Answer:
y = -7x + 9
Step-by-step explanation:
A family is booking a trip to Florida and the travel agent knows that for families with children of similar ages the probability of visiting Busch Gardens is 40% and the probability of visiting Sea World given that they visited Busch Gardens is 60%; also the agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%. To determine the best package for this family, the agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Answer:
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Visited Busch Gardens.
Event B: Visited Sea World.
The probability of visiting Busch Gardens is 40%
This means that [tex]P(A) = 0.4[/tex]
The probability of visiting Sea World given that they visited Busch Gardens is 60%
60% of 40%, which means that:
[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]
The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.
This means that [tex]P(A \cup B) = 0.7[/tex]
Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
This is P(B).
These probabilities are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values
[tex]0.7 = 0.4 + P(B) - 0.24[/tex]
[tex]0.16 + P(B) = 0.7[/tex]
[tex]P(B) = 0.54[/tex]
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
can u please help me
Caleb got $60 for his birthday and put it in his savings account. After he deposited the money, he has $139. How much money was in Caleb's account before the deposited the money?
Part A: Write an equation to represent the problem.
Part B: Solve to find the solution. Show your work and/or explain your reasoning.
Can someone help please please
Answer: A: (6, 5)
Step-by-step explanation:
When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).
To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:
[tex]y = \frac{1}{2}x + 2[/tex]
[tex]5 = \frac{1}{2} * 6 + 2[/tex]
[tex]5 = 3 + 2[/tex]
[tex]5 = 5[/tex]
[tex]y = x - 1[/tex]
[tex]5 = 6 - 1[/tex]
[tex]5 = 5[/tex]
Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.
6+(1/3×1/3)-3×7 how do you get it???
Answer:
-134/9
Step-by-step explanation:
Please answer quick and just write explanation quick pls hurry quick for brainlessly uu
Answer:
35 (C)
Step-by-step explanation:
Answer:
B) 30
Step-by-step explanation:
This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.
I require assistance of this baffling mathematical equation that exceeds my limits
Answer:
C.
Step-by-step explanation:
To multiply two polynomials, multiply every term of one polynomial by every term of the other polynomial. Then collect like terms.
Multiply p^2 by each term of the second polynomial. Then multiply q^2 by each term o the second polynomial.
[tex] (p^2 + q^2)(p^4 - pq - q^4) = [/tex]
[tex] = p^6 - p^3q - p^2q^4 + p^4q^2 - pq^3 - q^6}
There are no like terms to collect, but we can arrange the product in descending order of the power of q.
[tex] = p^6 + p^4q^2 - p^3q - p^2q^4 - pq^3 - q^6 [/tex]
Answer: C.
If you rearrange the side lengths of a triangle, how many different triangles can you make?
Answer:
3
Step-by-step explanation:
ABC
Acb
Bac
Bca
Cab
Cba
This looks like 6 but if you look close, 3 are duplicates
Need help with this one thanks!
Please give me an right answer and explain pleaseeee!!! And set up and equation before solving !
The difference between two numbers is 4. The sum of the smaller number and three times the larger number is 36. What are the two numbers?
Answer:
The two numbers are 6 and 10.
Step-by-step explanation:
First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :
x - y = 4
3x + y = 36
Next, you have to solve the simultaneous equations :
x - y = 4 ---------- (1)
3x + y = 36 ------- (2)
(2) + (1)
3x + y + x - y = 36 + 4
4x = 40
x = 10
Substitute x = 10 into (2)
3(10) + y = 36
30 + y = 36
y = 36 - 30
y = 6
Find the missing information for both parts below.
(a) In the figure below, m VW = 52° and m XY = 42º. Find m ZXZY.
V
m ZXZY =
Z
Answer:
86
Step-by-step explanation:
Answer: 86
Step-by-step explanation:
What is the recursive formula for this sequence:
1,-1,-3, -5......
Answer:
d) A[n] = A[n=1] - 2 (Your selected answer is correct)
Step-by-step explanation:
Think of the formula as:
new number = previous number minus 2
Branliest to correct answer please explain how you got your answer :)
Answer:
2.12%
Step-by-step explanation: So in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52, but this 3 decks, so you pretty much just add
Answer:
1.56%
Step-by-step explanation:
there 52 cards in a deck and 13 of those are hearts. 13/52*13/52*13/52 That equals 2,197/140,608. Then divide both by 2,197 and you get 1/64. Turn it into a percent and it's 1.56%
13/52 is also 25% so you could do 25% * 25% * 25% and you get .015625 and move the decimal two places to turn it into a percent 01.5625%
The third and fourth grade teachers are planning a trip for their classes to the zoo. There are 173 third graders and 124 fourth graders. Each seat on the buses fits 3 students. Which expression represents the closest estimate of the number of seats on the buses that are needed for the students?
Answer:
173 - 124 = then do thatb divided by each seat 2
Step-by-step explanation:
Write six hundred fifty six as a base ten number
Answer:
isn't 656 already a base-ten number?
Step-by-step explanation:
i'm confused (。_。)
Help I forgot how to do this and need help!
Answer:
The answers would be =
A = (226.6 + 205.6 + 157.6) / 3 = 589.8 / 3 = (196.6)
B = (119.6 + 61.6 )/2 = 181.2/2 = 90.6
-3m -4>8
How do I solve this equation?
Answer:
m < -4
Step-by-step explanation:
-3m - 4 > 8
add four to each side
-3m > 12
divide each side by -3 (since you are dividing by a negative the sign changes from > to <)
m < -4
Answer:
m<-4
Step-by-step explanation:
1. -3m-4>8
2. -3m>12 (add four to both sides)
3. m<-4 (divide by -3 on both sides, since you are dividing by a negative number your sign flips)
Three apples have a mean (average) mass of 100 grams.
The largest apple is removed.
The mean mass of the remaining two apples is 70 grams.
ТО The
Answer:I'm guessing the average mass of the two apples each is 35 grams
hope this helps I didn't really understand the quetsion
if u are asking mass of the larger apple it is 160
are u?
please help with number 10 please
Dunno what that symbol is lel
Parallelogram ABCD is shown on the coordinate grid. Which
coordinates belong to a point that appears to lie on segment AB?
Answer:
[tex](-1, 3)[/tex]
Step-by-step explanation:
Given
See attachment for ABCD
Options:
[tex](-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)[/tex]
From the attachment:
[tex]A = (-6,1)[/tex]
[tex]B = (4,5)[/tex]
Required
Coordinates on AB
First, calculate the slope of AB
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-1}{4--6}[/tex]
[tex]m = \frac{4}{10}[/tex]
[tex]m = 0.4[/tex]
Next,, calculate the equation as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0.4(x - -6) + 1[/tex]
[tex]y = 0.4(x +6) + 1[/tex]
[tex]y = 0.4x +2.4 + 1[/tex]
[tex]y = 0.4x +3.4[/tex]
Taking the options one at a time: (-1, 3)
[tex]x = -1\ \ y =3[/tex]
Test these values in the equation
[tex]y = 0.4 * -1 + 3.4[/tex]
[tex]y = -0.4 + 3.4[/tex]
[tex]y =3[/tex]
Hence, this point lie on AB
The Graph below shows a system of equations.
the x coordinate of the solution to the system of equations is ?
Answer:
3
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the graphs of the equations.
The solution is point (3, 2).
An ordered pair is of the form (x, y). The x-coordinate of point (3, 2) is 3.
Answer: 3
What is the solution to the equation x/3 +5=8
Answer:
x=9
Step-by-step explanation:
x/3+5=8
x/3=8-5
x/3=3
(x/3)*3=3*3
x=9
double check
9/3+5=8
3+5=8
8=8
Answer:
x=9
Step-by-step explanation:
[tex]\frac{x}{3}+5=8\\[/tex]
[tex]\frac{x}{3}=3[/tex] subtract 3 from each side
[tex]x=9[/tex] multiply each side by 3
thats it!! :D
Which two values of x are roots of the polynomial below?
x2 + 3x + 5
Answer:
its -1 for sure
i dont kbow the other one
A fair charges $8 to enter and $0.50 per ticket. Write an algebraic expression to represent
the total amount spent.
What is the value of the expression (2)6?
Answer:
12 or 2^2 × 3
Step-by-step explanation:
(2)6
Multiply 2 and 6 to get 12.
12
Rewrite the number in standard form.6.15 x 102
a. 61,500
b. 615
c. 600
d. 0.0615
Answer:B
Step-by-step explanation:
Given 2x⁵-6x³-4x²-2x+4 =0 solve for x
Answer:
Step-by-step explanation:
Write the numerical expression for add 19 and 2, then divide by 7.
Answer:
Step-by-step explanation:
(19+2)/7
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
(9³×m)3
Step-by-step explanation:
Hope it helps you
Two cabs leave the cab station. Cab A completes its route in 36 minutes and Cab B completes its route in 45 minutes. If both cabs return to the station after their routes, how many minutes will pass before the two cabs meet at the station?
Answer:
81 min I think
Step-by-step explanation: