Answer:
do you have an image of the question?
When finding the quotient of 5016 divided by 11, Issac first divides 50 by 11 as shown. What value does the digit 4 have in the quotient?
Answer:
I'm not sure, but the quotient is divided, so 5016/11
Step-by-step explanation:
5016/11, and then 50/11, and find out the answer.
You moved 5 units north, 3 units west, and ended at point D.
Where did you begin?
A) Point E
B) Point A
C) Point B
D) Point D
The required point of the beginning is given as Point A. Option B is correct.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
When you move 5 units north, you increase the y-coordinate by 5. When you move 3 units west, you decrease the x-coordinate by 3. So, if you start at an unknown point and move 5 units north and 3 units west, your final position would be at a point with the coordinates (x - 3, y + 5).
Since you ended at point D, and the final coordinates are not given, we cannot determine the starting point without more information.
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difference between twice a number and another number is 8, find the minimul product between the two numbers as well as the two numbers
The minimum product between the two numbers is 0 and the two numbers are 4 and 0.
here 1st number is x
and 2nd number is y
and the difference between twice a number and another number is 8 so 2x-y = 8
minimum value of
xy
= x(2x-8)
here the eqn is x(2x-8)
and we have to find its minima
If we have a formula expressed as y= ax2+bx+c , we can find the minimum of the quadratic equation according to the following formula: The minimum value is min= c-b2 /4a.
and the minima is at x=4
here the minimum value will be 0
so either value of x=0 or x= 4;
first number is 4 and second is 0
and product of x*y = 0;
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Divide 36x5 − 44x4 − 28x3 by 4x2.
Answer:-
36*5= 180
44*4= 176
28*3= 84
4*2=8
180-176-84= (-80)
-80/8=(-10)
Step-by-step explanation: Hope this helps. Mark me brainliest :)))
The area of a rectangle is given by the equation 2L^2+L=45, in which L is the rectangle's length. What is the length of the rectangle?
Answer:
L = 4.5
Step-by-step explanation:
You can rewrite the equation as 2L^2 + L - 45 = 0 and then solve using the quadratic formula
L = (-1 plus or minus the sq root of 361) / 4
L = (-1 plus or minus 19) / 4
L = -5 or 4.5 but lengths can't be negative so the length is 4.5
A die with six faces has the number 1 painted on three of its faces, the number 2 painted on two of its faces, and the number 3 painted on one face. Assume that each face is equally likely to come up.
(a) Find the sample space for this experiment.
(b) Find P(odd number).
(c) If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces:
(i) Find the probability of the single events.
(ii) Find P(even number).
Assuming that each face is equally likely to come up.
(a) The sample space for this experiment = {1, 2, 3}
(b) P(odd number) = 2/3
(c) If the die were loaded so that the face with the 3 on it was twice as likely to come up as each of the other five faces:
(i) The probability of the single events, P(3) = 2/7
(ii) P(even number) = 1/3
(a) The sample space for this experiment is the set of all possible outcomes, which are the numbers 1, 2, and 3 that can appear on the face of the die.
Sample space = {1, 2, 3}
(b) To find the probability of getting an odd number, we need to find the probability of getting a 1 or a 3. There are 3 faces with the number 1 and 1 face with the number 3, so there are 3 + 1 = 4 faces that result in an odd number. There are 6 faces total, so the probability of getting an odd number is 4/6 = 2/3.
P(odd number) = 2/3
(c)
(i) If the die were loaded so that the face with the 3 on it was twice as likely to come up as each of the other five faces, then each of the other five faces would have a probability of 1/7 of coming up, and the face with the 3 on it would have a probability of 2/7 of coming up.
P(1) = P(2) = 1/7
P(3) = 2/7
(ii) To find the probability of getting an even number, we need to find the probability of getting a 2. There are 2 faces with the number 2, so there are 2 faces that result in an even number. There are 6 faces total, so the probability of getting an even number is 2/6 = 1/3.
P(even number) = 1/3
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The average height and average weight of five students are presented in the table. Height (in cm) Weight (in kg) Student 1 172 62 Student 2 173 65 Student 3 175 64 Student 4 176 66 Student 5 177 65 The calculation for the correlation, r, for this set of five students is __________. Answer choices are rounded to the hundredths place.
The correlation coefficient for this set of five students is approximately 0.95.
How to calculate the correlation coefficient (r) for this set of data.
First we can use the formula:
r = [nΣ(xy) - ΣxΣy] / [√{nΣx^2 - (Σx)^2} √{nΣy^2 - (Σy)^2}]
Where
n is the sample size Σ represents the sum x and y are the variables of interest (in this case, height and weight)xy represents the product of x and y for each observationUsing the values given in the table, we can calculate the necessary sums and products:
n = 5
Σx = 173 + 172 + 175 + 176 + 177 = 873
Σy = 62 + 65 + 64 + 66 + 65 = 322
Σx^2 = 173^2 + 172^2 + 175^2 + 176^2 + 177^2 = 150367
Σy^2 = 62^2 + 65^2 + 64^2 + 66^2 + 65^2 = 20410
Σ(xy) = (172)(62) + (173)(65) + (175)(64) + (176)(66) + (177)(65) = 56209
Plugging these values into the formula for r, we get:
r = [5(56209) - (873)(322)] / [√{5(150367) - (873)^2} √{5(20410) - (322)^2}]
Simplifying the numerator and denominator:
r = [281045 - 280506] / [√{5(150367) - (873)^2} √{5(20410) - (322)^2}]
r = 0.95 (rounded to the hundredths place)
Therefore, the correlation coefficient for this set of five students is approximately 0.95.
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Minka pours cup of milk on her oatmeal each day
for 7 days. Complete the number line. Draw a point
and write the number of cups that Minka pours as a
mixed number.
The number of cups of milk that Minka pours as a mixed number is found in the attached image.
What is the total number of cups of milk that Minka pours into her oatmeal?The total number of cups of milk that Minka pours into her oatmeal is calculated as follows:
First day = 1/4
Second day = 1/4 + 1/4
Second day = 2/4
Third day = 1/4 + 2/4
Third day = 3/4
Fourth day = 1/4 + 3/4
Fourth day = 4/4 or 1
Fifth day = 5/4 or 1/4 + 1
Fifth day = 1 1/4
Sixth day = 1/4 + 5/4
Sixth day = 1 1/2
Seventh day = 1/4 + 6/4
Seventh day = 7/4 or 1 3/4
Eight day = 1/4 + 7/4
Eight day = 8/4 or 2
The completed number line is found in the attached image
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Reflect (9, 3) across the y-axis.
Then reflect the result across the x-axis.
What are the coordinates of the final point?
Use the confidence level and sample data to find a confidence interval for estimating the population mean, . Round your answer to the same number of decimal places as the sample mean.
Test scores: n = 175, x¯¯¯=81
, σ=11.8
, 98% confidence
ANSWER CHOICES
A.(77, 85)
B.(79, 83)
C.(76, 86)
D.(72, 90)
Answer:
Step-by-step explanation:
We can use the formula for a confidence interval for the population mean:
CI = x¯¯¯ ± z*(σ/sqrt(n))
where:
x¯¯¯ is the sample mean, which is 81.
σ is the population standard deviation, which is 11.8 (assuming the sample is drawn from a normally distributed population).
n is the sample size, which is 175.
z is the z-score corresponding to the desired level of confidence, which is 2.33 for a 98% confidence level.
Substituting the known values, we get:
CI = 81 ± 2.33*(11.8/sqrt(175))
Calculating this expression, we get:
CI ≈ (79, 83)
Therefore, a 98% confidence interval for the population mean is approximately (79, 83).
Therefore, the answer is (B) (79, 83).
A pie chart should always show both the sum of all the pie pieces along with the data that comprise the pie slices.
True or False
The ideal pie charts should always show both the sum of all the pie elements along with the data that constitute the pie slices. Thus the statement in the question is true.
The circle diagram, often known as a pie chart, pie chart, or pie chart, is used to depict qualitative or discrete information. It is used to display the percentage of each variable's values' constituent parts.
To do this, divide the circle into sections proportionate to the relative frequency. Recognize the area of the circle that corresponds to each possible value of the variable as a component. It is characterized as an "exploded cake graph" because it divides the graph into its many components in order to shift one of the portions.
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Find the quotient. 1/4 2 2/3
i need help with this
Of the people in Maddie's family, 11 have been to Europe and 7 have been to Australia. 5 people have been to both Europe and Australia. How many people have been to Australia but not Europe?
Applying the knowledge of sets, the number of people that have been to Australia but not Europe is calculated as: 2.
How to Use Sets to Solve Word Problems?Let's call the number of people who have been to Europe "E" and the number of people who have been to Australia "A". We know that:
E = 11
A = 7
We also know that 5 people have been to both Europe and Australia, so they are counted in both E and A:
E = 11
A = 7
E ∩ A = 5
To find the number of people who have been to Australia but not Europe, we can use the formula:
A - (E ∩ A) = A - 5 = 7 - 5 = 2
Therefore, the 2 people have been to Australia but not Europe.
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find the rank, nullity, and bases of the range spaces and null spaces for each of the following matrices. you must show your work, or explain your thought process; a correct numerical answer is not sufficient.
If A is a matrix of order m × n, then
Rank of A + Nullity of A = Number of columns in A = n
Now, According to the question:
What is rank nullity theorem and range?The rank-nullity theorem states that the dimension of the domain of a linear function is equal to the sum of the dimensions of its range (i.e., the set of values in the codomain that the function actually takes) and kernel (i.e., the set of values in the domain that are mapped to the zero vector in the codomain).
What is range and null space of a matrix?The range null-space decomposition is the representation of a vector space as the direct sum of the range and the null space of a certain power of a given matrix.
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The given question is incomplete,
So, The question is:
What is rank nullity theorem and range and null space ?
Mr. Utivich needs to buy an equal number of canvasses and paint sets for a community center art class. Each canvas costs $4 and each paint set costs $7.25. If he has $120 to spend on the art supplies, then the inequality 4x+7.25x≤120
can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of canvasses and paint sets?
Answer:
Step-by-step explanation:
23x
Identify the domain of the function shown in the graph. A. x>0 B. x is all real numbers. C. -6≤x≤6 D. 0≤x≤8 16 11 EN 198 1 3 -8 15
The domain of the function is -6 ≤ x ≤ 6.
What is domain of a function?The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined.
A function is defined as the relationship between input and output, Where each input has exactly one output. The inputs are the elements in the domain. The co-domain of the function is the set of output values.
From the graph given the possible input values of x lies from -6 to 6.
Hence, the domain of the function is -6 ≤ x ≤ 6.
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What is the solution, if any, to the inequality |3x| >=0?
Answer:
Step-by-step explanation:
The inequality |3x| >= 0 simply states that the absolute value of 3x must be greater than or equal to zero.
Since the absolute value of any number must always be non-negative, this inequality is always true. That means any real number x satisfies the inequality |3x| >= 0.
Therefore, the solution to the inequality |3x| >= 0 is x ∈ R, where R represents the set of all real numbers.
D. Erin has two dogs, a beagle and a Great Dane. Her Great Dane weighs twice as much as the beagle plus 2 more pounds. If the Great Dane weighs 72 pounds, how much does the beagle weigh?
The weight of the beagle D. Erin has weighs 35 pounds.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
From the given information, Let the weight of the beagle is 'x'.
So, the weight of a Great Dane is (2x + 2) pounds.
Therefore, 2x + 2 = 72.
2x = 70.
x = 35 pounds.
So, The beagle weighs 35 pounds.
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When the level of confidence decreases, the margin of error
a. Stays the same
b. Becomes smaller
c. Becomes larger
d. Becomes smaller or larger, depending on the sample size
When the level of confidence decreases, the margin of error c. Becomes larger
The margin of error is a gauge of how uncertain a sample-based estimate is. It is impacted by the sample size and level of confidence and shows the potential difference between the estimate and the true population value. The user selects a level of confidence, which is commonly given as a percentage, when we want to generate a confidence interval for a population parameter, such as a mean or proportion. By selecting a degree of confidence of 95%, for instance, we are expressing our confidence that the true population parameter falls inside the interval.
Based on the level of confidence, and sample size the margin of error is determined. In order to account for greater uncertainty, a higher level of confidence necessitates a bigger margin of error, whereas a lower level of confidence necessitates a smaller margin of error. As a result, the margin of error rises as the level of confidence declines, indicating a wider range of values within which the true population parameter is expected to fall.
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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = e^x, x = 0, y = 3Pie; about the x-axis V =
The x-axis V is if cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis is 488.061745.
V = π/2 [18π² ln[3π] - 9π² + 1]
v = 488.061744630
Volume of the region is V = 488.061745.
The area of a thin cylindrical shell with height dr and radius f(x), where f(x) is the equation of the boundary curve, needs to be integrated over the range of x in order to get the volume produced by rotating a region about the y-axis using the cylindrical shell method.
Here, the interval's lower and higher boundaries are denoted by the letters a and b, while the boundary curve's equation is written as f(x). To acquire the volume, the integration must be run across the specified time frame.
The basic idea behind the cylindrical shell method is to build a series of cylindrical shells by wrapping the area around the y-axis, measure the volume of each shell, and then add all the volumes to get the total volume.
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Are the two triangles similar? How do you know?
A.)no
B.)yes; by AA
C.)yes; by SAS
D.)yes; by SSS
Answer:
No
Step-by-step explanation:
At least two sides will have to be the same.
. Order the following numbers from least to greatest: 3√2 , √3 − 1, √19 + 1, 6,
2√10 ÷ 5 and √14.
pls someone help me
The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
What is ascending order?An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.
Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.
We need to order them from least to greatest,
3√2 = 4.24
√3 − 1 = 0.73
√19 + 1 = 5.35
6
2√10 ÷ 5 = 1.26
√14 = 3.74
The order from least to greatest is :-
0.73, 1.26, 3.74, 4.24, 5.35 and 6
i.e.
√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
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A yogurt stand gave out 200 free samples of frozen yogurt, one free sample per person. The three sample choices were vanilla, chocolate, or chocolate & vanilla twist. 162 people tasted the vanilla and 115 people tasted the chocolate, some of those people tasted both because they chose the chocolate and vanilla twist. How many people chose chocolate and vanilla twist?
Answer:
77
Step-by-step explanation:
(V ∪ C) = V + C - (V ∩ C)
This is the same as: (V or C) = V + C - (V and C)
(V ∪ C) represents the number of people that chose chocolate or vanilla (or possibly both)
(V ∩ C) represents the number of people that chose chocolate and vanilla twist.
(V ∪ C) = V + C - (V ∩ C) ⇔ 200 = 162 + 115 - (V ∩ C)
(V ∩ C) = 162 + 115 - 200 = 77
let s(t) be the position of a particle in meters after t seconds. give the best approximate for the instantaneous velocity at 8 seconds. use this to approximate the position of the particle aftter 10 seconds.
The instantaneous velocity of the particle at 8 seconds is approximately the change in position over the change in time, or[tex]s(8+Δt) - s(8) / Δt[/tex]. If we use Δt = 0.1, then the instantaneous velocity is approximately s(8.1) - s(8) / 0.1. The approximate position of the particle after 10 seconds is then s(8) + (10-8) * (s(8.1) - s(8) / 0.1).
The instantaneous velocity of a particle is defined as the change in position over the change in time. This can be represented by the equation [tex]s(t+Δt) - s(t) / Δt[/tex]. Here, s(t) is the position of the particle at time t, and t is a small change in time. To approximate the instantaneous velocity at 8 seconds, we can use Δt = 0.1. This gives us an equation of s(8+0.1) - s(8) / 0.1. This equation gives us the velocity at 8 seconds. To approximate the position of the particle after 10 seconds, we can use the equation s(8) + (10-8) * (s(8.1) - s(8) / 0.1). This equation gives us an approximate position of the particle after 10 seconds, using the change in position over the change in time. This equation gives us a good approximation of the position of the particle after 10 seconds, given the information about the particle's position at 8 seconds.
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[tex]\sqrt{8} \sqrt{3}[/tex]
We can write the equivalent value of the root expression √8√3 as 2√6.
What is square root of a number?The square root of a number is given by -
y = √x
y² = x
More specifically, we can write -
y = ± √x
Given is the root expression as -
√8√3
We can solve the expression as by finding the square roots of the numbers as -
√8√3 = √8 x √3
√8√3 = √(2 x 2 x 2) x √3
√8√3 = 2√2 x √3
√8√3 = 2√6
So, we can write that -
√8√3 = 2√6
Therefore, we can write the equivalent value of the root expression √8√3 as 2√6.
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In Exercises 19 and 20, choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. Give separate answers for each part. 19. x1 +hx2 = 2 4x1 + 8x2 =k 20. X1 – 3x2 = 1 2x +hx2 = k
The equations must intersect at a single point then it have the unique solution and the value of h and k are h = -1 and k = 6
A system has no solution if the equations are inconsistent, meaning there is no way to satisfy both equations simultaneously. It has a unique solution if the equations intersect at a single point, meaning there is only one set of values that satisfies both equations.
Let's take a look at the first system of equations, 19.
Equation 1: x + hx = 2
Equation 2: 4x + 8x = k
For the system to have no solution, the equations must be inconsistent. This means they must be parallel and never intersect. To achieve this, we can set the slopes of the lines to be equal but the y-intercepts different. In other words, we need to choose h and k such that:
h = -2 and k = 5
Substituting these values into the equations, we get:
Equation 1: x - 2x = 2
Equation 2: 4x + 8x = 5
You can see that these two equations do not have a common solution. They are inconsistent, meaning there is no point that satisfies both equations.
For the system to have a unique solution, the equations must intersect at a single point. This means the slopes and y-intercepts must be different. To achieve this, we can choose h and k such that:
h = -1 and k = 6
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If interest is compounded once every 12 months, how often is it compounded?
A) Monthly
B) Annually
C) Semiannually
D) Quarterly
Answer:
B) Annually
Step-by-step explanation:
If interest is compounded once every 12 months, it is compounded annually.
Answer:
B) Annually
Step-by-step explanation:
What does compounded mean?Compounded means to calculate interest on the borrowed amount and on previous interest.
What does monthly mean?Monthly means to be done one every month.
What does annually mean?Annually means to be done yearly or every year.
What does semiannually mean?Let's break this down. Semi means half or a partial of something. Annually, as we already discussed, means yearly or every year. Now, when we put it together, it creates half a year. So, semiannually means half a year.
What does quarterly mean?We know a quarter, as in, the coin, is 25 cent. if we multiply 25 cents by four, we get a dollar. So a quarter coin is one fourth, or, a quarter of a dollar. Now, applying that to years, since a year is twelve months and a quarter is one fourth, we can divide twelve by four to get three. Three months is one quarter of a year.
With this in mind, twelve months is equal to a year. So, the interest is compounded every year.
A is incorrect because it says monthly. We have already figured out that the interest is compounded yearly, so it is incorrect.
B is correct because the definition of Annually is yearly or every twelve months.
C is incorrect because semiannually means half or part of a year, not a full year.
D is incorrect because quarterly means one fourth of a year, or, three months.
Please assist,
2. Determine the scale factor of a dilation that maps Circle A onto a circle congruent to Circle B.
3. Determine the scale factor of a dilation that maps Circle C onto a circle congruent to Circle A.
4. Explain the relationship between dilations and similar figures
2. Scale factor of a dilation that maps Circle A onto a circle congruent to Circle B is: 4/3 . 3. Scale factor of a dilation that maps Circle C onto a circle congruent to Circle A is 1/2.
What is transformation?By rotating, reflecting, or translating a shape on a coordinate plane, a transformation is made. Transformational geometry, a fresh viewpoint on geometry, was first forth by Felix Klein in the 19th century.
The majority of geometric proofs rely on how objects change. Using transformations, we can change any image in a coordinate plane. By using transformational logic, it is possible to comprehend video game graphics more fully.
From the given figure we see that:
Diameter of A = 8
Diameter of B = 6
Diameter of C= 4
2. Scale factor of a dilation that maps Circle A onto a circle congruent to Circle B is:
8/6 = 4/3
3. Scale factor of a dilation that maps Circle C onto a circle congruent to Circle A is:
4/8 = 1/2
4. When a figure is dilated the new figure is similar to the pre-image. The segments, sides, edges, of the new image is dilated by scale factor.
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C. What does this slope tell you about the relationship between lengths and width: of rectangles with perimeter 24?
Using linear function, the slope of -1 means that when one of the ratio of dimension is increased by 1, the other is decreased by 1.
What is a linear function?A linear function is modeled by:
y = mx + b
Here, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
Also shown as b is the y-intercept, which is the value of y when x = 0.
Given that the lengths and the widths are interchangeable, that is, either can be considered as the input or as the output.
The slope of -1 means that when the input in increased by 1, the output is decreased by -1, that is;
= length/width
This is increased by 1, and the other is decreased by 1.
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