Answer:
0.1333 = 13.33% probability that bridge B was used.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Arrives home by 6 pm
Event B: Bridge B used.
Probability of arriving home by 6 pm:
75% of 1/3(Bridge A)
60% of 1/6(Bridge B)
80% of 1/2(Bridge C)
So
[tex]P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75[/tex]
Probability of arriving home by 6 pm using Bridge B:
60% of 1/6. So
[tex]P(A \cap B) = 0.6*\frac{1}{6} = 0.1[/tex]
Find the probability that bridge B was used.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333[/tex]
0.1333 = 13.33% probability that bridge B was used.
The diameter of a circle is 12 miles, what is the length of the 180 degree arc in the simplest form?
9514 1404 393
Answer:
6π ≈ 18.8 miles
Step-by-step explanation:
The full circumference of a 12-mile circle is ...
C = πd
C = π(12 mi)
So, half the circumference of the circle is ...
arc length = 1/2C = (12π mi)/2 = 6π mi ≈ 18.8 mi
please help :((
Use the zeros and the labeled point to write the quadratic function represented by the graph. (1.4)
A. y= x2 - 5x + 6
B. y = 2x2 - 2x - 12
C. y = 2x2 - 10x + 12
D. y = 3x2 + 15x + 18
The quadratic function represented by the graph as given in the attached image is; Choice C; y = 2x² - 10x + 12.
What is the quadratic function represented by the graph?It follows from the task content that the quadratic function which is represented by the graph be determined.
Since the quadratic function can be modelled as follows; y = a (x - p) (x -q) where; a is a constant, and p and q are the roots of the quadratic function.
Hence, since it follows that the roots are 2 and 3; we have;
y = a (x - 2) (x -3)
Hence, to determine the value of constant, a, we must substitute the values defined by the point given; (1, 4) as follows;
4 = a (1 -2) (1 -3)
4 = a(-1) (-2)
4 = 2a
a = 2.
On this note, the required equation is; y = 2 (x - 2) (x - 3).
Ultimately, the required quadratic function is; Choice C; y = 2x² - 10x + 12.
Read more on quadratic functions;
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Kevin's bedroom is 14 feet long and
10 feet wide.
His bathroom is the half the length and half
the width of his bedroom. How do
the areas of these two rooms
compare?
Answer:
bathroom area is 1/4 area of bedroom
Step-by-step explanation:
bathroom area = 35 sq ft
bedroom area = 140 sq ft
Plz ASAP help with question 15 I really need help
Please help I would be really happy:)
Find the complete factored form of the
polynomial:
- m2n5 - 4m3n6
Enter the correct answer.
Answer:
-m^2n^5(1+4mn)
Probability distribution
Answer:
a) The value of q is 0.2.
b) E(X) = 1.85.
Step-by-step explanation:
Question a:
The sum of all the probabilities must be 1. So
[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]
[tex]x + 0.8 = 1[/tex]
[tex]x = 0.2[/tex]
The value of q is 0.2.
Question b:
Multiplication of each value of x by its probability. So
[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]
So the answer is E(X) = 1.85.
Plz answer this question need ASAP
Answer
its b
Step-by-step explanation:
43k 67u 88j
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they usually have homework.
.
Taylor interviews 30 students.
.
Hunter interviews 40 students.
• Grace interviews 20 students.
.
Aidan interviews 70 students.
Whose results are probably the most trustworthy?
A. Taylor's
B. Grace's
C. Hunter's
D. Aidan's
Easton is deciding between two landscaping companies for his place of business.
Company A charges $25 per hour and a $150 equipment fee. Com piny B charges $35
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge fort hours of landscaping. Write an equation for each situation, in terms oft,
and determine the number hours, t, that would make the cost of each company the
same.
Answer:
i. A = $25 t + $150
ii. B = $35 t + $100
iii. Number of hours = 5
Step-by-step explanation:
For company A:
A = $25 t + $150
where A is the amount charged and t is the number of hours of landscaping.
For company B:
B = $35 t + $100
where B is the amount charged and t is the number of hours of landscaping.
When the time is 5 hours, then:
i. A = $25 t + $150
= $25 (5) + $150
= $125 + $150
A = $275
ii. B = $35 t + $100
= $35(5) + $100
= $175 + $100
B = $275
Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.
Use a ratio box to solve this problem. The price of one model of car increased 10 percent in one year. If the price this year is $17,600,
what was the price last year
Answer:
$15,840
Step-by-step explanation:
10% of 17600 = 1760
17600 - 1760 = 15840
Questlon 2 of 10 Which distribution is positively skewed? will give brainliest
Answer:
The answer is B
Step-by-step explanation:
math question pls help asap thxxu
question is in pic
Step-by-step explanation:
you use a cah method which mean to get the angle you divide the adjacent length by hypotenuse and then find the CAH inverse using your calculator to get the angle
The following are house prices in Southern California:
$750,000 $875,000 $800,000 $700,000 $1,000,000 $1, 160,000 $1, 180,000
What is the median house price?
A. $875, 000
B. $1,000,000
C. $700,000
D. $923,000
Answer:
A. 875,000
Step-by-step explanation:
Order them by least to greatest and then find the median from there so, 700,000; 750,000; 800,000; 875,000; 1,000,000; 1,160,000; 1,180,000
875,000 is the middle man so there is your answer
isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?
Answer:
$133,728 would be in the count after 12 hours.
Step-by-step explanation:
Continuous compounding:
The amount of money, in continuous compounding, after t years, is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
Isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously.
This means that [tex]P(0) = 77000, r = 0.046[/tex]
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?
This is P(12). So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(12) = 77000e^{0.046*12} = 133728[/tex]
$133,728 would be in the count after 12 hours.
If the expression below has a positive value, which inequality represents all possible values of x in the expression? -3x
Answer:
x < 0
Explanation:
A negative times a negative equals a positive, and the expression is positive, so x has to be negative/less than 0
I know you already got the answer, but one of the links was deleted so I thought I'd post it as an answer instead of a comment :)
HELPPPPPPPP!!!!!!!!!!! Pleaseeeeeee!!!!!!!
Answer:
C
Step-by-step explanation:
Sorry if this is wrong.
one antifreeze solution is 41% alcohol and another is 24% alcohol. how much of each mixture should be added to make 51 l of a solution that is 35% alcohol.
The circumference of a circle is 119.32 centimeters. What is the circle's diameter?
Use 3.14
c=2πr
119.32=2πr
119.32=2*3.14r
119.32/(2*3.14)=r
r=19
d=2r
d=2*19
ANSWER: d=38cm
Hi can someone answer this question please
Which number line represents the solution to the inequality -7x - 13 ≥ 87
Answer:
x ≤ - 3
Option A
Step-by-step explanation:
Given the inequality :
-7x - 13 ≥ 8
Add 13 to both. Sides
-7x - 13 + 13 ≥ 8 + 13
-7x ≥ 21
Divide both sides by -7
x ≤ - 3
I need the answer fast pls
Answer:
C. A = 0.5*d1*d2
D. A = bh
Step-by-step explanation:
The area of the rhombus can be found depending on what information is made available to us.
If given the lengths of the two diagonals (d1 and d2) of a rhombus which bisect each other, therefore, the formula for finding the area would be:
A = 0.5*d1*d2
Also, if we are given the height (h) and side (b), the formula to use would be:
A = bh
Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders one coffee and three doughnuts and pays $5.00. Cathy orders three coffees, one juice, and four doughnuts and pays $11.50. Find the price of coffee, juice, and doughnuts at this coffee shop.
Answer:
Coffee = $2.00
Juice = $1.50
Doughnut = $1.00
Step-by-step explanation:
Given
Let:
[tex]c = coffee\\ j= juice\\ d = doughnut[/tex]
So, we have:
Anna
[tex]2c + j + 2d = 7.50[/tex]
Barry
[tex]c + 3d = 5.00[/tex]
Cathy
[tex]3c + j + 4d = 11.50[/tex]
Required
The price of each
We have:
[tex]2c + j + 2d = 7.50[/tex]
[tex]c + 3d = 5.00[/tex]
[tex]3c + j + 4d = 11.50[/tex]
Make c the subject in: [tex]c + 3d = 5.00[/tex]
[tex]c = 5.00 - 3d[/tex]
Substitute [tex]c = 5.00 - 3d[/tex] in [tex]2c + j + 2d = 7.50[/tex] and [tex]3c + j + 4d = 11.50[/tex]
[tex]2c + j + 2d = 7.50[/tex]
[tex]2[5.00 - 3d] + j + 2d = 7.50[/tex]
[tex]10.00 - 6d+ j + 2d = 7.50[/tex]
Make j the subject
[tex]j = 7.50 - 10.0 +6d - 2d[/tex]
[tex]j = -2.50 +4d[/tex]
[tex]3c + j + 4d = 11.50[/tex]
[tex]3[5.00 - 3d] + j + 4d = 11.50[/tex]
[tex]15.00 - 9d + j + 4d = 11.50[/tex]
Make j the subject
[tex]j = 11.50 - 15.00 + 9d -4d[/tex]
[tex]j = -3.50 + 5d[/tex]
So, we have:
[tex]j = -3.50 + 5d[/tex] and [tex]j = -2.50 +4d[/tex]
Equate both values of j
[tex]-3.50 + 5d = -2.50 + 4d[/tex]
Collect like terms
[tex]5d - 4d = 3.50 -2.50[/tex]
[tex]d = 1.00[/tex]
Substitute [tex]d = 1.00[/tex] in [tex]j = -3.50 + 5d[/tex]
[tex]j = -3.50 + 5d[/tex]
[tex]j = -3.50 + 5 * 1.00[/tex]
[tex]j = -3.50 + 5.00[/tex]
[tex]j = 1.50[/tex]
To solve for c, we substitute [tex]d = 1.00[/tex] in [tex]c + 3d = 5.00[/tex]
[tex]c + 3 * 1.00 =5.00[/tex]
[tex]c + 3.00 =5.00[/tex]
Solve for c
[tex]c =- 3.00 +5.00[/tex]
[tex]c =2.00[/tex]
I will give Brainiest if you are right
The answer is J. When the circle on the graph is filled in, that means that number is included in the solution.
25x </= 300
Divide both sides by 25
x </= 12
Answer: J
Number line J. beast represents the solution to the inequality.
Step-by-step explanation:
Have a nice day!
Give the other person brainliest! :-)
1.
A diagram of Ryan's yard is shown.
-12 ft
10 ft
14 ft
5 ft
Which expression can Ryan use to find the total
area of his yard?
A. (10+4)(12+5)
B
(10 + 4) X (12 - 5)
C. (12 x 10) - (5 x 4)
D. (12 x 10) + (5 x 4)
Answer:
D. (12 x 10) + (5 x 4)
Step-by-step explanation:
If you draw a line separating the big square from the little square, you have a 12 x 10 large square, and a 5 x 4 smaller square. We know the second dimension of the small square because the large square takes 10ft off of the total length of 4ft.
Calculate both areas separately, then add them together.
A population has a standard deviation of 24. What is the standard error of the sampling distribution if the sample size is 100?
A. 0.48
B. 4.8
C. 0.24
D. 2.4
Answer:
D. 2.4.
Step-by-step explanation:
S.E. = std dev / √N
= 24 / √100
= 2.4.
The standard error of the sampling distribution will be 2.4. Then the correct option is D.
The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, constitutes the statistic's measurement error (SE).
SE = σ / √n
A population has a standard deviation of 24. Then the standard error of the sampling distribution, if the sample size is 100, is calculated as,
SE = σ / √n
SE = 24 / √100
SE = 24 / 10
SE = 2.4
The standard error of the sampling distribution will be 2.4. Then the correct option is D.
More about the standard error link is given below.
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Please help me with this guys
Answer:
reflection across the x axis then reflection across the y axis
Step-by-step explanation:
Find the value of x.
Plsss help me, i need to round to the nearest angle:)
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Answer:
The first option.
Step-by-step explanation:
You take the major vertical length and put it into this equation:
2a = 16
a/2 = 16/2
a = 8
You do the same with the minor length.
2b = 10
b/2 = 10/2
b = 5
You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.
(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1
(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1
Solve for x.
5x - 6 = 4x + 8
Ox=-14
Ox=-2
Ox= 14
Ox=2
Answer: c is your answer hope this helped
plz make brainly
Step-by-step explanation: