The probability that Aaron will select a retriever given that Rebecka has selected a poodle is 4/11.
To calculate the probability that Aaron selects a retriever given that Rebecka selects a poodle, we will use the concept of conditional probability. The total number of puppies is 12, and the number of poodle puppies is 3.
When Rebecka selects a poodle, one puppy is removed from the total, leaving 11 puppies, including the same 4 retrievers (since she did not pick a retriever).
The probability that Aaron picks a retriever given Rebecka has picked a poodle is:
P(Aaron picks a retriever | Rebecka picks a poodle) = P(Rebecka picks a poodle and Aaron picks a retriever) / P(Rebecka picks a poodle)
Since Rebecka has already picked a poodle, we focus only on the event where Aaron picks a retriever. So the probability becomes:
P(Aaron picks a retriever | Rebecka picks a poodle) = Number of retrievers left / Total number of puppies left
= 4 retrievers / 11 total puppies
= 4/11
Hadmids will start at 11:00A.M., but the players must arrive at the field three-quarters of an hour early to warm up. The game must end by 1:15 P.M. Hadmid say he has to be at the field at 9:45 A.M is hadmid correct? Explain your answer.
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
The values of x and y in parallelogram DEFG are:
x = 35y = 20Given:
DH = HF and GH = HE
We have the following equations according to the given condition.
x + 5 = 2y ...(1)
3x - 1 = 5y + 4 ...(2)
From equation (1), we can express x in terms of y:
x = 2y - 5 ...(3)
Substitute this value of x in equation (2):
3(2y - 5) - 1 = 5y + 4
Simplify and solve for y:
6y - 15 - 1 = 5y + 4
6y - 16 = 5y + 4
y = 20
Now substitute y = 20 in equation (3) to find x:
x = 2(20) - 5
x = 40 - 5
x = 35
Therefore, the values of x and y in parallelogram DEFG are:
x = 35
y = 20
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Two ships leave a harbor at the same time. one ship travels on a bearing upper s 12 degrees upper w at 18 miles per hour. the other ship travels on a bearing upper n 75 degrees upper e at 12 miles per hour. how far apart will the ships be after 2 hours?
What is the probability of getting a number greater than or equal to 2 when rolling a number cube number 1 to 6
the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
When rolling a fair number cube (also known as a fair six-sided die), each face has an equal probability of showing up. Since there are 6 faces numbered 1 to 6, the probability of getting any specific number (including 2) on a single roll is [tex]\( \frac{1}{6} \)[/tex], assuming the die is fair.
To find the probability of getting a number greater than or equal to 2, we can count the favorable outcomes (rolling a number 2, 3, 4, 5, or 6) and divide by the total possible outcomes (which is 6 for a fair six-sided die).
Favorable outcomes: 2, 3, 4, 5, 6 (total of 5 numbers)
Total possible outcomes: 6 numbers
So, the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
L'shanda can choose between 3 sweaters and 4 skirts. if she selects 1 sweater and 1 skirt, how many possible outcomes are in the sample space answer
We have been given that L'shanda can choose between 3 sweaters and 4 skirts.
We need to figure out the number of ways in which L'shanda can pick 1 sweater and 1 skirt out of the available items.
We need to use combinations here. First of all, we will figure out the number of ways of choosing 1 sweater out of 3 available sweaters. And then we will determine the number of ways of choosing 1 skirt out of 4 available skirts.
Number of ways of choosing 1 sweater = [tex]_{1}^{3}\textrm{C}=\frac{3!}{2!1!}=\frac{3\cdot 2!}{2!} = 3[/tex]
Number of ways of choosing 1 skirt = [tex]_{1}^{4}\textrm{C}=\frac{4!}{3!1!}=\frac{4\cdot 3!}{3!} = 4[/tex]
Therefore, total number of ways to select 1 sweater and 1 skirt are [tex]3\cdot 4 = 12[/tex]
write this as an equation in point-slope form Please answer as quickly as possible. 50 pts!!!!!
m=-3, (-2,1)
How can operations of polynomials be used to create new polynomial models? Provide real world examples of when it is necessary to add, subtract, multiply, or compose polynomials to get a new polynomial that model real situations.
Answer with explanation:
When we add, subtract or multiply or in some cases division is done between two or more Polynomials then we can get new polynomials.
This can be explained in following way
[tex]1.\rightarrow (x^3+x^2+3x+4) +(x^4+5x+6)\\\\=x^4+x^3+x^2+8x+10\\\\2.\rightarrow (x^3+x^2+3x+4) -(x^4+5x+6)\\\\=-x^4+x^3+x^2-2x-2\\\\3.\rightarrow (x+2)\times x^2\\\\=x^3+2x^2\\\\4.\rightarrow \frac{x^3+2x^2}{x}\\\\\rightarrow x^2+2x[/tex]
Real world Situation
There is a large enclosed room .We want to place bulbs in ceiling.To do that,we draw few straight lines that is Linear polynomial columnwise and then we have drawn Linear polynomial Row wise.The point of intersection of these lines gives the points where the bulbs should be fixed.Now ,if we join these points where the bulb is placed we will get a new polynomial.
A , O and B lie on a straight line segment
Evaluate x the diagram is not drawn to scale
The value of x from the given diagram is; 36°
Sum of angles on a straight line.The sum of angles on a straight line is 180°.
In this scenario, the sum of angles on the straight line: AOB is 180°.
Therefore, we have
3x + x + x = 180°5x = 180x = 36°
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Jason eats 10 ounces of candy in 5 days. a. How many pounds does he eat per day?
b. How long will it take Jason to eat 1 pound of candy?
Solve the polynomial equation. state the multiplicity of each root. 8x3 - 12x2 + 6x - 1 = 0
-2x+4y=-8 which graph models the equation
Two jets leave Dallas at the same time and fly in opposite directions one is flying west 50 mph faster than the other another two hours the Jets are 2500 miles apart find the speed of the jet
A pizza has a circumference of 16 pie and the slices are cut at 24 degree angles.
a. What is the length of the crust of one slice of pizza?
b. What is the area of one slice?
c. If the radius was doubled what would be the area of one slice of te similar pizza?
I am having a bit of a hard time solving this problem, it would be a pleasure if some one were to help me!
The cost of gasoline is expected to increase by 2.5% next year. If p represents the current cost of gasoline, which experession represents the expected gasoline price next year?
The perimeter of a rectangle is 22 ft and the area is 24 ft what is the length and width
the perimeter of a rectangular parking lot is 190 meters. the width is one fourth the length. write a system of equation for this scenario
Final answer:
To write a system of equations for the scenario, assign variables to the length and width of the rectangular parking lot. Use the information given to create two equations.
Explanation:
To write a system of equations for this scenario, let's start by assigning variables to the length and width of the rectangular parking lot. Let's say the length is represented by 'L' and the width is represented by 'W'. According to the given information, the width is one fourth the length, so we can write the equation:
W = (1/4)L
The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter is given as 190 meters, so we can write the equation:
2L + 2W = 190
Now we have a system of equations:
W = (1/4)L
2L + 2W = 190
These are the equations that represent the given scenario.
Mike is going to a ball game on saturday. he will pay $8.00 admission, plus $1.50 per item he buys at the concession stand. which of the equations represents this information?
The equation that represents this information will be y = 1.5x + 8.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mike is going to a ball game on Saturday.
He will pay $8.00 for admission, plus $1.50 per item he buys at the concession stand.
Let x be the number of items and y be the total cost.
Then we have
y = 1.5x + 8
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Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).
20 POINTS!
Find P(4).
I don't know or understand how to do this.
The calculated value of the probability of 4
How to determine the probability of 4From the question, we have the following parameters that can be used in our computation:
The spinner
Where, we have
Sections = 8
Also, we have
Sections that read 4 = 1
Using the above as a guide, we have the following:
P(4) = 1/8
Hence, the probability of 4 is 1/8
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Use the difference of squares theorem to find the solution of the following equation:
v^2 = 252
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
The equation of the circle is given by (x-h)^2 + (y-k)^2 = r^2 where (h,k) represent the center of the circle and r represents the radius
From the question , we have been given (h,k) = (2,-5) and r =12
(x-2)^2 + (y-(-5))^2 = 12^2
The two minuses in the second term cancel out and give a plus. (-*- = +)
(x-2)^2 + (y+5)^2 = 144
So, the equation of the circle is:
(x-2)^2 + (y+5)^2 = 144 (Option A)
1. Point B lies on line AC. AC = 127, AB is represented by the expression -12x + 11, and BC is represented by the expression -8x - 4. What is the length of AB?
2. Point E lies on line DF. DE is represented by the expression 2x - 8. EF is represented by the expression 2x - 4. If DF = 36 inches, what is the length of DE? What is the length of EF?
A researcher reports that mean ratings of liking for some food are m = 0.8, sd = 2.4. if the null hypothesis was that the mean equals 0, then what is the effect size for this test using estimated cohen's d?
please help but only answer if you're going to show work please!!!!
The perimeter of a rectangle is 108 inches. the rectangle is 34 inches long. how wide is it?
In an orienteering competition, Jada walks 70 degrees north of west for 200 meters. She then walks due east for 90 meters. How far and at what bearing is Jada from her starting point?
Answer:
N55.0679°W
Step-by-step explanation:
Check the attachment for detailed explanation.
What is 5.1 x 10^-1 as an ordinary number?
Answer:
0.51
Step-by-step explanation:
10^1=divide by 10
5.1/10=0.51
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question:
(graph of 2x cubed plus x squared minus 3x plus 1)
What is the average rate of change from x = −1 to x = 1?
−1
1
2
4
We have been given a polynomial [tex]f(x)=2x^{3} +x^{2}-3x+1[/tex] and we are asked to find average rate of change from x = −1 to x = 1.
First of all we will find f(-1) and f(1).
[tex]f(-1)=2\cdot (-1)^{3} +(-1)^{2}-3(-1)+1[/tex]
[tex]f(-1)=2\cdot (-1) +1+3+1[/tex]
[tex]f(-1)=-2 +5=3[/tex]
Let us find f(1),
[tex]f(1)=2\cdot (1)^{3} +(1)^{2}-3(1)+1[/tex]
[tex]f(1)=2\cdot 1 +1-3+1[/tex]
[tex]f(1)=2+1-3+1[/tex]
[tex]f(1)=4-3=1[/tex]
Now let us find slope for our values.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{f(1)-f(-1)}{1-(-1)}[/tex]
[tex]m=\frac{1-3}{1--1}[/tex]
[tex]m=\frac{-2}{1+1}[/tex]
[tex]m=\frac{-2}{2}=-1[/tex]
Therefore, average rate of change from our given x values will be -1.
A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?
(x - 2)2 + (y - 3)2 = 9
(x + 4)2 + (y - 5)2 = 9
(x + 4)2 + (y + 5)2 = 9
(x - 2)2 + (y + 5)2 = 9
The equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
After reflect a point over the line y = -1, we need to use the formula ;
(x,y) → (x, -y - 2).
Hence, We can apply this formula to each point on the circle and simplify to get the equation of the image circle:
(x + 4)² + (y - 3)²= 9
(x + 4)² + (-y - 2 - 3)² = 9
(x + 4)² + (y + 5)² = 9
So, the equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
Therefore, the correct option is,
(C) (x + 4)² + (y + 5)² = 9.
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