Answer:
0.1529
Step-by-step explanation:
Given that:
Probability of changing lane ; p = 45% = 0.45
Sample size (number of trials) = n = 7
Probability that atleast 5 vehicles will change lane :
Using the binomial probability formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
(1 - p) = 1 - 0.45 = 0.55
P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)
P(x = 5) = 7C5 * 0.45^5 * 0.55^2
P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221
P(x = 6) = 7C6 * 0.45^6 * 0.55^1
P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969
P(x = 7) = 7C7 * 0.45^7 * 0.55^0
P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736
P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)
P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736
P(x ≥ 5) = 0.152926
P(x ≥ 5) = 0.1529
Using the binomial distribution, it is found that there is a 0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.
For each vehicle, there are only two possible outcomes, either they change lanes while making a turn, or they do not. The probability of a vehicle changing lanes while making a turn is independent of any other vehicle, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The probability that a vehicle will change lanes while making a turn is 45%, hence [tex]p = 0.45[/tex].A sample of 7 vehicles is taken, hence [tex]n = 7[/tex].The probability that at least 5 vehicles will change lanes while making the turn is:
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.45)^{5}.(0.55)^{2} = 0.1172[/tex]
[tex]P(X = 6) = C_{7,6}.(0.45)^{6}.(0.55)^{1} = 0.0320[/tex]
[tex]P(X = 7) = C_{7,7}.(0.45)^{7}.(0.55)^{0} = 0.0037[/tex]
Then
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1172 + 0.0320 + 0.0037 = 0.1529[/tex]
0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
what is the following quotient? 3sqrt60/3sqrt20
Answer:
Step-by-step explanation:
3 sqrt 60 / 3 sqrt 20
3 gets cancelled
(sqrt 20 × sqrt 3)/sqrt 20
sqrt 20 gets cancelled
Sqrt 3 is the answer
Item 2
Find the area of the trapezoid.
b1=4,b2=8,h=2
ASAP TIMED WILL GIVE 35 POINTS>
Answer:
12 units squared.
Step-by-step explanation:
The formula for the area of a trapezoid is 1/2(base1+base2)*height. First, add the two bases together. 4+8=12. Then multiply that number by both 1/2 and the height, 2. 1/2*2*12 equals 12 units squared.
3. Find the annual salary for Kathy if she is paid $2.100 every other week.
Annual Salary = Biweekly Salary * 26
SOMEONE PLEASEE SOLVE!!
4√-88
Answer:
37.5*i
Step-by-step explanation:
4√88*√-1
4*(9.4)*i
37,7*i
How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
i believe it only has one solution, which would be x=12.
Step-by-step explanation:
Answer:
write Then finding matrix the system as a matrix equation, solve a matrix equation by the inverse of the coefficient , S 4X-5v=lle 25x-ley=19 X-ley= 19
Step-by-step explanation:
its in answer
Help me plzzz
A photograph measures eleven inches wide and fourteen inches long. The picture is enlarged to fit on a wall. If the new larger picture is 231 inches wide,how long is it?
-294 inches
-412.5 inches
-234 inches
-181.5 inches
Answer:
294 inches
Step-by-step explanation:
Similar figures have congruent corresponding angles and proportional corresponding sides.
Martha made 5 out of 6 free throws, Mary made 7 out of 8. Who is the better
shooter? Explain completely?
Answer:
Mary
Step-by-step explanation:
just do it trust me
The graph show the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, how many pens does it sell?
just look at the graph fam its 18 pens
PLEASEEE HELP ME PLEASEE!!
determine whether the relationship is a function or not a function.
Answer
not a function
Step-by-step explanation:
Answer:
kk
Step-by-step explanation:
ok
Solve the system of equations by substitution.
3x+y = 10
7x+ 2y= 24
A. (2,4)
B. (2,-6)
C. (4,-2)
D. (2,-4)
If you can, explain step by step please :)
Answer:
C
Step-by-step explanation:
3x+y=10---(1)
7x+2y=24---(2)
From(1)
3x+y=10
y=10-3x---(3)
Substitute(3)into(2)
7x+2y=24
7x+2(10-3x)=24
7x+20-6x=24
x+20=24
x=24-20
x=4
Substitute x=4 into (1)
3x+y=10
3(4)+y=10
12+y=10
y=10-12
y=-2
How to find inequalities
Answer:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Hope that helped happy holidays!
Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga studio A (Membership: $22.50 and monthly: $24.50) Yoga studio B (Membership: $47.00 and monthly: $18.25)
PLEASE ANSWER ASAP FOR 35 POINTS :)
Answer:
4 months
Step-by-step explanation:
Answer:
4 months
Step-by-step explanation:
Which graph represents z = (–3 + 4i) – (2 + i)
Answer:
D
Step-by-step explanation:
I got it right in edg2020
Your question is incomplete. But the following graph describes the equation you have given.
Which graph represents z = (–3 + 4i) – (2 + i).
The graph which represents z = (–3 + 4i) – (2 + i) is attached with this answer.
We have,
z = (–3 + 4i) – (2 + i)
Now,
Simplify this given expression of complex number ;
i.e.
z = (–3 + 4i) – (2 + i)
z = -3 + 4i - 2 - i
We get,
z = -5 + 3i
Now,
We will graph this z = -5 + 3i complex number on cartesian coordinate,
So,
In cartesian coordinate when we graph any complex number then the constant value i.e. (-5) is represented on the x-axis and the imaginary value i.e. (3i) will be on the y-axis.
Learn more about the complex number here:
https://brainly.com/question/10251853
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ok so i know that you want brainleist but pls answer first?!
Step-by-step explanation:
[tex]Expression: \frac{40}{y - 16} [/tex]
[tex]When \: y=20, \: the \: value \: of \: the \: expression \: is \: \frac{40}{4} = 10 [/tex]
Let v represent the value of a bank acount, in thousands of dollars, t yearsaftertye account is opend at the bank
Answer:
could you explain it more
Step-by-step explanation:
Find the rate of change.
Answer:is 5 because it multiply by 5.
Step-by-step explanation:
The Chin family is having new carpet installed in the dining room. The carpet costs $249 for installation and $9 for each square yard. It cost the Chin family $465 to carpet the dining room.
Answer:
The Chine family installed 24 square yards
Step-by-step explanation:
Make an equation:
$249 prior to installing carpet
$9: per square yard, 9 can be represented as 9x because we don't know how many square yards are being installed
$465: total spent
9x + 249 = 465
subtract 249 from 465
then divide 9 by whatever 249 - 465 equals
A sequence starts 10, 20, ...
A) Find the next two terms if it is arithmetic. Show/explain your process!
B) Find the next two terms if it is geometric. Show/explain your process!
Answer:
B Find the next two terms If it is geometric
can you help me please
Click the photo to find the measure of each interior angle of the regular polygon
==============================================
Work Shown:
n = number of sides = 6
i = measure of interior angle
i = 180(n-2)/n
i = 180(6-2)/6
i = 180(4)/6
i = 720/6
i = 120
Each interior angle of this regular hexagon is 120 degrees.
-----------------
Alternative Approach:
E = exterior angle
E = 360/n
E = 360/6
E = 60
Each exterior angle of this regular hexagon is 60 degrees
i+E = 180
i = 180-E
i = 180-60
i = 120
We get the same answer.
Find the inverse: f(x) = 4 + 4/5 x.
Answer:
f−1(x)=5x4−5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.
2+5+4 =11
Expect the 13 people/students who didn't play,
Total people 24
P = 24-13=11
P = 11/24
The probability will be equal to 11/24.
To know more about probability follow
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i need help with this pleasee
Answers:
angle GFH = 60 degreesangle GHD = 110 degreesangle FGH = 10 degrees================================================
Explanation:
Angle CFG is given to be 120 degrees.
The angle to the right that's adjacent to this is angle GFH. The two angles add to 180
(angle CFG) + (angle GFH) = 180
(120) + (angle GFH) = 180
angle GFH = 180 - 120
angle GFH = 60 degrees
-----------------------
Angle XGA is 70 degrees. Note how it corresponds to angle XHC since both angles are in the same northwest quadrant of their four-corner angle configuration.
Corresponding angles are congruent due to the parallel lines AB and CD.
This means angle XHC is also 70 degrees.
We'll use the same idea as in the last section
(angle XHC) + (angle GHD) = 180
(70) + (angle GHD) = 180
angle GHD = 180 - 70
angle GHD = 110 degrees
--------------------
Focus on triangle FGH.
We want to find angle FGH, which is the same as angle G when focusing solely on triangle FGH and no other points or triangles.
In the previous two sections, we found
angle GFH = 60angle XHC = 110This can be shortened to
angle F = 60angle H = 110Again we must focus solely on triangle FGH and nothing else.
So we have
angle F = 60angle G = unknownangle H = 110Let's solve for G
F+G+H = 180 .... angles of a triangle always add to 180
60+G+110 = 180
G+170 = 180
G = 180-170
G = 10
For triangle FGH, angle G is 10 degrees.
This means angle FGH is 10 degrees.
Write the prime factorization of 12. Use exponents when appropriate and order the factors from least to greatest (for example,22•3•5)
Answer:
the answer is 2×2×3 I think
Which expression best estimates
– 184-2į?
O 18-3
-18-3
0-18-(-3)
O 18-(-3)
Can anyone please help me with the last question I’m struggling!
The equation is x=-6
Step-by-step explanation:
In standard form the equation is y=4
And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a
so that is why the equation is x=-6
Answer:
= -5
Step-by-step explanation:
Which of the following best describes the graph of the polynomial function below ?
Answer:
Presumably when they refer to the number of zeros, they're talking about co-ordinates with a y value of zero. In that case, the answer is C, The graph has no zeros.
.
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of squirrels to acorns? Enter your answer in reduced form.
Answer:
1 to 6
Step-by-step explanation:
the ratio is found by dividing 18 by 3 which is 6.
basically, one squirrel per 6 acorns
If you went to a store
and you paid 80% of the
price of a jacket, what
percent was the jacket
discounted?
Answer:
is it 20% I'm not really sure
Answer:
$71.74
Step-by-step explanation:
Given:
Old price of the jacket = $ 80
Discount = 15 %
Therefore, discounted price =
Now, sales tax = 5.5 % on discounted price =
Therefore, the new price of the jacket after discount and paying sales tax is given as:
New price = Discounted price + Sales tax
New price = $ 68 + $ 3.74 = $ 71.74
So, the new price of the jacket is $ 71.74.