A bag with 9 marbles is shown below. (2 marbles are blue, 3 are red, and 4 are yellow.) A marble is chosen from the bag at random. What are the oddsof choosing a blue marble?
Answers
Explanation
Step 1
find the probability:
Probabllity is the chance that a particular event will occur expressed on a linear scale from 0 to 1
The formula to calculate the probability of an event is as follows
\(P=\frac{favorable\text{ outcomes}}{\text{total outcomes}}\)a) Let
\(\begin{gathered} \text{favorable outcome= a blue marble = 2 ( there are 2 blue marbles)} \\ \text{total outcomes = 9 ( there are 9 marbles)} \end{gathered}\)now, replace
\(\begin{gathered} P=\frac{favorable\text{ outcomes}}{\text{total outcomes}} \\ P=\frac{2}{9} \end{gathered}\)Step 2
find the odds
The odds are defined as the probability that the event will occur divided by the probability that the event will not occur.
\(\text{odsds}=\frac{P}{1-P}=\frac{\frac{2}{9}}{1-\frac{2}{9}}=\frac{\frac{2}{9}}{\frac{7}{9}}=\frac{2\cdot9}{7\cdot9}=\frac{2}{7}\)odds: 2:7
I hope this helps you
Related Questions
Mr.Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr.Sanchez’s purchase?
Answers
Answer:
36.94
Step-by-step explanation:
Multiply 34.85 (the total cost of the book and mags) by 0.06 (cost of sales tax) = 2.91
34.94 + 2.91 = 36.94
Write an equation that passes through the point (6, -2) with a slope of -4. Write your answer in slope-intercept form.
Answers
Given:
a.) An equation that passes through the point (6, -2).
b.) A slope of -4.
Recall, the slope-intercept form:
\(\text{ y = mx + b}\)Where,
m = slope
b = y - intercept
x, y = coordinates of the point that pass through the graph
a.) Let's first determine the y-intercept (b). Substitute x, y = 6, -2 and m = -4 in y = mx + b.
\(\text{ y = mx + b}\)\(\begin{gathered} \text{ (-2) = (-4)(6) + b} \\ \text{ -2 = -24 + b} \\ \text{ -2 + 24 = b} \\ \text{ 22 = b }\rightarrow\text{ b = 22} \end{gathered}\)Therefore, b = 22
b.) Let's now complete the equation. Substitute m = -4 and b = 22 in y = mx + b.
\(\text{ y = mx + b}\)\(\begin{gathered} \text{ y = (-4)x + (22)} \\ \text{ y = -4x + 22} \end{gathered}\)Therefore, the equation of the line is y = -4x + 22
Determine the value of h in the equation 1/5+h=7/5. 6/5 8/25 6/25 8/5
Answers
The value of {h} is equivalent to 6/5.
What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is the function as follows -
(1/5) + h = (7/5)
We can write the function as -
(1/5) + h = (7/5)
h = 7/5 - 1/5
h = (7 - 1)/5
h = 6/5
Therefore, the value of {h} is equivalent to 6/5.
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Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
Answers
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
what the answer for this area?
Answers
Answer:
the answer is 105
Step-by-step explanation:
because 5×3=15 so 15×7 =105
Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3| + 4? Check three
options.
Of(x) = -2 (x-8)²
h(x) = -5 |x|+ 10
j(x) = -4(x + 2)² +8
Ox(x) = (x-4)²+4
m(x)=x-81 +6
Answers
Answer:
A
Step-by-step explanatio
If i were to give my judge on this <9M+13=5^9
What’s the correct answer for this?
Answers
Answer:
(AE )(EB)=(CE)(ED)
Step-by-step explanation:
The lines (AE )(EB)=(CE)(ED)
Line AE is congruent with line CE and Line EB is congruent with ED
A line is congruent when they assume the same shape and form but only they can be flipped;
AB and CD are both line segments.
Answer:
fourth option
Step-by-step explanation:
Given two intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
AE(EB) = CE(ED)
Nathaniel bought stock in a company two years ago that was worth a dollars. During
the first year that he owned the stock, it increased by 9%. During the second year the
value of the stock decreased by 19%. Write an expression in terms of a that
represents the value of the stock after the two years have passed.
Answers
The expression in terms of a that represents the value of the stock after the two years have passed is given as follows:
0.8829a.
How to obtain the expression?The expression is obtained applying the proportions in the context of this problem.
The initial price is given as follows:
a.
After a increase of 9%, the price is multiplied by 1.09(equivalent to 109%), hence:
1.09a.
After the decrease by 19%, the price is multiplied by 100 - 19 = 81% = 0.81, hence:
1.09 x 0.81 x a = 0.8829a.
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Use the distributive property to remove the parentheses.
4c3(3-1005)
Simplify your answer as much as possible.
Answers
Answer:
Step-by-step \(12c^{3} -40c^{8}\)explanation:
HELP PLEASEEEE!!!!!! Last one :(
Answers
Answer:
4
Step-by-step explanation:
RS + ST = RT
=> 3x-8 + x = 2x
4x - 8 = 2x
Subtract 2x from both the sides,
4x - 2x - 8 = 0
2x - 8 = 0
Add 8,
2x = 8
Divide by 2,
x = 8/2 = 4
Length of line segment ST = x = 4
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
Answers
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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Tom wants to pour 84.99 grams of salt into a container. So far, he has poured. 17.4 grams. How much more salt should Tom pour?
grams
Explanation
Check
X
G
Eple Charter
Answers
The remaining amount of salt that Tom needed to pour was 67.59 grams.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
As per the given,
The total amount that Tom needs to pour = 84.99 grams
Amount poured = 17.4 grams
Remaining = 84.99 grams - 17.4 grams = 7.59 grams
Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".
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An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw
requires a 5% mix of engine oil to gas-that is, the amount of oil should be 5% of the amount of gas. How much engine oil should
be added to a jerry can that contains 3.8 gallons of gas?
(Type a whole number or a decimal)
Answers
Answer:
To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:
0.05 x 3.8 = 0.19
So, 0.19 gallons of engine oil should be added to the jerry can.
1. A probability experiment which outputs a single number is a(n) _______________ ________________.
(two words)
2. A discrete random variable can output either a finite or a(n) ______________(countably, uncountably)
infinite number of values.
3. A continuous random variable has its values in one or more __________________. An example is the __________________ distribution whose density function is the horizontal line from X=a to X=b.
4. The _________________ __________________ (two words) of a discrete random variable lists every possible value that the variable can assume and the corresponding probabilities.
5. For a(n) _________________ random variable, a sample is drawn with replacement, or there is a large population size. Successive trials are independent of each other. There is a categorical variable with 2 possible values. The ________________(population, sample) is of a fixed size n.
6. For a ____________________ random variable, a sample is drawn without replacement. Successive trials are dependent on each other. There is a ____________________ (population, sample) of finite size N and a categorical variable with 2 possible values. The sample is of a fixed size _______ (N, n, p, q, r).
7. For each blank, include both the formula and the exact answer; do not use a calculator.
Given a uniform distribution with the sample space [1, 4], the height of its density function is ________________ and it has mean ________________ and standard deviation __________________.
8. The ___________________ ____________________ (two words) distribution has a density function that is bell shaped and symmetric. Its mean is 0 and its standard deviation is 1.
9. The ___________________ is also known as the average, expectation and expected value.
10. The ___________________of a discrete random variable can be found by taking the product of each outcome and its probability and then summing.
11. The ______________________ (one word!) of a discrete random variable can be found by subtracting the square of its mean from the expectation of the square of the random variable.
Answers
2. Countably
3. Intervals, Uniform
4. Probability Distribution
5. Binomial, Population
6. Hypergeometric, Population, N
7. Density function = 1/3, Mean = 2.5, Standard deviation = 0.82
8. Standard Normal
9. Mean
10. Expected value
11. Variance
the population full-time equivalent number of students (ftes) at lake tahoe community college for 2005-2006 through 2010-2011 was given in an updated report. the data are reported here. year 2005-06 2006-07 2007-08 2008-09 2009-10 2010-11 total ftes 1,585 1,690 1,735 1,935 2,021 1,890 calculate the mean, median, standard deviation, the first quartile, the third quartile and the iqr. round to one decimal place. mean _____
median _____
Standard deviation ______
first quartile _____
third quartile ____
IQR _____
Answers
The correct answer for the required values is 1825.5, 1,812.5, 165.2, 1,690, 1,935, and 245 respectively.
To find the mean, median, standard deviation, first quartile, third quartile, and interquartile range (IQR) of the full-time equivalent number of students (FTES) at Lake Tahoe Community College for the given years, we can solve it using the following formulas for various aspects:
Mean: μ = (Σx)/n
Median: Middle value of the data set
Standard deviation: σ = sqrt[Σ(x-μ)²/n]
First quartile (Q1): Median of the lower half of the data set
Third quartile (Q3): Median of the upper half of the data set
IQR: Q3 - Q1
Year FTES
2005-06 1,585
2006-07 1,690
2007-08 1,735
2008-09 1,935
2009-10 2,021
2010-11 1,890
1. μ = (Σx)/n = (1,585 + 1,690 + 1,735 + 1,935 + 2,021 + 1,890)/6 = 1,825.2
Therefore the mean is 1,825.2
2. To find the median, arrange the data in ascending order:
1,585, 1,690, 1,735, 1,890, 1,935, 2,021
Since there are an even number of values, the median is the average of the two middle values, which are 1,812.5 and 1,812.5. So, the median is:
Median = (1,812.5 + 1,812.5)/2 = 1,812.5
3. σ = sqrt[Σ(x-μ)²/n]
= sqrt[((1,585-1,825.2)² + (1,690-1,825.2)² + (1,735-1,825.2)² + (1,935-1,825.2)² + (2,021-1,825.2)² + (1,890-1,825.2)²)/6]
= 165.2
4. To find the first quartile (Q1), find the median of the lower half of the data set, which consists of the values 1,585, 1,690, and 1,735.
Since there are an odd number of values, the median is the middle value, which is 1,690. Therefore, Q1 = 1,690.
5. To find the third quartile (Q3), we need to find the median of the upper half of the data set, which consists of the values 1,890, 1,935, and 2,021.
Since there are an odd number of values, the median is the middle value, which is 1,935. Therefore, Q3 = 1,935
6. IQR = Q3 - Q1
Substituting the calculated values in the equation
IQR = 1935 - 1690
= 245
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Each equation below is followed by several stories.
Select all of the stories that can be represented by the equation.
If none of the stories can be represented, select "None of the above".
(a)x+11=44
Answers
Typically, there are keywords in the story that tell us what operations we need to use.
For instance, in terms of age:
"Younger" or "older" connotes to subtraction from the age of the older person. It can also connote to the addition to the age of the younger person."Years ago" typically connotes to the subtraction of x years from the person's current age."More years" typically connotes to the addition of x years to the person's current age.Solving the QuestionLet's take a look at our first option.
Yousif is x years old. Rana is 44 years older than Yousif. Rana is 11 years old.Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?
Let's look at our second option.
Rana is x years old. in 11 more years, she will be 44 years old.Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:
\(x+11\)
This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:
\(x+11=44\)
This is our final expression. It is the same as the given expression in the question.
AnswerRana is x years old. in 11 more years, she will be 44 years old.
An image of a rhombus is shown.
A rhombus with a base of 17 inches and a height of 14 inches.
What is the area of the rhombus?
62 in2
119 in2
124 in2
238 in2
Answers
Answer: The area of a rhombus can be calculated using the formula:
A = (base x height) / 2
Substituting the given values, we get:
A = (17 in x 14 in) / 2
A = 119 sq in
Therefore, the area of the rhombus is 119 square inches.
Hence, the answer is option B, 119 in2.
Step-by-step explanation:
The area of the rhombus is 238 square inches.
Explanation:To find the area of a rhombus, you can use the formula: Area = base * height.
In this case, the base of the rhombus is 17 inches and the height is 14 inches. Plugging these values into the formula, we get Area = 17 * 14 = 238 square inches.
Therefore, the area of the rhombus is 238 square inches.
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Question -: If ( 1 + tan θ ) ( 1+ ∅ ) = 2 , then what is ( θ + ∅ ) ?
a . 30⁰ b. 45⁰ c. 60⁰ d. 90⁰
Answer this question
Please Give Explanation
thanks
Answers
Correct choice is B.) 45°
The solution is in attachment ! do check it
Step-by-step explanation:
6.25 points
Find the GCF for the list.
10m4, 40m⁹
10m5
40m4
10m4
6.25 points
hey
list
Please help. I will give you brainlest
Answers
Answer:
B or C one of those
Step-by-step explanation:
Jenna parks her car at a parking lot for a flat fee of $5.00 plus $0.75 per hour that her car is parked.
(a) Write an equation to represent Elaine's total parking cost, C, in dollars, for t hours.
(b) How much will it cost Elaine to park her car for a full 24 h?
PLEASE HELP!!!
Answers
a. C = 5.00 + 0.75t
b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:
C = 5.00 + 0.75t
In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.
(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:
C = 5.00 + 0.75 * 24
Calculating this expression, we get:
C = 5.00 + 18.00
C = 23.00
Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.
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determine the value of X?
Determine the Magnitude of FTD?
Answers
The value of x is 50 and FTD = 130°
How to find the value of x?Both of the angles in the diagram must have the same measure because are vertical, then:
3x - 20 = 2x + 30
3x - 2x = 30 + 20
x = 50
That is the value of x.
And we can see that FTD = 2x + 30 = 2*50 + 30 = 130
That is the measure.
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Suppose the given confidence level is 85%, what is the corresponding z critical value?
Answers
Please help. . . . . . . . .
Answers
9514 1404 393
Answer:
recursive: 5, 3, 2
explicit: 5, 3
Step-by-step explanation:
First of all, you can identify the first term as a1 = 5.
Then you can see that the ratio of consecutive terms is ...
15/5 = 45/15 = 135/45 = 405/135 = 3 . . . the common ratio
In the recursive formula, a1 is the first term (5), and the multiplier getting you to the next term is the common ratio (3). The recursion relation is good for values of n such that n-1 is at least 1. That is, n ≥ 2.
\(\text{The recursive rule is }a_1=\boxed{5}\text{ and }a_n=\boxed{3}a_{n-1}\text{ for }n\ge\boxed{2}\)
__
The explicit rule is formed the way the problem statement tells you: the first term times a power of the common ratio.
\(\text{The explicit rule is }a_n=\boxed{5}(\boxed{3})^{n-1}\)
Ella earned $59.70 selling handmade bracelets at the craft fair. She sold a total of 6 bracelets. If all the bracelets were priced the same, how much did she charge for each bracelet?
Answers
Which point could not be part of a function that includes (3, -1), (4, 2), (5, 4), (-2, 0), and (8, -3)?
(6, -7)
(2,2)
(3, -2)
(7, 4)
Answers
Answer:
(3, -2) is the correct choice.
The boxplot shown below results from the heights (cm) of males listed in a data set. What do the numbers in that
K boxplot tell us?
156
168.1
173.7
The minimum height is
third quartile Q3 is
(Type integers or decimals. Do not round.)
181.4
cm, the first quartile Q, is
cm, and the maximum height is
192
cm, the second quartile Q₂ (or the median) is
cm.
cm, the
Answers
From the given box plot, it is found that:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.The measures are shown in order, from left to right, hence:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
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If points ABCD and E are equally spaced, what is the approximate are length from A and B?
Answers
Okey, in this case we need to find first all the play of circumference of the circle:
2πr
2*3.5*22/7
Total: 22 inches
Considering that the circle is divided into 5 equal parts, we will divide thw total by five:
22/5= 4.4 inches
The distance between all parts of the circle is 4.4 inches, so the distance between a and b is 4.4 inches.
On a map of North Carolina has a scale of 1 in = 60 miles. If from Charlotte to
Holden Beach is 4 1/2 inches, how far is it from Charlotte to Holden Beach? *
Answers
Answer:
270 miles
Step-by-step explanation:
Answer:
270 miles
Step-by-step explanation:
60 * 4.5 = 270
Each inch is equal to 60 miles. You can set up a ratio like this.
\(\frac{1}{60} = \frac{4.5}{x}\)
Cross multiply to solve for x (or use a calculator).
x = 270
Note in our equation that the denominators are miles and numerators are inches. These much match or else you will get an incorrect answer.
Is It 1/9? since I pursued 450/50 = 1/9
Answers
Answer:
\(\frac{8}{9}\) is water
Step-by-step explanation:
450 ml of squash with 50 ml of cordial , then
amount of water = 450 - 50 = 400 ml
Fraction of water = \(\frac{400}{450}\) ( divide numerator/ denominator by 50 )
fraction of water = \(\frac{8}{9}\)
Step-by-step explanation:
it is the other way around based on the description.
450 ml are made by mixing (diluting) 50 ml with water.
that means that of the 450 ml 50 ml are cordial, and the rest (450-50 = 400 ml) is water.
therefore, 1/9 is the fraction of cordial, but 8/9 is the fraction of water.
50/450 = 1/9
400/450 = 8/9
Can you help me with this equation?
Answers
The linear function that relates y to x is given as follows:
y = -0.5x + 57.
The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.
How to define a linear function?
The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the table, when x = 0, y = 57, hence the intercept b is given as follows:
b = 57.
When x increases by 10, y decays by 5, hence the slope m is given as follows:
m = -5/10
m = -0.5.
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