There are 55 balloons at a party, 25 blue and 30 green. What is the ratio of
blue balloons to green balloons at the party?
Answers
Answer: 5:6
Explanation: We have 55 balloons. So, that means we must figure out a common factor between 25 and 30. That means the only factor is 5. So, that means after each 5 blue balloons there will be there will be 5 green balloons.
Related Questions
If the measures, in degrees, of the three angles of a triangle, are x, x+10, and 2x-6, the triangle must be:A. RightB. Equilateral,C. ScaleneD. Isosceles
Answers
The triangle is a scalene triangle.
The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:
x + x + 10 + 2x - 6 = 180
This simplifies to,
4x + 4 = 180,
or 4x = 176, or x = 44
Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.
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Given the vectors:
x1 =x2 =x3 =
What is the dimension of Span(x1,x2, x3)?
Please give a detailed proof of solution. Thank you!
Answers
The dimension of Span(x1, x2, x3) is zero.
How to find the dimension of Span?The dimension of the span of a set of vectors is the number of vectors in a basis for that span. A basis is a linearly independent subset of vectors that span the same space as the original set.
In this case, we have:
x1 = x2 = x3 = [0, 0, 0]
Since all three vectors are identical and equal to the zero vector, any linear combination of them will also be the zero vector. That is:
c1x1 + c2x2 + c3x3 = (c1 + c2 + c3)[0, 0, 0] = [0, 0, 0]
Therefore, the set {x1, x2, x3} is linearly dependent and does not form a basis for the span of these vectors.
In fact, the span of these vectors consists only of the zero vector.
So, the dimension of Span(x1, x2, x3) is zero, since there are no linearly independent vectors in this span.
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a radio station gives a pair of concert tickets to the th correct caller who knows the birthday of the performer. for each person who calls, the probability is of knowing the performer's birthday. all calls are independent. define to be the number of calls needed to find a winner. (a) is a random variable. that is, identify the type of random variable and its parameter(s). (b) what is the probability that the th caller wins the tickets? (c) what is the probability that the station will need or more calls to find a winner?
Answers
The likelihood that the station will need 13 or more calls to determine a winner is 0.5 because each call is independent.
What is independent?Events A and B are considered to be independent events if their likelihood of occurring does not change as a result of the possibility that A will occur. P(A) = P(AB) = 1/2, which suggests that the likelihood of event. A occurring has not changed as a result of event B's happening. A pair of occurrences is considered independent if the occurrence of one does not change the likelihood that the other will also occur. The likelihood of both A and B happening is equal to the product of the probabilities of A and B (i.e., P), which is how mathematics expresses the independence of events A and B. (A and B)To learn more about independent, refer to:
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The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the surface area of the cuboid?
Answers
Answer:
202 cm^2
Step-by-step explanation:
SA = 2LW + 2LH + 2WH
SA = 2(4 cm)(5 cm) + 2(4 cm)(9 cm) + 2(5 cm)(9 cm)
SA = 40 cm^2 + 72 cm^2 + 90 cm^2
SA = 202 cm^2
5. 2,4,8, 16,...
Recursive:
Explicit
Answers
Answer:
Recursive: \(x_n=2(x_{n-1})\)
Explicit: \(x_n=2(2)^{n-1}\)
Step-by-step explanation:
First, note that this is a geometric sequence. This is because each term is 2 times its previous term.
The standard recursive form for a geometric sequence is:
\(x_n=r(x_{n-1})\)
Where n is the nth term, so n-1 is the previous term, and r is the common ratio.
Substitute 2 for r.
Therefore, our recursive formula is:
\(x_n=2(x_{n-1})\)
The standard form of the explicit formula for geometric sequences is:
\(x_n=ar^{n-1}\)
Again, r is the common ratio and a is the initial term.
The common ratio is 2 and the initial term is 2. So, substitute:
\(x_n=2(2)^{n-1}\)
And that's our explicit formula.
And we're done!
8 months is – percent of 2 years
Answers
Answer:
33.33%
Step-by-step explanation:
since there are 12 months in a year, that means there are 24 months in 2 years
8/24 = 1/3
Just multiply a fraction by 100% to convert it to percentage form.
100*1/3
33.33%
to check if correct
33.33% × 24 = 7.9992 or 8
7.9992 rounded to the nearest whole number is 8
Write an inequality for the situation: the sum of two numbers is less than 5.
Answers
The relationship between the number of months and cumulative cell phone cost is represented by the scatter plot shown.
Cumulative Cost
600
500
2 400
Cumulative Cell Phone Cost (dollars)
(10, 504)
(9,470)
(8,418).
(7, 361)
(6, 324)
.(5, 253)
(3, 162) •(4, 196)
300
200
100+(1,55) (2, 108)
8
9
10
Number of Months
A line of best fit for this data is C = 51m + 4.4, where is the cumulative cell phone cost and m is the number of months.
Using this data, which value is the best prediction of the cumulative cell phone cost after 18 months?
Answers
Answer:
C. $940
Step-by-step explanation:
Answer:
$940
Step-by-step explanation:
Which explains how the table can be used to predict the cost of any number of students attending the game?
A.The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
B. The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
C. The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x-column.
D.The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y-column.
Answers
Answer:
The answer is B
Step-by-step explanation:
The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
Amanda is building a soft triangular kennel for her dog. she has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. determine which planks amanda should use to build the triangular-shaped kennel. enter the lengths from least to greatest. a triangular kennel made of carpet-covered planks
Answers
Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To determine which planks Amanda should use to build the triangular-shaped kennel:
To build a kennel for dog, we would try to make it the largest possible with what we have.So, we would go with the 3 longest planks: 3ft, 5ft, and 6ft.By looking at the length, we see that we could make something very close to a right triangle since we could use the 6ft as a hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equals 34).That means our corner angle would be slightly over 90 degrees.Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
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The wingspan of an airplane is 197 feet. A model of this airplane uses a scale of 5 inches equals 40 feet. What is the wingspan of the model airplane?
Answers
Answer:
24.625 feet
Step-by-step explanation:
The wingspan of the model airplane is given by the proportion equation
A = 24.625 inches
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the wingspan of the model airplane be A
Now , the equation will be
The wingspan of an airplane is 197 feet
For a scale of 5 inches equals 40 feet
So , the equation will be
5 : 40 : : A : 197
On simplifying the proportion , we get
5 / 40 = A / 197
Multiply by 197 on both sides of the equation , we get
A = ( 5 x 197 ) / 40
A = 985 / 40
A = 24.625 inches
Therefore, the value of A is 24.625 inches
Hence , the wingspan of airplane is 24.625 inches
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Katie works for a company that designs children’s playhouses. The diagram shows her design for a new playhouse. Katie can select the color of the plastic used to make the playhouse. Panels can be cut from 14-ft by 14-ft sheets of plastic.
Play house is made of triangular prism which is placed up on a rectangular prism. The dimension of rectangular prism are length 13.2 ft, width 13.2 ft and height 6.6 ft. The dimension of triangular prism are slant height 8.8 ft and base same as the length of the rectangle.
Part A
How many sheets of plastic will Katie need? Explain.
Answers
Answer:
1029384rymajjdkcjvj
You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
Answers
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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how to do this question plz
Answers
Answer:
Alan= £4.20, Connor= £2.50
Step-by-step explanation:
Please see the attached picture for full solution.
what is the area principle? the area principle says that when images are used to compare amounts, the areas of the images should be proportional to the amounts. the images should be different for each amount. the area of the background should be clean and white, with no distractions. the images should be polygons, making it easier to assess the area.
Answers
The area principle is a fundamental concept in data visualization that states that the size of a graphical element (such as a bar, a pie slice, or a bubble) should be proportional to the quantity it represents.
In other words, the area of the graphical element should accurately reflect the magnitude of the data it is displaying. This principle is particularly important when comparing quantities, as it allows the viewer to quickly and accurately perceive the relative differences between them. For example, if two bars in a bar chart have the same width but different heights, the viewer may be misled into thinking that the two quantities are closer in magnitude than they actually are.
The area principle is often applied in conjunction with other principles of good data visualization, such as using clear and simple designs, avoiding clutter, and choosing appropriate scales and units. The goal is to create visualizations that are not only aesthetically pleasing but also informative and effective in communicating the underlying data.
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f(x). - graph with a line going through (-2.8) and (-4,0)
g(x) = 3x - 4
h(x)
Kelly had 4 apples
in her kitchen on
Monday. On
Tuesday, only 1
was left.
x. j(x)
-2. -2
2. 10
6. 22
Compare and contrast these four functions using complete sentences. Focus on the
slope and y-intercept first, and then on any additional properties of each function.
(10 points)
Answers
One possibility could be :
y = x - 3
wherein:
x : number of apples on Monday
y : number of apples on Tuesday, the day after
Hope I helped you! :)
Have a great day/night!!
Use the perpendicular slope 1/2 and the point
(-3,2) to find the equation of the line
y = -2x + 12
y = 1/2x + 1
y = 1/2x + 5
y = 1/2x +3.5
Answers
Answer:
4th option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given m = \(\frac{1}{2}\) , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (- 3, 2 ) into the partial equation
2 = - \(\frac{3}{2}\) + c ⇒ 2 + \(\frac{3}{2}\) = \(\frac{7}{2}\) = 3.5
y = \(\frac{1}{2}\) x + 3.5 ← equation of line
Select the equivalent expression.
(72.56)* = ?
Choose 1 answer:
А
76.524
B
78.510
78.524
(D) 7.5
Answers
Answer:
C
Step-by-step explanation:
7²×⁴=7⁸ 5⁶×⁴=5²⁴Thus 7⁸ . 5²⁴All of them , please and thank you
Answers
Excluded Value: k=-10
2) Simplified: 4/k-8
Excluded Values: k=-4, k=8, k=4
3) Simplified: 10/9m
Excluded Values: m=0, m=-3
4) Simplified: a-3
Excluded Values: a=1, a=2, a=6
5) Simplified: 3/4
Excluded Value: y= 0
6) Simplified: 4-3x/2x
Excluded Values: X=0
For a given input array A:⟨3,2,1,6,4,8,5,9,7⟩, what is the sequence of numbers in A after calling Build-Max-Heap (A) ? (please show the intermediate trees). (b) (6 points) For a given input array A:⟨7,6,4,10,1,8,9,2,5⟩, what is the sequence of numbers in A after the first partition (by calling Partition (A,1,9) )? Note that 1 and 9 in Partition (A,1,9) function call are array indexes.
Answers
(a) The sequence of numbers in array A after calling Build-Max-Heap is ⟨8, 6, 3, 2, 4, 1, 5, 9, 7⟩.
(b) The sequence of numbers in array A after the first partition (Partition(A, 1, 9)) is ⟨4, 1, 2, 5, 6, 8, 9, 10, 7⟩.
(a) To build a max heap from the given array A: ⟨3, 2, 1, 6, 4, 8, 5, 9, 7⟩, we can follow the steps of the Build-Max-Heap algorithm:
1. Start with the given array A.
Tree: 3
/ \
2 1
/ \ / \
6 4 8 5
/ \
9 7
2. Starting from the last non-leaf node (index n/2 - 1) and going up to the root (index 0), perform Max-Heapify operation for each node.
Max-Heapify ensures that the maximum element is at the root of the subtree rooted at the current node.
Max-Heapify(A, 2):
Tree: 3
/ \
2 8
/ \ / \
6 4 1 5
/ \
9 7
Max-Heapify(A, 1):
Tree: 3
/ \
6 8
/ \ / \
2 4 1 5
/ \
9 7
Max-Heapify(A, 0):
Tree: 8
/ \
6 3
/ \ / \
2 4 1 5
/ \
9 7
3. After performing Max-Heapify for all nodes, the resulting array will be:
A: ⟨8, 6, 3, 2, 4, 1, 5, 9, 7⟩
(b) To perform the first partition on the array A: ⟨7, 6, 4, 10, 1, 8, 9, 2, 5⟩ using Partition(A, 1, 9), we can use the Lomuto partition scheme. The first partition is performed as follows:
1. Select the pivot element. In this case, we choose the element at index 1 (6) as the pivot.
2. Reorder the elements in A such that all elements less than or equal to the pivot are on the left side, and all elements greater than the pivot are on the right side.
After the partition:
A: ⟨4, 1, 2, 5, 6, 8, 9, 10, 7⟩
The sequence of numbers in array A after the first partition is: ⟨4, 1, 2, 5, 6, 8, 9, 10, 7⟩.
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Complete Question:
If 5=a^x, then 5/a=?
Answers
Answer:
Step-by-step explanation:
To find the expression for 5/a, you first need to solve the equation 5=a^x for a. To solve for a, raise both sides of the equation to the 1/x power.
5=a^x
5^(1/x)=(a^x)^(1/x) (now multipy exponents)
5^(1/x)=a (x*1/x = 1 - the exponent on a)
Now that the equation is solved for a, substitute the left side of the equation into 5/a. So,
5/a = 5/5^(1/x) (since the bases are the same, 5, subtract the exponents; note that the exponent in the numerator = 1)
5/a = 5^(1 - 1/x) (subtract by getting lcd, x)
5/a = 5^((x-1)/x)
Just to show you that this works: Let a = 25 and x = 1/2.
We know that 5 = a^x = 25^(1/2) = sqrt(25)=5.
Now, 5/a should equal 5/25 = 1/5, so let's plug the numbers into the new expression.
5/a = 5^((.5-1)/.5) (I'm using .5 instead of 1/2 so it's not so many parentheses.)
The test statistic value calculated by the statistical procedure selected is known as the?
Answers
The test statistic value calculated by the statistical procedure selected is known as the T-test.
What is a T-test?
The mean difference between two sets of observations is zero using the T-test, also known as the dependent sample t-test. When the population standard deviation is unknown, the student's t-test is a statistical tool for assessing assumptions about the mean of a small sample taken from a normally distributed population.
Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Therefore, the test statistic value calculated by the statistical procedure selected is known as the T-test.
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If Q is directly proportional to P and Q = 28 when P = 4,
(i) express Q in terms of P
(ii) find the value of Q when P = 5
(iii) Calculate the value of P when Q = 42.
Topic: Direct Proportions.
Answers
Answer:
see explanation
Step-by-step explanation:
given Q is directly proportional to P then the equation relating them is
Q = kP ← k is the constant of proportion
(i)
to find k use the condition Q = 28 when P = 4
28 = 4k ( divide both sides by 4 )
7 = k
Q = 7P ← equation of proportionality
(ii)
when P = 5 , then
Q = 7 × 5 = 35
(iii)
when Q = 42 , then
42 = 7P ( divide both sides by 7 )
6 = P
a bag contains red balls, green balls, and yellow balls. if balls are drawn one at a time without replacement, the probability that the first yellow ball is drawn on the eighth draw is , what is the value of ?
Answers
The probability of drawing the first yellow ball on the eighth draw is 1/2772.
The probability of drawing a yellow ball on the eighth draw is the probability of drawing 7 non-yellow balls followed by a yellow ball.
The probability of drawing a non-yellow ball on the first draw is 7/12 since there are 7 non-yellow balls out of a total of 12 balls in the bag. After the first non-yellow ball is drawn, there will be 6 non-yellow balls left out of a total of 11 balls. So the probability of drawing a non-yellow ball on the second draw is 6/11. Continuing in this manner, the probability of drawing 7 non-yellow balls in a row is
(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6)
Now, there are 5 yellow balls left out of a total of 5 + 7 + 3 = 15 balls. So the probability of drawing a yellow ball on the eighth draw is 5/15.
Therefore, the probability of drawing the first yellow ball on the eighth draw is
(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6) × (5/15)
Simplifying this expression, we get
(7 × 6 × 5 × 4 × 3 × 2 × 1 × 5) / (12 × 11 × 10 × 9 × 8 × 7 × 6 × 15)
which simplifies to:
1/2772
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The given question is incomplete, the complete question is:
A bag contains 3 red balls, 4 green balls, and 5 yellow balls. If balls are drawn one at a time without replacement, what is the probability that the first yellow ball is drawn on the eighth draw?
in a bag of marbles, 1 2 are red, 1 4 are blue, 1 6 are green, and 1 12 are yellow. you pick a marble without looking. what color marble are you most likely to choose?
Answers
Calculate the circumference and area of this circle.
Answers
Answer:
circumference 69.08 area 379.94
Step-by-step explanation:
What is the slope-intercept equation
for the following line
Answers
Answer:
-1/3x+1
Step-by-step explanation:
rise over run is negative
Answer:
The answer is -1/3x +1 :)
Step-by-step explanation:
Only number 12 plz I’ll give brainliest(ASAP)
Answers
Answer:
120 m/h
120 m/(3600 seconds)
(1/3)m/s
15 * (1/3) = 5
He travels 5 miles in 15 seconds
Step-by-step explanation:
find the equation for (a) the tangent plane and (b) the normal line at the point p0(2,0,2) on the surface 2z−x2=0.
(a) The equation for the tangent plane is
nothing.
(b) Find the equations for the normal line.
xequals=nothing,
yequals=nothing,
zequals=nothing
Answers
(a) The equation for the tangent plane at point P₀(2,0,2) on the surface 2z−x²=0 can be found by taking the partial derivatives of the surface equation with respect to x, y, and z at point P₀.
Then we can use these derivatives to construct the equation of a plane in the form of Ax + By + Cz + D = 0.
(b) To find the equations for the normal line, we first need to determine the normal vector to the tangent plane at point P₀. The normal vector will have components equal to the coefficients of x, y, and z in the equation of the tangent plane. Once we have the normal vector, we can write the parametric equations of the normal line using the coordinates of point P₀.
It seems that the equation for the tangent plane and the equations for the normal line are missing from the provided options. Without the specific equations, it is not possible to provide the exact values for x, y, and z in the equations for the normal line.
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\(x^{-1}\)×\(x^{3}\)=\(x^{2}\) true or false
Answers
When multiplying exponents with the same base you add the exponents
-1+3=2