19.25 rounded to the nearest ones is 20
Answer:
(a)
The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.
(b)
The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2
(c)
Probability that no one or one person will be injured = P(X = 0) + P(X = 1)
= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1
= 0.810 + 10 * 0.2 * 0.89
= 0.3758096
(d)
Average value of X = np
Average value of X = 10 * 0.2 = 2
(e)
Variance of X = np(1-p)
Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6
(f)
Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45
Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1
= 9! / ((9-1)! 1!)
= 9
Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured
= 9 / 45
= 0.2
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
Answer:
The measurement of arc AD is 53°
The measurement of arc BC is 39°
Step-by-step explanation:
Let
x----> the measurement of arc AD
y---> the measurement of arc BC
we know that
The measure of the internal angle is the semi-sum of the arcs comprising it and its opposite
so
m∠DEA=(1/2)[x+y]
substitute the value
46°=(1/2)[x+y]
92°=[x+y] -----> equation A
The measurement of the external angle is the semi-difference of the arcs which comprises
m∠P=(1/2)[x-y]
substitute the value
14°=(1/2)[x-y]
28°=[x-y] -----> equation B
Adds equation A and equation B
92°+14°=2x
x=106°/2=53°
Find the value of y
substitute in the equation A the value of x
92°=[53°+y]
y=92°-53°=39°
Answer:
10.75$
Step-by-step explanation:
$5.00 + $2.75 + $3.00 = $10.75 x5 = $53.75
Ticket Drink Popcorn Multiply it by five,
Results is $53.75
Make sure to brainiest me!
- Jackson
