The probability that she will select the two pink bean bags from the box on her first two attempts is approximately 2.2%.
To calculate the probability that she will select the two pink bean bags from the box on her first two attempts, we need to;
1. Determine the total number of bean bags in the box. There is one yellow, four blue, three red, and two pink bean bags, which makes a total of 1 + 4 + 3 + 2 = 10 bean bags.
2. Calculate the probability of selecting a pink bean bag on the first attempt. There are two pink bean bags out of 10, so the probability is 2/10 or 1/5.
3. After selecting one pink bean bag, there are now nine bean bags left in the box. Calculate the probability of selecting the second pink bean bag on the second attempt. Since there is only one pink bean bag left, the probability is 1/9.
4. To find the overall probability of selecting two pink bean bags in the first two attempts, multiply the probabilities from steps 2 and 3. So, the probability is (1/5) * (1/9) = 1/45.
5. Convert the fraction to a percentage by dividing the numerator by the denominator and multiplying by 100. (1/45) * 100 = 2.22% (rounded to the nearest tenth of a percent).
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Divide. 2) 524 what does this equal
Answer:
262
Step-by-step explanation:
Which of the following integrals would you have after the most appropriate substitution for evaluating the integral 2+2-2 de de 2 cos de 8 | custod 2. cos? 2 sinº e de | 12 sin® 8 + sin 0 cos e) de
The most appropriate substitution for evaluating the given integral is u = sin(θ). After the substitution, the integral becomes ∫ (2+2-2) du.
This simplifies to ∫ 2 du, which evaluates to 2u + C. Substituting back u = sin(θ), the final result is 2sin(θ) + C.
By substituting u = sin(θ), we eliminate the complicated expressions involving cosines and simplify the integral to a straightforward integration of a constant function. The integral of a constant is simply the constant multiplied by the variable of integration, which gives us 2u + C. Substituting back the original variable, we obtain 2sin(θ) + C as the final result.
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C is a town.
The bearing of C from A is 050°.
Find the bearing of A from C.
In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
Which point is the bearing?The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.
To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.
Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:
Bearing of A from C = 50° + 180° = 230°
Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
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Complete question -
What is the equation of this graph compared to parent graph? vertical shift= number added or subtracted to function.
Graphs can be shifted vertically in both straight and curved lines.
What is the equation for vertical shift?Graphs can be vertically moved in both linear and curvilinear directions. Add or remove a number from the constant to change the equation's graph vertically. G(x) = f(x) + c and G(x) = f(x) - c are the formulas for an upward and a downward shift, respectively.
Given a function f, a new function g(x) = f(x - h) is created, where h is a constant. This new function is a horizontal shift of the original function f. Graph shifts to the right if h is positive. If h is low, the graph will move to the left.
Given a function f(x), a new function g(x) = f(x) + k is created, which is a vertical shift of the original function f(x). The output values all shift outward by k units. The graph will move upward if k is positive. The graph will tilt downward if k is negative.
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the solution set for 3 => x-4/2 + x/3 => 2, x belongs to an integer
Answer:
To solve the inequality 3 ≤ (x - 4)/2 + x/3 < 2, we can start by simplifying the expression on the right-hand side:
(x - 4)/2 + x/3 = (3(x - 4) + 2x)/6 = (5x - 12)/6
Substituting this back into the inequality, we have:
3 ≤ (5x - 12)/6 < 2
Multiplying both sides by 6, we get:
18 ≤ 5x - 12 < 12
Adding 12 to all sides, we get:
30 ≤ 5x < 24
Dividing all sides by 5, we get:
6 ≤ x < 4.8
Since x is an integer, the only integer that satisfies this inequality is x = 6. Therefore, the solution set for the inequality 3 ≤ (x - 4)/2 + x/3 < 2, where x belongs to an integer, is {6}.
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What is the sum of 2 3/5 and 3/7
Find the common denominator (Lower number on a fraction)
Simplest way is 5x7. 5x7=35
Make it imporper: 13/5 and 3/7
Common denominator: 91/35 and 15/35
106/35.
Mixed form: 3 1/35
Brainliest and a heart would be the best, thank you.
Answer:
106/35 or 3 and 1/35 (depending on if the answer should be a mixed number or improper fraction)
Step-by-step explanation:
2 3/5 + 3/7
to add, you first convert to improper fractions by multiplying the denominator by the whole number and adding that product to the numerator
5*2=10 and 10+3=13 so the first fraction is now 13/5
the problem is now 13/5+3/7
when adding fractions the denominator needs to be the same. To find the least common multiple (or LCM) or a number you take the number's prime factorization and multiply together the largest number of each prime together. However, since these numbers are prime this is unnecessary and we can just multiply them. When multiplying to change the denominator or numerator you must always multiply the opposite side by the same number. This is because a number over the same number equals one and thus you are altering the form without altering the intrinsic numerical value associated with it. For example, you would multiply 13/5 * 7/7 and get 91/35
Next we would multiply 3/7 * 5/5 because 5 is the number that would make the denominator of this fraction also equal 35 and get 15/35
We now have the equation 91/35 + 15/35
When adding the denominator stays the same and you add the numerators which would produce 106/35
We can convert this to a mixed number by seeing how many times 35 can go into 106 completely.
35 goes into 106 3 times with a leftover of 1 so the mixed version would be 3 and 1/35
(1 point) A phone-in poll conducted by a newspaper reported that 72% of those who called in liked ''real TV''. (a) The number 72% is a A. population. B. sample. C. parameter. D. statistic. (b) The unknown true percentage of American citizens who like ''real TV'' is a A. sample. B. statistic. C. parameter. D. population.\
(a) The number 72% is a D. statistic.
(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.
How to know about the state of the number 72%?It is related to statistics and parameters.
(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.
A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.
How to know about the unknown true percentage of American citizens who like ''real TV''?(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.
A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.
In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.
The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.
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f(x)=3x; y-axis please help me
Answer:
2 I think i might be wrong
Answer: hers the answer
g(r)= - 3r
The ratios of corresponding sides in the two triangles
are equal.
What other information is needed to prove that AFGE
- AIJH by the SAS similarity theorem?
PLEAS HELP?
Answer:
2nd Choice
Step-by-step explanation:
because in SAS, we use 2 sides and the angle between them
The part used to prove the triangles are similar using SAS similarity is
<I = <F.
What is Similarity?If the proportion of the two sides of one triangle is the same as the proportion of the two sides of another triangle, and the angle inscribed by the two sides of both triangles is equal, two triangles are said to be similar.
The three-sided polygon is the triangle. The following is the criteria for triangle similarity:
Corresponding angles of both triangles are equal, corresponding sides of both triangles are proportional to each other.To prove for SAS similarity, we need ratio of two corresponding sides of two triangles equal.
and, one angle which is in between the sides used for ratio.
As, ratios of corresponding sides in the two triangles are equal.
FG / IJ = GE / JH = EF / IH
So, the angle will be <I = <F.
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A sequence starts with: 312500, 62500, 12500, 2500
Calculate the next four terms!
My brain isnt working, please help
The next four terms in the geometric sequence are 500, 100, 20 and 4
What is SequenceSequence is a set or series of related items or events in a particular order. It can refer to a number of different things, such as a set of numbers, a set of events, or a set of objects. In mathematics, a sequence is a series of numbers or other mathematical objects that follow a particular pattern.
In the given problem, the sequence is;
312,500, 62,500, 12,500, 2,500
This is most likely a geometric sequence and we have to find the common ratio.
r = 62500 / 312500 = 0.2 or 2500 / 12500 = 0.2
The common ratio is 0.2
The next term will be the 5th term
Tₙ = arⁿ⁻¹
T₅ = ar⁴
a = first term = 312500
T₅ = 312500(0.2)⁴
T₅ = 500
The next term is 6th term
T₆ = ar⁵
T₆ = 312500(0.2)⁵
T₆ = 100
T₇ = ar⁶
T₇ = 312500(0.2)⁶
T₇ = 20
T₈ = 312500(0.2)⁷
T₈ = 4
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A 48 year old father has a 14 year old daughter. In how many years will the Fathers age be twice the daughters age?
Answer:
When the father is 68 and the daughter is 34
Step-by-step explanation:
i kept increasing their age by one and dividing till the quotient was 2, (its a long process but easier to understand) and i got two when I divided 68 by 34.
only motorists (i.e., drivers and passengers) get stuck in traffic, so you need to guess how many americans are on the road on any given day. since this number is a subset of the total number of americans, a useful technique is to estimate what fraction ???? of americans are daily motorists, then multiply the total number ???? by this fraction in order to refine your estimate. let ???? be the number of daily motorists, with ????
Approximately 243.75 million Americans are on the road on any given day.
The question is asking for a technique to estimate the number of Americans on the road on any given day by using a fraction.
To start, we need to estimate the fraction of Americans who are daily motorists. This fraction represents the proportion of Americans who are drivers or passengers on a daily basis.
Once we have this fraction, we can multiply it by the total number of Americans to refine our estimate. This is because the number of Americans on the road is a subset of the total population.
Let's say the total number of Americans is 325 million (just as an example). We need to find the fraction of Americans who are daily motorists.
To estimate this fraction, we can use data from surveys, traffic studies, or other sources that provide information about the number of Americans who commute or use the road on a daily basis. For example, if a survey suggests that 75% of Americans are daily motorists, we can use this fraction in our estimation.
Now, let's say the fraction of Americans who are daily motorists is 0.75 (or 75%). To refine our estimate, we can multiply this fraction by the total number of Americans:
0.75 * 325 million = 243.75 million
So, based on this estimate, 243.75 million Americans are on the road on any given day.
In summary, to estimate the number of Americans on the road, we can find the fraction of Americans who are daily motorists and multiply it by the total population. This technique allows us to refine our estimate and provide an approximation of the number of Americans on the road on any given day.
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To estimate how many Americans are on the road daily, you can approximate a fraction of the total U.S. population as daily motorists, then multiply that fraction by the total population.
Explanation:This problem involves making an estimate about a large population, which is often done using statistics. Let's say we assume that 20% of all Americans are daily motorists. If we know the total number of Americans, represented as ????, then we can calculate the number of daily motorists using the fraction, also represented as ????. If ????, the total number of Americans is 328 million, for example, then the number of daily motorists ???? = 0.20 * ????. This would be 0.20 * 328 million = 65.6 million daily motorists.
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PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!
The triangle below is equilateral. Find the length of side x to the nearest tenth.
Answer:
5.7
Step-by-step explanation:
Equilateral triangle means all the sides are the same length. So each side is basically \(\sqrt{11}\) times 2
After we know that, we then look to the Pythagorean theorum:
a^2 + b^2 = c^2
Before that, we have to find what the length of the hypotenuse is. 90 degrees equals \(\sqrt{11}\) times 2. So plug this info into the equation:
\(\sqrt{11}\)^2 + b^2 = \(2\sqrt{11}\)^2
11 + b^2 = 4(11)
11 + b^2 = 44
b^2 = 33
b = \(\sqrt{33}\)
b = 5.744 = 5.7
At chengs bike rentals it cost 14$ to rent a bike for 4 hours how many hours of bike use does a customer get paid per dollar
Answer:
0.2857 hour
Step-by-step explanation:
We know
At chengs bike rentals, it costs 14$ to rent a bike for 4 hours.
How many hours of bike use does a customer get paid per dollar?
We take
4 / 14 = 0.2857 hour
So, 0.2857 hour per dollar.
3x= 5+7x solve for x
Answer:
x = -5/4
Step-by-step explanation:
3x= 5+7x (subtract 7x from both sides)
3x - 7x = 5
-4x = 5 (divide both sides by -4)
x = 5/(-4)
x = -5/4
55% of the fish in a pond are goldfish, of the fish are perch and the rest 10 of the fish are sticklebacks. 3 Write the ratio of goldfish to perch to sticklebacks in this pond in its simplest form.
The ratio of goldfish to perch to sticklebacks in this pond in its simplest form is 11 : 6 : 3.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
55% of the fish in a pond are goldfish.
Fraction of fish that are goldfish = 55/100
= 11/20
That is, 11 fishes out of 20 fishes are goldfish.
Fraction of fish that are perch = 3/10 = (3 × 2) / (10 × 2) = 6/20
6 out of 20 fishes are perch.
Rest of the fishes = 20 - (11 + 6) = 3
Fraction of fish that are sticklebacks = 3/20
Ratio of goldfish to perch to sticklebacks = 11 : 6 : 3
Hence the required ratio is 11 : 6 : 3.
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Your question is confusing. The complete question is given below.
55% of the fish in a pond are goldfish. 3/10 of the fish are perch and the rest of the fish are sticklebacks.
Write the ratio of goldfish to perch to sticklebacks in this pond in its simplest form.
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
One year, there were about 3,000 institutions of higher learning in the U.S. (including junior colleges and community colleges). As part of a continuing study of higher education, the Carnegie Commission took a simple random sample of 400 of these institutions. The average enrollment in the 400 sample schools was 3,700, and the SD was 6,500. The Commission estimates the average enrollment at all 3,000 institutions to be around 3,700; they put a give-or-take number of 325 on this estimate. There were about 600,000 faculty members at institutions of higher learning in the U.S. As part of its study, the Carnegie Commission took a simple random sample of 2,500 of these faculty persons. On the average, these 2,500 sample persons had published 1.7 research papers in the two years prior to the survey, and the SD was 2.3 papers. If possible, find an approximate 95%-confidence interval for the average number of research papers published by all 600,000 faculty members in the two years prior to the survey. If this isn't possible, explain why not.
Thus an approximate 95% confidence interval for the average enrollment of all 60,000 faculty members in the two years prior to the survey. which implies that the given statement is true.
According to the statement
Average sample =3700
SD sample =6500
Sample size =400
EV average =3700
SE average =325
Population size =3000
The boundaries of the 68% confidence interval are then 1 standard error from the estimated average:
EV average+1⋅SE average =3700+1⋅325=3700+325=4025
EV average−1⋅SE average =3700−1⋅325=3700−325=3375
Thus an approximate 95% confidence interval for the average enrollment of all 60,000 faculty members in the two years prior to the survey. which implies that the given statement is true.
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Consider the diagram.
Lines AC and RS can best be described as
intersecting.
parallel.
perpendicular.
skew.
Answer:
Scew option D
Step-by-step explanation:
I have the same test
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane x Plane yLine AC is on plane x, while line RS is on plane y.
This means that both lines are non-coplanar
Planes x and y are not parallel; so lines AC and RS are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
See attachment for plane x and plane y
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g (x) = x 3 - 3
what is the value of x when g (x) = 24? enter in the box
Answer:
69.
im not kidding, haha, good luck!
Jose is mailing packages.Each small package cost him $2.90 to send
Answer: =$15.10
Step-by-step explanation:
Let s= the cost of a small package and
l= the cost of a large package
4 small packages and 1 large package
4s+l
Substitute
s=$2.70 and l=$4.30
=4($2.70)+($4.30)
=$15.10
What does literacy look like in mathematics?
How many integer solutions are there to x 1 + x 2 + x 3 + x 4 + x 5 = 31 with (a) x i ≥ 0 (b) x i > 0 (c) x i ≥ i ( i = 1 , 2 , 3 , 4 , 5 )
There are 52,360 integer solutions in part (a), 27,405 integer solutions in part (b), and 4,845 integer solutions in part (c).
How to find the integer solutions?(a) This problem can be solved using stars and bars. We need to distribute 31 identical stars among 5 bins (corresponding to the variables x1, x2, x3, x4, and x5) with no restrictions on the number of stars in each bin. Using the stars and bars formula, the number of solutions is:
\(C(31+5-1, 5-1) = C(35, 4) = 52,360\)
(b) To ensure that xi > 0, we can subtract 1 from each variable and then use the same method as in part (a).
Let \(y1 = x1 - 1, y2 = x2 - 1, y3 = x3 - 1, y4 = x4 - 1, and y5 = x5 - 1\).
Then we have:
\(y1 + y2 + y3 + y4 + y5 = 26\)
Using the stars and bars formula, the number of solutions is:
\(C(26+5-1, 5-1) = C(30, 4) = 27,405\)
(c) To ensure that xi ≥ i, we can subtract i-1 from xi and then use the same method as in part (a).
Let \(z1 = x1 - 1, z2 = x2 - 2, z3 = x3 - 3, z4 = x4 - 4, and\ z5 = x5 - 5.\)
Then we have:
\(z1 + z2 + z3 + z4 + z5 = 16\)
Using the stars and bars formula, the number of solutions is:
\(C(16+5-1, 5-1) = C(20, 4) = 4,845\)
Therefore, there are 52,360 integer solutions in part (a), 27,405 integer solutions in part (b), and 4,845 integer solutions in part (c).
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If f(x)=x-3, which inequality can be used to find the domain of f(x)?
Ovx-3>0
O x-3>0
O vx-3 <0
O x-3<0
Therefore, the correct inequality to find the domain is simply x - 3 < 0, which simplifies to x < 3.
To find the domain of a function, we need to determine all the values of the independent variable (usually represented by x) that the function is defined for. In this case, the function is defined as f(x) = x - 3, which means we can plug in any value of x into the expression x - 3 to get a corresponding value of f(x).
However, there are some values of x that would cause the expression x - 3 to be undefined. For example, if we were trying to find f(x) when x = 2, we would get f(2) = 2 - 3 = -1, which is a valid output. But if we were trying to find f(x) when x = 3, we would get f(3) = 3 - 3 = 0/0, which is undefined.
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# [4-5{1-(4-3+1)}] of 100% equals
a) 50%
b)-1%
c)zero
d)100%
Answer:
To solve this, we need to first evaluate the given expression. We can do that by simplifying the contents of each bracket, starting with the innermost one:
[4-5{1-(4-3+1)}]
⇒ [4 - 5{1 - (2)}]
⇒ [4 - 5{-1}]
⇒ 4 - (-5)
⇒ 4 + 5
⇒ 9
Now we can calculate what 9 out of 100 is:
9 of 100 = \(\frac{9}{100}\)
⇒ 9%
What is a similarity transformation in geometry?
A similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but not the shape.
In geometry, a similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but preserve the shape and angles.
Thus, two or more shapes are similar if they have the same shape and corresponding angles, but their corresponding sides are proportional in length.
This type of transformation is often also referred to as dilation.
The rule of dilatation:
\(D_{k}\) (x,y) = (kx, ky)
with \(D_{k}\) is the coordinate point of the new image and k is the scale factor.
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what is a noun,verb and tangent of 50
Answer:
A noun, is a Person, Place, or Thing. A verb is an action such as Run, Jump, breathing. And a Tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
Step-by-step explanation:
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
i think i know which answer it is.. i just need to confirm..
T/F to find the region s in the uv-plane which corresponds to r, we find the corresponding boundaries. the line though (0, 0) and (6, 1) is y
If the region s in the uv plane corresponds to r , then the line through the points (0, 0) and (6, 1) is y = x/6 .
In the question ,
it is given that ,
we have to find the equation of the line that passes through the points (0, 0) and (6, 1) .
we know that the equation of the line in slope intercept form is written as
y = mx \(+\) c , where m is slope of line .
and m(slope) between the points (a,b) and (c,d) can be found using the formula ,
slope = (d - b)/(c -a)
Substituting the values in the formula ,
we get ,
slope = (1-0)/(6-0)
= 1/6
The equation of the line passing through the points (0,0) with slope as 1/6 is
0 = (1/6)(0) + c
c = 0 ,
we get , y = (1/6)x + 0
y = x/6
Therefore , the required line is y = x/6 .
The given question is incomplete , the complete question is
The region s in the uv plane which corresponds to r , what is the line through the points (0, 0) and (6, 1) ?
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