Answer:
7/6 or 1.667 ft
Step-by-step explanation:
area of base = 30 ft²
V = area of base x h
30 x h = 35
35/30 = 7/6 ft
Which correlation best describes the scatter plot below?
Answer:
I believe this would be a Positive correlation.
Step-by-step explanation:
This scatter plot shows the points plotted from left to right, which is an increase or positive correlation.
If the points were plotted from right to left, it would be negative.
If the points were scattered around the graph with no common theme or pattern, it would be none.
A rectangle has a perimeter of 45 feet and a base of 5.5 feet. What is the height?
The height of the rectangle will be 17 feet.
What is the perimeter of the rectangle?Let H be the height and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(H + W) units
A rectangle has a perimeter of 45 feet and a base of 5.5 feet.
The sum of all the sides of the rectangle will be known as the perimeter of the rectangle.
Then the height of the rectangle will be
45 = 2(H + 5.5)
22.5 = H + 5.5
H = 22.5 - 5.5
H = 17 feet
Thus, the height of the rectangle will be 17 feet.
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The chi-square test of independence is typically used to analyze the relationship between two variables when
both variables are nominal.
the two variables have been measured on different individuals.
the observations on each variable are within-subjects in nature.
all of the above
The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is D. all of the above
The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.
When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.
For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.
The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.
Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.
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jake sold 28 tickets to the school fair, and jeanne sold 21 tickets. what is the ratio,in simplest form
The ratio of the number of tickets sold by Jake to the number of tickets sold by Jeanne in the simplest form, will be 4:3
The ratio of the number of tickets sold by Jake to the number of tickets sold by Jeanne is 28:21.
To simplify this ratio, we can divide both numbers by their greatest common factor (GCF). The GCF of 28 and 21 is 7.
So, the simplified ratio is 28/7: 21/7 = 4:3
So the ratio of the number of tickets sold by Jake to the number of tickets sold by Jeanne is 4:3 in simplest form.
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what is the probability that a car will get exactly 22 miles-per-gallon?
As we are already given that the population of gas mileage follows a normal distribution with a mean of 24 miles per gallon and a standard deviation of 6 miles per gallon, i.e., μ = 24 and σ = 6. We need to find the probability that a car will get exactly 22 miles-per-gallon.
We know that the probability density function for the normal distribution is given by: f(x) = (1/σ√(2π))e^(-(x-μ)²/2σ²)Putting the given values in the above formula: f(x) = (1/6√(2π))e^(-(x-24)²/2(6)²).
We need to find f(22), so putting x = 22 in the above formula, we get: f(22) = (1/6√(2π))e^(-(22-24)²/2(6)²)f(22) = (1/6√(2π))e^(-4/36)f(22) = (1/6√(2π))e^(-1/9)f(22) = (1/6√(2π)) × 0.8767 (rounded off to four decimal places) f(22) = 0.0451 (rounded off to four decimal places).
Therefore, the probability that a car will get exactly 22 miles-per-gallon is 0.0451 or 4.51% (rounded off to two decimal places).
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If skim milk is 87% water, how many cups of skim milk contain 3. 58 cups of water? round your answer to the nearest hundredth.
Total 4.11 cups of skim milk contains 3.58 cups of water.
Given,
Skim milk contain 87% of water = 0.87
To find : Total no. of Cups of skim milk that contain 3.58 cups of water.
We know that ,
1 cup = 250 ml
Therefore, 3.58 cups into ml = 3.58 x 250 = 895 ml
According to the question,
895 = 87% of x
895 = 0.87(x)
x = 1,028.73 ml
To know the amount of skim milk, let's convert it into cups.
1,028.73 ml ÷ 250 ml = 4.11 cups
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In Triangle PQR, PQ = 9, QR = 10, and RP = 12. What is the smallest angle of this triangle?
Answer:
R
Step-by-step explanation:
Help please. I’ll give brainliest.
Answer:
your answer is 1/343 in decimal form it is 0.00291545
Can someone help me with the picture in the question?- i tried doing it but it was wrong
Answer:
\(1\frac{2}{3}\)
5x\(\frac{1}{3}\)= \(\frac{5}{3}\)= \(1\frac{2}{3}\)
Step-by-step explanation:
the width is 1/3, so 3 squares make up one whole square and 5-3=2.
So, the answer is \(1\frac{2}{3}\). because there are 2 more 1/3 squares left
V9030NOOIL NOXIAExample 5: Last week, Danielle spent x dollars on lunch, three times as much on transportation as she did onlunch, and $4 less on book than she did on transportation. How much did Danielle spend on lunch if she had$59 total to spend
Danielle spent x dolar on lunch.
Three times as much on transportation, which can be written as 3x
Then,$4 less on a book that she did on transportation, so 3x-4
If she spent $59, we can equal all the expressions to this value.
Therefofore:
x + (3x) +(3x-4) = 59
To find how much she sped on lunch, we need to solve for x:
x + 3x + 3x - 4 = 59
Solve the like terms:
7x -4 = 59
Add both sides 4 units:
7x -4 +4 = 59 + 4
7x = 63
Divide both sides by 7:
7x/7 = 63/7
x = 9
Hence, Danielle spent $9 dollars on lunch.
Gary works as a sales representative in a clothing store. He gets a fixed salary of $1,500 per month. He also gets a commission of 10% of his sales.
The equation of the line that represents the total amount of money he earns per month, y, in terms of the value of his total sales, x, is y =
x
.
Answer:
y= 1,500 + 0.1x
Step-by-step explanation:
Earnings = $1,500 + Sales * 10%
Let earnings = y and sales = x
Answer:
y=0.1 x +1,500
Step-by-step explanation:
Correct Plato answer-Equations of a Line
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
helpp me pleasee ╹◡╹
Answer:
y=4x
Step-by-step explanation:
X would be the blue and the 4 represents the number of which each blue is increased by.
4(1)=4
4(2)=8
4(3)=12
4(4)=16
4(5)=20
and so on
hope this helped
how does an understanding of functions and multiple relationships empower you to be an informed consumer?
The functions and multiple relationships are discussed below.
Understanding functions and multiple relationships can empower you to be an informed consumer in several ways:
1. Predicting outcomes: Functions allow you to analyze and predict how one variable will change based on changes in another variable. This can help you make informed decisions about how changes in price, quantity, or other factors will affect the outcome you are interested in, such as cost, savings, or product performance.
2. Comparing options: By understanding how variables relate to each other through functions, you can compare different options or products based on their characteristics and make more informed choices.
3. Analyzing trends: Functions and multiple relationships can help you identify trends and patterns in data. By analyzing historical data or market trends, you can make predictions about future outcomes and make decisions accordingly.
4. Evaluating offers and promotions: Functions can help you assess the validity and value of offers and promotions. By analyzing the relationship between the regular price, discounted price, and any additional benefits, you can determine whether the offer provides a genuine savings or if it's a marketing tactic.
Overall, understanding functions and multiple relationships allows you to analyze data, make predictions, and evaluate options more effectively. It helps you make informed decisions based on evidence, reason, and a deeper understanding of how variables interact and impact the outcomes you care about as a consumer.
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The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
31.5 36.0 37.8 38.5 40.1 42.234.2 36.2 38.1 38.7 40.6 42.534.7 37.3 38.2 39.5 41.4 43.435.6 37.6 38.4 39.6 41.7 49.3
(a) Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers?
Answer:
Explained below.
Step-by-step explanation:
The data provided is as follows:
S = {31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7. 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3}
Compute the mean and standard deviation as follows:
\(\mu=\frac{1}{n}\sum X=\frac{1}{24}\times [31.5+36.0+37.8+...+49.3]=38.88\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{24-1}\times 299.639584}=3.61\)
(a)
Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon as follows:
\(z=\frac{X-\mu}{\sigma}\)
\(=\frac{32.3-38.88}{3.61}\\\\=-1.823\)
Thus, the z-score corresponding to the individual who obtained 32.3 miles per gallon is -1.823.
(b)
The data set arranged in ascending order is:
S = {31.5 , 34.2 , 34.7 , 35.6 , 36 .0, 36.2 , 37.3 , 37.6 , 37.8 , 38.1 , 38.2 , 38.4 , 38.5 , 38.7 , 39.5 , 39.6 , 40.1 , 40.6 , 41.4 , 41.7 , 42.2 , 42.5 , 43.4 , 49.3}
The set consists of 24 values.
The first and third quartile are:
\(Q_{1}=[\frac{n+1}{4}]^{th}\ obs.=[\frac{24+1}{4}]^{th}\ obs.=12.5^{th}\ obs.=\frac{36.2+ 37.3}{2}=36.75\\\\Q_{3}=[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(24+1)}{4}]^{th}\ obs.=18.75^{th}\ obs.=\frac{40.6+41.4}{2}=41\)
Thus, the value of Q₁ is 36.75 and Q₃ = 41.
(c)
Compute the inter-quartile range as follows:
\(IQR=Q_{3}-Q_{1}=41-36.75=4.25\)
The inter-quartile range is 4.25.
The inter-quartile range is the amount of data that is contained within the middle 50% of a set of observations, when arranged in order. It is the distance between the first and third quartile.
(d)
Compute the values of lower and upper fences as follows:
\(\text{Lower fence}=Q_{1}-1.5\times IQR=36.75-(1.5\times 4.25)=30.375\approx 30.38\\\\\text{Upper fence}=Q_{3}+1.5\times IQR=41+(1.5\times 4.25)=47.375\approx 47.38\)
Any values that are less than the lower fence or more than the upper fence are considered as outlier.
Consider the arranged data set.
Only one value is more than the upper fence, 47.38, i.e. 49.3.
So, yes there is one outlier, i.e. 49.3.
what's the volume of this cone?
41.9 ft 3
125.6 ft 3
240 ft 3
501.4 ft 3
Answer:
41.9 ft 3
Step-by-step explanation:
because i just know
what the frige please help
Answer:
Your answer is A, 3x - 2x.
Step-by-step explanation:
Triple a number means to multiply it by 3.
Double a number means to multiply it by 2.
Difference means to subtract.
Hope this helps!
Answer:cim not sure tho
Step-by-step explanation:
Hi! I am confused about this question…. Can someone explain it to me please?
30 points
Answer:
20 tins
Step-by-step explanation:
Since EACH dog eats 3/5 of a tin each day, that means that 3/5 + 3/5 or 6/5 of a tin is eaten everyday. Now that we know the daily amount, multiply it by 16 to find the number of tins for 16 days:
16* 6/5 = 19.2. Since we have to find the number of least entire tins, we round up to 20 tins.
Making Inferences from Multiple Samples
Solve each problem.
1 A biologist is studying diseases in chimpanzees. He takes three random samples of the same size
from a troop of 150 chimpanzees. One sample indicates that 3% of the chimpanzees are hairless,
another sample indicates that 5% are hairless, and a third sample indicates that 4% are hairless.
How many hairless chimpanzees should the biologist expect to find in the troop?
Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the mean of each sample is as follows: 3%, 5% and 4%.
Hence, from all samples, the mean should be expected to be of:
(3% + 5% + 4%)/3 = 4%.
Out of 150 chimpanzees:
0.04 x 150 = 6.
The biologist should be expected to find 6 hairless chimpanzees in the troop.
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can someone please help
The coordinates of K such that JK is 2/9 of JL are given as follows:
K(3, -4).
How to obtain the coordinates of K?The coordinates of K are obtained applying the proportions in the context of the problem.
Considering that JK is 2/9 of JL, the equation is given as follows:
K - J = 2/9(L - J).
Hence the x-coordinate of K is obtained as follows:
x + 3 = 2/9(24 + 3)
x + 3 = 6
x = 3.
The y-coordinate of K is obtained as follows:
y - 4 = 2/9(-32 - 6)
y - 4 = -8
y = -4.
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Which of the following statements are true? (Select all thatapply.)
1. For the total linear momentum of a system to be conserved, theremust be no external forces acting on the system.
2. The total linear momentum of a system may be conserved even whenthe mechanical energy of the system is not.
3. The velocity of the center of mass of a system changes only whenthere is a net external force on the system.
4. None of these statements are true.
I thought that the 1 was true because of the law of conservation ofmomentum and 3 was true because if the total momentum of a systemremains constant, then the velocity of the center of mass of thesystem remains constant, and you need an external force to changemomentum.
I also though 2 was false.
In summary, the correct statements are 1 and 3. The conservation of momentum requires no external forces acting on a system, while the velocity of the center of mass changes only in the presence of a net external force.
To determine the validity of the given statements, let's break them down and provide a more readable explanation:
1. For the total linear momentum of a system to be conserved, there must be no external forces acting on the system.
This statement is true. According to the law of conservation of momentum, the total linear momentum of an isolated system remains constant if there are no external forces acting on it. Mathematically, this can be expressed as:
ΣP_initial = ΣP_final
where ΣP_initial is the initial total momentum of the system and ΣP_final is the final total momentum of the system.
2. The conservation of momentum depends on the conservation of energy.
This statement is false. The conservation of momentum is a separate principle from the conservation of energy. While both concepts are important in physics, they are distinct and independent of each other. Conservation of momentum is related to the balance of linear motion, while conservation of energy deals with the balance of different forms of energy in a system.
3. The velocity of the center of mass of a system changes only when there is a net external force on the system.
This statement is true. The center of mass of a system is a point that represents the average position of all the mass in the system. The velocity of the center of mass can only change if there is a net external force acting on the system. In the absence of external forces, the center of mass will continue to move with a constant velocity. This principle is derived from the conservation of momentum.
4. The correct statements are 1 and 3, because statements 1 and 3 are true.
This statement is true. Based on the explanations above, statements 1 and 3 are indeed true. Statement 2 is false because conservation of momentum does not depend on the conservation of energy. Therefore, statement 4 is also false.
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Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x).
..........................
.........
.....
....
I WILL MARK BRAINLIEST
Answer:
\(\frac{81}{m^7}\)
Step-by-step explanation:
We have a certain expression and are asked to find its equivalent with the answers provided :
\((3m^{-4} )^3(3m^5)\)
Remove the parenthesis around 3m^5 :
\((3m^{-4} )^3*3m^5\)
Do the exponent rule for outside and inside exponent parenthesis :
\((3m^{-4*3} )\)
\(3^3m^{-12} *3m^5\)
Apply addition exponent rule :
\(m^{-12} *3^{3+1} m^5\)
Add :
\(m^{-12} *3^4m^5\)
Apply the addition rule for -12 + 5 :
\(3^{4} m^{-7}\)
Apply negative exponent rule for m^-7 :
\(3^4*\frac{1}{m^7}\)
Multiply the fractions :
\(\frac{1*3^4}{m^7}\)
\(\frac{81}{m^7}\)
Line l contains points (2,4) and (5,1). Point P has coordinates (1,1). Find the distance from P to l.
The least distance from point P to line l is approximately equal to 3.536 units.
How to find the least distance between a line and a point outside the line
There are several ways to calculate the least distance, in this case we decided to use the approach based on vectors and projections. First, we generate two auxiliary vectors:
Vector parallel to the line l
\(\overrightarrow {AB} = (5, 1) - (2, 4)\)
\(\overrightarrow{AB} = (3, - 3)\)
A vector from one point on the line l to the point P
\(\overrightarrow{AP} = (1, 1) - (2, 4)\)
\(\overrightarrow {AP} = (- 1, - 3)\)
Now we proceed to find the vector distance by using the following vectorial formula:
\(\vec d = \frac{\overrightarrow{AP} \,\bullet\, \overrightarrow {AB}}{\overrightarrow {AB} \,\bullet \,\overrightarrow {AB}} \cdot \overrightarrow{AB} - \overrightarrow {AP}\)
\(\vec d = \frac{(-1)\cdot (3) + (- 3) \cdot (- 3)}{3^{2}+ (-3)^{2}} \cdot (3, - 3) - (-1, - 3)\)
\(\vec d = - \frac{1}{6}\cdot (3, - 3) - (- 1, - 3)\)
\(\vec d = \left(-\frac{1}{2}, \frac{1}{2} \right) + (1, 3)\)
\(\vec d = \left(\frac{1}{2}, \frac{7}{2} \right)\)
The magnitude of the vector distance is determined by Pythagorean theorem:
\(d = \sqrt{\left(\frac{1}{2} \right)^{2}+\left(\frac{7}{2} \right)^{2}}\)
d ≈ 3.536
The least distance from point P to line l is approximately equal to 3.536 units.
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-4<3x+5<=11
Solve the inequalities
Answer:
-3<x</2
Step-by-step explanation: the slash is the line.
38. What method does Loewen use to detect falsehoods in textbooks, i.e. how does he go about in detecting that the texts contain distortions and significant silences?
Loewen utilizes a systematic approach to identify falsehoods in textbooks by detecting distortions and significant omissions.
Loewen employs a rigorous method to evaluate textbooks for inaccuracies and biases. He critically analyzes the content, looking for distortions, manipulations, and significant silences that may perpetuate misinformation or create a biased narrative. Loewen focuses on identifying factual errors, misleading interpretations, and intentional omissions of crucial historical events or perspectives.
To accomplish this, Loewen compares multiple textbooks, cross-referencing information to verify its accuracy. He also consults primary sources and scholarly works to fact-check claims and fill in gaps left by the textbooks. By scrutinizing the content through multiple lenses and employing a comprehensive research approach, Loewen aims to uncover distortions and significant omissions that may shape students' understanding of history and perpetuate a biased or incomplete narrative. His method ensures a thorough examination of textbook content, promoting critical thinking and an accurate representation of historical events.
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PLEASE HELP- GRAPH THE INVERSE OF THE FUNCTION SHOWN BELOW.
Answer:
-1.0
Step-by-step explanation:
dont no the explanation
Which value of w is the solution to the question? 2w-5=w+10
Answer:
w = 15
Step-by-step explanation:
2w - w = 10+5
w = 15
simple!
Whats the product of 1/4 x 1/3