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IRINA_888 [86]
2 years ago
8

Please help asap thanks so much!

Mathematics
1 answer:
sesenic [268]2 years ago
7 0

Answer:

see the attachment photo!

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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
What's 32.88 divided by 0.6​
otez555 [7]
It’s 54.8 I’m pretty sure
(I hope this helps!)
8 0
3 years ago
Read 2 more answers
Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2
ololo11 [35]
<h3>6w^2 +8w +4 is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

w^2 + 7w^2 + 8w -5+9-2w^2

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

w^2 + 7w^2 + 8w -5+9-2w^2

Group the like terms

w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4

Thus the given expression is simplified

4 0
3 years ago
Express 4 4/9 as an improper fraction. Example please.
miskamm [114]
Simple...

you have: 4 \frac{4}{9}

To make this into an improper fraction-->>

1.) Multiply whole number by denominator

2.)Add the number you got plus the numerator

3.) Use the original denominator to finish your improper fraction

Example: 4\frac{4}{9}

4*9=36

36+4=40

\frac{40}{9}

Thus, your answer.
3 0
3 years ago
Need help on this question
IceJOKER [234]
The correct answer would be at and t because its cheaper  for 50 text
8 0
3 years ago
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