For this case we have:
x: Number of candies that Sydney has
The equation to find the amount of Sydney sweets is given by:

We want to clear x:



So, Sydney has 10 candies
Answer:
Sydney has 10 candies
Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
Answer:
X > (whatever the symbol is) 0
Step-by-step explanation:
kinda like algebra:
x + 2 > 2
X > 0
If Amelia starts with 6 feet of wire, the amount of necklaces that she can make is 18.
<h3>What is the
necklaces about?</h3>
Jewelry wire is known to be a kind of a wire that can be either a copper, brass, or others that are often used in jewelry making.
Note that Wire is seen today as a single unit, and it is also seen to be cylindrical, elongated part of drawn metal.
Using the table:
6 ÷ 1/3
= 6 x 3
= 18
Therefore, If Amelia starts with 6 feet of wire, the amount of necklaces that she can make is 18.
Therefore, option A is correct.
Learn more about Wiring from
brainly.com/question/14792853
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