Answer:
I think the answer is
Statement A
Step-by-step explanation:
would the following method produce a random sample of a school population of 1000 students? answer yes or no. all students with last names beginning with the letter m.
Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.
A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.
By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.
To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.
This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.
Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.
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A bookcase is to have 4 shelves including the top as pictured below.
The width is to be 10 feet less than 3 times the height. Find the width and the
height if the carpenter expects to use 30 feet of lumber to make it.
How many arrangements can be formed using the letters EPIPHANY?
From the word EPIPHANY, we can see that:
E,I,H,A,N,Y are unique and P repeats twice. Then we would have a permutation with repetition. Let's state some data to solve this problem:
n=8 (number of letters)
Repetitions of the letter E: 2
Then:
\(\begin{gathered} P_{}(n;a,b,c\ldots)=\frac{n!}{a!b!c!\ldots}^{_{}}_{} \\ \Rightarrow P(8,2)=\frac{8!}{2!}=\frac{8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{2\cdot1}=\frac{40320}{2}=20160 \\ \\ \end{gathered}\)Therefore, we can make 20160 arrangements using the letters EPIPHANY
A cross section is defined as where a —————
intersects a 3-D shape.
Answer:
plane intersects a 3D shape
There are 120 calories in a 3/4 cup serving of cereal. Use a proportion to find the number of calories in 6 cups of cereal.
As opposed to 120 calories in a 3/4 cup serving, 960 calories are present in a serving of six cups of cereal.
what is equation ?The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 has the two expressions 3x + 5 and 14 that are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
calculation
Assume that x represents the number of calories.
The equation to answer the question will be based on the data provided in the question, and it will be as follows:
0.75/6 = 120/x
Cross multiply
(0.75 × x) = (120 × 6)
0.75x = 720
Count 0.75 on each side.
0.75x/0.75 = 720/0.75
x = 960
This means that 6 cups of cereal will contain 960 calories.
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Select the correct answer. a number is selected at random from the set {2, 3, 4, ... 10}. which event, by definition, covers the entire sample space of this experiment? a. the number is even or less than 12. b. the number is neither prime nor composite. c. the number is greater than 2. d. the number is not divisible by 5.
Answer:
a. the number is even or less than 12
Step-by-step explanation:
why ?
let's look at the logic of the statements :
a.
the number is even
true for 2, 4, 6, 8, 10
false for 3, 5, 7, 9
so, false in general.
but there is an "or" condition, which makes the true/false status of the first condition irrelevant, as false or true is always true, and false or false is always false.
and this "or" condition says "less than 12". that is true for all given numbers.
so, false or true = true is or result here.
b.
"neither prime nor composite" means "not prime and not composite". what else would there be ? this could only be true for an empty set of numbers. so, it is false here.
c.
"the number is greater than 2" is false for 2 and therefore false for the entire sample space (even though it is true for most of the numbers. but it is not true for all).
d.
"the number is not divisible by 5" is false for 5 and 10.
so, the same principles of c. apply.
Answer: answer above me is correct
Need help i will give anybody brainest!!!!!! due in 30 minutes
Answer:
2/3
Step-by-step explanation:
hope you help make me brainist
Hey there, Please help me. Thank you
Answer:
(-5,-15)
Step-by-step explanation:
Answer:
(-5,-15)
Step-by-step explanation:
3x=2x-5
-2x -2x
x=-5
y=3(-5)
y=-15
Find the unknown angle measure by solving for the given variable.
The measure of angle YZV is 120° and the measure of angle VZW is 60°.
From the given figure, ∠YZV=24a, ∠VZW=12a.
Here, ∠YZV+∠VZW=180°
24a+12a=180°
36a=180
a=180/36
a=5
Here, m∠YZV=24×5=120°
m∠VZW=12×5=60°
m∠XZW=m∠YZV=120° (Vertically opposite angles are equal)
m∠XZY=m∠VZW=60° (Vertically opposite angles are equal)
Therefore, the measure of angle YZV is 120° and the measure of angle VZW is 60°.
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Find the area of the region that lies inside the curve r = 11 cos θ and outside the curve r = 5 cos θ.
The area of the region that lies inside the curve r = 11 cos θ and outside the curve r = 5 cos θ is \(48\int_{a}^{b}cos^2\theta d\theta\).
In the question, we are asked to find the area of the region that lies inside the curve, r = 11 cos θ and outside the curve, r = 5 cos θ.
The function r = n + a cos θ is a polar function, whose area under the curve can be calculated using integration with respect to dθ, with the formula, \(\int_{a}^{b}\frac{1}{2} r^2d \theta\), over the interval [a, b].
Thus, the area under the curve, r = 11 cos θ, using the stated formula, can be shown as:
\(\int_{a}^{b}\frac{1}{2} r^2d \theta\\=\int_{a}^{b}\frac{1}{2} (11 cos \theta)^2d \theta\\=\int_{a}^{b}\frac{121cos^2\theta}{2} r^2d \theta\)
The area under the curve, r = 5 cos θ, using the stated formula, can be shown as:
\(\int_{a}^{b}\frac{1}{2} r^2d \theta\\=\int_{a}^{b}\frac{1}{2} (5 cos \theta)^2d \theta\\=\int_{a}^{b}\frac{25cos^2\theta}{2} r^2d \theta\)
The area of the region that lies inside the curve, r = 11 cos θ, and outside the curve, r = 5 cos θ, can be shown as follows:
\(\int_{a}^{b}\frac{121cos^2\theta}{2} r^2d \theta - \int_{a}^{b}\frac{25cos^2\theta}{2} r^2d \theta\\=48\int_{a}^{b}cos^2\theta d\theta\)
Thus, the area of the region that lies inside the curve r = 11 cos θ and outside the curve r = 5 cos θ is \(48\int_{a}^{b}cos^2\theta d\theta\).
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what is the electron domain charge cloud geometry of brf5
The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).
\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.
In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.
Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
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(a) The curve y = 1/(1 + x2) is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point (-1,1/2)y=
Thus, the equation of tangent line to the curve y = 1/(1 + x^2) at the point (-1, 1/2) is y = (1/2)x + 1/2.
To find the equation of the tangent line to the curve y = 1/(1 + x^2) at the point (-1, 1/2).
First, we need to find the derivative of the given curve with respect to x. This will give us the slope of the tangent line at any point on the curve. The derivative of y = 1/(1 + x^2) with respect to x can be calculated using the chain rule:
y'(x) = -2x / (1 + x^2)^2
Now, we need to find the slope of the tangent line at the point (-1, 1/2).
To do this, we can plug x = -1 into the derivative:
y'(-1) = -2(-1) / (1 + (-1)^2)^2 = 2 / (1 + 1)^2 = 2 / 4 = 1/2
So, the slope of the tangent line at the point (-1, 1/2) is 1/2.
Now that we have the slope, we can use the point-slope form of a line to find the equation of the tangent line:
y - y1 = m(x - x1)
Here, m is the slope, and (x1, y1) is the point (-1, 1/2). Plugging in the values, we get:
y - (1/2) = (1/2)(x - (-1))
Simplifying the equation, we get:
y = (1/2)x + 1/2
So, the equation of the tangent line to the curve y = 1/(1 + x^2) at the point (-1, 1/2) is y = (1/2)x + 1/2.
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It's about rate the question say Norah ia paid R175 per day for working from 09:00 to 16:00 how much is she paid for hour
The amount paid per hour is R25
How to determine the amount paid per hourFrom the question, we have the following parameters that can be used in our computation:
Total = R175
TIme = 09:00 to 16:00
Using the above as a guide, we have the following:
Total = R175
TIme = 7 hours
So, we have
Rate = 175/7
Evaluate
Rate = 25
Hence, the rate is R25 per hour
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It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
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What is the value of x?
Answer:
x = 55 degrees
Step-by-step explanation:
Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.
=> x = 180-75-50
=> x = 55 degrees
Answer:
55
Step-by-step explanation:
The sum of angles triangles will always be 180
75 + 50 is 135
180-35 = 55
simplify the expression:
3 (-2k+ 1) =
Answer:
-6k+3
Step-by-step explanation:
3(-2k+1)=?
3(-2k)= -6k
3(1)= 3
3(-2k+1)= -6k+3
The line representing the equation part of the constraint 7x1 + 4x2 s 28 goes through the following two points a. (4,0) and (7,0) b. (0, 4) and (7,0) c. (4,0) and (0,7) d. (0, 4) and (0,7) e. none of the above
Point (4,0) and (0,7) (C) were passed through by the line equation of 7x1 + 4x2 = 28.
From the case, we know that:
Line equation: 7x1 + 4x2 = 28
Passed through points?
To answer this question, we can try to find some conditions:
x1 = 0; x2 =?x2 = 0; x1 =?First, we will try to find the valuf f x2 if x1 = 0:
(x1 = 0)
7(0) + 4.x2 = 28
0 + 4.x2 = 28
4.x2 = 28
x2 = 7 --> (0,7)
Next, we try if x2=0, then x1 = ...
(x2 = 0)
7x1 + 4(0) = 28
7x1 = 28
x1 = 4 --> (4,0)
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The sum of three numbers is 100. The first number is 5 more than the second. The third number is 3 times the second. What are the numbers?
Answer: first number = 24
second number = 19
third number = 57
Explanation:
Let the second number be x. From the information given,
the first number is 5 more than the second. This means that
the first number is x + 5
The third number is 3 times the second. This means that
the second number is 3x
If the sum of the three numbers is 100, it means that
x + 5 + x + 3x = 100
5x + 5 = 100
5x = 100 - 5 = 95
x = 95/5
x = 19
The first number = 19 + 5 = 24
The second number = 19
the third number = 3 * 19 = 57
The table shows the proportional relationship between the number of tickets required per game at a carnival.
Games 4 10 16
Tickets 16 40 64
Determine the constant of proportionality.
4
6
12
24
Answer:
6
Step-by-step explanation:
all are divisible by 6 or can be added by six to get the next number
The required value of the contant of proportionality is given as 1/4.
What is proportionality?Proportionality is described as the relationship between two or more sets of values, and whether these values are directly proportional or inversely proportionate to one other.
Here,
Let G be the number of games and T be the number of tickets,
G ∝ T
So,
G = kT
From the table,
4 = 16k
k = 4/16
k = 1/4
Thus, the required value of the contant of proportionality is given as 1/4.
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What is the image of (-4, 7) after a dilation by a scale factor of 3
centered at the origin?
Answer:
(-12, 21)
Step-by-step explanation:
You would multiply the coordinates by 3
Hailey ran a few laps. D(n)D(n)D, (, n, )models the duration (in seconds) of the time it took for Hailey to run her n^{th}n th n, start superscript, t, h, end superscript lap. nnn 333 777 999 D(n)D(n)D, (, n, )858585 999999 110110110 When did the lap duration increase faster
Question:
Hailey ran a few laps. D(n), models the duration (in seconds) of the time it took for Hailey to run her nth lap. When did the lap duration increase faster?
A. Between the 3rd and 7th lap
B. Between the 7th and 9th lap
C. The lap duration increased at the same rate over both intervals
Answer:
B. Between the 7th and 9th lap
Step-by-step explanation:
Given
See attachment for table
Required
Determine when the lap increases faster
To do this, we simply calculate the rate of change between each lap.
From the attachment, we have:
\(D(3) = 85\)
\(D(7) = 99\)
\(D(9) = 110\)
Rate of change is calculated using:
\(Rate = \frac{D(b) - D(a)}{b - a}\)
For D(3) to D(7), the rate is:
\(Rate = \frac{D(7) - D(3)}{7 - 3}\)
\(Rate = \frac{99 - 85}{7 - 3}\)
\(Rate = \frac{14}{4}\)
\(Rate = 3.5\)
For D(7) to D(9), the rate is:
\(Rate = \frac{D(9) - D(7)}{9 - 7}\)
\(Rate = \frac{110 - 99}{9 - 7}\)
\(Rate = \frac{11}{2}\)
\(Rate = 5.5\)
The rate of change between the 7th and 9th lap is greater than the rate of change between then 3rd and 7th lap .
Hence, (b) is correct
Answer:
B) Between the 7th lap and the 9th lap
Step-by-step explanation:
The length of ribbons found at a seamstress are listed.
5, 8, 10, 12, 12, 19
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability and equals 14.
The IQR is the best measure of variability and equals 4.
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.
The most appropriate measure of variability which can be used for the data given is IQR and the measure is 4.
Given data set is,
5, 8, 10, 12, 12, 19
Mean and median are the measures of central tendency and not variability.
So they are not appropriate.
Remaining options are Range and IQR.
Range is the difference of the maximum value and the minimum value.
Here, range = 19 - 5 = 14
But range will be affected by the outliers and is not an appropriate measure of variability.
Remaining is IQR, which is the measure of the spread of middle 50% of the data.
IQR = Third quartile - First quartile.
Third quartile = 12 and the first quartile = 8
IQR = 12 - 8 = 4
Hence the appropriate measure is IQR.
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Can someone help (image below)
Answer: -2x^2+16x-30
Step--by-step explanation:
The store is 15 min. away from my house, it takes 30 min. to get to and from the store. How come my dad isn't back with milk yet?
Answer:
What dad?
Step-by-step explanation:
he ran away. or hes with somebody
Answer:
Traffic
Step-by-step explanation:
Your Point
Here is your ordered pair plotted as a point, together
with the linear equation 2
(If you can't see your point, maybe you didn't type it
correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Yes
NO
a Explain your thinking
Submit
Answer:
I know my ordered pair is correct because it's on the line.
Yes, the ordered pairs are accurate as estimated by our theoretical calculations.
What is the graph?A graph, which is a mathematical representation of a network, describes the relationship between lines and points. A graph is made up of a few points and the arcs that connect them. Neither the location of the points nor the length of the lines matters.
Given that, the equation of a line is y=x+2.
Substitute x=0, 1, 2, 3, 4, 5 and 6 in the equation y=x+2, we get
y = 2, 3, 4, 5, 6, and so on.
So, the coordinate points are (0, 2), (1, 3), (2, 4), (3, 5) and (4, 6).
In the obtained graph, we got the points (0, 2), (1, 3) and (2, 4), they are accurate as we calculated.
Yes, the ordered pairs are accurate as estimated by our theoretical calculations.
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"Your question is incomplete, probably the complete question/missing part is:"
Here is your ordered pair plotted as a point, together with the linear equation y=x+2
(If you can't see your point, maybe you didn't type it
correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Hi guys it's nothing much but please help me out for braniest and 50 points NO LINK'S thank you
Answer:
Step-by-step explanation:
1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.
2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.
5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.
Answer:
4.ADE /// ABC (same <s)
<D = <B (corresponding <s)
<E = <C (corresponding <s)
ADE and ABC share A as the same < so all <s are = (AAA )
a report on high school graduation stated that 85 percent of high school students graduate. suppose 3 high school students are randomly selected from different schools. what is the probability that none will graduate?
The probability that exactly none will graduate is \(0.003375\).
What is probability?
Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes.
Step-by-step explanation:
Let \(X\) be the random variable for the number of students who graduate.
Binomial distribution theorem tells that, \(P(X=x)=C(n , x)p^xq^{n-x}\).
Here \(p=\)probability of success on a single trial, \(q=\)probability of failure on a single trial, \(n=\) number of trials.
Given that \(p=0.85, q=1-p=1-0.85=0.15\) and \(n=3.\)
\(P(X=x)=C(3 , x)0.85^x0.15^{3-x}\)
When \(3\) students are randomly selected the probability that exactly none will graduate is given by,
\(P(X=0)=C(3 , 0)0.85^00.15^{3-0}\)
\(P(X=0)=\frac{3!}{0!(3-0)!} 0.15^{3}\)
\(P(X=0)=0.15^{3}\)
\(P(X=0)=0.003375\)
Hence the probability that exactly none will graduate is \(0.003375\).
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The students in Mr. Miller's class are trying to decide where to go on their field trip. The ratio of the students who voted for the town
aquarium to the students who voted for the science center is 2 to 3. If 12 students voted for the science center, how many students
voted for the town aquarium?
Answer:
Step-by-step explanation:
2:3
?:12
2/3=x/12
2/3*12=x
24/3=x
x=8 students
(It would be great if there were an explanation, I'm struggling to understand how this works.) Triangle FGH has vertices F(−4, 0), G(0, 4), and H(4, 0). A dilation, centered at the origin, is applied to this triangle. The image has vertices F′(−12, 0), G′(0, 12), and H′(12, 0).
What is the scale factor of this dilation?
Enter your answer in the box.
Nevermind, solved. The answer is 3 because if you multiply each of the original points by 3 you get the new points. Since I already put this question up, you can answer just for points.
A scale factor is defined as the ratio between the scale of a given original object and a new object.
The scale factor of this dilation is 3.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
We have,
Triangle FGH has vertices:
F = (−4, 0)
G = (0, 4)
H = (4, 0).
The image of the triangle has vertices:
F′ = (−12, 0)
G′ = (0, 12)
H′ = (12, 0)
We see that,
Multiplying 3 on all the vertices of
F = (−4, 0)
G = (0, 4)
H = (4, 0)
we get,
F′ = (−12, 0)
G′ = (0, 12)
H′ = (12, 0)
This means,
A dilation with a scale factor of 3 is applied to the triangle.
Thus,
The scale factor of this dilation is 3.
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Owen bought 9 chicken wings for $15.30. What was the cost of the wings, in dollars per wing?
Answer:
1.70
Step-by-step explanation:
15.30 ÷ 9 = 1.70
1.70 dollars per chicken wing
I hope this helps