Average Minutes Per Night Spent On Homework
0 20
48 60
190
Average Minutes Per Night Spent Watching TV
0 10
20 30
50
11. What is the median for TV time?
12. What is the range of times that the middle 50% of the sophomores spend on TV per night?
13. What percent of the sophomores spend more than 30 minutes per night watc
The diameter of a circle is 5 centimeters. What’s the radius? Give the exact answer in simplest form
Answer:
2.5cm
Step-by-step explanation:
you half the diameter to get the radius
In the coordinate plane, a square has vertices (4, 3), (-3, 3), (-3, - 4). What is the location of the fourth vertex?
The two possible locations for the fourth vertex are (4, -4) and (-3, -1).
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form.
To find the location of the fourth vertex of the square, we need to use the fact that a square has four equal sides and four right angles.
The first two vertices given are (4, 3) and (-3, 3), which lie on a horizontal line segment of length 7.
The third vertex is (-3, -4), which is 7 units away from the first two vertices and lies on a vertical line segment.
Since the square has four equal sides, the distance between the third vertex and the fourth vertex must also be 7 units.
And since the square has four right angles, the fourth vertex must be located on a vertical line passing through the first two vertices or on a horizontal line passing through the third vertex.
So, there are two possible locations for the fourth vertex:
(4, -4): This point is located 7 units below the first vertex (4, 3) on the vertical line passing through it.
(-3, -1): This point is located 7 units to the right of the third vertex (-3, -4) on the horizontal line passing through it.
Therefore, the two possible locations for the fourth vertex are (4, -4) and (-3, -1).
To learn more about quadratic equations from the given link:
brainly.com/question/30098550
#SPJ1
An insurance company reported that 70% of all automobile damage claims were made by people under the age of 25. If 5 automobile damage claims were selected at random, determine the probability that exactly 4 of them were made by someone under the age of 25.
I need the method more than the answer, as detailed as possible, please.
There is a 0.00567 percent chance that 4 out of the 5 auto damage claims were submitted by individuals under the age of 25.
what is a binomial theorem?An expression that has been raised to any finite power can be expanded using the binomial theorem. A binomial theorem is a potent expansionary technique with uses in probability, algebra, and other fields.
A binomial expression is an algebraic expression with two terms that are not the same. For instance, a+b, a3+b3, etc.
Let n = N, x, y, R, then the binomial theorem holds.
(x + y)n = nΣr=0 where, nCr xn - r yr
what is a probability?The likelihood of an event happening is gauged by probability. Several things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening. The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty. A crucial subject for pupils in class 10, probability explains all the fundamental ideas of the subject. A sample space has an overall probability of 1 for all events.
This is a binomial probability problem, where each automobile damage claim is a Bernoulli trial with a probability of success (a claim made by someone under the age of 25) of p=0.70. We want to find the probability of getting exactly 4 successes out of 5 trials.
The probability of getting exactly k successes out of n trials in a binomial experiment with probability of success p is given by the binomial probability formula:
P(k successes out of n trials) = (n choose k) * [tex]p^k[/tex] * [tex](1-p)^(n-k)[/tex]
where (n choose k) = n! / (k! * (n-k)!) is the number of ways to choose k items out of n items.
In this case, we have n=5 and p=0.70. So, the probability of getting exactly 4 successes out of 5 trials is:
P(4 out of 5 claims made by someone under 25) = (5 choose 4) * [tex]0.70^4[/tex] *[tex](1-0.70)^(5-4)[/tex]
P(4 out of 5 claims made by someone under 25) = 5 * [tex]0.70^4[/tex] *[tex]0.30^1[/tex]
P(4 out of 5 claims made by someone under 25) = 0.00567 (rounded to 5 decimal places)
Therefore, the probability that exactly 4 of the 5 automobile damage claims were made by people under the age of 25 is approximately 0.00567.
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1
whats the answer to 102-38x14 divided by 7+162= help plss
Answer:
-2.5
Step-by-step explanation:
follow BIMDAS.
like my answer if you find it helpful
What is the average of these numbers?
45 46 50 52 51 59 55 51 42 44
51 55 60 62 52 54 47 74 52 52
59 52 65 45 58 59 59 52 54 65
PLEAE HELP ME!!! I need this quickly!
Find the exact value of the expressions cos(alpha + beta) sin(alpha + beta) and tan(alpha + beta) under the following conditions. sin(alpha) = 24/25 a lies in quadrant I, and sin(beta) = 15/17 B lies in quadrant II.
We can use the trigonometric identities to find the exact values of the expressions.
First, we can find cos(alpha) and cos(beta) using the Pythagorean identity:
cos(alpha) = sqrt(1 - sin^2(alpha)) = sqrt(1 - (24/25)^2) = 7/25
cos(beta) = -sqrt(1 - sin^2(beta)) = -sqrt(1 - (15/17)^2) = -8/17 (since beta is in quadrant II, where cosine is negative)
Next, we can use the sum formulas for sine and cosine to find sin(alpha + beta) and cos(alpha + beta):
sin(alpha + beta) = sin(alpha)cos(beta) + cos(alpha)sin(beta) = (24/25)(-8/17) + (7/25)(15/17) = -117/425
cos(alpha + beta) = cos(alpha)cos(beta) - sin(alpha)sin(beta) = (7/25)(-8/17) - (24/25)(15/17) = -24/85
Finally, we can use the quotient identity for tangent to find tan(alpha + beta):
tan(alpha + beta) = sin(alpha + beta) / cos(alpha + beta) = (-117/425) / (-24/85) = 39/85
Therefore, cos(alpha + beta) sin(alpha + beta) = (-24/85)(-117/425) = 936/7225, and tan(alpha + beta) = 39/85.
On the Y axis, we have the profit from the trucking company and on the X axis, we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. After this change what will happen to the x and y axis/slope?
A. Y intercept will be less and X will be less
B. Y intercept will be less and X intercept will be greater
C. Y intercept will be greater and X will be greater
D. Y intercept will be greater and X will be less
Answer:
B.
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
the description is very confusing and lacks any hint about the behavior of the curve before the change.
but ok, let's assume that the curve (line ?) is in general going up. in other words, if the traveled miles go up, so does the profit.
I also don't know how they could drive the miles without paying the driver, but again, let's assume they did.
now they pay the driver. $0.25 per mile.
this has to come out of their profit.
so, the Y (profit) values all go down by 0.25.
therefore, the y-intercept is going down too.
that eliminates C. and D.
for this to be true they have to have some overhead costs that apply even if there are 0 miles traveled (which is the meaning of the y-intercept : the y-value when x = 0).
so, the line must be in a form
y = ax + b
with "b" <> 0.
and since we assumed the line to go up (positive slope), a "sinking" line means that the x-intercept (the break-even point, where the line goes from below the x-axis and therefore negative (y) profit up into positive profit) will move to the right (become greater).
because now that they have additional costs (paying the driver), it takes longer (more driven miles) to make a positive profit.
and that eliminates A, leaving B. as the right answer.
The test scores of students on a science test are normally distributed with an average score of 78 and a standard deviation of 4. Which statement is true? Responses About 16% of the students scored 74 or below. About 16 percent of the students scored 74 or below. About 32% of the students scored 82 or above. About 32 percent of the students scored 82 or above. About 50% of the students scored 74 or above. About 50 percent of the students scored 74 or above. About 68% of the students scored 82 or below.
The statement "About 16% of the students scored 74 or below" is true for the given normal distribution of test scores with an average of 78 and a standard deviation of 4.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion of a set of values from their mean (average) value. It is calculated as the square root of the variance of a set of data. A smaller standard deviation indicates that the values are tightly clustered around the mean, while a larger standard deviation indicates that the values are more spread out.
In the given question,
About 16% of the students scored 74 or below is true. This is because of the empirical rule for normal distributions, which states that approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, if the average score is 78 and the standard deviation is 4, a score of 74 falls one standard deviation below the mean, which represents about 16% of the total data.
To know more about standard deviation, visit:
https://brainly.com/question/23992131
#SPJ1
Answer:
About 97.5% of the students scored 86 or below.
Step-by-step explanation:
The function g is related to one of the parent functions
g(x) = x^2 – 3
The parent function is:
f(x)= x^2
Use function notation to write g in terms of f.
We can write g in terms of f as: g(x) = f(x) - 3 = x² - 3
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.
To write g in terms of f, we can use function composition, which involves plugging the function f(x) into g(x) wherever we see x.
So, we have:
g(x) = f(x) - 3
where f(x) = x².
Substituting f(x) into g(x), we get:
g(x) = (x²) - 3
Therefore, we can write g in terms of f as:
g(x) = f(x) - 3 = x² - 3.
To learn more about functions from the given link:
https://brainly.com/question/12431044
#SPJ1
12. The length of a rectangle is 6 meters longer than the width. If the total area of the rectangle is 16m², find the dimensions of the rectangle.
Answer: Let's say that the width of the rectangle is x meters. Then, according to the problem, the length of the rectangle is 6 meters longer than the width, which means that the length is (x + 6) meters.
The formula for the area of a rectangle is:
Area = Length x Width
We are given that the total area of the rectangle is 16m². Substituting the expressions for length and width, we get:
(x + 6) x = 16
Expanding the product and rearranging, we get a quadratic equation:
x² + 6x - 16 = 0
We can solve this equation by factoring or by using the quadratic formula. Factoring, we get:
(x + 8) (x - 2) = 0
This equation is satisfied when either x + 8 = 0 or x - 2 = 0. Therefore, the possible values for the width are x = -8 or x = 2. However, since the width of a rectangle cannot be negative, we reject the solution x = -8.
Therefore, the width of the rectangle is x = 2 meters. The length is 6 meters longer than the width, so the length is (2 + 6) = 8 meters.
Therefore, the dimensions of the rectangle are 2 meters by 8 meters.
Step-by-step explanation:
(01.08)
Let f(x) = 3x² + x - 3 and g(x) = x² - 5x +
1. Find f(x) - g(x).
Answer:
f(x) - g(x) = 2x² + 6x - 4
Step-by-step explanation:
f(x) - g(x)
= 3x² + x - 3 - (x² - 5x + 1) ← distribute parenthesis by - 1
= 3x² + x - 3 - x² + 5x - 1 ← collect like terms
= 2x² + 6x - 4
Calculate Volume of Air passing through Filter HEPA Filter 100ft/min *- Airflow 4ft 2ft Volume = Filter Area x Airflow Velocity
The volume of air passing through the filter is 800 cubic feet per minute. It is calculated by multiplying the air flow speed (100ft/min) by the area of the filter (8ft²).
Explanation:The volume of air passing through the HEPA filter can be calculated using the formula for the speed of air flow multiplied by area. The speed of the air flow is given as 100ft/min and the area of the filter is given as 4ft x 2ft, which equals 8 square feet. Therefore, the volume of the air passing through the filter can be calculated as 8ft2 x 100ft/min = 800 cubic feet per minute.
Learn more about Air Volume Calculation here:https://brainly.com/question/34222506
#SPJ2
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6
. In an earlier study, the population proportion was estimated to be 0.33
.
How large a sample would be required in order to estimate the fraction of people who black out at 6
or more Gs at the 95%
confidence level with an error of at most 0.03
? Round your answer up to the next integer.
We need to select at least 754 people for the experiment to estimate the fraction of people who black out at G forces greater than 6 with an error of at most 0.03 and a 95% confidence level.
How to determine how large a sample would be required in order to estimate the fraction of people who black out at 6or more Gs
We can use the formula for the sample size required to estimate a population proportion with a specified margin of error and confidence level:
n = (Z^2 * p * (1-p)) / E^2
where:
Z = the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of 1.96)
p = the estimated population proportion from the earlier study
E = the desired margin of error
Substituting the given values, we get:
n = (1.96^2 * 0.33 * (1-0.33)) / 0.03^2
n = 753.69
Rounding up to the next integer, we need a sample size of 754. Therefore, we need to select at least 754 people for the experiment to estimate the fraction of people who black out at G forces greater than 6 with an error of at most 0.03 and a 95% confidence level.
Learn more about sample size at https://brainly.com/question/30123000
#SPJ1
please help fill in these..
Answer:
Vertex: (-2, -1)
Axis of Symmetry: x = -2
Y-intercept: (0, 3)
Min/Max: Min
Domain: All Real
Range: y ≥ -1
Step-by-step explanation:
Given the graph:
Vertex is the intersection of the axis of symmetry and the max/min value.Axis of Symmetry is the line that equally divides an object into two halves.Y-intercept is when the line crosses the y-axis and can be found when x is equal to zero.Min is the lowest value and max is the highest value.Domain is all of the x-values that work in the function.Range is all of the y-values that work in the function.Answer:
So, the answers to the question is:
Vertex: (-2, -1)
Axis of Symmetry: x = -2
Y-intercept: (0, 3)
Min/Max: Min
Domain: All Real
Range: y ≥ -1
What is M in triangle properties
I hope this helps you.
Create a Truth Table for
A ⋀ ~B
By answering the presented question, we may conclude that Finally, the expressions fourth column represents the value of the expression A ⋀ ~B for each possible combination of truth values of A and B.
how can we create truth table?To create a truth table for A ⋀ ~B, we first need to list all possible combinations of truth values for A and B, and then calculate the value of the expression A ⋀ ~B for each combination.
A B ~B A ⋀ ~B
True True False False
True False True True
False True False False
False False True False
In the above truth table, the first column lists all possible truth values of A, and the second column lists all possible truth values of B. The third column represents the negation of B, which is denoted as ~B. Finally, the fourth column represents the value of the expression A ⋀ ~B for each possible combination of truth values of A and B.
Therefore, the truth table for A ⋀ ~B is:
A B A ⋀ ~B
True True False
True False True
False True False
False False False
To know more about truth table visit :-
https://brainly.com/question/31482105
#SPJ1
PLEASE HELP !!
(Do not guess please and thank you )
Step-by-step explanation:
A = π r²
r = 3 inches
A = 3.14 × (3)²
A = 3.14 × 9
A = 28.29 square inches
A rectangular solid has edges that are 10, 8, and 3 units long.
1. Draw the solid, showing the 10 x 8 face as the base. Find:
a. The lateral area
b. The total area
c. The volume
2. Repeat Exercise 1, but show the 10 x 3 face as the base.
a.
b.
c.
We are adjusting the original rectangular solid and here is what we have:
1. Rectangular solid showing 10x8 face as the base(a) The lateral area is the sum of the areas of the four sides, which are all rectangles. The two sides with dimensions 8 x 3 have an area of 8 x 3 = 24 square units each, and the two sides with dimensions 10 x 3 have an area of 10 x 3 = 30 square units each. Therefore, the lateral area is:
2(24) + 2(30) = 48 + 60 = 108 square units
(b) The total area is the sum of the areas of all six faces. The two faces with dimensions 10 x 8 have an area of 10 x 8 = 80 square units each, the two faces with dimensions 8 x 3 have an area of 8 x 3 = 24 square units each, and the two faces with dimensions 10 x 3 have an area of 10 x 3 = 30 square units each. Therefore, the total area is:
2(80) + 2(24) + 2(30) = 160 + 48 + 60 = 268 square units
(c) The volume is the product of the length, width, and height of the rectangular solid. Therefore, the volume is:
10 x 8 x 3 = 240 cubic units
Learn more about rectangular solid here:
https://brainly.com/question/28123312
#SPJ1
a softball has a volume of about 33.5 in3. what is the diameter of the ball?
Answer:
4
Step-by-step explanation:
The equation for the volume of a sphere is [tex]\frac{4}{3}[/tex][tex]\pi r^3[/tex].
[tex]\frac{4}{3} \pi r^3 = 33.5[/tex]
[tex]r^3 = \frac{33.5*3}{4\pi} \\r = \sqrt[3]{\frac{33.5*3}{4\pi} }\\r = 2\\2 * r = 2 * 2 = 4[/tex]
Peanuts sell for Php 10.00 per gram. Cashews sell for Php 8.00 per gram. How many grams of cashews should be mixed with 12 g of peanuts to obtain a mixture that sells for Php 9.00 per gram?
PEANUTS CASHEWS MIXTURE Number of Grams (g) 12 X 12+ X Price per grams Php 10.00 Php 8.00 Php 9.00 Total Price Phn10x12 = Php 120 8x 9 [12+x]
Answer:
Phn10x12
Step-by-step explanation:
PEANUTS CASHEWS MIXTURE Number of Grams (g) 12 X 12+ X Price per grams Php 10.00 Php 8.00 Php 9.00 Total Price Phn10x12 = Php 120 8x 9 [12+x]
Hurry help Greg plants a seed and as soon as the plant sprouts, he measures its height each day and records his data for two weeks. If the plant continues to grow the whole two weeks, what would a line graph of Greg's data look like?
It would be flat.
It would move downward.
It would go up and down.
It would move upward.
The line graph of Greg's data wood look like "It would move upward."
What is graph?A graph is a visual representation of data that shows the relationship between two or more variables. There are several types of graphs that can be used to display data
If Greg is measuring the height of the plant each day and the plant is continuing to grow for two weeks, then the line graph of his data would move upward. The graph would show an increasing trend as the plant grows taller each day. Therefore, the correct answer is "It would move upward."
To know more about graph visit:
https://brainly.com/question/29629845
#SPJ1
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 8 m and a diameter of 10 m. The container will be made from steel (including its top and bottom). Suppose the total cost of the steel will be $13,062.40. How much will the steel cost per square meter? Use 3.14 for it, and do not round your answer.
The per square meter cost of steel will be $32. The solution has been obtained by using the cylinder.
What is a cylinder?
The cylinder, one of the most basic curvilinear geometric shapes, has long been considered to be a three-dimensional solid. It is regarded as a prism with a circle as its basis in elementary geometry.
We are given that the height of cylinder is 8 m and diameter is 10 m.
So, the radius is 5 m.
Now, using the surface area formula, we get
⇒ S = 2πrh + 2π[tex]r^{2}[/tex]
⇒ S = 2π * 5 * 8 + 2π * [tex]5^{2}[/tex]
⇒ S = 2 * 3.14 * 5 * 8 + 2 * 3.14 * 25
⇒ S = 251.2 + 157
⇒ S = 408.2 square meter
Now, it is given that the total cost of the steel will be $13,062.40.
So, per square meter cost will be:
⇒ Cost = [tex]\frac{13,062.40}{408.2\\}[/tex]
⇒ Cost = $32
Hence, the per square meter cost of steel for the cylinder will be $32.
Learn more about cylinder from the given link
https://brainly.com/question/27440983
#SPJ1
Cylinder M and cylinder N are similar. The radius of cylinder N is equal to its height, and the ratio of the height of cylinder N to the height of cylinder M is 5: 3. The surface area of cylinder N is 256 square feet greater than the surface area of cylinder M. Find the surface area of each cylinder.
The surface area of cylinder M is approximately 131.95 square feet and the surface area of cylinder N is approximately 319.77 square feet.
What is a cylinder?
A cylinder is a three-dimensional geometric shape that consists of two congruent parallel bases in the shape of circles or ellipses, and a curved surface that connects the bases. The height of a cylinder is the perpendicular distance between the bases. A cylinder is a type of prism, and it can be classified as either a right cylinder or an oblique cylinder depending on whether or not its axis is perpendicular to its bases. Right cylinders have circular bases and their axis is perpendicular to the bases, while oblique cylinders have elliptical bases and their axis is not perpendicular to the bases.
Now,
Let the radius of cylinder M be r and its height be h. Then, the radius and height of cylinder N are both 2r, since the radius is equal to the height.
Since the cylinders are similar, their dimensions are proportional, which means:
(height of N) / (height of M) = 5/3
(radius of N) / (radius of M) = (2r) / r = 2
Using the formula for the surface area of a cylinder, we can write:
Surface area of cylinder M: 2πr² + 2πrh
Surface area of cylinder N: 2π(2r)² + 2π(2r)(5/3)h
We are told that the surface area of cylinder N is 256 square feet greater than the surface area of cylinder M. So we can set up the equation:
2π(2r)² + 2π(2r)(5/3)h = 2πr² + 2πrh + 256
Simplifying and solving for h, we get:
4r² + 20rh/3 = r² + rh + 128
3r² - rh - 128 = 0
(3r + 32)(r - 4) = 0
Since the height of the cylinder cannot be negative, we take the positive solution r = 4. Then, the height of cylinder M is (3/5)(4) = 12/5, and the height of cylinder N is 2(4) = 8.
Using the formulas for surface area, we can find the surface areas of both cylinders:
Surface area of cylinder M: 2π(4)² + 2π(4)(12/5) = 131.95 square feet
Surface area of cylinder N: 2π(2(4))² + 2π(2(4))(8) = 319.77 square feet
Therefore, the surface area of cylinder M is approximately 131.95 square feet and the surface area of cylinder N is approximately 319.77 square feet.
To know more about cylinder visit the link
brainly.com/question/16134180
#SPJ1
the equation of a parabola is f(x)=x^2-4x-5
the axis of symmetry is x = ?
the vertex of the parabola is (?,?)
You have a bag with 4 red marbles, 3 green marbles, 2 blue marbles, and 1 purple marble. What is the probability of drawing a red marble out of the bag?
Answer:
40%
Step-by-step explanation:
We Know
You have a bag with 4 red marbles, 3 green marbles, 2 blue marbles, and 1 purple marble.
4 + 3 + 2 + 1 = 10 marbles total
What is the probability of drawing a red marble out of the bag?
We Take
(4 ÷ 10) x 100 = 40%
So, 40% of drawing a red marble out of the bag.
Could i get help on this pla
Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
Calculating the area of the cellphoneFrom the question, we are to calculate the area of the cellphone shown in the diagram
From the given information,
We have a diagram that shows a cellphone which is rectangular in shape.
Thus,
We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.
Area of a rectangle = Length * Width
From the given information,
Length of the cellphone = 6x²y⁶
Width of the cellphone = 3x⁻³y²
Thus,
Area of the cellphone = 6x²y⁶ × 3x⁻³y²
Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²
Area of the cellphone = 18 × x⁻¹ × y⁸
Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x
Hence,
The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
Learn more on Calculating area here: https://brainly.com/question/25292087
#SPJ1
A savings account earns an interest rate of 1.625 % compounded quarterly for an account with an initial deposit of $ 2 , 225 . How much money will be in the account after 6 years? Round your answer to the nearest hundredth.
The balance in the account after 6 years is $2,466.69.
What is compound interest?
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
We can use the formula for compound interest to find the balance in the savings account after 6 years:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
where:
A is the balance in the account after t years
P is the initial deposit, which is $2,225
r is the annual interest rate, which is 1.625%
n is the number of times the interest is compounded per year, which is 4 (since it's compounded quarterly)
t is the number of years, which is 6
Plugging in these values, we get:
[tex]A = 2,225(1 + 0.01625/4)^{(4*6)}\\A = 2,225(1.0040625)^{24}[/tex]
A = 2,225(1.108227)
A = 2,466.69
Hence, the balance in the account after 6 years is $2,466.69.
To learn more about compound interest visit:
https://brainly.com/question/3989769
#SPJ1
1. You go to the ice cream shop with your friends and you can choose an ice cream, a topping
and sprinkles. How many different sundaes can you make when you order one flavor of ice
cream, one topping and one color of sprinkles from the chart below? Show all possible
outcomes in a tree diagram.
Ice Cream
Chocolate
Vanilla
Strawberry
Topping
Fudge
Marshmallow
Sprinkles
Chocolate
Rainbow
How many sample spaces are there? HINT: How many possible combinations?
b. P (Chocolate, Fudge, Rainbow)
Answer:
Step-by-step explanation:
Answer:
You can make 12 possible sundaes with these toppings.
Step-by-step explanation:
Chocolate, Vanilla, and Strawberry all have 4 possible outcomes:
1. Fudge & Chocolate Sprinkles
2. Fudge & Rainbow Sprinkles
3. Marshmallow & Chocolate Sprinkles
4. Marshmallow & Rainbow Sprinkles
-------------------------------------------------------------------------------------------------------------
4 x 3 will equal 12, the total possible sundaes you can make with these toppings and ice cream flavors.
330 men took 30 days to finish a work then how many men will be required to finish the same work in 11 days...???
In your birthday party there was food for 20 friends for 2 hours but 30 friends attened the party. Till how long did the food last...???
Step-by-step explanation:
data given
men 330 ,days30
men? ,days11
from
men(m) are inversely proportional todays (d)
m=k/d
330×30=k
k=9900
now,
m=9900/11m
m=900
data given
friends 20, time 2hours
friends 30, time?
from
friends (f) are inversely proportional to time (t)
f=k/t
k=20×2
k=40
now,
t=40/30
t=1.3(1:18)
answer ,men required are900answer the food will last for1:18Determine which relation is a function.
A: {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)}
B: {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)}
C: {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)}
D: {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
The relation that is a function is D: {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}.
What is a relation?A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, for a relation to be a function, each input can only be related to one output.
In relation D, each input (x-value) has a unique output (y-value), meaning that each x-value is only paired with one y-value. In contrast, relations A, B, and C have repeated x-values with different y-values, which means that they are not functions.
In relation A, the input -1 is paired with two different outputs (2 and 3). In relation B, both inputs 0 and -1 are each paired with two different outputs. In relation C, both inputs 0 and -3 are each paired with two different outputs. Therefore, only relation D satisfies the definition of a function.
More on relation can be found here: https://brainly.com/question/18790700
#SPJ1