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
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
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)
through: (5,-1) and (-3,-5)
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.
please please please help me i will give you brainliest
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°
Find the slope of the line -2x - 5y = 10
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
HELP TIMED IS THIS RIGHT?
Answer:16 is the answer of your question
hope it is helpful to you
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?
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:
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
Answer:
$105.13
Step-by-step explanation:
[540.50 - (4 x 30)]/4 = $105.125
Alice has 5 quarters and 2 nickels. How many cents does Alice have
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!solve the square root equation
5-2√x=11
Answer:
There is no value to make x true in this equation.
This is a no-solution problem.
Solve this inequality. 8x + 6 < 54
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:
Which table shows y=-x+4
.....the correct answer is C
How is this happening i was only gone for 2 weeks
Answer:
step it up dont lack
Step-by-step explanation:
keep answering and helping others
Verify a - (- b) = a + b for the following values of a and b.
() a = 23, b = 14
(ii) a = 128, b = 105
23 - (-14) = 23 + 14 = 37
128 - (-105) = 128 + 105 = 233
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
Answer:
76
Step-by-step explanation:
36+40=76
Hope this helps!!
Answer:
76 games in total
Step-by-step explanation:
Solve the system by Graphing
Step-by-step explanation:
Find the area of the following trapezoid. 5 7 14
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
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
Answer:
10.77 is correct answer
use x1=-5 ,x2=5
y1=4 y2=8
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
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!
A dunk tank with a radius of 36 inches
Answer:
The circumference of the circle is about 226.08 inches. ANSWER: 3.14 × 72 = 226.08 in.
Step-by-step explanation:
Please help with this question
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.
Find the measure of the missing angles.
b
100°
0
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
Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above
Answer:
A corresponds to angle E
{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)
Answer:
335
Step-by-step explanation:
Brep
I deposited $ 50,000.00 in Chase Bank at 4%. How long my money has to stay in the bank to double ?
whyu
Step-by-step explanation:
.whyww
Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?
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 missing side x=
Please help ASAP I will mark brainlist.
Answer:
Step-by-step explanation:
if 400g is 1kg find the ratio in the simplest form
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
WILL GIVE BRAINLIEST!!! The two larger segments below are perpendicular. Find the area of the shaded region to the nearest integer.
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!
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)
id really appreciate it if someone helped me , i’ll give you brainliest
Answer: it’s the same 110 degrees
Step-by-step explanation:
Answer: 110 is the correct answer