HELP Solve for the following equation showing all work step by step. 3646 = 1+5(4r+17)^3/2
1 answer:
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Answer:
Probability of getting doubles = 1/4
Step-by-step explanation:
Given - A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.
To find - Using a sample space diagram, find the probability of getting a double.
Proof -
Given that,
A four-sided spinner is spin twice.
So,
The Sample Space becomes
S = { (1, 1), (1, 2), (1, 3), (1, 4)
(2, 1), (2, 2), (2, 3), (2, 4)
(3, 1), (3, 2), (3, 3), (3, 4)
(4, 1), (4, 2), (4, 3), (4, 4) }
So,
n(S) = 16
Now,
Let A is the event Getting a double, So,
A = { (1, 1), (2, 2), (3, 3), (4, 4) }
and
n(A) = 4
So,
The Probability of getting doubles = n(A) ÷ n(S)
= 4 ÷ 16
= 1/4
∴ we get
Probability of getting doubles = 1/4
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width =
Area = l*w =
Use derivative test
I derivative =
II derivative =
Equate I derivative to 0 and consider positive value only since we want maximum
p =
Thus width=
Length =
Width =