The number of different topping combination illustrates combination
Ross have 6 different topping combination to select from
The number of different combinationThe given parameters are:
Extra toppings, n = 4
Toppings to select, r = 2
The number of extra topping that Ross can select is then calculated using the following combination formula
Toppings = nCr
This gives
Toppings = 4C2
Evaluate the combination expression
Toppings = 6
Hence, Ross have 6 different topping combination to select from
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What does the yellow triangle with the exclamation point mean?
The exclamation point in the middle of a yellow triangle is a warning icon that may be seen on a variety of gadgets and software, including Windows PCs and Android smartphones.
It often serves as a signal for a problem or issue that needs addressing. Depending on the context in which it occurs, a symbol's precise meaning may change.
On a Windows computer, for instance, it can mean that a device driver needs to be updated, but on an Android phone, it might mean that a system update or an app has a bug that needs to be fixed.
Investigate the origin of the alert and take the necessary steps to resolve any problems that could be impacting your system or device.
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At school, 40% of the sixth grade students said that hip hop was their favorite kind of music. If 100 sixth grade students prefer hip hop music how many sixth graders are at the school
If 100 sixth grade students prefer hip hop music, the number of sixth graders at the school is 250.
How many sixth graders are at the school?Percentage is a measure of frequency that is used to express a number as as a fraction of 100. In order to change a value to percentage, multiply the number by 100. The sign that represents percentage is %.
In order to determine the number of sixth graders, divide the number of sixth graders that prefer hip hop music by the percentage.
Number of sixth graders = number that prefer hip hop / percentage
100 / 40%
100 / 0.4 = 250
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a bag contains 6 white marbles and 4 black marbles. a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a black marble on the second?
Answer:
4/15
Step-by-step explanation:
Probability = 6/10 x 4/9 = 4/15
Topic: Probability
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The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of drawing a white marble on the first draw, followed by a black marble on the second = (number of white marbles / total number of marbles) x (number of black marbles / total number of marbles - 1)
6/10 x 4/9 = 24/90 = 4/15
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the price paid for $60 jeans after a 35% discount is applied
Answer:
$39
Step-by-step explanation:
Price of a jeans = $60
Discount coupon = 35%
New price of the jeans,
\(P=60-60\times \dfrac{35}{100}\\\\=60-21\\\\=\$39\)
So, the new price after the discount is $39.
Give the slope and the y-intercept of the line y=-6x-2 Make sure the y-intercept is written as a coordinate. This means the y-intercept must be in the form (0,b)
In summary, the slope of the line is -6, and the y-intercept is (0, -2).
To find the slope and y-intercept of the line y = -6x - 2, we can compare it to the slope-intercept form of a linear equation, which is y = mx + b. In this form, "m" represents the slope, and "b" represents the y-intercept.
For the given equation y = -6x - 2:
1. Identify the slope (m): The coefficient of the x term, which is -6, represents the slope. Therefore, the slope (m) is -6.
2. Identify the y-intercept (b): The constant term, which is -2, represents the y-intercept. To express the y-intercept as a coordinate (0, b), substitute 0 for the x value. So the y-intercept coordinate is (0, -2).
In summary, the slope of the line is -6, and the y-intercept is (0, -2).
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Which of the following values make the inequality x≤16.3 true
a 18.5
b 8
c 1/4
d 32
e −3
f 16.3
Answer:
(b), (c) (e) (f)
Step-by-step explanation:
(b), (c) and (e) are all less than 16.3
(f) 16.3 = 16.3 and thus satisfies 16.3 ≤ 16.3
Identify the domain and range of the function domain
The term "domain" refers to a group of potential input values, and the domain of a graph is made up of all the input values visible on the x-axis.
How do you determine domain and range is a function or a relation?All the y values from the ordered pairings are listed to determine the range. Values that are repeated inside the domain or range don't need to be listed more than once. Each x must have a unique y value in order for a relation to be a function.
Simply solving for y = f(x) yields the values of the independent variable x and the domain, which we can use to determine the domain and range. Simply write x as x=g(y) to determine the function's range, and then identify g's domain.
Utilizing graphs is another method for determining the domain and range of functions. The collection of possible input values is referred to as the domain, and the domain of a graph is made up of all the input values displayed on the x-axis. The collection of potential output values that make up the range is represented by the y-axis.
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You want to create a rectangular display board and line it with string lights. You want the lights to go along the two sides and the top, but not along the bottom. You have 40 feet of lights to use. What is the maximum size the display area can be to give the maximum area? What is the maximum display area?
pls help ily
Answer:
The maximum display area is 200sq. Ft. (square feet)
The maximum size of the lights is 20ft for the top and 10 ft for the sides
Step-by-step explanation:
I’m gonna delete this tmr because teacher checks this website I think
a rectangular compound is 32m broad and its perimeter is 144m .Find its length.
Answer
40m
Step-by-step explanation:
Multiply 32m by 2 or add 32m add 32m
You will get 64m
Subtract 64m from 144m
You will get 80m
Divide 80m by 2
You will get a length of 40m
A rectangular compound is 32m broad and its perimeter is 144m .Find its length.
Answer:\( \color{hotpink} \bold{40 \: m} \\ \)— — — — — — — — — —
Solution:Based on the problem, a rectangle compound is 32 m broad and its perimeter is 144.
so,
\(2 \: (1 + b) = 144\)\(\small2 \: (1 + 32) = 144 \: \to \: 2l + 64 = \orange{ \tt144}\)\(2l = 144 - 64 = \orange{80}\)\(l = \frac{80}{2} = \underline{\boxed{ \orange{ 40 \: m}}} \\ \)Therefore, the length measures 40 meters.
_______________∞_______________
consider the pharmaceutical company that desires an estimate of the mean increase in blood pressure of patients who take a new drug. the blood pressure increases (measured in points) for the 6 patients in the human testing phase are shown below. 1.7 3.0 0.8 3.4 2.7 2.1 what assumptions must be made in order for a 95% confidence interval for the mean increase in blood pressure to be valid?
If below assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
Describe Sampling?In statistics, sampling is the process of selecting a subset of individuals or objects from a larger population for the purpose of studying or estimating certain characteristics of the population. The subset of individuals or objects is known as a sample.
Sampling is often used when it is impractical or impossible to collect data on the entire population. By studying a representative sample, statisticians can make inferences about the population as a whole with a certain level of confidence.
In order for a 95% confidence interval for the mean increase in blood pressure to be valid, the following assumptions must be made:
Random sampling: The patients included in the study must be selected at random from the population of interest (i.e. patients who would take the drug in the real world). This helps to ensure that the sample is representative of the population and reduces the risk of bias in the results.Independence: The measurements of blood pressure increases for each patient must be independent of each other. This means that the blood pressure increase for one patient should not be influenced by the blood pressure increase of another patient.Normality: The distribution of blood pressure increases in the population of interest should be approximately normal. This assumption is important because it allows us to use parametric statistical methods to estimate the mean increase in blood pressure and calculate the confidence interval.Equal variance: The variance of blood pressure increases should be approximately equal across the population of interest. This assumption is important because it allows us to use a pooled variance estimate in calculating the confidence interval, which can improve the precision of the estimate.If these assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
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which of the following is a smartart graphic category?
The SmartArt Graphic Category is a group of graphic types that are pre-formatted, visual representations that organize and show data with colorful, designed shapes in Microsoft Office applications.
The following are SmartArt Graphic Categories:A list – Illustrates non-sequential or sequential items that do not have a clear hierarchy; such as a grocery list, a schedule of events, or a list of steps.
A process – Shows the development of a linear sequence of steps, a process, or a timeline. This category is perfect for documenting a simple workflow or an event timeline.A cycle – Represents a repeating or circular process, such as a workflow with no start or end. A hierarchy – Demonstrates a flowchart structure with a clearly defined order, such as organization charts or decision trees.
A relationship – Showcases how different factors interrelate to one another. For example, how different team members work with one another to create a project.Another category that could be mentioned is a Pyramid. A Pyramid showcases a set of data in a triangle shape with the most significant points of data at the top.
This structure is perfect for illustrating a hierarchy of concepts or a grouping of data.As for your question, the answer is "A hierarchy" is a SmartArt Graphic Category.
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.Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.
4x+y^2=12, x=y
Then find the area S of the region.
S=?
The area of the region enclosed by the curves is (3√3 - 13)/3.
To sketch the region enclosed by the given curves 4x+y^2=12, and x=y, we can begin by graphing the curves.
First, let's graph the curve 4x+y^2=12 by rewriting it in terms of y:
\(y^2 = 12 - 4x\)
This is a parabola that opens to the right and is centered at (3,0), with a width of 2√3.
Next, let's graph the line x=y, which passes through the origin at a 45-degree angle.
The region enclosed by the curves is the shaded region in the figure below:
To find the area of this region, we need to integrate with respect to x or y. Since the curves intersect at x=3, it's convenient to use vertical strips and integrate with respect to x.
The height of each strip is given by the difference between the y-coordinates of the parabola and the line at the corresponding x-value, which is:
y = √(12 - 4x) - x
The width of each strip is dx.
Thus, the area of the region is given by the integral:
S = ∫[0,3] (√(12 - 4x) - x) dx
We can simplify this integral by using the substitution u = 12 - 4x, du/dx = -4:
S = ∫[0,3] (√u - 3 + u/4) (-du/4)
S = ∫[0,12] (√u - 3 + u/4) (-du/4) (by extending the limits of integration)
S = [\(-u^{(3/2)/6} - 3u/4 + u^{2/32\)]_[0,12]
S = (3√3 - 13)/3
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I need help ASAP !!!!
Cos^2x + tan^2x cos^2x = 1
I need help verifying the trig function with steps.
Step-by-step explanation:
answer is provided in picture
what method of probability assessment would most likely be used to assess the probability that a major earthquake will occur in california in the next three years?
Seismic hazard analysis is a method of probability assessment that would most likely be used to assess the probability that a major earthquake will occur in California in the next three years.
Seismic hazard analysis is a method used to assess the probability of earthquakes occurring in a specific location, and it involves analyzing the historical records of earthquakes, geological data, and the tectonic plate movements in the area. This method is used to predict the likelihood of future earthquakes and their potential magnitude and intensity.
In the case of California, a seismic hazard analysis would likely be used to assess the probability of a major earthquake occurring in the next three years. The data collected from this analysis would help the government and the public prepare for potential earthquakes and minimize the damage caused by such events.
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Liam has 45 pencils Sophia has 25 pencils and micheal has 85. Use the GCF and the distributive property to find the total number of pencil Liam Sophia and micheal have
3
0
5
3
7
4
11
6
O A. {-3,0,3,4,5,6,7, 11}
O B. (-3,4,5,7}
O C. {3, 5, 7, 11)
O D. {-3, 0,4,6}
Answer:
A. {-3,0,3,4,5,6,7, 11}
Step-by-step explanation:
I'm prettybsure that A is the range because the range of numbers goes from -3 to 11
-13x6-(68+3)
54-(-87x45)
75+-31
Answer:
If they are seperate, then it is
-149
-3,861
106
If that is a whole equation, then the answer is
-297,506
Answer:
-13x6-(68+3)= -149
54-(-87x45)= -3969
75+31=106
Step-by-step explanation:
b. calculate the number of grams of fe and the number of grams of co2 formed when 50.7g of fe2o3 reacts with excess co.
The balanced chemical equation for the given reaction is:Fe2O3 + 3CO → 2Fe + 3CO2The molar mass of Fe2O3 is 159.69 g/mol. Mass of Fe2O3 = 50.7 g Moles of Fe2O3 = 50.7 g / 159.69 g/mol = 0.3179 mol According to the balanced chemical equation, 1 mole of Fe2O3 reacts with 3 moles of CO.
Hence, the number of moles of CO used = 3 × 0.3179 mol = 0.9538 mol. The molar mass of CO is 28.01 g/mol. Mass of CO used = 0.9538 mol × 28.01 g/mol = 26.7 g Hence, the mass of CO2 formed will be equal to the mass of CO used, i.e., 26.7 g. The molar mass of Fe is 55.85 g/mol. Mass of Fe formed = 0.3179 mol × 2 × 55.85 g/mol = 35.27 g
The number of grams of Fe and the number of grams of CO2 formed when 50.7 g of Fe2O3 reacts with excess CO are 35.27 g and 26.7 g, respectively.
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3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
A. cannot be determined
B. 1
C. 2
D. 0
One
Is it 2x-3x+8=0,right?
Answer:
D. 0
Step-by-step explanation:
the answer to the equation is 0
3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
cannot be determined
1
2
0
2. Ravi purchased an old house for Rs. 76.5000 and
spent Rs. 115000 on its. Then he sold it at a
gain of 5%. How many
much did he get.
Answer:
Rs. 924000.
Step-by-step explanation:
Cost of house = 765000
Additional money spent on it = 115000
Total cost incurred by Ravi = 765000 + 115000 = 880000
Gain = 5% of total cost
gain in Rs = 5/100 * 880000 = Rs. 44000
Total selling price of house = total cost incurred + profit = 880000+ 44000
Total selling price of house = Rs. 924000
Thus, Ravi got Rs. 924000.
4. 40% percent of 295 students say they do not like homework. How many students like homework?
Answer:
118 Students hate homework but 177 students like homework.
Step-by-step explanation:
The answer is 177 because 40% of 295 is 118 and 295 minus 118 is 177.
P.S Can I have brainliest?
Which of the following is an example of a time series?
a). The number of daily visitors to the Niagara Falls during the month of April.
b). The recorded exam scores of students in a class.
c). The sales prices of single family homes sold last month in Florida.
d). The current average prices of regular gasoline in different states of the U.S.
Out of the given options, (a) and (d) are examples of time series while (b) and (c) are not.
A time series is a set of data points collected at regular intervals of time, with the aim of analyzing trends, patterns, and changes over time. In other words, it's a sequence of data points recorded at successive intervals of time. Here's a detailed explanation of each option:
a) The number of daily visitors to Niagara Falls during the month of April: This is an example of a time series. It shows the number of visitors to Niagara Falls every day in the month of April. The data points are collected at regular intervals of time (daily) and can be used to analyze patterns, trends, and changes in the number of visitors over time.
b) The recorded exam scores of students in a class: This is not an example of a time series. The data points represent a one-time measurement of exam scores and do not change over time.
c) The sales prices of single-family homes sold last month in Florida: This is not an example of a time series. The data points represent a one-time measurement of sales prices and do not change over time.
d) The current average prices of regular gasoline in different states of the U.S.: This is an example of a time series. The data points represent the current average prices of regular gasoline in different states of the U.S. The data points are collected at regular intervals of time and can be used to analyze patterns, trends, and changes in gasoline prices over time.
Therefore, Out of the given options, (a) and (d) are examples of time series while (b) and (c) are not.
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Given the quantities a=3.7m, b=3.7s, c=80m/s, what is the value of the quantity d=a^3/cb^2?
The value of the quantity d is 0.0462 m^2/s.
Here,
The quantities a=3.7m, b=3.7s, c=80m/s.
We have to find the value of d = a^3/cb^2
What is quantity?
A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.
Now,
The quantities a=3.7m, b=3.7s, c=80m/s.
The value of d;
\(d = \frac{a^{3} }{cb^{2} }\)
\(d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }\)
\(d = \frac{3.7}{80}\)
\(d = 0.0462\)
Hence, The value of the quantity d is 0.0462 m^2/s.
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HELP ASAP!!!!
The measures of the angles of a triangle are shown in the figure below. Solve for x.
46°
719
(4X-17)
Considering that the sum of the internal angles of a triangle is of 180º, it is found that x = 20.
The sum of the measures of the internal angles of a triangle is of 180º.
In this problem, the angles are:
46º.71º.(4x - 17)º.Hence:
\(46 + 71 + 4x - 17 = 180\)
\(4x + 100 = 180\)
\(4x = 80\)
\(x = \frac{80}{4}\)
\(x = 20\)
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A poll conducted by the UC Berkeley Institute of Governmental studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state.Here n=4527 and p^=51.7=0.517 , andq^=1-p^=1-0.517=0.483Now to compute 95% confidence interval for the proportion of all California who considered moving out of state.
The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.
The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.
B. The formula to calculate the confidence interval for a proportion is:
CI = p^ ± z* √[(p^(1-p^))/n]
Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.
Substituting the given values into the formula, we get:
CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]
CI = 0.517 ± 0.013
The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.
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In triangle ABC, the measure of angle C is 6 times the measure of angle B. 2 times angle A is 20 more than 3 time angle B. Find the measure of each angle in degrees.
Answer:
∠
A
=
x
=
32
∘
∠
B
=
3
x
=
3
⋅
32
=
96
∘
∠
C
=
x
+
20
=
32
+
20
=
52
∘
Step-by-step explanation: Every triangle adds up to 180.
Consumers in a certain state can choose between three long-distance telephone services: GTT, NCJ, and Dash. Aggressive marketing by all three companies results in a continual shift of customers among the three services. Each year, GTT loses 20% of its customers to NCJ and 15% to Dash, NCJ loses 5% of its customers to GTT and 5% to Dash, and Dash loses 25% of its customers to GTT and 15% to NCJ. Assuming that these percentages remain valid over a long period of time, what is each company's expected market share in the long run?
GTT's expected market share:
NCJ's expected market share:
Dash's expected market share:
GTT's expected market share is 45.45%, NCJ's expected market share is 31.82%, and Dash's expected market share is 22.73%. these percentages add up to 100%, as expected.
To find the long-run expected market share for each company, we need to use the concept of steady-state or equilibrium. In the long run, the market share of each company will remain constant if the number of customers gained is equal to the number of customers lost. This means that the rate of change of each company's market share will be zero.
Let's define the market share of each company at any point in time as follows:
GTT's market share = SGTT
NCJ's market share = SNCJ
Dash's market share = SDash
We can write the equations for the rate of change of each company's market share as follows:
dSGTT/dt = -0.2 SGTT + 0.05 SNCJ + 0.25 SDash
dSNCJ/dt = -0.05 SNCJ + 0.05 SGTT + 0.15 SDash
dSDash/dt = -0.15 SDash + 0.25 SGTT + 0.15 SNCJ
Note that the negative coefficients represent the percentage of customers lost by the company, and the positive coefficients represent the percentage of customers gained by the company.
To find the steady-state values of SGTT, SNCJ, and SDash, we need to set the rate of change of each company's market share to zero:
-0.2 SGTT + 0.05 SNCJ + 0.25 SDash = 0
-0.05 SNCJ + 0.05 SGTT + 0.15 SDash = 0
-0.15 SDash + 0.25 SGTT + 0.15 SNCJ = 0
We can solve these equations to get the steady-state values of SGTT, SNCJ, and SDash:
SGTT = 0.4545
SNCJ = 0.3182
SDash = 0.2273
Therefore, the expected long-run market share for each company is as follows:
GTT's expected market share: 45.45%
NCJ's expected market share: 31.82%
Dash's expected market share: 22.73%
Therefore, these percentages add up to 100%, as expected.
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Consider a sample with data values of 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and $2. Compute the mean, median, and mode.
If required, round your answers to two decimal places.
Mean = ________
Median = _________
Mode = _________
The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73
Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:
Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11
Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.
Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).
Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.
Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.
Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)
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If the crayon is 90 millimeters long, how
many cubic centimeters of wax is used to
make a box of 8 crayons?
Answer:
373248 cm³ of wax
Step-by-step explanation:
If the crayon is 90 millimeters long, how many cubic centimeters of wax is used to make a box of 8 crayons?
1 crayon = 90mm
8 crayons = x
Cross Multiply
x = 8 × 90mm
x = 720mm
Converting to cubic mm
= (720mm)³ = 373248000mm³
Converting to cubic centimeter
1 mm³ = 0.001 cm³
373248000 mm³ = x
Cross Multiply
373248000 × 0.001 cm³
= 373248 cm³ of wax