apply the descriptive statistics tool for subsets of liberal arts colleges and research universities in the excel file colleges and universities. compare the two types of colleges. what can you conclude?
Answers
Liberal arts colleges have a higher median SAT score and a lower acceptance rate compared to research universities, while research universities have a higher expenditure per student and a higher percentage of top 10% high school graduates.
Descriptive statistics were calculated for liberal arts colleges and research universities based on the data given in the Excel file. The summary of descriptive statistics for each variable by school type is as shown in the table.
Based on the results, it appears that liberal arts colleges have higher median SAT scores, lower acceptance rates, and lower expenditures per student than research universities. On the other hand, research universities have higher mean expenditures per student and higher median percentages of top 10% high school graduates than liberal arts colleges. Overall, there are differences in the characteristics of these two types of colleges.
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--The complete question is, Compute descriptive statistics for liberal arts colleges and research universities in the Excel file Colleges and Universities. Compare the two types of colleges. What can you conclude?
Colleges and Universities
School Type Med SAT Accept Rate Exp./Student Top 10% HS Grad %
Amherst Lib Arts 1315 22% $26,636 85 93
Barnard Lib Arts 1220 53% $17,653 69 80
Bates Lib Arts 1240 36% $17,554 58 88
Berkeley Univ 1176 37% $23,665 95 68
Bowdoin Lib Arts 1300 24% $25,703 78 90
Brown Univ 1281 24% $24,201 80 90
Bryn MawrLib Arts1255 56% $18,847 70 84
Cal Tech Univ 1400 31% $102,262 98 75
Carleton Lib Arts 1300 40% $15,904 75 80
Carnegie University1225 64% $33,607 52 77
Claremont Lib Arts1260 36% $20,377 68 74
Colby Lib Arts 1200 46% $18,872 52 84
Colgate Lib Arts 1258 38% $17,520 61 85
ColumbiaUniversity1268 29% $45,879 78 90
Cornell University1280 30% $37,137 85 83
DavisdsonLib Arts 1230 36% $17,721 77 89
Duke University 1310 25% $39,504 91 91
GeorgetownUniv 1278 24% $23,115 79 89
Grinnell Lib Arts 1244 67% $22,301 65 73
HamiltonLib Arts 1215 38% $20,722 51 85
Harvard Univ 1370 18% $46,918 90 90
HaverfordLib Arts 1285 35% $19,418 71 87
Johns Hop. Univ 1290 48% $45,460 69 86
MiddleburyLib Arts 1255 25% $24,718 65 92
MIT University 1357 30% $56,766 95 86
Mount Lib Arts 1200 61% $23,358 47 83
NWrn University 1230 47% $28,851 77 82
Oberlin Lib Arts 1247 54% $23,591 64 77
Occidental Lib Arts 1170 49% $20,192 54 72
Pomona Lib Arts 1320 33% $26,668 79 80
Princeton University 1340 17% $48,123 89 93
Rice University 1327 24% $26,730 85 88
Smith Lib Arts 1195 57% $25,271 65 87
Stanford University 1370 18% $61,921 92 88
Swarthnore Lib Arts 1310 24% $27,487 78 88
U of MI University 1195 60% $21,853 71 77
U of Chi University 1300 45% $38,937 74 73
U of Roc University 1155 56% $38,597 52 73
U PA University 1280 41% $30,882 87 86
U Va University 1218 37% $19,365 77 88
UCLA University 1142 43% $26,859 96 61
UNC University 1109 32% $19,684 82 73
Vassar Lib Arts 1287 43% $20,179 53 84
Wash U University 1225 54% $39,883 71 76
Wash & Lee Lib Arts 1234 29% $17,998 61 78
Wellesley Lib Arts 1250 49% $27,879 76 86
Wesleyan Lib Arts 1290 35% $19,948 73 91
Williams Lib Arts 1336 28% $23,772 86 93
Yale University 1350 19% $52,468 90 93--
Related Questions
A random sample of students at a middle school shows that 10 students prefer listening to rock, 15 students prefer listening to hip hop and 25 students prefer no music , while they exercise. is it biased or unbiased sample?
Answers
A random sample of students at a middle school shows that 10 students prefer listening to rock, 15 students prefer listening to hip hop and 25 students prefer no music, while they exercise. the given sample is unbiased.
Ten students at a middle school like to listen to rock, fifteen students prefer to listen to hip-hop, and twenty-five students prefer no music when they exercise.
The given sample is unbiased.
The term "biassed samples" refers to those that were created using biassed sampling methods. A biased sample is most likely not representative of the population. On the other hand, an "unbiased sample" is a sample that was created using a non-biased sampling method. An impartial sample is more likely to produce a representative sample. As was previously stated, a representative sample may not always be produced by an unbiased sampling technique, especially if the sample size is too small.
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after running a classification model, we have the following confusion matrix: confusion matrix what is this model's overall accuracy ?
Answers
The overall classification accuracy of this model on the test set is 0.179
The overall classification accuracy of the model can be calculated by dividing the number of correctly classified instances (the sum of true positives and true negatives) by the total number of instances in the test set
Accuracy = (TP + TN) / (TP + TN + FP + FN)
where TP = True Positives, TN = True Negatives, FP = False Positives, and FN = False Negatives.
From the confusion matrix given
True Positives (TP) = 124
True Negatives (TN) = 116
False Positives (FP) = 77
False Negatives (FN) = 851
Plugging these values into the formula, we get
Accuracy = (124 + 116) / (124 + 116 + 77 + 851)
Accuracy = 0.179
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The given question is incomplete, the complete question is:
The following classification confusion matrix shows the results of a model's classifications on a test set: Test Set Results Model Prediction FALSE TRUE FALSE 116 TRUE 77 124 851 (The rows refer to the model's classifications, and the columns to the actual results in the test set.) a. What is the overall classification accuracy of this model on the test set?
Find the angle between the given vectors to the nearest tenth of a degree
U= (4,-8) V= (-6, -3)
Answers
Answer:
90°
Step-by-step explanation:
Given the vectors:
[tex]\displaystyle{\vec v = \langle -6, -3\rangle \ \: \text{and} \ \: \vec u = \langle 4, -8 \rangle}[/tex]
You can find the angle between two vectors by solving for θ in the equation:
[tex]\displaystyle{\vec v \times \vec u = |\vec v | |\vec u| \cos \theta}[/tex]
Where:
[tex]\displaystyle{\vec v \times \vec u = v_xu_x + v_yu_y}\\\\\displaystyle{|\vec v| = \sqrt{v_x^2 + v_y^2}}\\\\\displaystyle{|\vec u| = \sqrt{u_x^2+u_y^2}}[/tex]
Therefore:
[tex]\displaystyle{\vec v \times \vec u = |\vec v | |\vec u| \cos \theta}\\\\\displaystyle{(-6)(4)+(-3)(-8) = \sqrt{(-6)^2+(-3)^2} \cdot \sqrt{4^2+(-8)^2} \cos \theta}\\\\\displaystyle{-24+24=\sqrt{36+9}\cdot \sqrt{16+64}\cos \theta}\\\\\displaystyle{0=\sqrt{45}\cdot \sqrt{80}\cos \theta}\\\\\displaystyle{\dfrac{0}{\sqrt{45}\cdot \sqrt{80}}=\cos \theta}\\\\\displaystyle{0=\cos \theta}\\\\\displaystyle{\theta = 90^{\circ}}[/tex]
Therefore, the angle between two vectors is 90 degrees.
formula to find area of acircle
Answers
A = π r² is the formula
r is the radius
Hope it helps ✨
Answer:
Step-by-step explanation:
[tex]A=\pi \times r^2[/tex] where r is the circle's radius
the daily high temperature in a town in Alaska has been colder than -4f for three weeks
Answers
This statement implies that the daily high temperature in the town in Alaska has been below -4°F (minus four degrees Fahrenheit) for three consecutive weeks.
Lola has 4 1/2 cups of rice. She uses 3/4 of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?
Answers
Based on the given information, Lola used 9/8 cups of rice for the rice pudding.
What is a fraction?A fraction is a mathematical expression that represents a part of a whole or a division of one quantity by another. It consists of two numbers separated by a horizontal line called a fraction bar or a vinculum. The number above the fraction bar is called the numerator, and the number below the fraction bar is called the denominator.
Lola has 4 1/2 cups of rice, which is equivalent to 9/2 cups of rice.
She uses 3/4 of the rice to make sushi rolls for dinner. So, the amount of rice she uses for the sushi rolls is:
(3/4) x (9/2) = 27/8 cups of rice
To find the amount of rice she uses for the rice pudding, we need to subtract the amount she used for the sushi rolls from the total amount she had:
9/2 - 27/8 = 36/8 - 27/8 = 9/8
So Lola used 9/8 cups of rice for the rice pudding.
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Which number should be added to
both sides of this quadratic equation
to complete the square?
Answers
The number that should be added to both sides of this quadratic equation to complete the square is (-3/2)² .
Explain about the completing square:When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. Finding the function's highest or minimum value and the time it happens is one use for the square-root method.
We can solve quadratic equations that lack a factor by completing the square.
In order to make the left side of the formula a perfect square trinomial, the equation's form must be adjusted.
The given quadratic equation:
1 = x² - 3x
This can be written as:
x² - 3x - 1 = 0
a = 1, b = -3 and c = -1.
using the formula: (b/2)² = (-3/2)²
The number added both side is:
(-3/2)² + 1 = x² - 3x + (-3/2)² (required equation);
On simplification:
9/4 + 1 = (x -3/2)²
13/4 = (x -3/2)²
Thus, the number that should be added to both sides of this quadratic equation to completing square is (-3/2)² .
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A farmer is painting a new barn. He will need to calculate the surface area of the barn to purchase the correct amount of paint. In which of the following units can the farmer expect to calculate the surface area?
a) m
b) m²
c) ft
d) ft³
Answers
The farmer can expect to calculate the surface area of the barn in units of m² or square meters. Thus, option B is correct.
What is the surface area?Surface area is a two-dimensional measurement that represents the total area of all the faces or sides of a three-dimensional object. It is the sum of the areas of all the faces or surfaces that make up the object.
The surface area is typically expressed in square units, such as square meters (m²), square feet (ft²), or square centimetres (cm²), depending on the unit system used.
For example, the surface area of a cube with sides of length "s" can be calculated by finding the area of each face (which is s²), and then summing the areas:
Surface area of a cube = 6 x (side length)² = [tex]6s^2[/tex]
The farmer can expect to calculate the surface area of the barn in units of m² or square meters.
Surface area is a two-dimensional measurement that represents the total area of all the faces or sides of a three-dimensional object, such as a barn. The unit of measurement for surface area is always expressed in square units, such as m², ft², cm², etc.
Therefore, options (a) m, (c) ft, and (d) ft³ are incorrect, surface area
the farmer expect to calculate the surface area in [tex]m^2[/tex].
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a part of a population chosen in such a way that every member had an equal chance of being selected.
Answers
This is called random sampling.
What is random sampling?
Random sampling is commonly used in research and statistical analysis, as it helps to reduce the potential for bias in the sample selection process. There are several techniques for conducting random sampling, such as simple random sampling, stratified random sampling, and cluster sampling, each with its own specific method of selection.
Random sampling is an important tool in statistical inference and research. By selecting a random sample from a population, researchers can obtain an estimate of the population parameters (such as the mean or proportion) with a known level of precision and confidence.
There are several techniques for conducting random sampling:
Simple random sampling: In this technique, each member of the population has an equal chance of being selected. This can be done by assigning each member of the population a unique number and using a random number generator to select the sample.
Stratified random sampling: In this technique, the population is divided into subgroups (strata) based on some characteristic (such as age or gender). A random sample is then selected from each stratum.
Cluster sampling: In this technique, the population is divided into clusters (such as neighborhoods or schools). A random sample of clusters is then selected, and all members within those clusters are included in the sample.
Random sampling has several advantages over non-random sampling methods, such as convenience sampling or purposive sampling. First, it helps to ensure that the sample is representative of the population, reducing the potential for bias in the sample selection process. Second, it allows for the calculation of sampling error, which is the degree of error that is inherent in any sample due to chance variation. Finally, random sampling allows for the use of inferential statistics, which enables researchers to make inferences about the b based on the sample data.
However, random sampling also has some limitations. It can be expensive and time-consuming to select a truly random sample from a large population. Additionally, it may be difficult to ensure that all members of the population are included in the sampling frame, which could result in some members being excluded from the sample. Finally, the sample size must be large enough to ensure a sufficient level of precision in the estimates of the b parameters.
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Rewrite the expression in terms of sine and cosine and utilize the Fundamental Pythagorean Identity: sin²(x)+cos²(x)=1
Verify the identity using the Pythagorean Identity:
[tex]\frac{1-2cos^2(x)}{sin(x)cos(x)}=tan(x)-cot(x)[/tex]
Answers
The Fundamental Pythagorean Identity in trigonomety sin²(x)+cos²(x)=1
Using the Pythagorean Identity: [tex]\frac{1-2cos^2x}{sinxcosx}=tanx-cotx[/tex] ,
Hence prove.
Trigonometry formulas can be used to address many different kinds of issues. These issues could involve Pythagorean identities, product identities, trigonometric ratios (sin, cos, tan, sec, cosec, and cot), etc. Many formulas, such as those involving co-function identities (shifting angles), sum and difference identities, double angle identities, half-angle identities, etc., as well as the sign of ratios in various quadrants,
We know that the Pythagorean theorem,
sin²(x)+cos²(x)=1
We have
1-2cos²x = sin²(x)+cos²(x) -2cos²x
1-2cos²x = sin²(x)-cos²(x)
[tex]\frac{1-2cos^2x}{sinxcosx}=tanx-cotx[/tex]
To prove this take the right-hand sides
[tex]\frac{sin^2x}{sinxcosx}-\frac{cos^2x}{sinxcosx}\\\\=\frac{sinx}{cosx}-\frac{cosx}{sinx}\\\\= tanx-cotx[/tex]
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i need help on my practice test
Answers
The maximum point of this quadratic function f(t) = -16t² + 80t + 64 is equal to 164.
How to determine the maximum value of a quadratic equation?In this exercise, you are required to determine the maximum value of the given quadratic functions that is written in standard form. In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.For the given quadratic function f(t) = -16t² + 80t + 64, the axis of symmetry can be calculated as follows:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(80)/2(-16)
Axis of symmetry, Xmax = -80/-32
Axis of symmetry, Xmax = 2.5
For the vertex, we have:
f(t) = -16t² + 80t + 64
f(2.5) = -16(2.5)² + 80(2.5) + 64
f(2.5) = 164.
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What is the result when the number 82 is increased by 50%?
Answers
Answer:
The answer is 41
Step-by-step explanation:
82 / 2
Each serving of fruit punch that Will makes has 23
cup of pineapple juice and 12
cup of cranberry juice.
How many cups of fruit punch are in 16 servings?
1357
cups
1823
cups
2013
cups
24
cups
Answers
The total amount of juice in 16 servings is 2/3 + 1/3 = 1 cup, so the total amount of juice is 16 x 1 = 16 cups. This means there are 16 cups of fruit punch in 16 servings.
How many cups of fruit punch are in 16 servings?This question shows how to calculate the total quantity of a combination by multiplying the amount of each component by its respective ratio and then combining them together. It also emphasizes the need of understanding ratios and unit conversions while preparing recipes and measuring food.
To determine how many cups of fruit punch are in 16 servings, multiply the total amount of juice in 16 servings by 16.
For each serving, there are 2/3 cup of pineapple juice and 1/3 cup of cranberry juice, so the total amount of juice in each serving is:
2/3 + 1/3 = 1 cup
Therefore, the total amount of juice in 16 servings is:
16 x 1 = 16 cups
So there are 16 cups of fruit punch in 16 servings.
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Which statement is not true for the function notation of the volume of a cube, V(s) = s3?
Answers
Answer:
Step-by-step explanation:
The statement that is not true for the function notation of the volume of a cube, V(s) = s3, is not specified. Please provide the statement you are referring to.
What is the result when the number 94 is decreased by 50%?
Answers
Answer:
47
Step-by-step explanation:
Given: 94 decreased by 50%
First, we will change the percentage to a decimal, by moving the decimal two nodes to the left.
50% = .50
Next, we will multiply the decimal with the number.
94 · .50 = 47
check attached image for further explanation
Pablo is mailing packages. Each small package costs him $2.80 to send. Each large package costs him $3.80. How much will it cost him to send 5 small packages and 4 large packages?
Answers
Step-by-step explanation & Answer
———-———-———-———-———-———-———-———-———-———-———-——
Page 1
So first we need to multiply the small packages by 5 because he needs to said 5 of them which is:
5 x 2.80 = 14 Which is our answer for the first part of the question.
Next we need to multiply the big/large packages by 4 because he is going to send 4 of them.
4 x 3.80 = 15.2 / ( money terms ) = 15.20
[tex]\left \{ {{small= 14} \atop {big=15.20}} \right.[/tex]
———-———-———-———-———-———-———-———-———-———-———-——
Page 2
We can them add them up or we can leave it at this but just in case lets add them up:
15.20 + 14 = 29.20 Which is the answer.
[tex]\left[\begin{array}{ccc}An&sw&r\\&=&\\22&.&9\end{array}\right][/tex]
Rewrite the expression in terms of sine and cosine and utilize the Fundamental Pythagorean Identity: sin²(x)+cos²(x)=1
Verify the identity using the Pythagorean Identity:
[tex]\frac{1-cos(x)}{sin(x)}=\frac{sin(x)}{1+cos(x)}[/tex]
Answers
The identity using the Pythagorean Identity:
[tex]\frac{1-cosx}{sinx}=\frac{sinx}{1+cosx}[/tex] , Hence proved
Trigonometry formulas can be used to address many different kinds of issues. These issues could involve Pythagorean identities, product identities, trigonometric ratios (sin, cos, tan, sec, cosec, and cot), etc. Many formulas, such as those involving co-function identities (shifting angles), sum and difference identities, double angle identities, half-angle identities, etc., as well as the sign of ratios in various quadrants,
the Fundamental Pythagorean Identity: sin²(x)+cos²(x)=1
Verify the identity using the Pythagorean Identity:
[tex]\frac{1-cosx}{sinx}=\frac{sinx}{1+cosx}[/tex]
To prove this take the right-hand side of the given identity.
We know that,
[tex]\frac{sinx}{1+cosx}*\frac{1-cosx}{1-cosx}\\\\=\frac{Sinx(1-cosx)}{1-cos^2x}\\\\=\frac{1-cosx}{sinx}[/tex]
Hence the left-hand sides.
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the waiting time at a drive-through window has an exponential distribution with a mean of 6 minutes. what is the probability that the waiting time is greater than 5 minutes? enter your answer as a percentage accurate to two decimal places. for example, a probability of 0.4567 is 45.67%, so it should be entered as 45.67.
Answers
The probability that the waiting time is greater than 5 minutes is 0.3012
Given that the waiting time at a drive-through window has an exponential distribution with a mean of 6 minutes.
The probability density function of an exponential distribution is given by
f(x) = (1/μ) × e^(-x/μ)
where μ is the mean of the distribution.
Therefore, the probability that the waiting time is greater than 5 minutes is
P(X > 5) = ∫[5, ∞] f(x) dx
= ∫[5, ∞] (1/6) × e^(-x/6) dx
= [-e^(-x/6)]_[5, ∞]
= e^(-5/6)
Using a calculator, e^(-5/6) is approximately 0.3012.
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Use the graph to answer the question.
Determine the direction and degree of rotation used to create the image.
90 counterclockwise rotation
90 clockwise rotation
270 counterclockwise rotation
180 clockwise rotation
Answers
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
what is degree of rotation ?When an item or form is rotated about a fixed point, generally the origin or a specified point in the plane, the amount of rotation that takes place is referred to as the degree of rotation. Angles are measured in degrees, where one full rotation equals 360 degrees. The amount of angle shift, expressed in degrees, that occurs when an item or shape is rotated is known as the degree of rotation. A shape has been turned a quarter of a full rotation anticlockwise, for instance, if it is rotated 90 degrees in that direction. Similar to this, a form has completed one-half of a full rotation if it is rotated 180 degrees.
given
The graph suggests that the image was rotated 90 degrees anticlockwise and in the other manner to make.
Compare the figure's initial placement (the grey triangle) to its final placement to see this (the red triangle).
One of the vertices on the grey triangle is pointing upward, and the other two are pointing to the right and left.
The red triangle's up-pointing vertex remains after the transformation, but the other two vertices now point down and up-left, respectively.
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
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The tree diagram shows the sample space of two digit numbers that can be created using the digits6, 5, 1, 7, what is the probability of choosing a number from the sample space that contains both 5 and 7.
Answers
Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring, expressed as a number between 0 and 1. It is used to analyze and quantify the uncertainty associated with random events or processes.
what is the probability of choosing a number from the sample space that contains both 5 and 7?To find the probability of choosing a number from the sample space that contains both 5 and 7, we need to count the number of outcomes that satisfy this condition and divide by the total number of possible outcomes in the sample space.
From the tree diagram, we can see that there are four possible two-digit numbers that contain both 5 and 7: 57, 75, 56, and 65.
The total number of possible outcomes in the sample space is the number of ways to arrange the four digits in a two-digit number, which is 4 × 3 = 12 (since there are 4 choices for the first digit and 3 choices for the second digit, once the first digit is chosen).
Therefore, the probability of choosing a number from the sample space that contains both 5 and 7 is:
4/12 = 1/3
So the probability of choosing a number from the sample space that contains both 5 and 7 is 1/3 or approximately 0.33.
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a chair is normally $30.00. it's now on sale for 10% off. what is the sale price?
- ugly person
Answers
Answer:27
Step-by-step explanation:First you find 10% of 30 which is 3 then you subtract 30-3=27
f we design a study to have no more than a 10% chance of a type 2 error, then the statistical power of the study equals 90%. true or false?
Answers
The statement " if we design a study to have no more than a 10% chance of a type 2 error, then the statistical power of the study equals 90%" is true because achieving a 10% chance of a type 2 error, or a 90% power, means that the study has a high probability of detecting a true effect if it exists
Statistical power is defined as the probability of correctly rejecting a false null hypothesis, or in other words, the probability of detecting a true effect if it exists. A type 2 error, on the other hand, occurs when we fail to reject a false null hypothesis, or when we fail to detect a true effect that actually exists.
Therefore, if we design a study to have no more than a 10% chance of a type 2 error (i.e., 90% power), then we are saying that the probability of detecting a true effect, if it exists, is 90%. This is equivalent to saying that the study has 90% power to detect the effect.
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Need helps with this too.
Answers
The radius and volume of the cylinder are 4 cm and 754 cm³ respectively and volume of the cone is 216 cm³.
What the volume of a cone and cylinder?
Volume of cone and cylinder is V = (1/3)πr²h and V = (1/3)πr²h respectively
where r is the radius of the base of the cone, h is the height of the cone, and π is the mathematical constant π (approximately equal to 3.14).
For cone:
To use this formula, we first need to find the radius of the base of the cone. We know that the diameter of the base is 12 cm, so the radius is half of that:
r = d/2 = 12/2 = 6 cm
Now we can plug in the values we have into the formula:
[tex]V = \frac{1}{3} \pi {r}^{2} h \\ V = \frac{1}{3} π( {6}^{2} )(19) \\ V = ( \frac{1}{3} )π(36)(19) \\ V = ( \frac{1}{3} )(3.14)(36)(19) \\ V = 216.24 cm³[/tex]
So, volume of the cone is 216.24 cm³ or 216 cm³ ( approximately)
For cylinder:
We are given the diameter of the cylinder as 8 cm, so we can find the radius as half of that:
r = d/2 = 8/2 = 4 cm
We are also given the height of the cylinder as 15 cm.
Now we can plug in these values into the formula:
[tex]V = π {r}^{2} h\\ V = π( {4}^{2} )(15) \\ V = π(16)(15) \\ V = 240π \\ V ≈ 753.98 \: cubic \: centimeters[/tex]
Therefore, the volume of the cylinder is approximately 753.98 cubic centimeters or 754 cm³ (approximately).
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Which of the following is a valid application of the distributive property?
A. 5 x 2 + 3 = 5 X (2 + 3)
B. 5 x 2 + 3 = 5 x (2) + 5 x (3)
B only
A only
Neither A nor B
Both A and B
Answers
Answer:
B only
Step-by-step explanation:
The correct answer is B only.
The distributive property states that a multiplication of a number by a sum or difference can be rewritten as the sum or difference of the products of the number with each term in the sum or difference. In other words, a(b + c) = ab + ac and a(b - c) = ab - ac.
Option A, 5 x 2 + 3 = 5 X (2 + 3), does not use the distributive property correctly. It tries to distribute the 5 over the sum 2 + 3, which is not possible.
Option B, 5 x 2 + 3 = 5 x (2) + 5 x (3), correctly applies the distributive property by distributing the 5 over each term in the sum 2 + 3.
Therefore, the valid application of the distributive property is B only.
WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Find the value of x.
Answers
Let a = 10, b = 6, c = 12, and d = x
ab=cd
x = ab/c
x = 10(6)/12
x = 5
3n + 9 = 11n -23 Please
Answers
Answer: N=4
Step-by-step explanation:
Answer: n = 4
Step-by-step explanation:
subtract 9 from both sides simplify subtract 11n from both sides then combine like terms, simplify, divide both sides by the same factor, then simplify then boom :)
as the size of a sample increases, the mean of the distribution of sample means increases always. (true/false). group of answer choices
Answers
As the size of a sample increases, the mean of the distribution of sample means increases always. - False
The mean of the distribution of sample means does not always rise as sample number rises. The population mean is not changed by increasing the sample number because the population mean is equivalent to the mean of the distribution of sample means. The variation of the distribution of the sample means does, however, decline as the sample number rises.
The distribution of sample means approximates normality with a mean equal to population mean and a standard deviation equal to population standard deviation divided by square base of the total sample size. This is known as the central limit theorem. As a result, the distribution of sample means becomes more tightly focused around the community mean and less variable as the sample number rises.
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Ms. Collins recently got an aquarium that is 3 ft tall, 3 feet wide, and 6 ft. long. She needs to fill her aquarium with water but she already put .5 ft of gravel in the bottom.
How much more room is left for the water?
Answers
There is 53.5 cubic feet of space left for water in the aquarium.
what is volume ?The volume of three-dimensional space occupied by an object or substance alone is referred to as volume.
The aquarium's total volume can be found by multiplying its dimensions:
Volume = Length x Width x Height
Volume = 6 ft x 3 ft x 3 ft
Volume = 54 cubic feet
However, Ms. Collins has already filled the bottom of the tank with gravel that takes up 0.5 ft of space. Therefore, the remaining space for water is:
Remaining space = Total volume - Gravel volume
Remaining space = 54 cubic feet - 0.5 cubic feet
Remaining space = 53.5 cubic feet
So, there is 53.5 cubic feet of space left for water in the aquarium.
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a mosaic table top has triangular and rectangular peices for every 8 rectangular pieces there are 12 triangular pieces there are a total of 80 pieces how many of each shape are used
Answers
From the problem, we know that for every 8 rectangular pieces, there are 12 triangular pieces. This can be written as:
12/8 = 3/2
So for every 2/3 of a triangular piece, there is 1 rectangular piece.
We also know that there are a total of 80 pieces. So we can set up an equation:
r + t = 80
We can use the ratio of 2/3 to set up another equation:
r = (2/3)t
Now we can substitute the second equation into the first equation and solve for t:
(2/3)t + t = 80
(5/3)t = 80
t = (3/5) * 80
t = 48
So there are 48 triangular pieces. To find the number of rectangular pieces, we can use the second equation:
r = (2/3)t
r = (2/3) * 48
r = 32
So there are 32 rectangular pieces.
Therefore, there are 48 triangular pieces and 32 rectangular pieces used in the mosaic table top
Find the approximate area of the lake whose shape is overlaid on the grid below. Each
square of the grid represents one square mile. (3 points)
Answers
Thus, the approximate area of lake whose shape is taken on the square of the grid is 8 sq. unit.
Explain about the area on grid:A grid area is a rectangular area just on grid that is made up of one or more grid cells. When you define an area using named grid areas or when you place an object using line-based placement, grid areas are produced.
By dividing the supplied figure in square grids and counting how many of these there are, it is easiest to determine the area of a typical two-dimensional shape.
For the following question:
The area of 1 complete grid is taken 1 sq. unit.Area greater than half but less then 1 is taken as 1/2 sq. unit.Area less than half units is not taken:Thus,
Total area = 4*1 + 8*(1/2)
Total area = 4 + 4
Total area = 8 sq. unit
Thus, the approximate area of the lake whose shape is taken on the square of the grid is 8 sq. unit.
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