
Arc WX has a measure 76, thus the angle created is Angle V, which should be HALF of that. So angle V is 76/2 = 38
Now looking at the triangle inside the circle, we know three angles of a triangle add up to 180, thus we can write and solve for "?" angle:
X + W + V = 180
? + 67 + 38 = 180
? + 105 = 180
? = 180 - 105 = 75°
<u>Question 10</u>
Using the theorem we can say that Angle B is HALF of ARC XYZ.
So,
2*Angle B = Arc XY + Arc YZ
2*102 = Arc XY + 124
204 = Arc XY + 124
Arc XY = 204 - 124 = 80°
Also, Arc BX + Arc XY is twice that of Angle Z (which is 70), thus
Arc BX + Arc XY = 70 *2
Arc BX + Arc XY = 140
Arc BX + 80 = 140
Arc BX = 140 - 80 = 60°
Answer:
<h2>A.</h2><h2>3x3x3x3</h2>
Step-by-step explanation:
I hope this helps
