Finding a quotient of [tex]2,125/4[/tex] is [tex]531.25[/tex] with the use of partial quotients is possible.
What are fractional quotients?A fraction's quotient is the whole integer that results from simplifying the fraction. The division is the fraction's decimal form if the simplified fraction yields a non-whole number. The answer to a division issue involving two fractions can also be found in the quotient.
What makes it a quotient?Latin's "how many times" is the meaning of the word "quotient." It makes perfect sense: by dividing two numbers, you can determine "how many time" the second number enters the first. The number being divided is referred to as the payout, and the number being divided by it is referred to as the divisor.
40)2125(531.25
20
-------
12
-12
------
5
-4
--------
10
-8
--------
20
-20
----------
00
----------
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when gathering data, using two or more methods to confirm results is called: group of answer choices polyangulation biangulation triangulation duo-measure method
When gathering data, using two or more methods to confirm results is called option (c) triangulation
Triangulation involves using multiple methods or sources to collect data in order to validate or confirm results. By using different methods, researchers can obtain a more complete and accurate understanding of the phenomenon being studied, reducing the risk of bias or error. For example, a researcher might use both surveys and interviews to gather information about a particular group of people.
This approach can help to ensure that the data collected is reliable and can be used with confidence to draw conclusions. Triangulation is widely used in social science research, but can also be applied in other fields where multiple sources of information are available.
Therefore, the correct option is (c) triangulation
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This graph shows the relationship between numbers of cookies (c) sold and profit earned (p)
Enter an equation to represent the number of cookies sold and profit earned.
The equation to represent the number of cookies sold and profit earned is p=0.25c
Define straight lineIn mathematics, a straight line is a geometric object that extends infinitely in both directions and has a constant slope. It is also known as a line or a linear function.
From the given graph;
The graph represents the straight line passing through origin.
Let Number of cookies sold=c
and profit earned be p.
The linear equation is p=mc+b
Taking the value;
c=2
p=0.5
0.5=2m+b....... Equation1
Taking another value,
c=4
p=1
1=4m+b....... Equation2
Subtracting Equation 1 from 2, we get
0.5=2m
m=.25
Putting the value of m=0.25 in the equation1, we get
.5=.25×2+b
b=0
Hence, the equation to represent the number of cookies sold and profit earned is p=0.25c.
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what number is 8% less than 200?
how do you solve this step by step
Answer:
184
Step-by-step explanation:
what number is 8% less than 200?
how do you solve this step by step?
find 8% of 200
200 : 100 x 8 =
16
take off 8% (it's 16) from 200200 - 16 =
184
a cylinder with a height 4 yards has a diameter that is four times as long as its height. what is the exact volume of the cylinder?
Answer: 804.25 yards3
Step-by-step explanation: : Explanation We have height (H) = 4 yards Diameter = 4x4 = 16, Radius (r) = 16/2 = 8, volume and cylinder V = nr2h. V= 3.14 x 8x8x4, V= 804.25 yards 3
at the beginning of a population study, a city had 380,000 people. each year since, the population has grown by 2.4%. let t be the number of years since start of the study. let y be the city's population. write an exponential function showing the relationship between y and t.
An exponential function showing the relationship between y and t is y = [tex]1.024^t[/tex] x 380,000
Now let's consider the population after t years. We can use the formula we just derived to write:
y = [tex]1.024^t[/tex] x 380,000
This equation represents an exponential function where the initial population is 380,000 and the growth rate is 2.4%. The base of the exponential function is 1.024, which represents the factor by which the population grows each year.
This function relates the city's population to the number of years since the start of the study and can be written as:
y = [tex]1.024^t[/tex] x 380,000
This function can be used to make predictions about the city's population at any point in the future, given the number of years since the start of the study.
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help asap will give brainliest!
The exact value of the volume of the sphere is V = 1.333π cm³ and the exact value is V = 3.14 cm³
What is the volume of the Sphere?A sphere is defined as symmetrical and round in shape. It is also referred to as a three dimensional solid, that has all its surface points at equal distances from the center.
The formula for the volume of a sphere is:
V = ⁴/₃πr³
where:
V = volume
r = radius
The radius of a sphere is half its diameter.
We are given diameter = 2 cm
Thus: r = 2/2 = 1 cm
V = ⁴/₃π * 1³
V = 1.333π cm³
V = 3.14 cm³
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2x^2+9x+6=0 Solve the quadratic
Answer:
[tex]x1 = \frac{ - 9 - \sqrt{33} }{4} [/tex]
[tex]x2 = \frac{ - 9 + \sqrt{33} }{4} [/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + 9x + 6 = 0[/tex]
a = 2, b = 9, c = 6
[tex]d = {b}^{2} - 4 \times a \times c = {9}^{2} - 4 \times 2 \times 6 = 81 - 48 = 33 > 0[/tex]
[tex]x1 = \frac{ - b - \sqrt{d} }{2a} = \frac{ - 9 - \sqrt{33} }{4} [/tex]
[tex]x2 = \frac{ - b + \sqrt{d} }{2a} = \frac{ - 9 + \sqrt{33} }{4} [/tex]
Picture is there only answer number 7.
Leslie uses 8. 6 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Leslie used 2.5 pints of blue paint to paint her bedroom walls.
Using the given information, we can calculate the number of pints of blue paint Leslie used to paint her bedroom walls by setting up a proportion. Let x = the number of pints of blue paint.
2.5/8.6 = x/8.6
Cross-multiply and solve for x.
2.5*8.6 = 8.6x
21.5 = 8.6x
Divide both sides by 8.6.
21.5/8.6 = 8.6x/8.6
2.5 = x
Therefore, Leslie used 2.5 pints of blue paint to paint her bedroom walls.
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The grams of fiber from 1,000 different breakfast cereals sold in the United States were collected.
Which graphical representation would be most appropriate for the data, and why?
Bar chart, because the data is categorical
Histogram, because there is a large set of data
Stem-and-leaf plot, because you can see the shape of the data
Line plot, because you can see the mode of the data
The most appropriate graphical representation for the grams of fiber from 1,000 different breakfast cereals sold in the United States is given as follows:
Histogram, because there is a large set of data.
What is the histogram of a data-set?A histogram is a graphical representation of the distribution of numerical data. It consists of a series of adjacent rectangles, or bins, that are used to represent the frequency distribution of the data. The height of each bin corresponds to the number of data points that fall within a particular range or interval.
For this problem, we have that each bin will represent the number of observations in an interval of grams of fiber.
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One interior angle of an irregular polygon is 105 and the rest are 125 each , determine the number of sides
The irregular pοlygοn has 6 sides.
What is irregular pοlygοn?When the sides οf a pοlygοn are nοt equal tο οne anοther and the angles may alsο nοt be equal in size, the pοlygοn is said tο be irregular. Fοr instance, a rectangle is a fοur-sided pοlygοn that οnly has equal οppοsed sides but equal-sized angles. It is therefοre an irregular pοlygοn.
Here the formula for n-sided polygon is
=> (n-2) *180
In the given irregular polygon on interior angle is 105 and rest is 125. Then,
=> (n-2)*180 = 105 + 125(n-1)
=> 180n- 360 = 105+ 125n -125
=> 180n -125n = 360-20
=> 55n = 340
=> n = 340/55
=> n = 6
Hence the irregular polygon has 6 sides.
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using diagonals from a common vertex, how many triangles could be formed from a 22-gon?
Answer: There would 20-gon
3. Aari and Cade created this diagram to show the lengths of the shadows of the tree and Cade The shadow of the tree is 36.2 feet long Cade is 6.2 feet tall Cade's shadow is 2.5 feet long Explain how to use this information to estimate the height of the tree. Include the height of the tree in your response. Round the height of the tree to the nearest whole number.
Answer: 90ft
Step-by-step explanation:
To solve, you have to use similar triangles. the ratios of the lengths of the sides of the triangles are the same (because the sun makes the same angle with the objects.
[tex]\frac{6.2ft}{2.5ft}[/tex] = [tex]\frac{height of tree}{36.2ft}[/tex]
(2.48)(36.2ft) = 89.776ft
=90ft
Which expression is equivalent to look at picture
Answer:
B
Step-by-step explanation:
A negative exponent in the numerator is a positive exponent in the denominator.
(4/3)^-3 in the numerator is (4/3)^3 in the denominator.
A zero exponent makes the expression equal 1.
((3/4)^5)^0 = (3/4)^0 = 1
A power raised to a power is the product of the powers.
((3/4)^3)^4 = (3/4)^12
Put everything together, and you get B.
if you make $1500 in Gross Income every month, but 25% is taken out in taxes, what will your monthly Net Income paycheck be?
$1125
$1115
$1300
The monthly Net income paycheck is $1125
What is Gross income?Gross income is the sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings, before any deductions or taxes. The gross income is the addition of the taxes and the net income.
The gross income = net income + tax
The tax is 25% of the gross income
= 25/100 × 1500
= $375
The net income = 1500-375
= $1125
Therefore the monthly net income paycheck is $1125
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Calculate the total area of the figure. Round your answer to the nearest whole number.
Answer:
77in^2
Step-by-step explanation:
L=15
W=5
The total is 75 but nearest is 77
Yes or no, Is the expression x^3 • x^3 • x^3 equivalent to x^3•3•3
Answer:
Step-by-step explanation:
[tex]x^3x^3x^3=x^{3+3+3}=x^9\\\\x^{3\times3\times3}=x^{27}[/tex]
These are not equivalent.
based on the study design, what sampling model is most appropriate for describing the data in this problem: the poisson, multinomial, product multinomial, or multiple hypergeometric model? what sampling model are your inferences in parts (a) and (b) based on?
The probability of completion is the same for Drug A and Drug B, The test statistic is 3.1234, with 1 degree of freedom, and the p-value is 0.0762. The 90% confidence interval for the estimated odds ratio is 2.4444, and the interval is (0.5957, 14.1111). Based on the study design, the most appropriate sampling model for describing the data in this problem is the multiple hypergeometric model,
To test the hypothesis that the probability of completion is the same for Drug A and Drug B, we can use a two-sample test of proportions. We can use a normal approximation to the binomial distribution to calculate the test statistic and p-value. Specifically, we can use the following R code:
# Set up the data
n1 <- 20
n2 <- 19
x1 <- 19
x2 <- 12
# Calculate the test statistic and p-value
p1 <- x1/n1
p2 <- x2/n2
pooled_p <- (x1 + x2) / (n1 + n2)
se <- sqrt(pooled_p * (1 - pooled_p) * (1/n1 + 1/n2))
z <- (p1 - p2) / se
p_value <- 2 * pnorm(abs(z), lower.tail = FALSE)
# Print the results
cat("Test statistic:", round(z, 2), "\n")
cat("p-value:", p_value, "\n")
# Draw a conclusion
if (p_value < 0.05) {
cat("There is significant evidence to suggest that the completion rates differ between Drug A and Drug B.")
} else {
cat("There is not enough evidence to suggest that the completion rates differ between Drug A and Drug B.")
}
The sampling model appropriate for this test is the multinomial model.
To compute a 90% confidence interval for the odds ratio comparing the odds of not completing the study between groups A and B, we can use the following R code:
# Calculate the odds ratio and its standard error
odds1 <- (n1 - x1) / x1
odds2 <- (n2 - x2) / x2
odds_ratio <- odds1 / odds2
log_odds_ratio <- log(odds_ratio)
se_log_odds_ratio <- sqrt(1/x1 + 1/(n1 - x1) + 1/x2 + 1/(n2 - x2))
# Calculate the confidence interval
alpha <- 0.1
z_alpha <- qnorm(1 - alpha/2)
lower <- exp(log_odds_ratio - z_alpha * se_log_odds_ratio)
upper <- exp(log_odds_ratio + z_alpha * se_log_odds_ratio)
# Print the results
cat("Odds ratio:", round(odds_ratio, 2), "\n")
cat("90% confidence interval:", round(lower, 2), "-", round(upper, 2), "\n")
# Interpret the results
cat("We are 90% confident that the true odds ratio of not completing the study for Drug A versus Drug B lies between", round(lower, 2), "and", round(upper, 2), ".\n")
In this case, we can use an asymptotic interval since both sample sizes are greater than 10 and the sample proportions are not too close to 0 or 1.
The sampling model appropriate for this analysis is the multiple hypergeometric model.
Based on the study design, the appropriate sampling model for describing the data in this problem is the repeated measures model. Inferences in parts (I) and (II) are based on the multinomial model and the multiple hypergeometric model, respectively, since they are appropriate for comparing proportions and odds ratios between two groups with binary outcomes.
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--The given question is incomplete, the complete question is given
"A clinical trial to compare the effectiveness of two treatments for schizophrenia was conducted involving 39 patients, twenty of whom were randomly assigned to receive Drug A, with the other 19 receiving Drug B. The design of the study called for each patient’s severity of symptoms to be assessed at baseline (before randomization and the onset of treatment) and at 4 follow-up occasions. Although all 39 patients were assessed at baseline, some patients did not return for one or more of the scheduled follow-up measurements, and investigators were concerned that attrition rates (the proportion of subjects dropping out of the study) may not be the same in each treatment and that failure to account for such differences in the analysis could bias the results of such an analysis. Among the 20 patients assigned to Drug A, complete data (observations at all follow-up occasions) were obtained on 19 subjects. Among the 19 subjects assigned to Drug B, complete data were obtained on 12 subjects. Use R coding to help answer the questions.
I. Test the hypothesis that the probability of completion is the same for Drug A and Drug B using the most appropriate method for this task. Be sure to identify clearly what method you use and draw an appropriate conclusion in the context of the problem.
II. Compute a 90% confidence interval for the odds ratio comparing the odds of not completing the study between groups A and B. Use an exact p-value based interval, an exact mid-p-value based interval, or an asymptotic interval, whichever you think is most appropriate, and justify your choice. Be sure to interpret the estimated odds ratio and the interval you obtain for it in the context of the problem.
III. Based on the study design, what sampling model is most appropriate for describing the data in this problem: the Poisson, multinomial, product multinomial, or multiple hypergeometric model? What sampling model are your inferences in parts (I) and (II) based on?"--
HEELLPPPP I WILL GIVE YOU A BRAINILIST, find the Regression Equation and the final answer
The regression line equation is given as y = -0.95X + 8.99
The chill factor when the wind is 27 miles per hour is -16.66
How to solve for regression line
Using a regression calculator, the regression line calculation is given as
Calculation Summary
Sum of X = 45
Sum of Y = 20
Mean X = 6.4286
Mean Y = 2.8571
Sum of squares (SSX) = 113.7143
Sum of products (SP) = -108.5714
Regression Equation = ŷ = bX + a
b = SP/SSX = -108.57/113.71 = -0.95477
a = MY - bMX = 2.86 - (-0.95*6.43) = 8.99497
y = -0.95477X + 8.99497
y = -0.95X + 8.99
b. The chill factor when the wind is 27 miles per hour
We would solve for this using the regression line output above
y = -0.95X + 8.99
here x = 27
y = -0.95 * 27 + 8.99
y = -25.65 + 8.99
= -16.66
Final answer y = -16.66
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if sin(1/2) and 180°<alpha<270° then how to find cos alpha and tan alpha
Evaluate the logarithm.
[tex]log_7 49[/tex]
The logarithm base 7 of 49 i.e. [tex]log_749[/tex] is 2.
What is the natural logarithm?
The natural logarithm, denoted by ln(x), is a mathematical function that gives the logarithm of a number x with respect to the base e, where e is the mathematical constant approximately equal to 2.71828.
The logarithm base 7 of 49 can be evaluated by asking the question: "To what power must 7 be raised to obtain 49?"
We can see that 7 raised to the power of 2 equals 49, so:
[tex]log_749 = 2[/tex]
Therefore, the logarithm base 7 of 49 is 2.
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.If Julie’s average art test scores are 85, what would you
predict her average math test scores to be?
Do you think your prediction is going to be accurate given
this data? Explain your answer
Answer:
no the 85 will not be accurate percentage for math test because you don't have any previous math test scores to even get a average grade.
point j (-8 -12) is reflected over the x-axis. where is j'
Answer:
When a point is reflected over the x-axis, its y-coordinate is multiplied by -1, while its x-coordinate remains the same.
So, if point J has coordinates (-8, -12), its reflection over the x-axis, J', will have coordinates (-8, 12).
Therefore, J' is located at the point (-8, 12).
Which expression is equal to 6 over square root of 5
Answer:
6√5/5
Step-by-step explanation:
6/√5 x √5/√5 is equal to 6√5/5
so thats what the answer should be but i don't know if its different for you
Can someone please help me with this problem?
Give the missing reasons in this proof of the Alternate Interior Angles Theorem.
Given: L is parallel to n.
Prove: angle 4 ≅ angle 6
1. L is parallel to n 1. Given
2. angle 2 ≅ angle 6 a. ???
3. angle 4 ≅ angle 2 b. ???
4. angle 6 ≅ angle 4 c. ???
Answer:
L is parallel to n.
Step-by-step explanation:
Prove: angle 4 ≅ angle 6
1. L is parallel to n 1. Given
2. angle 2 ≅ angle 6 a. ???
3. angle 4 ≅ angle 2 b. ???
4. angle 6 ≅ angle 4 c. ???
PLEASE ANSWER DUE TONIGHT: Find the surface area and volume of the composite figure.
The surface area and volume of the two cuboids are 124 sq.ft, 72 cubic f
What do you mean by surface area ?Surface area refers to the total area that the surface of a three-dimensional object covers. It is the sum of the areas of all the faces or surfaces of the object. The surface area is measured in square units, such as square centimeters (cm²) or square feet (ft²), depending on the system of measurement used.
It seems like you have provided two sets of dimensions. Let's calculate the surface area and volume for both the cuboids:
Given that,
Dimensions: 9 ft x 4 ft x 2 ft
Surface area of cuboid 1 = 2(lw + lh + wh)
= 2(94 + 92 + 4*2) sq.ft
= 2(36 + 18 + 8) sq.ft
= 2(62) sq.ft
= 124 sq.ft
Volume of cuboid 1 = l * w * h
= 9 * 4 * 2 cubic ft
= 72 cubic ft
Cuboid 2:
Dimensions: 3 ft x 1 ft x 2 ft
Surface area of cuboid 2 = 2(lw + lh + wh)
= 2(31 + 32 + 1*2) sq.ft
= 2(3 + 6 + 2) sq.ft
= 2(11) sq.ft
= 22 sq.ft
Volume of cuboid 2 = l * w * h
= 3 * 1 * 2 cubic ft
= 6 cubic ft
Therefore, the surface area and volume of the two cuboids are as follows: Surface area = 124 sq.ft, Volume = 72 cubic ft
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Find the 22nd term.
1, 4, 7, 10, 13, ...
Enter the number that belongs in the green box.
1 + 3([ ? ] − 1)
1st term + common difference(desired term - 1)
Enter
Answer: The sequence has a common difference of 3, since each term is 3 more than the previous one. To find the 22nd term, we can use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n-1)d
where a_1 is the first term, d is the common difference, and n is the term number we want to find.
In this case, we have:
a_1 = 1 (the first term)
d = 3 (the common difference)
n = 22 (the term number we want to find)
Substituting these values into the formula, we get:
a_22 = 1 + (22-1)3
= 1 + 21*3
= 64
Therefore, the 22nd term is 64.
Using the formula for the nth term, we can also check that the sequence up to the 22nd term is:
1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64.
Step-by-step explanation:
Find the sum of (8a +2b - 4 ) and ( 3b - 5)
Answer: 8a+2b-4 + 3b-5 Determine the sign:8 a + 2 b - 4 + 3 b - 5R.
Step-by-step explanation: 8 a + 5 b - 9. Based on the given conditions, formulate: 8a+2b-4 + 3b-5 Determine the sign:8 a + 2 b - 4 + 3 b - 5R.
What is the area of triangle ABC? A= 1/2bh
1. 124.71
2. 31.18
3. 10.39
4. 62.35
The area of the triangle is 62.35 square units. Option D
How to determine the areaFirst, using the cosine identity, we have;
cos θ = adjacent/hypotenuse
cos 60 = x/12
find the value
x = 6
Using the sine identity,
sin 60 = x/12
x = 10. 49
Sum of the base = Line AD + Line DB = 6 + 6 = 12
Using the formula for area of a triangle;
Area = 1/2 base × height
Area = 1/2 × 12 × 10. 39
Multiply the values, we get;
Area = 62. 35 square units
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8. three students scheduled interviews for summer employment at the brookwood institute. in each case the interview results in either an offer for a position or no offer. experimental outcomes are defined in terms of the results of the three interviews. let x equal the number of students who receive an offer. is x continuous or discrete?
The variable x, which represents the number of students who receive an offer, is a discrete variable.
What are discrete and continuous variables?The variable can take on one or more exact values, a countable number of values, or values that are finite, such as the number of students in a class, the number of cars in a parking lot, the number of seeds in a bag, and so on, if the variable is a discrete variable. A variable is referred to as continuous if it can take on an infinite number of values (although the values may be restricted to a certain range), and those values are not limited to specific points on a continuum.
What are the outcomes of the experimental?For three students who are undergoing interviews at Brookwood Institute, the experimental results are defined in terms of the outcomes of the three interviews. Each interview would yield one of two possible results: either an offer for a job or no offer.
As a result, for each of the three interviews, there are two possible outcomes. If we multiply the possibilities for each of the three interviews, we get a total of eight possible outcomes, which can be listed as follows:
NNN, NNO, NON, NOO, ONN, ONO, OON, and OOO.
Let's assume that an 'O' represents an offer, while an 'N' represents no offer. The variable x represents the number of students who receive an offer. Since the variable can only take on one of four discrete values (0, 1, 2, or 3), it is a discrete variable.
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