There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?
Answers
The probability of getting exactly 1 green will be 1/13.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
Given data;
No of blue marbles= 5,
No of red marbles=6
No of green marbles=2
Total no of ball = 5+6+2
Total no of ball = 13
The probability of getting one green marble is;
P(G)=1/13
Hence, the probability of getting exactly 1 green will be 1/13.
To learn more about the probability, refer to the link;
https://brainly.com/question/11234923
#SPJ1
Related Questions
true or false
sin 30°=√3/2 and cos 30°=1/2
Answers
Answer:
false
Step-by-step explanation:
because it is vice versa
sin 30=1/2
cos 30=√3/2
Solve the following absolute value equations. Show the solution set.
1/2=1/3-|(x-3/6)+x|
Answers
The solution set for the equation 1/2 = 1/3 - |(x-3/6)+x| is {1/12, -1/12}.
How to Solve Absolute Value Equations?To solve the equation 1/2 = 1/3 - |(x-3/6)+x|, we need to isolate the absolute value expression and solve for x in two cases.
Case 1: (x-3/6)+x is nonnegative, which means the absolute value can be removed.
1/2 = 1/3 - (x-3/6)-x
1/2 = 1/3 - 2x + 1/2
2x = 1/6
x = 1/12
Case 2: (x-3/6)+x is negative, which means the absolute value must be flipped.
1/2 = 1/3 + (x-3/6)+x
1/2 = 1/3 + 2x - 1/2
2x = -1/6
x = -1/12
Therefore, the solution set is {1/12, -1/12}.
Learn more about equations
brainly.com/question/29657983
#SPJ11
13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons of
pepper and 2/4 teaspoons of salt, 1/8 teaspoons of pepper and 4 teaspoons of parsley.If she needs to make 1.5 times the recipe, how many teaspoons will she use of each
ingredient? How many teaspoons will she use in total (when she combines all of the ingredients)? Show all of your
work.
Answers
Answer:
10.875 total, 1.5 times each are below.
Step-by-step explanation:
1.5 (1 1/2) x 1.5 = 2.25
0.5 (2/4) x 1.5 = 0.75
0.125 (1/8) x 1.5 = 1.875
4 x 1.5 = 6
2.25 + 0.75 + 1.875 + 6 = 10.875 total
Illustrated is a simply supported beam that has been deformed by an unknown loading condition. Also illustrated is the beam’scross-section bunits wide and hunitstall. The beam is made of material with Young’s Modulus Eand has an area momentof inertiaI. Following deformation, the resulting elastic curveis given by (x)=−[T(^4)]/[(^4) sin(x/)] where T is a constant and L is the length of the beam, i.e., 0≤x≤. You desire to identify the location(s) of max normal and shear stresses.
Answers
To identify the location(s) of max normal and shear stresses, we need to use the equations for normal and shear stresses in a beam.
The normal stress, σ, can be calculated using the formula σ = My/I, where M is the bending moment at a given point, y is the distance from the neutral axis, and I is the area moment of inertia. The maximum normal stress will occur at the point with the maximum bending moment.
The shear stress, τ, can be calculated using the formula τ = VQ/It, where V is the shear force at a given point, Q is the first moment of area of the portion of the beam to the left of the point, t is the thickness of the beam, and I is the area moment of inertia. The maximum shear stress will occur at the point with the maximum shear force.
To find the bending moment and shear force at a given point, we can use the equations for the elastic curve. The slope of the elastic curve, θ, is given by θ(x) = d/dx(w(x)), where w(x) is the deflection of the beam at a given point. The bending moment at a given point is then given by M(x) = EIθ(x), and the shear force is given by V(x) = d/dx(M(x)).
Using the given equation for the elastic curve, we can calculate the slope and curvature at any point. From there, we can find the bending moment and shear force at that point, and then calculate the normal and shear stresses. The location(s) of max normal and shear stresses will occur at the point(s) with the highest stress values.
It's important to note that the given equation for the elastic curve assumes a uniformly distributed load, so it may not accurately represent the actual loading condition. However, it can still be used to find the location(s) of max stresses as long as we assume that the actual loading condition is similar to a uniformly distributed load.
To determine the location of maximum normal and shear stresses in the simply supported beam with a deformed shape given by y(x) = -[T(x^4)]/[(L^4) sin(x/L)], we need to consider the beam's cross-section (b units wide and h units tall), Young's Modulus (E), and area moment of inertia (I).
Maximum normal stress occurs when the bending moment is maximum, and it can be calculated using the formula: σ = M(y)/I, where M is the bending moment and y is the distance from the neutral axis.
To find the maximum bending moment, first, find the first derivative of y(x) with respect to x and set it equal to zero. Solve for x to obtain the location of maximum bending moment. Then, use the obtained x value to find the corresponding maximum bending moment (M) and apply the normal stress formula.
For maximum shear stress, it occurs when the shear force is maximum. Shear force can be calculated using the formula: V = -dM/dx, where dM/dx is the derivative of the bending moment with respect to x.
To find the maximum shear force, first, find the second derivative of y(x) with respect to x and set it equal to zero. Solve for x to obtain the location of maximum shear force. Then, use the obtained x value to find the corresponding maximum shear force (V). Finally, apply the shear stress formula: τ = VQ/(Ib), where Q is the first moment of area and b is the beam's width.
By following these steps, you can identify the location(s) of maximum normal and shear stresses in the given beam.
Visit here to learn more about inertia brainly.com/question/3268780
#SPJ11
For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 4 pennies into his bank, how many pennies does Tara put into her bank?
Answer options with 5 options
A. 1
B. 5
C. 7
D. 8
E. 16
Answers
Answer:
E. 16
Step-by-step explanation:
How I solved this is I used a ratio. 1:4 (Meaning 1 penny from Sam is 4 from Tara ). So if Sam has 4, you have to multiply 4 by 4 to. So 4:16. I hope that makes sense, if it doesn't I can explain
Can some one help me with this urgent?
Hotel Nights Price (in dollars)
A 3 192
B 5 300
C 7 455
Which hotel costs the least per night?
Answers
Chad invested 840 if he earned 20 on his investment how much interest did he earn
Answers
Answer:
860
Step-by-step explanation:
Just add 840 and 20 together lol
What is the percentage strength of neomycin in the final compounded product? (Answer must be numeric; no units or commas; include a leading zero when the answer is less than 1; round the final answer to the nearest ONE DECIMAL PLACE.)Rx:Neomycin (5%) cream 30gPolymyxin B 20gHydrocortisone 10gMix the ingredients to make a smooth creamSig: apply to affected area BID
Answers
The percentage strength of neomycin in the final compounded product is approximately 2.5%.
To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.
Neomycin (5%) cream: 30g
The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:
Weight of neomycin = 30g × 0.05 = 1.5g
Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:
Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100
Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5
Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.
For more such questions on percentage , Visit:
https://brainly.com/question/30744872
#SPJ11
A principal of a school with 484 students collected information about how many of the students wear glasses complete the two way frequency table. Plss help I didn’t understand how to do it!!
Answers
The percentage of students are boys = 51.5% and The percentage of students always wear glasses = 21.3%
What is percentage ?
percentage can be defined as the product of ratio of given value , total value and hundred.
Given ,
A principal of a school with 484 students collected information about how many of the students wear glasses complete the two way frequency table
So, the number of boys always wears glasses are 40
the number of boys sometimes wears glasses are 48
the number of boys never wear glasses are 161 .
Total number of boys = 249
the number of girls always wears glasses are 36
the number of girls sometimes wears glasses are 55
the number of girls never wear glasses are 144.
Total number of girls = 235
Total number of students always wears glasses = 76
Total number of students sometimes wears glasses = 103
Total number of students never wear glasses = 305 .
Total number of students = 484 .
The percentage of students are boys = 51.5%
The percentage of students always wear glasses = 21.3%
Hence, The percentage of students are boys = 51.5% and The percentage of students always wear glasses = 21.3%
To learn more about percentage from the given link.
https://brainly.com/question/29306119
#SPJ1
A recent survey of 2500 college students revealed that during any weekend afternoon, 1480 receive a text message, 920 receive an e-mail and 547 receive both a text message and an e-mail. Suppose a college student is selected at random, what is the probability that he/she neither receives a text message nor an email during any weekend afternoon?
Answers
The probability that he/she neither receives a text message nor an email during any weekend afternoon be 0.3000.
What is meant by probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Using the method for the union of two sets, we can calculate the number of students who receive either a text message or an email (or both) based on the above data:
Number of students who receive either a text message or an e-mail = Number of students who receive a text message + Number of students who receive an e-mail - Number of students who receive both
= 1364 + 857 - 470
= 1751
The proportion of students who don't receive either a text message or an email divided by the total sample of students is the probability that a student will not receive either:
P(neither T nor E) = (2500 - 1751) / 2500
= 749 / 2500
= 0.2996
Rounding to four decimal places:
P(neither T nor E) = 0.2996 ≈ 0.3000
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ1
Statistical reasoning can help us generalize correctly from
A. a range to standard deviation
B. a standard deviation to a mean
C. a sample to a population*
D. A scatter plot to a skewed distribution
Answers
Statistical reasoning can help us generalize correctly from a sample to a population (option C).
Statistical reasoning involves using data and statistical methods to draw conclusions or make inferences about a larger population based on a smaller sample.
By carefully selecting and analyzing a representative sample, statistical reasoning allows us to make valid generalizations about the population as a whole.
By applying statistical techniques, such as hypothesis testing, confidence intervals, and estimation methods, we can make inferences about population parameters, such as means, proportions, or other summary statistics.
These methods help us draw conclusions about the population based on the observed data from the sample.
Option A, generalizing from a range to standard deviation, is not correct.
The range is a measure of variability in a dataset and provides information about the spread of values but does not directly relate to the standard deviation.
Option B, generalizing from a standard deviation to a mean, is also not correct.
The standard deviation measures the dispersion or spread of data around the mean and does not provide information about the mean itself.
Option D, generalizing from a scatter plot to a skewed distribution, is not an accurate representation of statistical reasoning.
A scatter plot is a visual representation of the relationship between two variables and does not directly imply information about the shape or distribution of the data.
The presence of skewness in a distribution is typically determined by analyzing the actual data distribution using statistical tests or graphical tools specifically designed for that purpose.
Therefore, option C, generalizing from a sample to a population, is the correct choice that reflects how statistical reasoning enables us to draw valid conclusions about a population based on a sample.
To know more about Statistical reasoning refer here:
https://brainly.com/question/28202575#
#SPJ11
What are the y-intercept and the asymptote of g(x) = 3x – 5? (0, –5); y = 3 (0, –2); y = 5 (0, –4); y = –5 (0, 5); y = –3
Answers
The y-intercept of the equation g(x) = 3^x - 5 is (0, -4) and the asymptote of the equation g(x) = 3^x - 5 is y = -5
How to determine the y-intercept?The equation of the function g(x) is given as:
g(x) = 3^x - 5
The y-intercept is a point on the graph where the value of x is 0
This is represented by x= 0 or (0, y)
This means that we substitute 0 for x in the above equation
So, we have:
g(0) = 3^0 - 5
Evaluate the exponent 3^0
g(0) = 1 - 5
Evaluate the difference of 1 and 5
g(0) = -4
Rewrite this point as
(0, -4)
This means that the y-intercept of the equation g(x) = 3^x - 5 is (0, -4)
How to determine the asymptote?The equation of the function g(x) is given as:
g(x) = 3^x - 5
The asymptote is a point on the graph where that is parallel to the graph
In the above equation, we have:
g(x) = 3^x - 5
Express the radical as 0
y = 0 - 5
Evaluate the difference of 0 and 5
y = -5
This means that the asymptote of the equation g(x) = 3^x - 5 is y = -5
Read more about asymptote at:
https://brainly.com/question/1851758
#SPJ1
Find the circumference and the area of a circle with diameter 7 cm. Use the value 3.14 for n, and do not round your answers. Be sure to include the correct units in your answers.
Answers
Answer:
the circumstance would be 21.99
the area is 38.48
Step-by-step explanation:
radius is half the diameter so your radius is 3.5
The area of a circle is pi times the radius squared (A = π r²) which for you would be A = 3.14 × 3.5²
circumference is found by multiplying 2 times pi times the radius (C = 2πr) which for you would be C = 2 × 3.14 × 3.5
Which of the equations shown have infinitely many solutions? Select all that apply. A. 3x – 1 = 3x + 1 B. 2x – 1 = 1 – 2x C. 3x – 2 = 2x – 3 D. 3(x – 1) = 3x – 3 E. 2x + 2 = 2(x + 1) F. 3(x – 2) = 2(x – 3)
Answers
The two equations with infinite solutions are D 3(x – 1) = 3x – 3 and E2x + 2 = 2(x + 1)
Which equations have infinite solutions?An equation has infinite solutions if we can remove the dependence of the variable, and we end with a true equation.
For example, option D is:
3(x - 1) =3x - 3
Expanding the left side:
3x - 3 = 3x - 3
Subtract 3x in both sides:
-3 = -3
That is true for any value of x.
The other correct option is E:
2x + 2 = 2(x + 1)
2x + 2 = 2x + 2
2 = 2
Learn more about equations at:
https://brainly.com/question/22688504
#SPJ1
Need Help here Please!
Answers
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
What is the answer and please tell me how you got the answer
A. (x, y) (2x, 2y)
B. (x, y) (4x, 4y)
C. (x, y) (1\2x, 1\2y)
D. (x, y) (1/4x, 1/4y
Answers
Answer:
A. (x,y) - (2x,2y)
Step-by-step explanation:
PLEASE HELP MATH!!!!!! MULTIPLE CHOICE!!
Choose 1 answer:
(Choice A)
sin(30°)
(Choice B)
cos(30°)
(Choice C)
sin(300°)
(Choice D)
cos(300°)
(Choice E)
sin(330°)
(Choice F)
cos(330°)
Answers
Answer:
B should be the correct answer
Step-by-step explanation:
don't quote me on that
ab - 0.5b when a = 1 and b = 5
Answers
Answer:
2.5
Step-by-step explanation:
a = 1
b = 5
ab
= 1 x 5
= 5
0.5b
= 0.5 x 5
= 2.5
ab - 0.5b
= 5 - 2.5
= 2.5
Answer:
2.5
Step-by-step explanation:
ab - 0.5b
a = 1 and b = 5
(1)(5) - 0.5(5)
Multiply (1)(5) = 5
5 - 0.5(5)
Multiply -0.5(5) = -2.5
5 - 2.5
Subtract 5 - 2.5 = 2.5
2.5
what are the two dimensions on the retail positioning matrix?
Answers
The Retail Positioning Matrix is a tool used in retail marketing that helps to visualize and evaluate potential positioning strategies. It is composed of two main dimensions: price and quality.
While quality relates to the perceived value of a product or service in terms of its features, advantages, and performance, price is the amount of money consumers are prepared to pay for a good or service.
High price/high quality, high price/poor quality, low price/high quality, and low price/low quality are the four quadrants that the matrix divides price and quality into.
Retailers can choose which positioning approach will work best in a particular market by looking at each of these four quadrants, which each feature a different positioning strategy.
To learn more about dimensions visit:
https://brainly.com/question/26740257
#SPJ4
Bayside Middle School sold tickets for their local talent
quest. During the first evening, 210 students and 140
adults attended the show and they collected $2,170 in
total for the ticket sales. For the second evening, 275
students and 125 adults attended and they collected
$2,375 in ticket sales. Let s represent the cost of a
student ticket and let a represent the cost of an adult
ticket.
Answers
Answer:
221
Step-by-step explanation:
1. What does the mean of a dataset represent? What does knowing
the standard deviation of a
dataset add?
2. What is a p value? What is the meaning of a p value?
3. Define alpha. How is it related to p
Answers
1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.
A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.
2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.
It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).
3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.
If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.
Learn more about hypothesis from:
https://brainly.com/question/26185548
#SPJ11
maddox has $12.25 to spend on sports drinks. Each drink costs $1.75. Use the guess, check, and revise strategy to solve the equation 1.75d=12.25 to find d, the number of drinks Maddox can buy.
Answers
If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much? To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to processors being defective
Answers
Answer
Digitalis can expect to make money from selling these processors.
In the long run, they should expect to make 52.68 dollars in each processor sold
Step-by-step explanation
The expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.
In this case, we have:
• probability that the processor is not defective: 0.87 (= 87/100)
,• company's earning if the processor is not defective: $464 (company's profit)
,• probability that the processor is defective: 0.13 (= 13/100)
,• company's earning if the processor is defective: -$2700 (the negative sign indicates that the company will lose money in this case)
Therefore, the expected value is:
\(\begin{gathered} E=0.87\times464+0.13\times(-2700) \\ E=\text{ \$}52.68 \end{gathered}\)The function f(x) is a cubie function and a limited table of values is provided below. Write the equation of the cubic polynomial in standard form.
Answers
The required cubic polynomial is
f(x) = \(-2x^3-2x^2-28x+48\)
What is a polynomial?
An algebraic expression of the form \(a_0 + a_1x+ .... + a_nx^n\) (\(a_0 \neq 0\)) is called a polynomial of degree n.
The zeroes of the cubic polynomial are -4, 2, 3
Let the cubic polynomial is
f(x) = a(x - (-4))(x - 2)(x - 3)
f(x) = a(x + 4)(x - 2)(x - 3)
If x = -5, f(x) = 112
112 = a(-5 + 4) (-5 - 2)(-5 - 3)
112 = -56a
a = \(-\frac{112}{56}\)
a = -2
f(x) = -2(x+ 4)(x - 2)(x - 3)
\(f(x) = -2(x+ 4)(x^2 -3x -2x +6)\\f(x) = -2(x + 4)(x^2 - 5x + 6)\\f(x) = -2(x^3 - 5x^2+4x^2+6x - 20x+24)\\f(x) = -2(x^3 - x^2 - 14x +24)\\f(x) = -2x^3 -2x^2 - 28x + 48\)
(x +4)(x - 2)(x - 3)
To learn more about polynomial refer to the link-
https://brainly.com/question/2833285
#SPJ1
Any number raised to the 2nd power is said to be what?
Answers
Answer: An exponent. Or multiplied by itself.
Step-by-step explanation:
a student takes an exam containing 1111 true or false questions. if the student guesses, what is the probability that he will get less than 55 but more than 33 questions right? round your answer to four decimal places.
Answers
Required Probabilty = 161.1
n = 1111
Probability of getting correct P(c)= 1/2
Probability of getting wrong P(w)= 1/2
So it follows binomial distribution
P (x*r) = Ncr .(P)r . (q)n-r = P (33<X<55) = P(X-r) = 1111c4 . (1/2) power of 44 . (1/2) power of 1111-44
Required Probabilty = 161.1
You can learn more about this through the link below:
https://brainly.com/question/18237821#SPJ4
What’s the cm column??
Answers
C)0.09m
I think I’m not really sure
farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answers
Answer:3.92
Step-by-step explanation:
find 1/5 of 9.8kg
=1.96kg
3/5 of pears = 1.96*3=5.88kg
apples= 2/5 so 1.96*2=3.92kg
OR 9.8-5.88=3.92kg
Answer:
3.92kg of Apples
Step-by-step explanation:
The size of Pears weight is 3/5 of 9.8kg...
=3/5 * 9.8
=3 * 9.8/5
=29.4/5
=5.88kg
Thus, the size of the Apples will be 9.8kg - 5.88kg
= 3.92kg.
Thus, the farmer sold 3.92kg of Apples at the farmer's market.
Tavon has a gift card for $45 that loses $2 for each 30-day period it is not used. He has another gift card for $35 that loses $1.50 for each 30-day period it is not used.
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
Answers
Answer:
1
Step-by-step explanation:
What is the equation of the line that is parallel to the the line y-1 =4 (x+3) and passes through th point (4,32)
Answers
Calculation of slope: y-1=4(x+3) m= 4 and b=16