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hoa [83]
3 years ago
10

Please help me with this question:)

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

can you type the problem out please i will answer it i just the picture is kinda weird for me

Step-by-step explanation:

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Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Cons
Yuri [45]

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

5 0
3 years ago
If laura bought 2.1 pounds of apples is the price per pound of apples greater than or less than $1? How can you tell?
krok68 [10]

Answer

greater than $1.

Step-by-step explanation:

the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.

6 0
3 years ago
Read 2 more answers
Mrs. Mitchell decided to grade her projects by giving each student 50 points if they turned in a project and then an additional
photoshop1234 [79]
Let c be the amount of parts the student answered correctly.  Suppose that s(c) is a function between c and the score of a student's project.  As the student initially receives a fixed 50 points for turning the project in and 5 points for each correct part, the function is initially:

s(c) = 5c+50

When the students receive 7 points for each correct part, the coefficient of c changes, as the amount of points received per correct answer increases.  Thus:

s(c) = 7c+50.
6 0
3 years ago
(14v^7x^2-3v^7x^5)divided by (-2v^4x^3)
Dmitrij [34]

.1 Simplify: 5n(2n3+n2+8)+n(4-n).

Solution:

5n(2n3+n2+8)+n(4-n).

= 5n × 2n3 + 5n × n2 + 5n × 8 + n × 4 - n × n.

= 10n4 + 5n3 + 40n + 4n – n2.

= 10n4 + 5n3 + 44n – n2.

= 10n4 + 5n3 – n2 + 44n.

Answer: 10n4 + 5n3 – n2 + 44n

5 0
3 years ago
Please help me on this question
Alina [70]

Answer:

DE = 13.4 cm  (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm    (opposite sides of a square are congruent)

E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2)    ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

8 0
3 years ago
Read 2 more answers
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