Answer:
answer: 1.75 of a brownie
Step-by-step explanation:
you divided 7 by 4 to get 1.75
Answer:
\( \frac{7}{4} \: or \: 1 \: and \: \frac{3}{4} \: or \: 1.75 \)
Step-by-step explanation:
you are dividing 7 brownies on 4 children so it's 7 divided by 4...
A student's course grade is based on one midterm that counts as 10% of his final grade, one class project that counts as 5% of his final grade, a set of homework assignments that counts as 45% of his final grade, and a final exam that counts as 40% of his final grade. His midterm score is 60, his project score is 80, his homework score is 75, and his final exam score is 78. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.
Answer:
His overall final score is a 73, which means that that student recieved a letter grade of a C.
Step-by-step explanation:
First, we are finding the mean of the scores to average everything out.
So, start by adding up all the scores given: 60+80+75+78=293.
Then, divide that sum by the number of scores given: 293/5=73.25, or rounded to a whole number is a 73.
In most schools, a 73 is a C, so this students letter grade for this course is a C.
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
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Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
Find the perimeter of the figure
13.5 ft
9 ft
12.5 ft
Answer:
Add all the values up and then divide by 2
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
.......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
Suppose 4y – 1 = 15 and y = 5x – 3.
Which of the following equations is equivalent to 4y – 1 = 15, but written only in terms of x?
The equivalent equation of 4y – 1 = 15 is 20x - 13 = 15
How to determine the equivalent equation?The equations are given as:
4y – 1 = 15 and y = 5x – 3.
Substitute y = 5x – 3. in 4y – 1 = 15
4(5x – 3) – 1 = 15
Expand
20x- 12 - 1 = 15
Evaluate the like terms
20x - 13 = 15
Hence, the equivalent equation of 4y – 1 = 15 is 20x - 13 = 15
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Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.
The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.
Which statements are true about Initial Me and Monogram Mania?
Select each correct answer.
Based on the graph, it seems that choosing Company A may be the most popular option among residents.
What is a bar graph?
A bar graph, also called a bar chart, is a kind of data visualization that uses rectangular bars to represent data. Each bar's height or length corresponds to the value it stands for. Bar graphs are frequently used to compare and present various data sets or to demonstrate how data has changed over time.
The vertical axis (y-axis) in a conventional bar graph indicates the values or quantities being measured, while the horizontal axis (x-axis) represents the categories or variables being compared. Each bar in the graph represents a separate category or variable, and they are arranged along the x-axis. Each bar's height or length denotes the value or amount related to that category or variable.
Depending on the volume and complexity of the data being presented, bar graphs can be simple or complex. They can be applied to emphasize patterns or trends in the data, demonstrate changes over time, or compare data across several groups or categories. Among the many disciplines that employ bar graphs for data analysis are business, economics, social sciences, and natural sciences.
Based on the given graph, it appears that Patrick is responsible for choosing the company his local community will use for waste disposal. The graph shows the percentage of residents who prefer each of the four companies, labeled A, B, C, and D.
It seems that Company A is the most popular choice, with approximately 40% of residents preferring it. Company B is the second most popular choice, with approximately 30% of residents preferring it. Company C is the least popular choice, with only about 10% of residents preferring it. Company D falls in between Company B and Company C, with approximately 20% of residents preferring it.
Patrick's decision will ultimately depend on various factors, including the cost, reputation, and reliability of each company, as well as the specific needs and preferences of the community. However, based on the graph, it seems that choosing Company A may be the most popular option among residents.
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Prove that sinxtanx=1/cosx - cosx
\( \sin(x) \tan(x) = \frac{1}{ \cos(x) } - \cos(x) \)
Answer:
See below
Step-by-step explanation:
We want to prove that
\(\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}\)
Taking the RHS, note
\(\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}\)
Remember that
\(\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)\)
Therefore,
\(\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}\)
Once
\(\dfrac{\sin(x)}{\cos(x)} = \tan(x)\)
Then,
\(\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)\)
Hence, it is proved
Using the integers −9 to 9 at most one time each, place a digit in each box ( ___ , ____) and. ( ___ , ____) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3)
Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).
To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).
In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:
(x₁ + x₂)/2 = 1
(y₁ + y₂)/2 = 3
We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:
(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2
(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6
Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:
x₁ + (2-x₁) = 2 => x₁ = 1
y₁ + (6-y₁) = 6 => y₁ = 3
So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.
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How do you do this question?
Answer:
V = (About) 22.2, Graph = First graph/Graph in the attachment
Step-by-step explanation:
Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.
\(\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}\)
The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.
\(V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\\)
\(\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)\)
Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.
Multiply: 4(−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
Answer:
The amount that came is \(\frac{-68}{3}\)
Step-by-step explanation:
The computation is shown below:
According to the question, it is mentioned that
Multiply 4 by \(-5\frac{2}{3}\)
First open the equation in a fraction it would be \(\frac{-17}{3}\)
Now multiplied the above fraction by a 4
That gives the result of \(\frac{-68}{3}\)
Hence, the amount that came is \(\frac{-68}{3}\)
We simply multiply the 4 with the given fraction
Thus the above represents the simplest form of the fraction
If m∠J = 44°, what is m∠I?
Answer:
6666
Step-by-step explanation:
For a left-tailed test based on a sample of 18 observations with the test statistic t = 1.9, what is the associated p-value?
The associated p-value for this left-tailed t-test is 0.0359 or 3.59%.
Now, The p-value for a one-tailed t-test with a sample size of 18 and a test statistic of 1.9,
Hence, we need to look up the t-distribution table.
So, Using a one-tailed test with,
df = n - 1
= 18 - 1 = 17 degrees of freedom
We find that the area to the left of 1.9 under the curve is 0.0359.
This means that there is a 3.59% probability of observing a t-statistic less than or equal to 1.9 if the null hypothesis is true.
Therefore, the associated p-value for this left-tailed t-test is 0.0359 or 3.59%.
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Question 6 of 10
A line of best fit was drawn for 6 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 6
B. 3
O C. 4
OD. 5
SUBMIT
Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded.
Answer:
20 over 100 = 1 over 5
Step-by-step explanation:
50.25.2 rewritten correctly using the commutative property and then simplified correctly?
Answer:
2.25.50
Step-by-step explanation:
it is simplified since 25 is not divisible by 2
The formula for the surface area of a cylinder with radius r and height h is at times twice the product of the
radius and height plus twice the product of t and the square of the radius. Translate this verbal expression into
an algebraic expression.
Answer:
\(2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )\)
Step-by-step explanation:
The TSA of the cylinder
\(2\pi \: rh + 2\pi {r}^{2} \)
In Mathematics, 'is' is =
Twice means 2( )
Product means ×
So we have
\(2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )\)
as the answer.
A room that is 5 meters long has an area
of 5x + 10 square meters. What expression
represents the width of the room
Answer:
Breadth=x+2
Step-by-step explanation:
\(Solution,\\\\Length(l)=5m\\\\Area=5x+10m^{2} \\\\Breadth(b)=?\\\\As,\\\\Area=l*b\\\\5x+10=5*b\\\\b=\frac{5x+10}{5}\\\\b=\frac{5x}{5} +\frac{10}{5} \\\\b=x+2\)
What is the property of -2(4+9y)=-8-18y
Answer: Distributive Property
Step-by-step explanation:
Determine whether or not the digits below are divisible by: 2,3,4,5,6,8,9,or, 10 a. 897 b. 12,000 c. 8190 d. 327
You have the following numbrs:
897
12,000
8190
327
In order to determine if the previous numbers are divisibles for numbers between 2 and 10, you take into account the following points:
- If last two digits are divisible by a number, and the part of the number without the last units is divisible too, you can consider that the complete number is divisible too.
- If the last digit is 0, then the number is divisible by 2 and 5 and 10.
- If the number is even, it is dividible by 2.
- In case a number ends in varios zeros you can consider if the digits before the zeros are divisible by a specific number.
- 897 is divisible by 3, because 97 is divisible by 3 and 800 too.
- 12,000 is divisible by 2, 3, 4, 5, 6, 8 and 10, because it is an even number, ends in 0 and the first digits are divisible by 3, 4, 6.
- 8190 is divisible by 2, 3, 5, 6, and 10, becaues it is even, ends in 0 and the number of last two digits is divisible by 3 and 6 and 8100 too.
- 327 is divisible by 3, because number of last two digits is divisible by 3 and 300 too.
PLEASE HELP
I need this done is 13 minutes.
Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2) is dilated to create polygon ABCD with vertices at A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4). Determine the scale factor used to create the image
A. 3
B. 2
C. 1/2
D. 1/3
The correct answer is B. 2, as the scale factor used to create the dilated polygon is 2.
To determine the scale factor used to create the image, we can compare the corresponding side lengths of the original polygon ABCD and the dilated polygon A'B'C'D'.
Let's calculate the lengths of the corresponding sides:
Side AB: The length of side AB is 3 - 1 = 2 units in the original polygon. In the dilated polygon, the length of side A'B' is 6 - 2 = 4 units.
Side BC: The length of side BC is -2 - (-1) = -1 units in the original polygon. In the dilated polygon, the length of side B'C' is -4 - (-2) = -2 units.
Side CD: The length of side CD is 1 - 3 = -2 units in the original polygon. In the dilated polygon, the length of side C'D' is 2 - 6 = -4 units.
Side DA: The length of side DA is -1 - (-2) = 1 unit in the original polygon. In the dilated polygon, the length of side D'A' is -2 - (-4) = 2 units.
Now, let's compare the corresponding side lengths:
AB: A'B' = 4 units / 2 units = 2
BC: B'C' = -2 units / -1 units = 2
CD: C'D' = -4 units / -2 units = 2
DA: D'A' = 2 units / 1 unit = 2
The scale factor used to create the image is the ratio of the corresponding side lengths.
In this case, all the corresponding side lengths have a ratio of 2.
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PLZ HELL FAST WILL GIVE BRAINLIEST
Select all the correct equations.
Which equations have no real solution but have two complex solutions?
3x^2- 5x= -8
2x^2= 6x – 5
12x= 9x^2 + 4
-x^2– 10x = 34
\( {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0\)
This equation has the next form:
\( {ax}^{2} + bx + c = 0\)
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
\( {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0\)
Then, the first case has two complex solutions.
In the second case,
\( {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0\)
The discriminant in this case is:
\(( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0\)
Then, the second case has two complex solutions.
In the third case,
\(12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0\)
The discriminant in this case is:
\( {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0\)
Then, the third case has two real solutions.
In the fourth case,
\( { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0\)
The discriminant in this case is:
\(( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0\)
Then, the fourth case has two complex solutions.
For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
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Please Help Marked for all my points and will Brainliest
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.
The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
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A stamp collection contains a number of 13¢ stamps. There are 4 less than S times as many 20¢ stamps as 13° stamps. The face value of the stamps total $9.37. How many 20¢ stamps are there?
please answer
Answer:
468 20 cent stamps with the remainder of 5 cent
Step-by-step explanation:
Hope this helps!! Have a good day!!
What is the length of line segment AC?
Using geometry, we can find that the length of the line segment AC as per the distance between two points is= 18 ft.
What are line segments?
In geometry, a line segment's borders are determined by two distinct points on the line. Any portion of a line that connects two places is referred to as a line segment.
A segment has an endpoint, whereas a line doesn't.
What are some examples of line segments in the real world?
a scale, a ruler, a stick, and a boundary line.
Thus, the length of the line segment AC is = 18ft.
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a soccer ball is 15 feet from the goal. The angle of elevation from the soccer ball to the top of the goal crossbar is 34. How far will Megan have to kick the soccer to hit the crossbar?
Answer:
18.1 feet
Step by step explanation:
You want to know how far Megan will have to kick a soccer ball to hit the crossbar of the goal when she is 15 feet from the goal and the angle of elevation to the crossbar is 34°.
CosineTo answer this question, we need to use the trigonometric formula, cos(angle of elevation) = adjacent/hypotenuse. In this case, we can solve for the hypotenuse (distance to be kicked) since the angle of elevation is given as 34° and the adjacent side (distance from the soccer ball to the goal) is given as 15 feet.
cos(34°) = (15 feet)/(distance to be kicked)
(distance to be kicked) = (15 feet)/cos(34°) ≈ (15/0.829) feet ≈ 18.1 feet
This gives us a distance of approximately 18.1 feet that Megan will have to kick the soccer ball to hit the crossbar.
Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.
What is Trigοnοmetric ratiοs?The right-angled triangle's angle and the ratiο οf its twο side lengths are related by the trigοnοmetric functiοns, which are actual functiοns.
We can fοrm a right triangle with the sοccer ball, the tοp οf the gοal crοssbar, and a pοint directly belοw the tοp οf the gοal crοssbar (which we will call pοint A).
The angle οf elevatiοn frοm the sοccer ball tο the tοp οf the gοal crοssbar means that angle A is 34 degrees.
We alsο knοw that the distance between the sοccer ball and pοint A is 15 feet.
Using trigοnοmetry, we can find the length οf AB:
tan(A) = οppοsite/adjacent
tan(34) = AB/15
AB = 15 * tan(34)
AB ≈ 9.43 feet
Therefοre, Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.
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The midpoint of line segment RT is at (3.5, 2). If R is at (-3, 7), what are the coordinates of T?
Answer:
(10,-3)
Explanation :
We know ,
If R (x1,y1)=(-3,7)
If T (x2,y2) = ?
Midpoint of line RT = (-3+x2)/2 , (7+y2)/2
(3.5,2) = (-3+x2)/2 , (7+y2)/2
So,
3.5 = (-3 + x2)/2 --------------------|1|
2 = (7 + y2)/2 -----------------------|2|
Now , From eqn. |1|
3.5×2 = -3 + x2
7 + 3 = x2
10 = x2
From eqn. |2|
2×2 =7 + y2
4 - 7 = y2
-3 =y2
So,
T (x2,y2) = (10,-3)
At confidence, how large a sample should be taken to obtain a margin of error of for the estimation of a population proportion? assume that past data are not available for developing a planning value for. Round up to the next whole number.
At confidence, how large a sample should be taken to obtain a margin of error for the estimation of a population proportion? We now assume that past data are not available for developing a planning value for
Preliminary estimate for proportion (Not Known) is equal to 0.5
Margin of error = E = 0.03
Level of significance = 1-0.99 = 0.01
Z critical value is considered as (by using Z table) = 2.576
So, the sample size formula is taken as
n = [p(1 – p)]\(\left[Z/E]^{2}\)
=[0.5*(1-0.5)] [2.576/0.03]\(^{2}\)
=1,843.03
Hence, the sample size is approximately will be 1,844
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If X = -6 and Y = 10 then find |x|-|3y|/|xy|
Answer:
(2)
Step-by-step explanation:
Which of the expressions below are equal to x2+2x−15? Select all that apply. A) x2+x−8+x−7 B) (x−3)(x+5) C) x(x+2+15) D) x2+x+x2+x−15
Answer:
A and B
Step-by-step explanation:
x2 + 2x − 15
A) x2 + x − 8 + x − 7
B) (x − 3)(x + 5)