1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a thorough medical screening before they are allowed to race again. A certain performer has an independent .04 probability of a crash in each race. a) What is the probability she will have her first crash within the first 30 races she runs this season

Answers

Answer 1

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that [tex]p = 0.04[/tex]

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

When [tex]n = 30[/tex]

We have that:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season


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Step-by-step explanation:

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

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Interval Notation:

( − ∞ , 6 )

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

226.08 your welcome now can u help me with my history work

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Answer:

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Answer:

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Answers

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0

Answers

Step-by-step explanation:

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[tex]b + 100 = 180 \\ b = 180 - 100 \\ = 80[/tex]

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Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

→ Divide the gallon by the number of glasses

[tex]\frac{1}{10}[/tex]

Solve the system by Graphing

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Step-by-step explanation:

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Answers

Answer:

I wont be able to help much and get you till all the way to the end but here is what i know:

Step-by-step explanation:

The radius of the smaller circle is 6, and the longer segment adds up to 12 since 6 + 6 = 12. the area of the whole bigger circle would be 452.389, by using the formula of the area of a circle "πr²". This is what i can tell and the only part I'm confused in how to find the area of JUST the shaded part. I hope this helped a bit!

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Answers

Answer:

76

Step-by-step explanation:

36+40=76

Hope this helps!!

Answer:

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Step-by-step explanation:

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Answers

Answer:

10.77 is correct answer

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Answer:

hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...

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Answers

Answer:

x(x+1) = 12

Step-by-step explanation:

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Answers

Answer:

The probability is that the first marble is blue is 5/12 and the probability that the second marble is green is 4/11

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

2 : 5

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The quantities must have the same units of measure

400 g : 1 Kg

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Answers

whyu

Step-by-step explanation:

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Answers

Answer:

-2/5

Step-by-step explanation:

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=================================================================

Add 2x to both sides. [Addition Property of Equality]

-2x - 5y = 10

+2x         +2x

-------------------

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Divide -5 on both sides. [Division Property of Equality]

-5y/-5 = 2x/-5 - 10/-5

y = -2/5 x + 2

Comparing to y = mx + b form, we see that our m value, or slope is -2/5

--------------------------------------------------------------------------------------------------------------

m= -2/5

=================================================================

Hope I Helped, have a fantastic day!

                  -Aadi x

HELP TIMED IS THIS RIGHT?

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Answer:16 is the answer of your question

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OB
Oc
ОЕ
OD
none of the above

Answers

Answer:

A corresponds to angle E

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Answers

Answer:

C.

It can be read as...

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

∠QPT=122°

Step-by-step explanation:

Angles along a straight line add up to 180. Therefore:

∠PRQ+∠PRS=180

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∠PRQ=180-118

∠PRQ=62°

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60+∠QPR+62=180

∠QPR+122=180

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∠QPT+∠QPR=180

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Answers

Answer:

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Step-by-step explanation:

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Find the parabola through
(
5
,

1
)
(
5
,
-
1
)
with vertex
(

3
,
5
)
(
-
3
,
5
)
using the vertex form
y
=
a
(
x

h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
.
Standard Form:
y
=

3
32
x
2

9
16
x
+
133
32
y
=
-
3
32
x
2
-
9
16
x
+
133
32
Vertex Form:
y
=

3
32
(
x
+
3
)
2
+
5
y
=
-
3
32
(
x
+
3
)
2
+
5
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