we have y = -4/5x-2
this is the equation of the line in slope intercept form
y=mx+b
where
m=-4/5
b=-2
therefore
slope is -4/5
y-intercept i -2
outline the design of the experiment. use your judgment in choosing the group sizes. (select all that apply.) observe eating habits. observe the occurrence of colon cancer. randomly assign 2 treatments to 4 groups. randomly assign subjects to 2 treatments. randomly assign subjects to 4 treatments.
Eating habits of the subjects will be observed to determine the occurrence of colon cancer.
In designing the experiment, randomly assigning subjects to 2 treatments would be appropriate. In addition, randomly assigning 2 treatments to 4 groups would also be relevant.
Furthermore, the group sizes should be chosen using the appropriate judgment.The
experiment will involve the testing of two treatments on the occurrence of colon cancer. The two treatments will be randomly assigned to four groups. Random assignment of subjects will be carried out to two treatments. Group sizes will be chosen based on appropriate judgment.The experiment will observe the occurrence of colon cancer based on eating habits. The occurrence of colon cancer will be recorded after the observation period. Therefore, observing the eating habits of the subjects will be important.In conclusion, to outline the design of the experiment: Two treatments will be randomly assigned to four groups. Subjects will be randomly assigned to two treatments. The group sizes will be chosen based on the apropriate judgment
. Eating habits of the subjects will be observed to determine the occurrence of colon cancer.
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1. Determine group sizes based on design considerations and treatment allocations.
2. Collect data on eating habits through self-reporting, dietary records, or surveys.
3. Follow participants over a specific period to track the occurrence of colon cancer.
4. Randomly assign treatments to groups to reduce bias and ensure equal chances of receiving each treatment.
To design the experiment, we need to consider the objectives and variables involved. In this case, the goal is to investigate the relationship between eating habits and the occurrence of colon cancer. Here's a step-by-step outline of the experiment design:
1. Determine the group sizes: It would be appropriate to have different group sizes depending on the specific design chosen. For example, if we randomly assign subjects to 2 treatments, we may have equal-sized groups for each treatment. On the other hand, if we randomly assign subjects to 4 treatments, we might divide them into smaller groups to allow for more treatment combinations.
2. Observe eating habits: Collect data on the eating habits of the participants, such as their dietary intake, meal frequency, or specific food choices. This information can be obtained through self-reporting, dietary records, or surveys.
3. Observe the occurrence of colon cancer: Follow the participants over a specific period to track the occurrence of colon cancer. This can be done by reviewing medical records, conducting regular screenings, or through self-reporting.
4. Randomly assign treatments to groups: If we choose to have 2 treatments, we would randomly assign these treatments to the 4 groups. Random assignment ensures that each group has an equal chance of receiving either treatment, reducing bias.
It's important to note that the specific design and group sizes may vary depending on the research objectives, available resources, and ethical considerations. This outline provides a general framework for designing an experiment to investigate the relationship between eating habits and colon cancer occurrence.
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The diameter of a hat is 6.8 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
2.17 inches
10.68 inches
21.35 inches
36.29 inches
Answer:
Step-by-step explanation:
c is the correct answer
Answer: c
Step-by-step explanation:
James made 130 water
balloons for a party. He
has invited 15 friends. If
all 15 friends come, how
many balloons would
each guest receive?
Answer:
8
Step-by-step explanation:
130/15=8 and remainder 10
In January Todd was able to lift 127 1/2 lb. In February he could lift 135 lb, and in March he could lift 142 1/2 lb. If he continues at this rate what will Todd be able to lift in July?
Answer:
172 1/2 lb
Step-by-step explanation:
Determine the rate of change per month = lifts lifted in march - lift lifted in February
142 1/2 - 135 = 7 1/2
Determine the number of months from march to July = 4
increase in weight he would be able to carry in 4 months = 7.5 x 4 = 30 lb
weight he would be able to carry in april = 30 + 142 1/2 = 172 1/2
What information do you need to complete a translation?
Answer:
1. The coordinates of the image you want to transform
2. The change in y
3. The change in x
Step-by-step explanation:
If we transform an image, we are moving it around the coordinate plane.
In order to transform, we need the original coordinates of the image so that we know where to start.
We also need to know the change in y because when we transform a shape it can go up and down.
We also need to know the change in x because when we transform a shape it can go left and right.
Hope this helped!
i´m in class struggling
Answer:
$15.00
Step-by-step explanation:
2 hours is $30
divide by 2
1hr is $15
An ice climber stands at the edge of a crevasse that is 115 Ft wide. The angle of the depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot.
depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot
Which is the probability that a person goes to the movie theater _At Most_ 4 times a month?
A. 0.655
B. 0.345
Answer:
b
Step-by-step explanation:
what is 48 - 36 and then divided by 36
Answer
The result of 48 - 36 is 12. Then, if you divide 12 by 36, the result is 0.3333 or 1/3.
Step-by-step explanation:
please help this is confusing
Answer:
x = 16
Step-by-step explanation:
Creating an equation
Angles in a triangle add up to 180 degrees
This means that x + 19 + 2x + 98 + 3x - 33 = 180
Solving for x
x + 19 + 2x + 98 + 3x - 33 = 180
==> combine like terms
6x + 84 = 180
==> subtract 84 from both sides
6x = 96
==> divide both sides by 6
x = 16
Let's Begin -:
\( \displaystyle{ \large{ \bf{ \: by \: using \: angle \: sum \: property \: of \triangle}}}\)
\( \displaystyle{ \large{ \sf{2x + 98 + x + 19 + 3x - 33 = 180 \degree}}}\)
Now adding and subtracting like term ,
\( \displaystyle{ \large{ \sf{6x + 84 = 180 \degree}}}\)
Now transposing 84 to right hand side ,,,
\( \displaystyle{ \large{ \sf{6x = 180 \degree \: - 84}}}\)
84 are positive in LHS so when we transpose in RHS 84 became -8
\( \displaystyle{ \large{ \sf{6x = 96}}}\)
now transposing 6 to RHS,
\( \displaystyle{ \large{ \sf{x = \frac{96}{6} }}}\)
\( \displaystyle{ \large{ \sf{x = 16}}}\)
value of x is 16.
I need some help with this
Answer:
31 sq ft
Step-by-step explanation:
add all sides together to get the answer
If f(x)=x 2
and g(x)=2 x
, find solution set of fog(x)= gof(x).
The only value of x that makes the compositions of f and g equal, fog(x) = gof(x), is x = 0.
To find the solution set of fog(x) = gof(x), we need to determine the values of x for which the compositions of the functions f and g are equal.
Given:
f(x) = x^2
g(x) = 2x
To find fog(x), we substitute g(x) into f(x):
fog(x) = f(g(x)) = f(2x) = (2x)^2 = 4x^2
Similarly, to find gof(x), we substitute f(x) into g(x):
gof(x) = g(f(x)) = g(x^2) = 2(x^2) = 2x^2
Now we can set the compositions equal to each other and solve for x:
4x^2 = 2x^2
Subtracting 2x^2 from both sides: 2x^2 = 0
Dividing by 2x^2: x^2 = 0
Taking the square root of both sides: x = 0
Therefore, the solution set for fog(x) = gof(x) is {0}.
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Before a raise, Gwen earned $210.00 each week at her job. She received a 2.5% raise. Which expression represents Gwen’s new earnings?
Answer:
215.25 is what she earns now
Step-by-step explanation:
first find 2.5% of 210 (2.5/100)*210
= 5.25
then add 5.25 to 210
=215.25
hope this helped
Answer:
Step-by-step explanation:
Where are the expressions?
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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A firm with $600,000 in sales, cash on hand of $750,000, liabilities of $200,000, and total assets of $1 million has a total asset turnover of
the firm has a total asset turnover of 0.6, which means that for every $1 of total assets, the firm generates $0.6 in sales. This ratio indicates the firm's efficiency in utilizing its assets to generate revenue
Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing the total sales by the average total assets. In this case, the firm has $600,000 in sales and total assets of $1 million.
Total Asset Turnover = Total Sales / Average Total Assets
To calculate the average total assets, we sum the beginning and ending total assets and divide by 2:
Average Total Assets = (Beginning Total Assets + Ending Total Assets) / 2
Given that the firm's total assets are $1 million, the average total assets would also be $1 million.
Plugging in the values into the total asset turnover formula:
Total Asset Turnover = $600,000 / $1,000,000 = 0.6
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In a store, 7/200 of the shirts are yellow and 69/600 are pink . What percent of the shirts are not yellow or pink.?
Answer:
510/600 of the shirts are not yellow or pink.
Step-by-step explanation:
First we turn 7/200 with a denominator of 600.
7/200 = 21/600
Next we add 69/600 with 21/600.
69/600 + 21/600 = 90/600
Now we subtract 600 by 90.
600 - 90 = 510.
So, the answer is 510/600
Hope this helps! :)
Find the distance between ( – 5,2) and (7, – 7).
Answer:
15 bc its when you subtract both numbers than dived
Step-by-step explanation:
-10(-1/2y+(-7/2)+7y=-25
Answer:
y = -5
Step-by-step explanation:
-10(-1/2y + (-7/2)) + 7y = -25
Let's first of all expand the bracket to get;
5y + 35 + 7y = -25
12y + 35 = -25
12y = -25 - 35
12y = -60
y = -60/12
y = -5
Emerson needs an average of at least 90 points in order to earn an "A" in his science
class. So far, his test scores are 92, 86, and 88. What is the lowest grade Emerson can
score on his final test in order to earn an "A"?
s < 94, Emmerson must earn below a 94 on his final test to earn an "A" in his class.
b) s > 94, Emmerson must earn above a 94 on his final test to earn an "A" in his class.
c) s < 94, Emmerson must earn at most a 94 on his final test to earn an "A" in his class.
d) s 294, Emmerson must earn at least a 94 on his final test to earn an "A" in his class.
Answer:
D) Emerson must earn at least a 94 on his final test to earn an “A” in his class
Step-by-step explanation:
We calculate this using mean in this format:
Test Scores / # of Test ≥ 90 (which is an A)
Substitute:
(92 + 86 + 88)+ x / 4 ≥ 90
Add:
266 + x / 4 ≥ 90
Get Rid of the Denominator:
(4) 266 + x / 4 ≥ 90 (4)
Multiply:
266 + x ≥ 360
Isolate x (Subtract 266 From Both Sides):
x ≥ 94
This means that x (His final test score) has to be greater than (above) or equal to 94. A term for greater than or equal to is “at least.” Hope this helps :)
What is the equation for this trig function?
(Open ended question)
Which trig function is the best representation for this graph?
A. sin (x)
B. - sin (x)
C. - cos (x)
D. cos (x)
Assuming that the scale for the y-axis is one box represents it be unit what could be the amplitude of this function?
A. 1
B. -1
C. 3
D. -3
Answer:
A. y = cos x
Step-by-step explanation:
The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.
Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.
Step-by-step explanation:
what is the missing length? 16km area=224km
The missing length, considering a rectangle with dimensions 16 km and x km, with an area of 224 km, is given as follows:
x = 14 km.
How to obtain the area of a rectangle?The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:
A = lw.
The parameters for this problem are given as follows:
Width of 16 km.Length of x km.Area of 224 km.Hence the length is obtained as follows:
16x = 224
x = 224/16
x = 14 km.
Missing InformationThe problem asks for the missing length, considering a rectangle with dimensions 16 km and x km, with an area of 224 km.
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What is the length of line segment AB with endpoints
A(3, 1) and B (0, -3)
Greetings from Brasil...
The expression that allows you to calculate the distance between two points is:
d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]Bringing to our problem:
d(A; B) = √[(0 - 3)² + (- 3 - 1)²]
d(A; B) = √[(- 3)² + (- 4)²]
d(A; B) = √[9 + 16]
d(A; B) = √[25]
d(A; B) = 5Como expresar este ejercisio por cada 6 cuadrados hay 3 círculos.
The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:
Ratio FormProportional statement Equation form How to express the exercise ?This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.
The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.
You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.
There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.
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The translated question is:
How to express this exercise for every 6 squares there are 3 circles.
Fix a confidence level C. The tn-critical value for C will [ Select ] ["be less than", "be greater than", "be equal to", "have a relationship which depends on n"] the tn−1 critical value for C.
And the z-critical value for C will [ Select ] ["be less than", "be greater than", "be equal to", "have a relationship which cannot be determined"] the tn-critical value for C.
The tn-critical value for a given confidence level C will be greater than the tn-1 critical value for the same confidence level C.
In statistical hypothesis testing, critical values are used to determine the boundaries of the critical region or the rejection region. The critical values are based on the desired confidence level C and the distribution being used.
For a t-distribution, the tn-critical value represents the value beyond which the test statistic falls in the tail region, leading to rejection of the null hypothesis. As the degrees of freedom increase (n-1), the tn-critical value becomes smaller. Therefore, the tn-critical value for a given confidence level C will be greater than the tn-1 critical value for the same confidence level C.
On the other hand, for a normal distribution (z-distribution), the z-critical value represents the value beyond which the test statistic falls in the tail region. The z-critical value is fixed regardless of the sample size. Since the t-distribution has fatter tails compared to the normal distribution, the tn-critical value will be greater than the z-critical value for the same confidence level C.
In summary, the tn-critical value for a confidence level C will be greater than the tn-1 critical value, while the z-critical value for a confidence level C will be greater than the tn-critical value.
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What is the value of x, given that OP||NQ ?
Answer:x=37
Step-by-step explanation:
PLEAEEE HELPP!!
Find the measure of minor arc CG
Answer:
56
Step-by-step explanation:
56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34
(30 − 12) x 2 Question 1 Which is a way to show this expression in words? Responses A First, subtract 12 from 30, then multiply by 2.First, subtract 12 from 30, then multiply by 2. B Find the sum of 30 and 12 before multiplying by 2.Find the sum of 30 and 12 before multiplying by 2. C Find the difference of 30 and 12, then divide by 2.Find the difference of 30 and 12, then divide by 2. D First, find the product of 30 and 12, then multiply by 2.First, find the product of 30 and 12, then multiply by 2. Question 2 What is another way to show this expression in words? Responses A Double the difference between 30 and 12.Double the difference between 30 and 12. B Subtract 30 from 12 before multiplying by 2.Subtract 30 from 12 before multiplying by 2. C First subtract 12 from 30, then triple the result.First subtract 12 from 30, then triple the result. D Find the sum of 12 and 30 before multiplying by 2.Find the sum of 12 and 30 before multiplying by 2.
A way to show this expression in words is First, subtract 12 from 30, then multiply by 2. Option A
What is PEDMAS?PEDMAS is described as a mathematical acronym that is used for the representation of mathematical operations.
It also represents the order for which they should be used.
The letters represents;
P represents parenthesesE represents exponentD represents divisionM represents multiplicationA represents additionS represents subtractionFrom the information given, we have that;
(30 − 12) x 2
solve the parentheses first
8(2)
Multiply the value
16
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In a recent year, 22.7% of all registered doctors were female. If there were 43,800 female registered doctors that year, what was
the total number of registered doctors?
Round your answer to the nearest whole number.
l ok
Answer:
sdf67566655 so x is 129
Step-by-step explanation:
ytr654564676
Answer:32
Step-by-step explanation:
32 + 5 is funny
Ponsider the indefinite integral ∫cos13(6t)sin(6t)dt. The most appropriate substitution to simplify this integral is u= Then du= dt, sosin(6t)dt=cdu, where the constant c= After making the substitution we obtain the integral ∫f(u)du, where f(u)= This last integral, when evaluated, is After substituting back for u we obtain the following final form of the answer: ∫cos13(6t)sin(6t)dt=
In order to simplify the indefinite integral ∫cos^13(6t)sin(6t)dt, the most appropriate substitution is u = cos(6t). With this substitution, du = -6sin(6t)dt, and we can rewrite sin(6t)dt as (-1/6)du.
After making these substitutions, the integral becomes ∫(u^13)(-1/6)du. The last integral can be evaluated by applying the power rule for integration. Using the power rule, we add 1 to the exponent of u, and then divide by the new exponent. Therefore, we have (∫u^13du)/(-6) = -1/6 * (1/14)u^14.
Substituting back for u, we obtain the final form of the answer: ∫cos^13(6t)sin(6t)dt = -1/6 * (1/14)cos^14(6t) + C, where C is the constant of integration.
In summary, by making the appropriate substitution and applying the power rule, we simplify the integral and express the final result as -1/6 * (1/14)cos^14(6t) + C.
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r/4 +11=14. whats R????????
Answer:
R = 12
Step-by-step explanation:
Reduce the equation by subtracting 11 from both sides to get
r/4=3
Then, to get r alone, multiply by 4 on both sides.
r=12
So, R is 12.