The score of 96 is 2 standard deviations above the mean score. Using the empirical rule for a normal distribution, the probability of a score above 96 is 0.0235.
Therefore the number of students scoring above 96 is given by:
Answer:
Multiply by ∛2 and translate the graph to left by 4 units.
Step-by-step explanation:
The initial function given is:
y = -∛(x - 4)
The transformed function is:
y = -∛(2x - 4)
Consider the initial function.
y = -∛(x - 4)
(Represented by Black line in the graph)
Multiply the function by ∛2. The function becomes:
y = -∛(x - 4) × ∛2
y = -∛(2)(x-4)
y = -∛(2x-8)
(Represented by Red line in the graph represents this function)
Translate the graph 4 units to the left by adding 4 to the x component:
y = -∛(2x-8+4)
y= -∛(2x - 4)
(Represented by Blue line in the graph)
Let's denote students in D = in the drama club , S<span> = in a sports team </span>
<span>P(D) = 85/330 </span>
<span>P(S) = 200/330 </span>
<span>
P(D and S) = 60/300 </span>
<span>
P(D or S) = P(D) + P(S) - P(D and S) </span><span>= 85/330 + 200/330 - 60/330 = 15/22 </span>
<span>
P(neither D nor S) = 1- 15/22 </span><span>= 7/22</span>
Solution:
x y ║ z w→→Given
Also, x z is a transversal, that intercepts x y and z w.
So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.
Also, v is point of intersection of x z and y w.
∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]
So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]
we are given

we can use average rate of change formula from t=a to t=b

Here, we are given from t=1 to t=4
so, we will get formula as

now, we can plug values

now, we can simplify it

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4 is 10 acres/ month.............Answer