A certain spinner has equally sized slices. The adds in favor of landing on a green slice are 7:2. What is the probability of landing on A green slice
Answers
Given: The odds in favor of landing on a green slice are 7:2
To Determine: The probability of landing on A green slice
Find the total number of landing slices
Since the ratio given is 7:2. The total number of landing slices would be a multiple of the total ratio. The total ratio is
\(\text{Total ratio=7+2=9}\)Therefore, the total number of equal slices is a multiple of 9
Find the ration of the odds on green slice
The ration of the odds on green slice given that the ratio of the odds in favour of landing on a green slide is 7:2 would be multiples of 7
Find the probability of landing on A green slice
The probability of an event A from a sample space S is
\(\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ P(A)=\text{Probability of event A} \\ n(A)=\text{ number of element in event A} \\ n(S)=\text{ number of elements in the sample space} \end{gathered}\)The probability of landing on a green slice would be
\(\begin{gathered} P(G)=\frac{n(G)}{n(T_r)} \\ P(G)=\text{Probability of landing on a gre}en\text{ slice} \\ n(G)=\text{ number of multiples of the ration for a gr}een\text{ slice landing} \\ n(T_r)=\text{ number of multiples of the total ratio of the landings} \\ \text{Therefore:} \\ n(G)=7 \\ n(T_r)=9 \\ P(G)=\frac{7}{9} \end{gathered}\)Hence, the probability of landing on a green slice is 7/9
Related Questions
Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options.
The domain of the function is the set of all values x such that x is greater than or equal to one-quarter.
The range of the function is all real numbers.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.
The function is increasing over the interval (negative 6 and one-eighth
Answers
The statements true about the the function f(x) = 2x2 – x – 6 are-
The vertex of the function is (one-quarter, negative 6 and one-eighth).The function has two x-intercepts.What is vertex of parabola?The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
The vertex of the function is (one-quarter, negative 6 and one-eighth).The function has two x-intercepts.More about vertex :
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Answer:A
Step-by-step explanation:A
what is 48 *3/8 explain
Answers
Answer:
18
Step-by-step explanation:
=(
48
1
)(
3
8
)
=
(48)(3)
(1)(8)
=
144
8
=18
p(5)=
p(1 or 2)=
p(odd number)=
p(not 6)=
p(even number)=
p(1,2,3,or 4)=
Answers
The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:
P(5): Since there is only one face with a value of 5 on the die, the probability of rolling a 5 is 1/6.P(1 or 2): There are two faces with the values 1 and 2 respectively. Since these are mutually exclusive events (you can only roll one of them at a time), the probability of rolling a 1 or a 2 is 2/6, which simplifies to 1/3.P(odd number): Out of the six faces, three are odd numbers (1, 3, and 5). So, the probability of rolling an odd number is 3/6, which simplifies to 1/2.P(not 6): Since there is only one face with a value of 6, the probability of not rolling a 6 is 5/6.P(even number): Out of the six faces, three are even numbers (2, 4, and 6). So, the probability of rolling an even number is 3/6, which simplifies to 1/2.P(1, 2, 3, or 4): There are four faces with the values 1, 2, 3, and 4. Therefore, the probability of rolling any of these numbers is 4/6, which simplifies to 2/3.For such more questions on probability
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Help asap!!! (DIFFERENT THAN ALL THE OTHERS!!!) brainliest if correct
Each soccer player has one yellow, one blue, and one white jersey. For the last game of the season, each player could choose which jersey they wanted to wear. The table below shows the percentage of players that wore each color jersey.
Jersey Color Percentage of Players
Yellow 0.45
Blue 0.25
White 0.30
Compare the probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood. Choose the statement that is true.
The player will be more likely to wear a blue jersey than a yellow jersey because P(Blue) > P(Yellow).
The player will be more likely to wear a white jersey than a yellow jersey because P(White) > P(Yellow).
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
The player will be equally likely to wear a yellow jersey or a white jersey because P(Yellow) = P(White).
Answers
Answer:
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
absolute value evaluate problem
|-4| =?
SHOW WORK:
Answers
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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Please help!
If a student (represented by initials) was chosen at random, find P(HH|C).
P(HH|C)=2/5
P(HH|C)= 13/16
P(HH|C)=9/16
P(HH|C)=3/5
Answers
Answer:
a.) P(HH|C)=2/5
Explanation:
Given following:
P(HH) = 7P(C) = 10P(HH ∩ C) = 4P(HH ∪ C) = 13Solving steps:
\(\sf P(HH|C) = \dfrac{P(HH \cap C) }{P(C)}\)
\(\sf P(HH|C) = \dfrac{4 }{10}\)
\(\sf P(HH|C) = \dfrac{2 }{5}\)
please help due in an hour
Answers
Answer:
x=30°
Step-by-step explanation:
3x-10=2x+20
3x-2x=20+10
x = 30°
just x, no y in the photo
Estimate the radius of the object
Answers
Answer:
r = 1.41 mm
Step-by-step explanation:
Given that,
The circumference of the flower, C = 8.9 mm
We need to find its radius. We know that,
Circumference, \(C=2\pi r\)
Where
r is the radius of the object
\(r=\dfrac{C}{2\pi}\\\\r=\dfrac{8.9}{2\pi}\\\\r=1.41\ mm\)
So, the radius of the object is equal to 1.41 mm.
1 point
Jayden is making a chain from construction paper from red and green paper links. The
pattern of the links is red, red, green, green, green. If there are 30 links all together, how
many are red and green?
Answers
Dave asked 86% of the girls in the school of dance. If he asked 128 girls how many girls are there in the entire school?
Answers
Answer:
149 girls
Step-by-step explanation:
Rearrange the Percentage Equation:
\(T*p=F\)
\(F/p=T\)
Where \(T\) is equal to the original amount, \(p\) is the percentage as a decimal, and \(F\) is the final amount.
Percent to Decimal:
\(86*0.01=0.86\)
Applied Equation:
\(128/0.86=148.8\)
Since there can't be a 0.8 of a girl, round up to get 149.
Answer:
149 girls
Step-by-step explanation:
If A =12 and 120% of A equal to 80% of B, then what is A+B
Answers
So,
120% is the same as 1.2 or 6/5. 80% is the same as 0.8 or 4/5.
We are given the value of a, which is 12.
6/5 of a, or 1.2 times a, is equal to 4/5 of b, or 4/5 times b.
\(\dfrac{6}{5} (12)=\dfrac{4}{5} b\)
Simplify.
\(\dfrac{72}{5} =\dfrac{4}{5} b\)
Multiply both sides by 5/4.
\(\dfrac{72}{4} \ \text{or} \ 18=b\)
Therefore, the sum of a and b is 12 + 18 = 30.
A+B equals 30.
Step by step explanation:
We can start by finding the value of B using the given information:
120% of A = 1.2 * A = 1.2 * 12 = 14.4
80% of B = 0.8 * B
Since we know that 120% of A is equal to 80% of B, we can set up the equation:
1.2 * A = 0.8 * B
Substituting the value of A, we get:
1.2 * 12 = 0.8 * B
Simplifying this equation, we get:
B = (1.2 * 12) / 0.8 = 18
Now we can find the sum of A and B:
A + B = 12 + 18 = 30
Therefore, A+B equals 30.
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answers
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
The stem-and-leaf plot below shows the height of 15 sunflowers grown in the
school garden. The heights are given in inches.
Answers
Answer:
30 is not included
Step-by-step explanation:
The way this stem works is that it separates the numbers for better sorting.
Example:
Set that records 11, 12, 24, 28, 32, 32
The stem and leafs would look like
1 1 2
2 4 8
3 2 2
The sampled bold number indicates that 2 and 8 make up 28.
If you look at the plot, there was no 3 and 0 that would make 30. So that does not exist.
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. (1 point)
Function 1
(look at the graph below)
Function 2
f(x) = −x2 + 2x − 15
Function 1 has the larger maximum at (4, 1).
Function 1 has the larger maximum at (1, 4).
Function 2 has the larger maximum at (−14, 1).
Function 2 has the larger maximum at (1, −14).
Answers
A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).
How to determine the function that has a larger maximum?In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;
f(x) = −x² + 2x - 15
f(x) = −2x + 2
0 = −2x + 2
2x = 2
x = 2/2
x = 1
For the maximum value of function 2, we have:
f(1) = −(1)² + 2(1) - 15
f(1) = -14
For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.
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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Hiii this due today can you draw a digram for 5 times 20 please THIS IS DUE TODAY THANK You
Answers
Answer:
draw the diagram and multiply 5x20
The speed limit is 50miles per hour. Kyle driving to a baseball game that starts in 2 hours. Kyle is 130 miles away from the baseball field. If Kyle drives at the speed limit, will he arrive in time
Answers
Answer:
To determine whether Kyle will arrive in time for the baseball game, we need to calculate how long it will take him to travel the 130 miles to the baseball field.
Using the formula:
distance = rate × time
We can rearrange the formula to solve for time:
time = distance / rate
Plugging in the given values, we get:
time = 130 miles / 50 miles per hour
time = 2.6 hours
This means that it will take Kyle 2.6 hours to travel the 130 miles to the baseball field at the speed limit of 50 miles per hour.
Since Kyle has 2 hours to get to the baseball game, he will not arrive in time if he drives at the speed limit. He would need to drive faster than the speed limit to make it to the game on time. However, it's important to note that speeding is illegal and dangerous, so Kyle should not exceed the speed limit. He may need to consider leaving earlier or finding alternative transportation to ensure that he arrives at the baseball game on time.
Step-by-step explanation:
Which function equation is represented by the graph?
f(x)=40(2.5)x
f(x)=40(1.5)x
f(x)=40(3.25)x
f(x)=40(2.25)x
Answers
Answer:
f(x)=40(2.25)^x
Step-by-step explanation:
You want the equation of the exponential function that goes through points (0, 40) and (1, 90).
Exponential functionThe exponential function can be written ...
f(x) = a·b^x
ParametersWhen x = 0, this is ...
f(0) = a·b^0 = a·1 = a
Using the given point, we have a = 40.
When x = 1, this is ...
f(1) = 40·b^1 = 40b
Using the given point, we have ...
90 = 40b
b = 90/40 = 2.25
The function equation is ...
f(x) = 40(2.25^x)
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A grocery store sells a bag of 5 lemons for $3.00. What is the unit cost of each lemon in the bag?
Answers
Answer:
the unit cost of each lemon is $0.60
Step-by-step explanation:
divide 3.00 by 5 to get 0.6
In Rebecca's neighborhood, 80% of the houses have garages and 46% have a garage and a pool. What is the probability that a house in her neighborhood has a pool, given that it has a garage? A. 58% B. 79% C. 34% D. 17%
Answers
The probability that a house in her neighborhood has a pool, given that it has a garage is; A. 58%
How to work with Venn diagrams?By Venn diagram, all houses that have garage have a pool. Thus, since given that households that have garage is 80% and households that garage and a pool is 46%.
Then probability that a house in her neighborhood has a pool is;
P = 46%/80%
P = 57.5% = 58%
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makayla is taking a math course and is working with the perimeter of rectangles. she knows the perimeter and length of her rectangle but wants to solve for the width. rearrange the following equation for w, where p is the perimeter, l is the length, and w is the width of the rectangle.
Answers
The equation for w(width of rectangle) is: W = (P - 2L)/2
The correct answer is an option (c)
We know that the formula for the perimeter of the rectangle is:
P = 2L + 2W
where P is the perimeter of the rectangle,
L is the length of the rectangle,
and W is the width of the rectangle.
We need to rearrange this equation for w.
Consider equation,
P = 2L + 2W
P - 2L = 2L + 2W - 2L ......(subtract 2L from each side of equation)
P - 2L = 2W
(P - 2L)/2 = 2W/2 .....(divide each side by 2)
W = (P - 2L)/2
Therefore, the correct answer is W equals the quantity P minus 2 times L all over 2
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The complete question is:
Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.
a) W = 2P − 2L
b) W = P/ 2-2 times L
c) W equals the quantity P minus 2 times L all over 2
d) W = 2P + 2L
Answer:
c) W equals the quantity P minus 2 times L all over 2
Step-by-step explanation:i just took the test
Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answers
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
Find the area of a rectangle that measures 3 feet by 4 inches. Give the area in square inches.
Answers
Answer:
144 sq inches
Step-by-step explanation:
3ft= 36 inches
36 * 4= 144
A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the rectangle becomes 35.28 cm2. Calculate the length of the longer of the two sides of the initial rectangle.
Answers
Answer: \(5.7\ cm\)
Step-by-step explanation:
Given
Rectangle has an area of \(19.38\ cm^2\)
Suppose rectangle length and width are \(l\) and \(w\)
If each side is increased by \(1.50\ cm\)
Area becomes \(A_2=35.28\ cm^2\)
We can write
\(\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)\)
Substitute the value of width from (ii) in equation (i)
\(\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7\)
Width corresponding to these lengths
\(w=5.7,\ 3.4\)
Therfore, we can write the length of the longer side is \(5.7\ cm\)
What are the like terms on the left side of the equation?
Answers
Step-by-step explanation:
Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.
Answer:
opposite terms
complex
Help..On the graph, what point represents the unit price?
A (1,0)
B (1,2)
C (36)
D (6, 12)
Please only comment if u have answer
Answers
Answer:
It is B
Step-by-step explanation:
No explanation
Answer:
B (1,2)
Step-by-step explanation:
unit price= the amount of money for one item
(in this case "one item" means one oz)
therefore,
just go to the graph, and find the one oz mark. then, look at the price that matches that. for this problem, 1 oz is 2 dollars.
the number of pumps in use at both a six-pump station and a four-pump station will be determined. give the possible values for each of the following random variables. (enter your answers in set notation.) (a) t
Answers
For each variable, the possible values are:
a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
c) U = {0, 1, 2, 3, 4, 5, 6}
d) Z = {0, 1, 2}
Item a:
In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:
T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Item b:
In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:
X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
Item c:
The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.
U = {0, 1, 2, 3, 4, 5, 6}
Item d:
Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.
Z = {0, 1, 2}
The question is incomplete. The complete question is:
"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)
a. T = the total number of pumps in use
b. X = the difference between the numbers in use at stations 1 and 2.
c. U = the maximum number of pumps in use at either station
d. Z = the number of stations having exactly two pumps in use"
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What is two ninths divided by one halve?
Answers
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
Step 1: Set up the expression.
\(\frac{2}{9}/\frac{1}{2}\)Step 2: Multiply 2/9 by the reciprocal of 1/2.
\(\frac{2}{9} * \frac{2}{1}\) \(\frac{4}{9}\)Therefore, two ninths divided by one half equals 4/9.
Two websites sell the same type of headphones.
Website A
Website B
Cost of headphones
£49.95
£47.68
Cost of postage
£4.39
£6.95
Including the cost of postage which website is cheaper and by how much
Answers
Helen draws a random circle, she then measures the circumference and diameter.
She gets a circumference C of 405mm correct to 2 significant figures
She gets a diameter D of 130mm correct to 2 significant figures
Helen wants to find the value of \(\pi\) using the formula \(\pi\) = C÷D
Calculate the lower and upper bound for Helens value of \(\pi\)
Give your answer correct to 3 decimal places
Answers
The value of π can be written with upper and lower limits as -
3.12 ± 0.062.
What are significant figures?Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.
We can write -
Circumference {C} = (405 ± 2) mm
Diameter {D} = (130 ± 2) mm
The value of π can be calculated as -
π = {C}/{D}
π = (405 ± 2)/(130 ± 2)
Now, divide the numbers without errors first -
405/130
3.12
Now, we will calculate the relative errors in each number -
2/405 = 0.004
2/130 = 0.016
Adding the relative errors -
0.004 + 0.016
0.02
Absolute error = 0.02 x 3.12 = 0.062
The value of π can be written with upper and lower limits as -
3.12 ± 0.062
Therefore, the value of π can be written with upper and lower limits as -
3.12 ± 0.062.
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