Final answer:
The probability of drawing a red or blue marble from a bag containing 25 marbles (10 black, 13 red, 2 blue) is 3/5. This is calculated by dividing the total number of red and blue marbles (15) by the total number of marbles (25).
Explanation:
The question involves calculating the probability of drawing a red or a blue marble from a bag containing 25 marbles: 10 black, 13 red, and 2 blue. To find the probability of an event happening, we divide the number of ways that event can happen by the total number of outcomes. Here, the total number of marbles is 25.
The total ways to get a red or a blue marble is the sum of red and blue marbles, which is 13 (red) + 2 (blue) = 15. Therefore, the probability of drawing a red or blue marble is 15/25. Simplifying that fraction gives us 3/5.
The correct answer is 3/5. This calculation shows how to approach problems involving the probability of one event or another happening, especially when dealing with specific quantities.
How to find the distance between two points using pythagorean theorem?
5. Reflection: Marissa wants to describe the relationship between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image. What should she say about the relationship between the scale factor and perimeter of an image and its pre-image? What should she say about the relationship between the scale factor and area of an image and its pre-image? Support her statements using scale factors of 5 and 6.
Sam studied guinea pigs for his science fair project. He found that the amount of weight the guinea pigs gained varied directly with the number of calories they consumed. The guinea pigs gained 1 ounce for every additional 218 calories in their diet. How many additional ounces would they gain if their diet was increased by 1,090 calories? Let W represent the weight in ounces, and let C represent the number of calories.
From the given above, we can formulate the equation:
W = C / 218
By substituting the given values:
W = 1090 calories / (218 calories / 1 ounce)
W = 5 ounce
Therefore the guinea pigs will gain additional 5 ounce if the diet was increased by 1090 calories.
list the sides of triangle WXY in order from smallest to largest
The sides of triangle WXY can be listed from smallest to largest as YW, WX, XY, by matching the side lengths to a set of Pythagorean triplets (5, 12, and 13 cm). This corresponds to option A of the provided choices.
To list the sides of triangle WXY in order from smallest to largest, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
According to the given information, we have two right triangles with sides 5 cm, 12 cm, and 13 cm.
Recognizing these are Pythagorean triplets, where 5 and 12 are the legs and 13 is the hypotenuse, it indicates that the side measures 13 cm is the longest side, followed by the 12 cm side, and then the 5 cm side is the shortest.
Therefore, if we match these lengths to the sides of triangle WXY, we can list the sides from smallest to largest based on their corresponding lengths, with the assumption XY matches the 13 cm side (as it is not specified and must be inferred).
The correct listing of triangle sides from smallest to largest would be: YW, WX, XY. This correlates to option A in your list.
The probable question may be:
list the sides of triangle WXY in order from smallest to largest
A. YW, WX, XY
B. XY, YW,WX
C. WX,XY,YW
D. XY, WX,YW
A company is about to launch a new cell phone model. In the past, 40% of its cell phones have launched successfully. Before any cell phone is launched, the company conducts market research and receives a report predicting favorable or unfavorable sales. In the past, 70% of successful cell phones and 20% of unsuccessful cell phones received favorable reports. What is the probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful?
Answer:
The required probability is 0.70.
Step-by-step explanation:
Let A represents the event of launching successfully, B represents the event of receiving favourable reports,
Given,
Probability of successful launching,
[tex]P(A)=40\%=\frac{40}{100}=0.40[/tex]
Also, 70% of successful cell phones are received favorable reports.
[tex]\implies P(A\cap B)=70\%\text{ of P(A)}=\frac{70\times 0.40}{100}=0.28[/tex]
Thus, by the conditional property,
The probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful,
[tex]P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)}=\frac{0.28}{0.40}=0.70[/tex]
A certain forest covers an area of 2500 km2. Suppose that each year this area decreases by 5.25%. What will the area be after 15 years?
Use the calculator provided and round your answer to the nearest square kilometer.
If you buy something at a 20% discount off the listed price of $ 97, but pay a sales tax of 10% after the discount is applied, how much do you end up paying? $
If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again ________.
In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.
Explanation:If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.
In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.
Learn more about Operant Conditioning here:https://brainly.com/question/13044823
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In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.
Explanation:If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.
In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.
Learn more about Operant Conditioning here:https://brainly.com/question/13044823
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What is the value of x in the isosceles trapezoid below
Answer:
X=10
Step-by-step explanation:
In order to solve this problem you just have to remember that in rectangles and trapezoids opposite angles are suplemmentary, in this case you can equal those to 180º, your equation would be:
[tex]14x+3x+10=180\\17x+10=180\\17x=180-10\\[/tex]
[tex]17x=170[/tex]
[tex]x=\frac{170}{17}[/tex]
[tex]x=10[/tex]
So the answer is X equals to 10.
At a local community college, it costs $450 to enroll in a morning section of an algebra course. Suppose that the variable n stands for the number of students who enroll. Then 450n stands for the total amount of money collected for this course. How much is collected if 38 students enroll? 90 students? 280 students?
If 20 is 20% of 20% of an integer what is that integer
A horse owner has 50 lbs of hay that is 6% protein by weight. He adds x lbs of oats that is 12% protein by weight.
The function y=.06(50)+.12x/50+x
models the percent of protein, y, in the final mixture of feed. What is the y-intercept of the function that models the percent of protein in the final mixture?
y-intercept=
Answer:
y-intercept = 0.06 = 6%
Step-by-step explanation:
As per the statement:
A horse owner has 50 lbs of hay that is 6% protein by weight. He adds x lbs of oats that is 12% protein by weight.
Given the function:
[tex]y = \frac{0.06(50)+0.12x}{50+x}[/tex]
where, y represents the percent of protein in the final mixture of feed.
We have to find y-intercept of the function that models the percent of protein in the final mixture.
Y-intercept:
Substitute x = 0 and solve for y:
then;
[tex]y = \frac{0.06(50)+0.12(0)}{50+0}=\frac{0.60 \cdot 50}{50}[/tex]
⇒[tex]y = 0.06 =6\%[/tex]
Therefore, the y-intercept of the function that models the percent of protein in the final mixture is, 6%
Answer:
.06
Step-by-step explanation:
The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $78 for 1 adult ticket and 2 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket: 78 = one-half x + (x − 6)
The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x.
Which equation represents the graph?
y = 10 – x
y = x – 10
y = –x – 10
y = 10 + x
Answer: The correct option is (A) [tex]y=10-x.[/tex]
Step-by-step explanation: The given graph represents the amount of change Jaxon would receive 'y' if he bought a item with a cost of 'x'.
We are to select the correct equation that represents the graph.
We notice from the graph that it is a straight line and the points (0,10) and (10, 0) lies on the line.
The slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
So, the slope of the given line is
[tex]m=\dfrac{0-10}{10-0}\\\\\\\Rightarrow m=-1.[/tex]
Since the line passes through the point (10, 0), therefore the equation of the line representing the graph is
[tex]y-10=m(x-0)\\\\\Rightarrow y-10=-1(x-0)\\\\\Rightarrow y-10=-x\\\\\Rightarrow y=10-x.[/tex]
Thus, the required equation is [tex]y=10-x.[/tex]
Option (A) is CORRECT.
The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the blueprint is a rectangle 18 inches by22 inches, what are the dimensions of the yard? If u find the answer please explain how you got it that would be very helpful
A)7/25
B)24/25
C)25/7
D)25/24
PLEASE HELP ME !!
A car uses an average of 8 litres of fuel for every 100 km travelled. At this rate, how many litres would the car use to travel 250 km?
The car would use 20 litres to travel 250 km.
Explanation:To determine the number of litres the car would use to travel 250 km, we can set up a proportion using the average fuel consumption rate of 8 litres per 100 km:
8 litres / 100 km = x litres / 250 km
To solve for x, we can cross-multiply and then divide:
x litres = (8 litres * 250 km) / 100 km
x litres = 20 litres
Therefore, the car would use 20 litres to travel 250 km.
Final answer:
The car would use 20 liters of fuel to travel 250 km.
Explanation:
To determine how many liters of fuel the car would use to travel 250 km, we can set up a proportion using the given information:
8 liters ÷ 100 km = x liters ÷ 250 km
Cross multiplying, we get:
x = (8 liters × 250 km) ÷ 100 km
x = 2000 liters ÷ 100 km
x = 20 liters
Therefore, the car would use 20 liters of fuel to travel 250 km.
A circle has what type of symmetry?
Answer:
Point of symmetry
Step-by-step explanation:
The circle is moves at the same distance from the center of the circle. Therefore, the circle is symmetrical around a single point.
Hope this will helpful.
Thank you.
In triangle $abc$, the measure of $\angle a$ is $86$ degrees. the measure of $\angle b$ is $22$ degrees more than three times the measure of $\angle c$. what is the measure, in degrees, of $\angle c$?
Solve for x. 12x = 2x^2 + 18
A. x = –3
B. x = 3
C. x = –3 or x = 0
D. x = 0 or x = 3
PLEASE HELP IM IN A HURRY
Given that x = 7, write an equation that contains two different equivalent expressions each including at least one variable (x) and the operations: addition, subtraction, multiplication, and division.
Well here are two equivalent different expressions of my making that you could use for this question.
f(x) = 2x - 7
g(x) = 3x - 28 / 2
When x = 7, these two different expressions will equate to the same value of 7. If you meant something else let me know, otherwise this is what you should put for your essay-question.
Write the product as a trinomial.(k – 1)(k – 4)
Find the 3rd term of (a-3b)^6
what percentage is $7,360 of $78,000
divide 7360 by 78000
7360/78000 = 0.943589
= 9.44%
The tides around Cherokee Bay range between a low of one foot to a high of 5 feet. The tide is at its lowest point when time, t, is 0 and completes a full cycle over a 24 hour period. What is the amplitude, period, and midline of a function that would model this periodic phenomenon
A. Amplitude = 4 feet; period = 24 hours; midline: y = 3
B. Amplitude = 2 feet; period = 12 hours; midline: y = 2
C. Amplitude = 2 feet; period = 24 hours; midline: y = 3
D. Amplitude = 4 feet; period = 24 hours; midline: y = 2
Answer:
its C
Step-by-step explanation:
The total cost to rent a row boat is $16 times the number of hours the boat is used. write an equation to model this situation if c = total cost and h = number of hours.answers
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 - 3 sin θ
Answer:
Symmetry about y-axis
Step-by-step explanation:
We are given that
[tex]r=4-3sin\theta[/tex]
When the graph is symmetric about x- axis then the point (x,y) change in to (x,-y) and the function remain same.
The point[tex] (r,\theta,)[/tex] is replaced by [tex]( r,-\theta)[/tex]
Substitute the value then we get
[tex]r=4-3 sin(-\theta) [/tex]
[tex]r=4+3sin\theta[/tex] ([tex]sin(-\theta)=-sin\theta)[/tex]
The value of function changes .Hence , the function is not symmetric about x- axis.
When the function is symmetric about y-axis then the point [tex](r,\theta) [/tex] change into point [tex](r,\pi-\theta)[/tex] and function remain same
Substitute the value
[tex]r=4-3sin(\pi-\theta)[/tex]
[tex]r=4-3 sin\theta[/tex] ([tex]sin(\pi-\theta)=sin\theta[/tex])
The value of function does not change when point change ,Hence, the function is symmetric about y- axis.
When the graph is symmetric about origin then the point [tex](\theta,r)[/tex] change into point[tex](r,\pi+\theta)[/tex] and the value of function remain same.
Substitute the value then we get
[tex]r=4-3sin(\pi+\theta)[/tex]
[tex]r=4+3sin\theta [/tex]
[tex]r=4+3sin\theta [/tex]
Hence, the graph has symmetry about y-axis .
A flat-screen television has a rectangular screen that is 29 inches high and 32 inches wide. What is the surface area of the screen?
A. 120 sq. in.
B. 60 sq. in.
C. 784 sq. in.
D. 928 sq. in.
multiply height by width
29 x 32 = 928 sq in
Question 12 the length of a rectangle is three times its width. if the perimeter of the rectangle is 40 m , find its area.
Answer:
The area of the rectangle is 75 squared meters.
Step-by-step explanation:
Width of the rectangle = w
Length of the rectangle = l = 3w
Perimeter of the rectangle = P = 40 m
Perimeter of the rectangle = 2(l+w)
[tex]2(l+w)=40 m[/tex]
[tex]2(3w+w)=40 m[/tex]
[tex]8w=40 m[/tex]
[tex]w=\frac{40 m}{8}=5 m[/tex]
[tex]l=3w=3\times 5 m=15 m[/tex]
The area of the rectangle ,A= l × w
[tex]A = 5 m\times 15 m = 75 m^2[/tex]
The area of the rectangle is 75 squared meters.