1.17 > 1.203 and 1.078 < 1.23 are the correct inequalitys to compare the volumes.
A scientist listed the volumes, in milliliters, of some liquids used in an experiment
We have to check the correct inequality
1.23 < 1.203 is false because 1.203 is greater than 1.23
1.078 > 1.17 is false because 1.17 is greater than 1.078
1.17 > 1.203 is true inequality
1.078 < 1.23 is true
Hence, 1.17 > 1.203 and 1.078 < 1.23 are the correct inequalitys to compare the volumes.
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Evaluate 12 : (6 – 2) + 12
Answer: 16
Step-by-step explanation:
6−2+12
=4+12
=16
Answer:
The anwser is 16
Step-by-step explanation:
1 Simplify 6−2 to 4.
4+12
2 Simplify.
16
16
AHH LAST TIME I ASK FOR HELP ISTG
Answer:
B.16
Step-by-step explanation:
Divide 60 by 3.75
4. what does he mean when elie's neighbor tells him, "i have more faith in hitler than in anyone else.
he alone has kept his promises to the jewish people. "
The statement made by Elie's neighbor suggests a profound sense of disillusionment and despair.
Why did we interpret the statement as such?In the context of the Holocaust, what your neighbor says may seem surprising or surprising, but it reflects the desperate situation and psychological trauma experienced by the people in the concentration camps.
Elie Wiesel, the author of the memoir "Night," lived through the atrocities against the Jewish people. His writings document the atrocities.
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You get a bagel for $1.95 and juice for $1.09. You pay with a 5-dollar bill. How much change will you get back?
Answer:
$1.96
Step-by-step explanation:
So first what you will do is add 1.09+1.95 then you get 3.04 after that you do 5-3.04 and you get 1.96. Hope I helped! Have a wonderful day!
Norachai and Rain each improved their yards by planting rose bushes and grass. They bought their supplies from the same store. Norachai spent $209 on 11 rose bushes and 11 bunches of grass. Rain spent $40 on 3 rose bushes and 2 bunches of grass. What is the cost of one rose bush and the cost of one bunch of grass?
The cost of one rose bush is $2 and the cost of one bunch of grass is $17.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, Norachai and Rain each improved their yards by planting rose bushes and grass.
Let the cost of rose bushes be x and the cost of bunches of grass be y.
Norachai spent $209 on 11 rose bushes and 11 bunches of grass.
Now, 11x+11y=209
x+y=19 --------(i)
Rain spent $40 on 3 rose bushes and 2 bunches of grass.
3x+2y=40 --------(ii)
Substitute x=19-y in equation (ii), we get
3(19-y)+2y=40
57-3y+2y=40
57-40=y
y=17
Substitute y=17 in equation (i), we get
x=2
Therefore, the cost of one rose bush is $2 and the cost of one bunch of grass is $17.
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The ratio of a model car to a regular car is 1:16. The model is 2:35 inches long. What is the length of the actual car in feet and inches?
Answer:
27.26
Step-by-step explanation:
Match the definition to the correct term.
the horizontal position of a point
y-coordinate
point of intersection of the two axes
x-coordinate
horizontal axis
X-axis
the vertical position of a point
y-axis
vertical axis
origin
Answer:
i think vertical axis is (y-axis)
and horizontal axis is (x-axis)
The correct match of the definition has been shown below,|
The horizontal position of a point is = x coordinate
Point of intersection of the two axes = origin
horizontal axis = x-axis
the vertical position of a point = y-axis
vertical axis = y-axis
The graph is a demonstration of curves that gives the relationship between the x and y-axis. Where the y-axis is represented by the vertical axis and the x-axis is represented by the horizontal axis, The point on the vertical axis is the y coordinate or ordinate while the point on the horizontal line is the x coordinate or abscissa and both the axis intersect at the point (0, 0) called origin
here,
A solution for the given question can be given from the above definition.
Thus, the required matches are,
The horizontal position of a point is = x coordinate
Point of intersection of the two axes = origin|
horizontal axis = x-axis
the vertical position of a point= y-axis
vertical axis = y-axis
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Scores on the Wechsler Intelligence Scale for Children (WISC) in neurotypical children have a population mean of 100 and a population standard deviation of 15. Assume the population standard deviation is the same in neurotypical and autistic children, but the population mean in autistic children is unknown.
a) Suppose we take a sample of 49 autistic children. What is the critical value (on the x^bar scale) for a one-sided Neyman-Pearson hypothesis test of H0 : μ = 100 vs. H 1 : μ = 95 using alpha = 0.05? Round your answer to 3 decimal places.
b)Using your critical value, what is the power of our test? Express your answer as a decimal rounded to the nearest thousandth (3 decimal places).
c)The probability of committing a Type II Error on this test is:
a. The critical value for this test is 103.525
b. The power of this test is 0.0001
c. The probability of committing a Type II Error on this test is 0.9999.
How to calculate the valuea) Using a standard normal distribution table or calculator, we can find the Zα value for α = 0.05. The Zα value for α = 0.05 is approximately 1.645.
Plugging in the values into the formula, we get:
Critical value = 100 + 1.645 * (15 / √49)
Critical value = 100 + 1.645 * (15 / 7)
Critical value ≈ 100 + 1.645 * 2.143
Critical value ≈ 100 + 3.525
Critical value ≈ 103.525
b) Using the Z-score formula:
Z = (x - μ) / (σ / √n)
Z = (103.525 - 95) / (15 / √49)
Z = 8.525 / (15 / 7)
Z ≈ 8.525 / 2.143
Z ≈ 3.969
Using a standard normal distribution table or calculator, we can find the probability to the right of Z = 3.969. The power is equal to that probability.
The power ≈ 1 - 0.9999
The power ≈ 0.0001
c) The probability of committing a Type II Error is equal to 1 - power. In this case, the probability of committing a Type II Error is approximately:
= 1 - 0.0001
= 0.9999.
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Mayan temples set atop steep pyramids with _______levels, which probably reflected the culture's concept of the underworld.
a. 3
b. 10
c. 9
d. 6
(c)
The answer in the space provided is nine
This is because Mayan temples usually has nine levels or nine steps in which there temples are being used for ceremonies, rituals and for the gods as a way of having it to be used for other important functions.
Culture is the holistic combination of learned and shared beliefs, values, and practices that create cohesion in a group and is the core concept within which anthropologists work. It is dynamic, evolving based on the needs of the people within it and as one culture comes into contact with another.
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Suppose the power series has radius of convergence R. What is the radius of n=0 convergence for the power series can ? Hint: Use the theorem on radius of 2n n=0 convergence, what does it mean to have radius of convergence R? Does it also tell us where it diverges?
Suppose a power series has a radius of convergence R. The radius of n=0 convergence for the power series can be determined by using the theorem on the radius of 2n n=0 convergence.
It means that for all values of x within an interval with a radius of R centered at a point c, the power series converges.
In other words, the radius of convergence of a power series represents the interval of x values for which the power series converges.
What does it mean to have a radius of convergence R?
The radius of convergence R is a value that describes the convergence properties of a power series.
It is defined as the distance from the center of the power series to the nearest point where the series diverges or converges.
Therefore, a power series with a radius of convergence R will converge for all values of x within the interval centered on c with a radius of R.
For all x values outside of this interval, the power series will diverge.
Does it also tell us where it diverges?
Yes, it also tells us where it diverges.
If a point lies beyond the interval of convergence with a radius of R, the power series will diverge at that point.
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If x and y are linearly​ independent, and if z is in Span {x, y}​, then {x, y, z} is linearly dependent.
a. true
b. false
The statement is true: If x and y are linearly independent, and if z is in Span {x, y}, then {x, y, z} is linearly dependent.
The statement is true.
Let's first understand the terms used:
Linearly independent:
A set of vectors is linearly independent if none of them can be expressed as a linear combination of the other vectors. In other words, no vector in the set can be written as a sum of scalar multiples of the other vectors.
Span:
The span of a set of vectors is the set of all linear combinations of those vectors.
In this case, Span\({x, y}\) is the set of all vectors that can be formed by adding scalar multiples of x and y.
Now, let's consider the given statement:
If x and y are linearly independent, it means that neither x nor y can be expressed as a linear combination of the other. However, it is given that z is in the Span\({x, y}.\)
This means that z can be expressed as a linear combination of x and y:
\(z = ax + by\), where a and b are scalar constants.
Let's analyze the set\({x, y, z}\). We know that z can be expressed as a linear combination of x and y, as shown above. This implies that the set \({x, y, z}\)is linearly dependent, because one vector (z) can be expressed as a linear combination of the others \((x and y)\).
Thus, the statement is true: If x and y are linearly independent, and if z is in Span\({x, y}\), then\({x, y, z}\) is linearly dependent.
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Large values of r2 imply that the observations are more closely grouped about the _____.a. average value of the independent variablesb. average value of the dependent variablesc. least squares lined. origine. None of the above
How do you solve each system of equations?
1. 4x - 4y + 4z = - 4
4x + y - 2z = 5
-3x - 3y - 4z = -16
Answer:
\(x=1,y=3,z=1\)
Step-by-step explanation:
\(4x-4y+4z=-4\)
\(4x=-4+4y-4z\)
\(x=-1+y-z\)
Substitute \(x=-1+y-z\) into second equation:
\(4\left(-1+y-z\right)+y-2z=5\)
\(-4+4y-4z+y-2z=5\)
\(5y-6z-4=5\)
\(y=\frac{6z+9}{5}\)
Substitute \(x=-1+y-z\) and \(y=\frac{6z+9}{5}\) into the third equation:
\(\frac{-41z-54}{5}+3=-16\)
\(-41z-54=-95\)
\(z=1\)
Substitute \(z=1\) into \(y=\frac{6z+9}{5}\):
\(y=3\)
Plug in y and z values into \(x=-1+y-z\):
\(x=1\)
Suppose that X is a negative binomial random variable with p=0.2 and r=4. Determine the following:
a.E(X)
b.P(X=20)
c.P(X=19)
d.P(X=21)
e.The most likely value forX
The estimated value of X is 16, the probability that X takes the esteem 20 is 0.0513, and the likelihood that X takes the esteem 19 is 0.0683
The likelihood that X takes the esteem 21 is 0.0408, and the foremost likely esteem for X is 9.
The probability mass function (PMF) for a negative binomial irregular variable X with parameters p and r is given by:
\(P(X=k) = (k+r-1) select (k) p^r (1-p)^k, for k=0,1,2,...\)
where "choose" speaks to the binomial coefficient, which can be calculated utilizing the equation:
(n select k) = n! / (k! (n-k)!), where n! indicates the factorial of n.
Substituting the given values, we have:
p = 0.2
r = 4
a. The mean of a negative binomial distribution with parameters p and r is given by:
E(X) = r(1-p) / p
Substituting the values, we get:
E(X) = 4(1-0.2) / 0.2 = 16
Subsequently, the expected value of X is 16.
b. To discover P(X=20), ready to utilize the PMF:
P(X=20) = (20+4-1) select (20) (0.2)^4 (0.8)^20
Employing a calculator, we get:
P(X=20) ≈ 0.0513
Hence, the likelihood that X takes the esteem 20 is around 0.0513.
c. To discover P(X=19), we will utilize the PMF:
P(X=19) = (19+4-1) select (19) (0.2)^4 (0.8)^19
Employing a calculator, we get:
P(X=19) ≈ 0.0683
Hence, the likelihood that X takes the value 19 is around 0.0683.
d. To discover P(X=21), we are able to utilize the PMF:
P(X=21) = (21+4-1) select (21) (0.2)^4 (0.8)^21
Using a calculator, we get:
P(X=21) ≈ 0.0408
Subsequently, the likelihood that X takes the esteem 21 is roughly 0.0408.
e. The mode (most likely esteem) for a negative binomial dissemination with parameters p and r is given by:
mode = floor((r-1)(1-p) / p)
Substituting the values, we get:
mode = floor((4-1)(1-0.2) / 0.2) = 9
Hence, the most likely value for X is 9.
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Which measure of center is the sum of a data set divided by the number of values it contains?
Select the correct response:
O sample mean
O standard mean
O mode
O median
The measure of center that is the sum of a data set divided by the number of values it contains is called sample mean.
Sample mean is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample. It is a measure of central tendency, which describes a typical value of the dataset. It is also known as the arithmetic mean or simply the mean.
The mean can be used to summarize data sets for comparison. It is useful in inferential statistics to estimate the population mean from the sample data. It is an important measure that is frequently used in many areas such as research, business, and finance.
In summary, the measure of center that is the sum of a data set divided by the number of values it contains is sample mean, and it is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample.
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The average amount of money spent for lunch per person in the college cafeteria is $5. 97 and the standard deviation is $2. 25. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X? X~ N(_______,_______)
What is the distribution of ¯x? ¯x~ N(______,_____)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6. 4225 and $6. 5884.
For the group of 46 patrons, find the probability that the average lunch cost is between $6. 4225 and $6. 5884
We determined that the probability of lunch cost is between the above-mentioned value is P (0.2011 < Z < 0.2748)
What is probability and statistics?
Probability is the possibility of happening an event. It is expressed as the ratio of the number of favorable outcomes to the total possible outcome.
We can find probability from a statistical data based on the mean value and standard deviation.
What is the probability of the given data?given, average cost for lunch per person = mean value = $5.97
standard deviation of cost = $2.25
number of samples = 46
assume distribution of money spent is normal.
the probability of a single lunch patron that has a cost between $6.4225 and $6.5884 can be calculated by the following way.
Z-score = (actual price - mean price) / standard deviation
Z-score when actual price is $6.4225.
Z = ($6.4225 - $5.97) / $2.25
Z = 0.2011
Now, Z-score when actual value is $ 6.5884.
Z = ($6.5884 - $5.97) / $2.25
Z = 0.2748
If actual value is denoted by X than the probability is shown as
P (6.4225< X< 6.5884) and P (0.2011< Z< 0.2748)
For the group of 46 patrons the above probability is also the same.
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6) Danielle got 55 out of 65 questions correct on her last test. What percent of the test did she get correct?
Find a point-slope form for the line that satisfies the stated conditions
Slope 4, passing through (- 2,1)
The equation of the line in point-slope form is ……
Answer:
y=4x+9
Step-by-step explanation:
y-Y1= m× x-X1
Y-1 = 4×X+2
y-1 = 4x+8
y=4x+9
Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.
Answer:
The customary method of finding the inverse is some variant of the method I'm going to use below. Whatever method you use, make sure you do the exact same steps in the exact same order every time, so you remember those steps when you get to the test.
Find the inverse of y = 3x – 2.
Here's how the process works:
Here's my original function:
y = 3x - 2
Now I'll try to solve for "x =":
y + 2 = 3x
(y + 2)/3 = x
Once I have " x =", I'll switch x and y; the "y =" is the inverse.
y = (x + 2)/3
Then the inverse is y = (x + 2) / 3
If you need to find the domain and range, look at the original function and its graph. The domain of the original function is the set of all allowable x-values; in this case, the function was a simple polynomial, so the domain was "all real numbers". The range of the original function is all the y-values you'll pass on the graph; in this case, the straight line goes on for ever in either direction, so the range is also "all real numbers". To find the domain and range of the inverse, just swap the domain and range from the original function.
Step-by-step explanation:
A ramp 16 ft long rises to a platform that is 12 ft off the ground. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP !!!!!!
Mariah drank 2/3 cup of orange juice. A serving size of is 5/6 cup. What part of a serving did she drink?
Answer:
80% of a serving
Step-by-step explanation:
First, convert 2/3 into 6ths
2/3 = 4/6
She drank 4 of 5 6ths
This is 80% of a serving
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
a lecture hall has 200 seats with folding arm tablets 30 of which are designed
There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.
1. First we need to identify the total number of seats in the lecture hall which is 200.
2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.
3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.
4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.
The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.
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Purple paint is made by mixing red paint and blue paint in the ratio 2 : 3. If 15 litres of blue paint is used, how much red paint will be needed?
Answer:
Because they are in the ratio 2:3 we'll call red and blue paint 2x and 3x respectively. We know that there are 15 liters of blue paint which means that 3x = 15. Solving for x we get x = 5. Since red paint is denoted by 2x it would be 2 * x = 2 * 5 = 10.
Answer:
10 liters
Step-by-step explanation:
Red : Blue
2 3
We want 15 blue liters
15/3 = 5
Multiply each term by 5
Red : Blue
2*5 3*5
10 : 15
In a rectangle KLMN, the diagonals KM and LN intersect at O.
(i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals.
(ii) If ∠NKM = 32°, find ∠KON and ∠KMN.
guys, pls answer. it's very urgent. I have to submit tomorrow. pls don't give wrong ans.
Answer:
8y°±94°⊂⊂100°
Step-by-step explanation:
Substitute 7 for x and evaluate the expression below. (x-3) - 2 O A. 12 OB. 2 O C. 6 D. 8
Answer: B
Step-by-step explanation:
First you have to do what’s in parentheses so you do 7-3, which is 4. Then you do 4 - 2 = 2. Hope this helped!
Anne buys her store's art supplies from a wholesaler. She purchases 8 canvases that are 16 by 20 inches for $7.16
each. How much profit does Anne make on the sale of these 8 canvases?
OA. $35.92
OB. $45.63
OC.
$57.28
OD. $86.04
Answer:
OC. $57.28
Step-by-step explanation:
It depends on how much she sells them for.
Let's say Anne sells them for $x.
Then her profit is:
8x-(8*7.16)
=8x-57.28
To make a minimum to at least make even is $57.28 and sell for $7.16 a piece.
Anne makes a profit of $57.28 on the sale of these 8 canvases. which is the correct answer would be option (C).
What is the profit?The profit is equal to the difference between the selling price and the original cost price.
Anne purchases art supplies for her business from a wholesaler. She spends $7.16 on eight 16 by 20-inch canvases.
To calculate the profit that Anne makes on the sale of these 8 canvases, you need to know the price at which she sells them and the cost of buying them from the wholesaler. If the cost of each canvas is $7.16 and she buys 8 of them, the total cost of the canvases is :
⇒ 8 × $7.16
Apply the multiplication operation and we get
⇒ $57.28.
Therefore, she makes a profit of $57.28 on the sale of these 8 canvases.
Hence, the correct answer would be an option (C).
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Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
How to depict the information?Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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Answer:
5p, 5p, 10p, 10p, 20p
Step-by-step explanation:
5p, 5p, 10p, 10p, 20p,
Which of the following are solutions to the equation below?
CHECK ALL THAT APPLY.
(image attched
The solution of x^2 + 10x+ 25 = 8 is x = ± 2√2 - 5.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
the given equation is,
x^2 + 10x+ 25 = 8
⇒ x^2+ 2.x.5 + 5^2 = 8
⇒ (x+5)^2 = 8 [ by taking square root both side]
⇒ x+5 =± 2√2
⇒ x = ± 2√2 - 5
Hence, The solution of x^2 + 10x+ 25 = 8 is x = ± 2√2 - 5.
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If p = 10 - 3y, work out p when =-10
Hello.
Plug in the value of p:
\(\mathrm{-10=10-3y}\)
Now, all we have to do is solve the equation for y.
First, let's add 10 to both sides:
\(\mathrm{-10+10=10+10-3y}\)
\(\mathrm{0=20-3y}\)
Now, add 3y to both sides:
\(\mathrm{3y=20}\)
Divide both sides by 3:
\(\Large\boxed{y=\frac{20}{3} }\)
I hope it helps.
Have a nice day.
\(\boxed{imperturbability}\)