Answer:
Point Form:
(−3,−1)
Equation Form:
x=−3,y=−1
Step-by-step explanation:
if there are 95 students in a school and there are 12 classes how many students are in each class
Answer:
11 classes will have 8 students, 1 class will have 7 students
Step-by-step explanation:
Take the total number of students and divide by the number of classes
95 / 12 =7.916666
Most classes will have 8 students, 1 class will have 7 students
Pls help I will give you brainliest! I keep getting bots pls help
Given:
The quadratic equation is:
\(16x^2-20x-6=0\)
To find:
The correct values for the quadratic formula.
Solution:
If a quadratic equation is \(ax^2+bx+c=0\), then the quadratic formula is:
\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)
We have,
\(16x^2-20x-6=0\)
Here, \(a=16,b=-20, c=-6\). Substituting these values in the above quadratic formula, we get
\(x=\dfrac{-(-20)\pm \sqrt{(-20)^2^2-4(16)(-6)}}{2(16)}\)
Therefore, the quadratic formula for the given equation is \(x=\dfrac{-(-20)\pm \sqrt{(-20)^2^2-4(16)(-6)}}{2(16)}\).
chance tries to run 3 miles a day he ran 1525 yards in the morning and 1775 yards in the afternoon how many yards does he need to run
Step-by-step explanation:
1525 yards + 1775 yards = 3,300 miles.
3300 yards = 1.875 miles (exactly)
3 miles subtract 1.875 miles = 1.125 miles.
Therefore Chance needs to run 1.125 miles or 1,980 yards more.
Given an equation as follows: \[ R \frac{d i}{d t}+L \frac{d^{2} i}{d t^{2}}+\frac{1}{C} i=\frac{d V}{d t} \] Convert the linear ODE to block diagram. Fill in the blank
Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.
The given equation is R(di/dt)+L(d²i/dt²)+(1/C)i = dV/dt.
The block diagram is an essential tool in the analysis and design of dynamic systems. The blocks represent the interconnected subsystems of the system.
The interconnections and external inputs and outputs are shown by the connections between the blocks.The block diagram representation of the equation R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt is given below.
Therefore, the block diagram representation of the given equation is as follows:
Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.
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Find the volume of this solid
A. 27,600
B. 20,400
C. 21,000
D. 1,700
One important use of the regression line is to do which of the following? Choose the correct answer below. O To make predictions about the values of y for a given x-value O To determine the strength of a linear association between two variables O To determine if a distribution is unimodal or multimodal
O Both A and B are correct
The regression line is a line that best fits through a set of data points. It is used to make predictions about the values of y for a given x-value, as well as to determine the strength of a linear association between two variables.
The formula for calculating the regression line is y = mx + b, where m is the slope of the line, x is the independent variable, and b is the y intercept. The regression line is a line that best fits through a set of data points. It is used to make predictions about the values of y for a given x-value, as well as to determine the strength of a linear association between two variables. The calculation involves finding the slope of the line, which can be done by calculating the difference in y-values divided by the difference in x-values for two points on the line, and then finding the y-intercept, which is done by plugging in the slope and one of the points into the equation y = mx + b. This equation can then be used to predict the value of y for any given x-value.
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Marvin saw a rug in a store that he would like to purchase. It has an area represented by the expression shown on the rug. He cannot remember the length and width, but he remembers that the length and the width were the same. a. Factor the expression that represents the area of the rug. b. What do the factors in the factored expression represent. ( x²-16x + 64)
The area of the rug, represented by the quadratic expression, x² - 16·x + 64, indicates;
a. The factored expression is; x² - 16·x + 64 = (x - 8)·(x - 8)
b. The factors (x - 8) and (x - 8) in the factored expression represent the length and the width of the rug.
What is a quadratic expression?A quadratic expression is an expression of the form; a·x² - 16·x + 64, where a ≠ 0, and a, b, and c are numbers.
The possible expression for the area of the rug is the quadratic expression; (x² - 16·x + 64)
The length of the rug = The width of the rug
a. The factor of the expression in the question, (x² - 16·x + 64), can be obtained by finding the numbers that have a product of 64 and a sum of -16
The possible number is therefore; 8
-8 × -8 = 64
-8 - 8 = -16
Therefore, we get; (x - 8) × (x - 8) = (x² - 16·x + 64)
The factored expression is therefore; (x² - 16·x + 64) = (x - 8) × (x - 8)
b. The measure of the factors are the same; (x - 8) = (x - 8)
Whereby; x² - 16·x + 64 represents the area of the carpet and the lengths and the width of the of carpet are the same, therefore;
The length of the carpet = (x - 8)
The width of the carpet = (x - 8)
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Please help. I don't know the answer
Answer:
The answer is 3x+4y<-12
Step-by-step explanation:
The length of a rectangle is 3x +2 and the width of the rectangle is 6x-1. Express the
perimeter of the rectangle in terms of x.
Answer:
2(3x+2+6x-1)
=2(9x+1)
=18x+2
The U.S. government authorizes private contractors to audit bills paid by Medicare and Medicaid. The contractor audits a random sample of paid claims and judges each claim to be either fully justified or an overpayment. One of the authors of your textbook served as a statistical consultant in connection with one audit. We cannot share the health care provider for reasons of confidentiality, but the results of the audit are detailed here. First, claims were categorized as either small or medium claims, then a simple random sample of 30 claims was selected from each group. Fourteen of the small claims and eight of the medium claims were determined to be over-payments. We will use these data to answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?"
Introduction:The data involves auditing bills paid by Medicare and Medicaid. The audit is done on a random sample of paid claims. The auditor judges each claim to be either fully justified or an overpayment.
Then, a simple random sample of 30 claims is selected from each group. Fourteen of the small claims and eight of the medium claims were determined to be over-payments. We will use these data to answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?"Explanation:To answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?", we need to perform a hypothesis test.
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PLS HELP. If the spinner shown below was used 100 times, how many times can you expect to spin a number greater than 3?
3
60
2
40
Answer:
1/5 of the times or 20 times
Step-by-step explanation:
because there are 5 sections and 1 possible answer, the answer is 100/5 and that is 20
What is the volume of the right rectangular prism?
15 mm
Î
Area of base = 49 sq. mm
O 64 mm³
3
O 128 mm³
O 735 mm³
O 1,470 mm³
Answer:
735mm³
Step-by-step explanation:
V=A of base×h
=49×15
=735mm³
2 A square window in Miranda's
house has an area of 225 in2.
What is the perimeter of the
window?
Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3
If A and B are 8 × 9 matrices, and C is a 3 × 8 matrix, which of the following are defined? A. B+ A B. AC
C. C-B
D. BT E. ABT
F. CB
Due to the difference in the number of columns in A and B, the operation B+A is not defined. ACC - This operation cannot be defined because A's number of columns and C's number of rows are not equal.
What do you mean by matrix?A matrix is a row-and-column-organized rectangular array containing numbers, symbols, or expressions. In mathematics, science, and engineering, matrices are frequently used to represent and manipulate data as well as to resolve linear equation systems.
The following are defined given that A, B, and C are all 8 by 9 matrices:
A. B+A - This operation is not described because A and B have different numbers of columns.
B. ACC - This operation is undefinable since A's number of columns and C's number of rows are not equal.
C. C-B - This operation is not described because C has more rows than B does because B has more columns.
D. Assuming B is a matrix with a diagonal of 9, this operation is defined and produces a matrix with a diagonal of 3.
E. AB - This operation is known as AB if A's number of columns and B's number of rows are equal. The outcome is an 8 by 9 matrix.
F. CB - If the number of columns is 1, then this operation is defined.
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Due to the difference in the number of columns in A and B, the operation B+A is not defined. ACC - This operation cannot be defined because A's number of columns and C's number of rows are not equal. C-B - This operation is not described because C has more rows than B does because B has more columns.
What do you mean by matrix?A matrix is a row-and-column-organized rectangular array containing numbers, symbols, or expressions. In mathematics, science, and engineering, matrices are frequently used to represent and manipulate data as well as to resolve linear equation systems.
The following are defined given that A, B, and C are all 8 by 9 matrices:
A. B+A - This operation is not described because A and B have different numbers of columns.
B. ACC - This operation is undefinable since A's number of columns and C's number of rows are not equal.
C. C-B - This operation is not described because C has more rows than B does because B has more columns.
D. Assuming B is a matrix with a diagonal of 9, this operation is defined and produces a matrix with a diagonal of 3.
E. AB - This operation is known as AB if A's number of columns and B's number of rows are equal. The outcome is an 8 by 9 matrix.
F. CB - If the number of columns is 1, then this operation is defined.
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as part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 400 red marbles. she tells the students the bag contains 1100 total marbles, and asks her students to determine how many red marbles are in the bag without counting them.
By using the concept of probability, it can be determined that there are approximately 400 red marbles in the bag.
To determine the number of red marbles in the bag without counting them, we can utilize the concept of probability. The probability of drawing a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles in the bag. In this case, there are 400 red marbles and 1100 total marbles, resulting in a probability of 400/1100.
Since the probability is a ratio, we can use it to estimate the number of red marbles in the bag. Multiplying the probability by the total number of marbles in the bag gives us an estimate of the number of red marbles. Therefore, by multiplying (400/1100) by 1100, we find that there are approximately 400 red marbles in the bag.
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The length of a postage stamp is
4 1/4
mm longer than its width. The perimeter of the stamp is
124 1/2
mm. Write an equation that represents the perimeter in terms of its width w. What is the width of the postage stamp? What is the length of the postage stamp?
Which equation represents the perimeter in terms of the width w?
A.
2w+(2w+124 1/2)=4 1/4
B.
2w+2(w+4 1/4)=124 1/2
C.
2w−2(w+4 1/4)=124 1/2
D.
w(w+4 1/4)=124 1/2
=========================================
Explanation:
L = length
W = width
"The length is 4 1/4 longer than the width" (paraphrase) so
L = W + 4 1/4
This means,
P = perimeter = 124 1/2
P = 2L+2W
2L+2W = P
2W+2L = P
2W+2( L ) = P
2W+2( W+4 1/4) = 124 1/2
Type the correct answer in the box. Use numerals instead of words.
For this item, if the answer is not a whole number, enter it as a fraction in simplest form using / as the fraction bar.
Isolde is stacking books. The stack of books forms a rectangular prism.
Each book is the same size. Isolde knows the area of the base of one book is 22 1/2 square inches and each book is 3/4 inch thick.
The volume of a stack of 9 books is cubic inches.
The volume of a stack of 9 books is 1368.75 cubic inches.
Volume of a book stackTo find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.
Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.
Therefore, the volume of the stack of 9 books is:
Volume = Area of base x heightVolume = (202 1/2 square inches) x (6 3/4 inches)Volume = 1368.75 cubic inchesMore on volume of stacked books can be found here: https://brainly.com/question/1058070
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what is tablespoon to ounces?
There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.
A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.
In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.
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help me bro fr i need dis done
Answer: 6^5 = 6^3 * 6^2
When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.
What is the value of the expression 200^-3
Answer:
1/200^3 or 1 /8,000,000
Step-by-step explanation:
How to solve your problem: 8d+d+3d+2+4d
Answer:
d= -1/8
Step-by-step explanation:
8d+d+3d+2+4d= 16d+2
16d= -2
d= -1/8
Max and Jay Are running a lemonade stand they spent $12 on all the material and charge $1.50 for each cup of lemonade write an equation that will allow you to calculate the profit (P) if you are told the number of cups (c) that are sold.
Answer:
P = $1.50c - $12
Step-by-step explanation:
profit = total revenue - total cost
total revenue = price per cup x total cup sold = $1.5 x c = 1.5c
Cost = $12
For Questions 16 – 18, refer to the problem below. Consider the following set of simultaneous equations. 3x − 4y = −42 (i)
2x + 6y = 50 (ii)
16. If x is made the subject of the formula in equation (ii), then:
A x = 3y + 25 B x = −3y + 25 C x = −6y + 50 D x = −3y − 25
17. If x is eliminated in equation (i) then:
A −13y = −117 B 13y = −117 C 15y = 124
D 16y = 215
Answer:
Step-by-step explanation:
36 people pay a total of 1936 to visit the theatre. If each person pays the
same amount, how much does each person pay?
Answer:
53.78
Step-by-step explanation:
\( \frac{1936}{36} = 53.777778 \\ = 53.78\)
In a group of 40 students, the probability that at most 1 of them like to hikeis 54%. What is the probability that at least 16 of them like to hike?A. 46%B. 62%C. 38%D. 55%
SOLUTION:
Step 1:
In this question, we are given the following:
In a group of 40 students, the probability that at most 1 of them like to hike
is 54%. What is the probability that at least 16 of them like to hike?
A. 46%
B. 62%
C. 38%
D. 55%
Step 2:
The details of the solution are as follows:
Therefore, the remaining possibility is the probability for at least 16 of them like to hike.
CONCLUSION:
The final answer is:
\(46\text{ \% \lparen OPTION A \rparen}\)Which of the following is not a phase in the planning of both statistical and non-statistical sampling?
A) Plan the sample.
B) Determine the probability that fraud has occurred.
C) Select the sample and perform the tests.
D) Evaluate the results
The phase that is not a part of the planning process for both statistical and non-statistical sampling is determining the sample size.
What aspect is excluded from planning both statistical and non-statistical sampling?Determining the sample size is an essential step in statistical sampling, as it involves calculating the number of observations needed to ensure statistical validity. However, in non-statistical sampling, the focus is on selecting specific cases or items for examination based on subjective criteria, rather than relying on statistical principles or sample size calculations. Instead, non-statistical sampling emphasizes judgment and expert knowledge to choose representative samples. By excluding the determination of sample size, non-statistical sampling allows for greater flexibility and adaptability in the sampling process, enabling a more tailored approach to the specific objectives of the study or investigation.
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Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $4 for every cake she bakes. She made $60 this week. Write an equation to show how many cakes Sam baked this week
An equation is formed of two equal expressions. The number of cakes that are made by Sam this week is $10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Sam gets paid $20 a week in addition to $4 for every cake she bakes. Let y be the total amount that is made by Sam this week, while x represents the number of cakes she bakes. Therefore, the equation for the total amount made by sam in a week can be written as,
y = 20 + 4x
Since her total income for this week is $60, therefore, we can write,
60 = 20 + 4x
40 = 4x
x = 10
Hence, the number of cakes that are made by Sam this week is $10.
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What are the coordinates of the point on the directed line segment from (6,2) to (8,−10) that partitions the segment into a ratio of 1 to 3?
The coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).
To find the coordinates of the point on the directed line segment that partitions it into a ratio of 1 to 3, we can use the concept of section formula.
The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in the ratio of m₁ : m₂, then the coordinates of the dividing point P are given by:
Px = (m₁ * x₂ + m₂ * x₁) / (m₁ + m₂)
Py = (m₁ * y₂ + m₂ * y₁) / (m₁ + m₂)
In this case, the ratio is 1:3, which means m₁ = 1 and m₂ = 3. The given points are A(6, 2) and B(8, -10). Substituting these values into the formula, we can calculate the coordinates of the dividing point P:
Px = (1 * 8 + 3 * 6) / (1 + 3) = 7
Py = (1 * -10 + 3 * 2) / (1 + 3) = -2/2 = -1
Therefore, the coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).
To find the coordinates of the point that divides the line segment between (6, 2) and (8, -10) in a 1:3 ratio, we can use the section formula. Applying the formula, where m₁ is 1 and m₂ is 3, the point P(x, y) can be determined.
By substituting the values into the formula, the x-coordinate is calculated as (1 * 8 + 3 * 6) / (1 + 3) = 7, and the y-coordinate is (1 * -10 + 3 * 2) / (1 + 3) = -1. Thus, the coordinates of the point that partitions the line segment into a ratio of 1 to 3 are (7, -1).
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twenty four less than two times a number x.. pls help.
Answer:
24-2x
Step-by-step explanation:
Answer:
The equation is written as follows:
2x-24