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


Related Questions

Find the missing side x=

Please help ASAP I will mark brainlist.

Answers

Answer:

Step-by-step explanation:

please please please help me i will give you brainliest

Answers

Answer:

∠QPT=122°

Step-by-step explanation:

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

∠PRQ+∠PRS=180

∠PRQ+118=180

∠PRQ=180-118

∠PRQ=62°

All angles in a triangle add to 180. Therefore:

∠PQR+∠QPR+∠PRQ=180

60+∠QPR+62=180

∠QPR+122=180

∠QPR=58°

Angles along a straight line add to 180. Therefore:

∠QPT+∠QPR=180

∠QPT+58=180

∠QPT=122°

id really appreciate it if someone helped me , i’ll give you brainliest

Answers

Answer: it’s the same 110 degrees

Step-by-step explanation:

Answer: 110 is the correct answer

through: (5,-1) and (-3,-5)​

Answers

Answer:

If you are trying to find slope the answer is 1/2

Step-by-step explanation:

I'm sorry if im wrong but thats if you're trying to find slope if you're not my bad.

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

Solve the system by Graphing

Answers

Step-by-step explanation:

HELP TIMED IS THIS RIGHT?

Answers

Answer:16 is the answer of your question

hope it is helpful to you

Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]

Answers

Answer:

10.77 is correct answer

use x1=-5 ,x2=5

y1=4 y2=8

Two consecutive integers have a product of 12. What is the initial equation that would be used
to solve this?
x² = 12
x(x + 1) = 12
2 (2+2) = 12
x(x − 2) = 12

Answers

Answer:

x(x+1) = 12

Step-by-step explanation:

If a number is x then it's consecutive number will be x + 1.

And their product x(x+1)

{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)

Answers

Answer:

335

Step-by-step explanation:

Brep

335??? I just did this ☺️.....

The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket

Answers

Answer:

$105.13

Step-by-step explanation:

[540.50 - (4 x 30)]/4 = $105.125

Benny went to 36 baseball games this year he went to 40 games last year how many baseball games did Benny go to in total

Answers

Answer:

76

Step-by-step explanation:

36+40=76

Hope this helps!!

Answer:

76 games in total

Step-by-step explanation:

Find the slope of the line -2x - 5y = 10

Answers

Answer:

-2/5

Step-by-step explanation:

To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.

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

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

-2x - 5y = 10

+2x         +2x

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

-5y = 2x - 10

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

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]

Find the measure of the missing angles.
b
100°
0

Answers

Step-by-step explanation:

Angle b + 100 = 180 (angles on the same straight line)

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

Angle c = Angle b (Vertically opposite angles)

= 80 deg

The skating rink charges $0.75 to rent skates and $1.25 per hour to skate. Which equation
can be used to find the number of hours (h) someone skated if he or she was charged
$4.50?

a) 0.75 + 1.25 = 4.50
b) h(0.75 + 1.25) = 4.50
c) 0.75 + 1.25h = 4.50
d) 0.75h + 1.25 = 4.50

Answers

Answer:

C.

It can be read as...

".75 was charged for skates, and 1.25 was charged per hour for a total of 4.50."

No other answer choice has this. A does not have the variable h, B includes .75 which is NOT charged per hour, as well as D.

I hope this helps you!

Verify a - (- b) = a + b for the following values of a and b.
() a = 23, b = 14
(ii) a = 128, b = 105

Answers

23 - (-14) = 23 + 14 = 37

128 - (-105) = 128 + 105 = 233

PLEASE ANSWER THIS QUESTION

(WARNING : I ASK YOU GUYS FOR THE LAST TIME, I CAN'T DOWNLOAD ANYTHING BECAUSE MY COMPUTER IS WEIRD SO PLEASE DON'T TELL ME TO DOWNLOAD THE ANSWER AND JUST GIVE ME THE ANSWER PLEASE)

Answers

the answer is 135 cubes.

WILL GIVE BRAINLIEST!!! The two larger segments below are perpendicular. Find the area of the shaded region to the nearest integer.

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!

I deposited $ 50,000.00 in Chase Bank at 4%. How long my money has to stay in the bank to double ?

Answers

whyu

Step-by-step explanation:

.whyww

solve the square root equation
5-2√x=11

Answers

Answer:

There is no value to make x true in this equation.

This is a no-solution problem.

How is this happening i was only gone for 2 weeks

Answers

Answer:

step it up dont lack

Step-by-step explanation:

keep answering and helping others

Solve this inequality. 8x + 6 < 54

Answers

Answer:

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

Inequality Form:

x < 6

Interval Notation:

( − ∞ , 6 )

Answer:

Inequality:8x+6<54

Do minus 6 on each side:8x<54

Now do divided by 8 on each side:x=6.75

Step-by-step explanation:

Alice has 5 quarters and 2 nickels. How many cents does Alice have

Answers

Answer:

Alice has 135 cents, or $1.35.

Step-by-step explanation:

A quarter is worth 25 cents.A nickel is worth 5 cents.Multiply 25 by 5, since there are 5 quarters. That will give you 125.Multiply 5 by 2, since there are 2 nickels. That will give you 10.Add 125 and 10. That will give you 135, which is your answer!

A dunk tank with a radius of 36 inches

Answers

Answer:

The circumference of the circle is about 226.08 inches. ANSWER: 3.14 × 72 = 226.08 in.

Step-by-step explanation:

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

if 400g is 1kg find the ratio in the simplest form​

Answers

Answer:

2 : 5

Step-by-step explanation:

The quantities must have the same units of measure

400 g : 1 Kg

= 400 g : 1000 g ← divide both parts by 200

= 2 : 5

Find the area of the following trapezoid. 5 7 14

Answers

Answer:

84

Step-by-step explanation:

5+7 times 14 divided by 2 i think there's no pic

Answer:

Welp, you didn't provide a picture so I'll go with every choice.

Step-by-step explanation:

If the two bases are 5 and 7, and the height is 14, then the area is 84.

If the two bases are 5 and 14, and the height is 7, then the area is 66.5.

If the two bases are 7 and 14, and the height is 5, then the area is 52.5.

The formula for the area of a trapezoid is : (a+b)/2 * h

Which table shows y=-x+4

Answers

.....the correct answer is C

Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above

Answers

Answer:

A corresponds to angle E

Please help with this question

Answers

Answer:

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

June 30, 1861: Battle of Philippi. ...

July 21, 1861: First Battle of Bull Run/First Battle of Manassas. ...

August 28-29, 1861: Battle of Hatteras Inlet Batteries. ...

October 21, 1861: Battle of Ball's Bluff. ...

November 7, 1861: Battle of Belmont. ...

January 19, 1862: Battle of Mill Springs.

A bag contains 12 marbles: 3 red, 4 green, and 5 blue.

Suppose you draw two marbles from the bag, one at a time, without replacement.

What is the probability that the first marble is blue and the second marble is green?

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:

Other Questions
8/6 + (3/8 + x)(2) = Which type of reproduction results in variation of offspring? Finding slope.. Photo included^ Two coins rotate on a turntable. Coin B is twice as far from the axis as coin A. The angular velocity of A is _______ that of B. The centripetal acceleration of A is _________ that of B.a. Quarter b. half c. Equal d. Twice e. four times Why are accounting transactions for governmental activities atthe governmental-wide level reported differently than transactionsat the General Fund level? Please provide specific examples tosupport helpppppppppppppppppppppppppp.............................................. 1. Measuring national economic performance helps governments decide on tax policies and spending priorities 2. Population size is a limitation of the GDP as a measure of economic welfare There is a lo What is the range and domain of y = (x - 4)(x - 6)? I have already sketched out the graph and parabola. Eleven increased by three times a number equals 68) Write an equation for this situation and then find thenumber giving preference to the candidate because you have a lot of commonalities, like having similar hobbies or because you studied at the same university is not an unconscious bias* Scenario 2:The price of gas rises by $1 per gallon the last month. As you travel through southern california you notice an increase in oil drilling operations. In previous trips you noticed a handful of operations, this trip you're seeing hundreds and hundreds of oil manufacturing centers. Does this scenario relate to the law of supply, demand, or neither? Justify why you believe this to be true. Pls help Ill add extra points and brainlest a. You have been offered an investment that will pay you 9% per year. If you invest $15,000, how long until you have $45,000?b. Which do you prefer $5,500 cash now, or $1200 each year for 5 years? Assume a discount rate of 10%. Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of CrustNumber Sold Thin crust 312 Thick crust245 Stuffed crust179 Pan style304 If You Have NO EXPLANATION Don't ANSWER i need help i will crown brainiest How do humans influence the availability of renewable and non-renewable resourceson earth?Please provide an example in your explanation. classify each event either as shifting the aggregate demand curve or as causing movement along the curve.Shifts the Aggregate Demand Curve :Causes Movement Along the Aggregate Demand Curve :- People notice prices going up and their purchasing wer going down as a result - As inflation drops to nearly zero, people save more and therefore more loanable funds are available - State governments cut their budgets for infrastructure maintenance. - Technological advances generate wealth in a broad range of industries. Malik and Nora are playing a video game.Malik starts with m points and Nora starts n points.Then Malik gets 150 more points, while Nora loses 50 points.Finally, Nora gets a bonus and her score is doubled.Nora now has 50 more points than Malik.Enter an equation that represents the relationship between m and ngiven the information above. Based on the expression of what is supposed to be the parting cry of mothers in Sparta to their sons, what is considered important to them?"Come back with your shield - or on it." A. Education B. Family C. Fighting D. Colonizing