The answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.To use a u-substitution to evaluate 0∫π/3 cos⁴xsinx dx, we will use the following steps:
Step 1: Choose a u-substitution that simplifies the integral. In this case, we will let u = cosx, which will allow us to rewrite the integral as 0∫1 u⁴(1-u²)du.
Step 2: Substitute the expression for u into the integral, and simplify. Using the substitution u = cosx, we have:
0∫π/3 cos⁴xsinx dx = 0∫1 u⁴(1-u²)du
Step 3: Evaluate the integral using standard integration techniques. Integrating u⁴(1-u²) with respect to u, we get:
∫ u⁴(1-u²)du = (1/5)u⁵ - (1/3)u³ + C
Step 4: Evaluate the integral from 0 to 1 using the substitution u = cosx. Substituting back, we have:
0∫π/3 cos⁴xsinx dx = (1/5)cos⁵x - (1/3)cos³x ∣₀ᴰ³/₃
Evaluating this expression at the limits of integration, we get:
(1/5)(cos⁵(π/3) - cos⁵(0)) - (1/3)(cos³(π/3) - cos³(0))
Simplifying, we get:
(1/5)(27/64 - 1) - (1/3)(3√3/8 - 1)
= -1/120 (27 - 64) - √3/24 + 1/3
= -5/24 - √3/24
Therefore, the answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.
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Find the distance (7,9) and (1,1) using the phythagorean theorem
Plsss I really need the answer
Answer:
Using the Pythagorean theorem we can first put the points into x and y
x1 = 7
y1 = 9
x2 = 1
y2 = 1
The distance between the two points can be found as follows:
d = √((x2 - x1)² + (y2 - y1)²)
= √((1 - 7)² + (1 - 9)²)
= √((-6)² + (-8)²)
= √(36 + 64)
= √100
= 10
Therefore, the distance between the points (7, 9) and (1, 1) is 10 units.
what test would you use if: -normal population -large sample -standard deviation NOT known
The t-value is less than or equal to the critical value, you would fail to reject the null hypothesis, indicating that the sample mean is not significantly different from the population mean.
If the population is normal, the sample is large, and the standard deviation is not known, the appropriate test to use would be the one-sample t-test.
The t-test is a statistical test that allows us to compare the means of two groups to determine if there is a significant difference between them.
In this case, we are interested in testing if a sample mean is significantly different from the population mean.
Since we do not know the standard deviation of the population, we use the standard deviation of the sample to estimate it.
The t-test takes into account the sample size, the sample mean, and the sample standard deviation to determine the probability of obtaining the observed sample mean if the population mean is the same as the sample mean.
If the calculated t-value is greater than the critical t-value at a given significance level, we can reject the null hypothesis that the sample mean is equal to the population mean and conclude that there is a significant difference between the two means.
In summary, the one-sample t-test is the appropriate test to use when dealing with a normal population, a large sample, and an unknown population standard deviation.
It allows us to test whether a sample mean is significantly different from the population mean and provides us with a measure of the probability of obtaining the observed sample mean by chance.
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Let:
U= {a, f, j, m, p, s, v}
X= {a, j, p, v}
Y= {a, f, j}
Z= {f, j, m, p, s}
Find the following set:
(Z UX') ' ∩ Y = {___}
The answer to the set (Z ∪ X')' ∩ Y = {a}.
-Since U = {a, f, j, m, p, s, v} and X = {a, j, p, v}, the complement of X, denoted as X', is the set of all elements in U that are not in X. Therefore, X' = {f, m, s}.
-Now, find the union of Z and X'. Z = {f, j, m, p, s} and X' = {f, m, s}. The union of Z and X', denoted as Z ∪ X', is the set of all elements in either Z or X' or both. Thus, Z ∪ X' = {f, j, m, p, s}.
-To find the complement of Z ∪ X', denoted as (Z ∪ X')', we need to find all elements in U that are not in Z ∪ X'. Since Z ∪ X' = {f, j, m, p, s} and U = {a, f, j, m, p, s, v}, (Z ∪ X')' = {a, v}.
-Finally, find the intersection of (Z ∪ X')' and Y. (Z ∪ X')' = {a, v} and Y = {a, f, j}. The intersection of (Z ∪ X')' and Y, denoted as (Z ∪ X')' ∩ Y, is the set of all elements that are in both (Z ∪ X')' and Y. Therefore, (Z ∪ X')' ∩ Y = {a}.
So, the answer is (Z ∪ X')' ∩ Y = {a}.
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Unit 10 circles homework one parts of a circle area and circumference questions 8 to 15
1. The parts of the circle identified are as explained below.
2. Area = 153.94 m²;
Circumference = 43.98 m;
3. Area= 706.86 ft²;
Circumference =94.25 ft;
4. Area = 326.85 in.;
Circumference = 64.09 in.
What is a Circle?A circle is described as a closed two-dimensional shape that consists of points that are equidistant from a central point called the center.
The example of each part using the diagram of the circle given is shown below:
a. a center= K
b. One radius = JK
c. A chord = JL
d. Diameter = JI
e. Secant = GI
f. Tangent = GJ
g. Point of tangency= J
h. A minor arc = IL
i. A major arc = HIL
j. Semicircle = JLI
k. A central angle is less than JKL
l. An inscribed angle is less than HIJ
2. we then apply the area and circumference formula to find each required measure for each circle.
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Complete question is attached in diagram:
Solving nonlinear problems with local optimal solutions is performed using _____________, in Excel Solver, which is based on more classical optimization techniques.
Nonlinear programming involves optimizing a nonlinear objective function subject to nonlinear constraints. Excel Solver uses the Generalized Reduced Gradient (GRG) algorithm to solve nonlinear programming problems. This algorithm is a variant of the more well-known Newton's method for optimization, but with modifications to handle nonlinear constraints.
Solving nonlinear problems with local optimal solutions can be performed using various optimization techniques, including gradient descent, Newton's method, and simulated annealing, among others. However, in Excel Solver, which is a widely used optimization tool, local optimal solutions are typically found using the more classical optimization technique of nonlinear programming.
The GRG algorithm iteratively computes the gradient and Hessian of the objective function, and then uses this information to update the decision variable values. The algorithm then checks whether the updated solution satisfies the nonlinear constraints. If it does, the algorithm terminates. Otherwise, the algorithm modifies the constraints and repeats the process until a feasible solution is found.
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201
6 Richard writes a number pattern that starts at 1 and follows
the rule "Add 1, then multiply by 3." Heather writes a number
pattern that starts at 1 and follows the rule "Add 3, then multiply
by 2." Write the first five ordered pairs with the x-coordinate
representing the numbers in Richard's pattern and the y-coordinate
representing the corresponding numbers in Heather's pattern.
According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probability that it will be above 80 F for 20 or more days this June. There are 30 days in June.
The best way is to Keep track of how many times you roll a 1, 2, 3, or 4 in 30 rolls. These will represent the days the temperature is above 80° F in June. So, correct option is D.
Option A is not the best way to perform the simulation because it requires repeating the 30 rolls 20 times, which can be time-consuming and may not accurately reflect the true probabilities.
Option B is also not the best way to perform the simulation because it only accounts for the total number of times a temperature above 80°F is rolled, but not how many times it is rolled in a sequence. This can lead to inaccurate results, as consecutive days of above-80°F temperatures are more or less likely depending on the previous day's temperature.
Option C is better than option A because it involves repeating the 30 rolls 100 times, which increases the accuracy of the simulation. However, this may still be time-consuming and unnecessary.
Option D is the best way to perform the simulation because it tracks the number of days the temperature is above 80°F in June based on 30 rolls, which accurately reflects the probabilities given in the problem statement.
This method is efficient and effective in providing an accurate estimate of the probability of having 20 or more days above 80°F in June. Therefore, Option D is the best way to perform the simulation.
So, correct option is D.
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Which expression gives the solutions to the equation 2x2 + 5x – 10 = 0?
An expression is shown below:
x²-8x-4
Which of the following statements correctly describes the expression?
The expression can be expressed as (x-4)2-12; the minimum value of the function it defines is -12.
The expression can be expressed as (x-4)²-12, the maximum value of the function it defines is -12.
The expression can be expressed as (x-4)²-20, the minimum value of the function it defines is -20.
The expression can be expressed as (x-4)2-20, the maximum value of the function it defines is -20.
a.
b.
C.
d.
The given expression is expressed as [tex](x-4)^2-20[/tex] having minima value = -20
The given expression is f(x)=[tex]x^2-8x-4[/tex].
It can also be expressed as [tex](x-4)^2-20[/tex] as it simplifies to [tex]x^2-8x-4[/tex].
To find the maxima or minima the first derivative is calculated as follows.
f'(x) = 2x-8 which becomes zero at x=4.
To find whether it is maxima or minima at x=4 the second derivative is calculated as follows.
f''(x)=2 which comes out to be positive value hence it will be minima.
Substitute x=4 in given expression to get the minima value.
f(4)=4*4-8*4-4
f(4)=-20
Hence, the given expression has minima at x=4 which is equal to -20.
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This year, nelson planted 6 more than one-fifth of the tomato plants he planted last year. which expression represents the number of tomato plants he planted this year? one-fifth x minus 6 one-fifth x 6 5 x 6 5 x minus 6
Answer: Let the number of tomato plants Nelson planted last year be x.
According to the problem, he planted 6 more than one-fifth of the tomato plants he planted last year.
So, the number of tomato plants he planted this year is:
(1/5)x + 6
Therefore, the expression that represents the number of tomato plants he planted this year is (1/5)x + 6.
zach went shopping for some new clothes. He purchased 3 new shirts(solid,striped,plaid)2 pairs of pants(blue,and grey)and two new ties (a bow tie and a regular tie) what is the probability of him wearing a solid shirt,blue pants and a bow tie?
Answer:
Probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.
Step-by-step explanation:
The probability of Zach wearing a solid shirt, blue pants, and a bow tie is equal to the product of the probabilities of each event happening independently.
The probability of Zach wearing a solid shirt is 1/3, since he has 3 shirts and only one of them is solid.
The probability of him wearing blue pants is 1/2, since he has 2 pairs of pants and only one of them is blue.
The probability of him wearing a bow tie is 1/2, since he has 2 ties and only one of them is a bow tie.
Therefore, the probability of Zach wearing a solid shirt, blue pants, and a bow tie is:
P(solid shirt) * P(blue pants) * P(bow tie) = 1/3 * 1/2 * 1/2 = 1/12
So the probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.
. If f(x) =x^3/3
and (x)=√x, find f(g(9)).
Answer: 9
Step-by-step explanation:
To find f(g(9)), we first need to substitute g(9) into the function f(x), and then evaluate the resulting expression.
Given that g(x) = √x, we can replace x with 9 (since we're looking for g(9)) in the expression for g(x):
g(9) = √9
Since the square root of 9 is 3, we have:
g(9) = 3
Now, we can substitute g(9) into the function f(x) = x^3/3, replacing x with 3:
f(g(9)) = (3)^3/3
Using the exponent rule for cube, we get:
f(g(9)) = 27/3
Simplifying the division, we get:
f(g(9)) = 9
So, the value of f(g(9)) is 9.
Answer: 3
Step-by-step explanation:
[tex]f(x)=\frac{x^{3} }{3}[/tex] and g(x)=∛x I'm assuming the g(x) being (x)
probably a typo
f(g(9)) = ? solve for g(9) first
This means plug in 9 for x for the g(x) equation
g(9) = ∛9 does not simplify so plug your answer for g(9) into f(x)
so every time you see x in f(x) put ∛9
[tex]f(g(x))=\frac{(\sqrt[3]{9} )^{3} }{3}[/tex] the root and exponent cancel out because same
=9/3
=3
How large must be a test statistic to reject the null hypothesis in favor of alternative hypothesis?
To determine how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis, we need to first establish a hypothesis test. A hypothesis test is a statistical procedure that helps us determine if there is enough evidence to support a particular hypothesis.
In a hypothesis test, we start with a null hypothesis (H0) which is a statement that there is no significant difference between two groups or variables. The alternative hypothesis (Ha) is the statement that there is a significant difference between the two groups or variables.
Once we have established our null and alternative hypotheses, we need to conduct a statistical test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The test statistic is the numerical value that we obtain from our statistical test, which we compare to a critical value to determine if we can reject the null hypothesis.
The critical value is determined by the level of significance (α) we have chosen for our test, which is the probability of making a type I error (rejecting the null hypothesis when it is actually true). Typically, the level of significance is set at 0.05 or 0.01.
So, to answer the question, how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis depends on the level of significance we have chosen, as well as the degrees of freedom and distribution of the test statistic. The critical value for a given level of significance and degrees of freedom can be found in statistical tables or calculated using software. If the test statistic is larger than the critical value, we can reject the null hypothesis in favor of the alternative hypothesis.
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The table shows the number of rabbits r in a particular forest t years after a forest fire. Write and use an exponential model to find how many years it will take for the rabbit population to surpass 20,000. Please show your work!
Answer:
t = 6.29 years
Step-by-step explanation:
The general formula of an exponential function is
[tex]y=ab^x[/tex], where a is the initial value (i.e., value of y when x = 0), b is the base, and x is the exponent.
We can express rabbit population as a function of time in years, which means in our formula, r is like y and t is like x:
[tex]r=ab^t[/tex]
Because at time t = 0, the rabbit population is 20, we know that our a value for the equation is 20.
We can find b by simply plugging in 20 for a and any point for r and t like (1, 60):
[tex]60=20b^1\\3=b[/tex]
Thus, the equation we will need to use to find the rabbit population is
[tex]r < 20(3)^t[/tex]
It's helpful to use an inequality where the equation is greater than r since we want to know how many years it will take for the population to exceed 20000:
[tex]20000 < 20(3)^t\\\\1000 < 3^t\\\\log(1000) < log(3)^t\\\\log(1000) < t*log(3)\\\\log(1000)/log(3) < t\\\\6.287709823 < t\\6.29 < t[/tex]
We can check our answer by plugging in 6.29 for t and check whether the answer we get is greater than 20000:
[tex]20000 < 20(3)^6^.^2^9\\20000 < 20*1002.519185\\20000 < 20050.38369\\20000 < 20050.38[/tex]
1 3 6 10, can you write the ninth triangular number as a consecutive number
Answer:
So, the ninth triangular number can be written as the sum of the consecutive numbers 11, 12, 13, and 14.
Step-by-step explanation:
The ninth triangular number can be calculated by adding the first 9 natural numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45.
To write 45 as a consecutive number, we could start with 11 and add consecutive numbers until we reach 45.
11 + 12 + 13 + 14 = 50
So, the ninth triangular number can be written as the sum of the consecutive numbers 11, 12, 13, and 14.
To divide a decimal number by 1000, move the decimal point
Answer:
you move the decimal point three times
Which of the Stack methods will add an int to the top of x?
a. x.pop(int 42);
b. x.append(int 42);
c. x.enqueue(int 42);
d. x.top(int 42);
e. x.push(int 42);
The method that will add an int to the top of x in a stack data structure is the "push" method. Therefore, the correct option is:
e. x.push(int 42);
The "push" method adds an element to the top of the stack, increasing the size of the stack by one. The element pushed onto the stack becomes the new top of the stack. The other options listed do not correctly implement the behavior of adding an element to the top of a stack.
- The "pop" method removes and returns the top element of the stack.
- The "append" method is typically used to add elements to a list or an array, not a stack.
- The "enqueue" method is typically used in a queue data structure, not a stack.
- The "top" method returns the top element of the stack without removing it, but it does not add a new element to the stack.
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What is the area, in square centimeters, of the shape below? Express
your answer as a fraction in simplest form.
1/6 cm
3/5 cm
Answer:0.096
Step-by-step explanation:
1/6 = 0.16
3/5 = 0.6
0.16 times 0.6 = 0.096
hope that helps
Please help me find (fg) (x) and (f/g) and state the domain of each. Then evaluate
The value of (fg)(4) = 192 and (f/g)(4) = 4/3.
The given functions are,
f(x) = [tex]2^{x}[/tex]
g(x) = 3x
x = 4
Now multiplication of functions
(fg)(x) = f(x).g(x)
= (3x)( [tex]2^{x}[/tex])
At x = 4
(fg)(4) = (3x4)( [tex]2^{4}[/tex])
= 12x16
⇒(fg)(4) = 192
Now division of functions
(f/g)(x) = f(x) /g(x)
= [tex]2^{x}[/tex]/3x
At x = 4
(f/g)(4) = [tex]2^{4}[/tex]/3x4
= 16/12
⇒(f/g)(4) = 4/3
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
12y - 15x = 84
PLS HURRY
Answer:
Step-by-step explanation:
12y - 15x = 84 you want to make the equation look like y=mx+b
12y=15x+84 bring over the x term
y=5/4 x +7 divide both sides by 12
Which tool makes an exact duplicate of what it is sampling?
The tool that makes an exact duplicate of what it is sampling is called a "clone stamp" tool.
What is a "clone stamp" tool?
A "clone stamp" tool is a function included in image editing software such as Adobe Photoshop that allows you to sample a specific region of a picture and reproduce it elsewhere.
The clone stamp tool creates an identical copy of the original by copying pixels from the selected source area and pasting them onto the region where the tool is applied.
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what test would you use if: -normal population -large sample -standard deviation known
z-test will help you analyze the sample mean and make inferences about the population mean.
The normal population and a large sample with a known standard deviation, the appropriate statistical test to use would be the z-test.
The z-test is a hypothesis test that is used to determine whether the sample mean is significantly different from the population mean.
It is a parametric test that assumes the sample is normally distributed and the population standard deviation is known.
To perform a z-test, you would first calculate the z-score by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.
You would then consult a z-table or use a statistical software package to determine the p-value associated with the z-score. If the p-value is less than the level of significance (usually 0.05), you would reject the null hypothesis and conclude that the sample mean is significantly different from the population mean.
The z-test is a powerful tool for hypothesis testing, particularly when dealing with large samples and known population standard deviation.
It allows researchers to make inferences about a population based on a sample, providing valuable insights into the behavior of the larger population.
However, it is important to ensure that the assumptions of the test are met before using it, as violating these assumptions can lead to inaccurate results.
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Emanuel needs 6 lengths of ribbon, each 4 feet long, to make ribbon flowers. How much ribbon does he need altogether?
Answer: 24 feet of ribbon needed in total
Step-by-step explanation:
Length of 6 ribbons = Length of a ribbon x 64 feet x 624 feetWith two fair standard (1,2,3,4,5,6) dice rolled once, what is P(sum of 7)?
The probability of getting a sum of 7 when rolling two fair standard dice is 1/18.
To find the probability of getting a sum of 7 when rolling two fair standard dice, we need to determine the number of favorable outcomes (getting a sum of 7) and the total number of possible outcomes.
The total number of possible outcomes when rolling two dice is 6 * 6 = 36 because each die has 6 possible outcomes.
To get a sum of 7, we need one die to show a value of 1 and the other die to show a value of 6, or vice versa. There are two ways this can happen: (1, 6) and (6, 1).
Therefore, the number of favorable outcomes is 2.
The probability of getting a sum of 7 is given by:
P(sum of 7) = Number of favorable outcomes / Total number of possible outcomes
P(sum of 7) = 2 / 36
P(sum of 7) = 1 / 18
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The distance between bases in a baseball diamond is 90 ft. The distance between bases in softball is 60 ft. If each diamond is a rhombus that has the same height, what is the ratio of the area of a base ball diamond to the area of a softball diamond?
The ratio of the area of a base ball diamond to the area of a softball diamond is 9/4
What is the ratio of the area of a base ball diamond to the area of a softball diamond?From the question, we have the following parameters that can be used in our computation:
The distance between bases in a baseball diamond is 90 ft. The distance between bases in softball is 60 ft.This means that
d1 = 90
d2 = 60
So, the ratio of the side lengths are
r = d1/d2
This gives
r = 90/60
Simplify
r = 3/2
For the area ratio, we have
r^2 = 9/4
Hence, the ratio is 9/4
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False positive when you reject a null hypothesis that should have been accepted
type ________ error
When you reject a null hypothesis that should have been accepted, it is called a type I error or a false positive. This means that the conclusion you reached was not supported by the evidence, and you falsely concluded that there was a significant effect or relationship between the variables being studied.
To avoid false positives, it is important to carefully design experiments and tests, and to use appropriate statistical methods. This includes setting a reasonable level of significance or alpha level, which is the probability of rejecting a null hypothesis when it is actually true.
Additionally, it is important to critically evaluate any positive results and consider alternative explanations for the findings. This can help to ensure that your conclusions are well-supported and not simply the result of chance or bias.
Overall, while false positives can be frustrating, they are a natural part of the scientific process and can be minimized through careful planning, analysis, and interpretation of data. By remaining open-minded and rigorous in our approach, we can arrive at more accurate and reliable conclusions that can advance our understanding of the world around us.
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Can someone please help me ASAP? It’s due tomorrow!! I will give brainliest if it’s all correct
Please do part a, b, and c
Part A: Based on the image, Zachary used systematic sampling method, and he must have recorded the color of every fifth car that was known to traveled north.
What is the Percentage about?Part B: To know the percentage of red cars and black cars from all of sample, we have to calculate the total number of cars in all sample first and it is done below:
Sample 1:
Total cars = 3 + 5 + 3 + 6 + 3
= 20
The Percentage of red cars = (3/20) x 100%
= 15%
The Percentage of black cars = (6/20) x 100%
= 30%
Sample 2:
Total cars = 4 + 7 + 3 + 4 + 2
= 20
The percentage of red cars = (4/20) x 100%
= 20%
The percentage of black cars = (4/20) x 100%
= 20%
Sample 3:
Total cars = 2 + 6 + 3 + 4 + 5
= 20
The percentage of red cars = (2/20) x 100%
= 10%
The percentage of black cars = (4/20) x 100%
= 20%
Sample 4:
Total cars = 3 + 4 + 4 + 5 + 4
= 20
The percentage of red cars = (3/20) x 100%
= 15%
The percentage of black cars = (5/20) x 100%
= 25%
Sample 5:
Total cars = 2 + 4 + 3 + 5 + 6
= 20
The percentage of red cars = (2/20) x 100%
= 10%
The percentage of black cars = (5/20) x 100%
= 25%
Part C:
The Two conclusions that I have drawn are:
The percentage of red cars and black cars changes over the diverse samples, showing that there may be a few variability within the colors of cars that pass through the crossing point at distinctive times.The percentage of black cars is way much higher than the percentage of red cars in all of sample and this shows that black cars will be more common than red cars in the above area.Learn more about Percentage from
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See text below
All changes saved Zachary took five random samples of cars that passed through the intersection near his school. He recorded the color of every fifth car that traveled north, and the results of his samples are organized in the table below.
Sample1 Sample2 Sample3 Sample4 Sample5
red 3 4 2 3 2
white 5 7 6 4 4
blue 3 3 3 4 3
black 6 4 4 5 5
gray 3 2 5 4 6
Part A: What sampling method did Zachary use to gather his data?
Part B: Determine the percentage of red cars from each sample and the percentage of black cars from each sample.
Part C: Draw two conclusions about your findings from Part B.
If the A.P. cost of a head of lettuce is $1.25 lb and the yield factor is .88, what is the E.P. cost (in dollars per pound) of .90 lb head of lettuce
The E.P. cost per pound of .90 lb head of lettuce is 1.58.
To find the E.P. (edible portion) cost per pound of lettuce, we need to adjust the A.P. (as purchased) cost based on the yield factor.
First, let's calculate the A.P. cost per pound of lettuce:
A.P. cost = 1.25/lb
Next, let's calculate the edible portion weight of a .90 lb head of lettuce:
Edible portion weight = .90 lb x .88 (yield factor) = .792 lb
Finally, we can calculate the E.P. cost per pound of lettuce as follows:
E.P. cost = A.P. cost / edible portion weight
E.P. cost = 1.25/lb / .792 lb
E.P. cost = 1.58/lb
Therefore, the E.P. cost per pound of .90 lb head of lettuce is 1.58.
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If 1 serving of stir fry uses 2/3 cup of rice, how many cups are in 13 servings?
Answer:
26/3 cup of rice
Step-by-step explanation:
We Know
1 serving of stir fry uses 2/3 cup of rice.
How many cups are in 13 servings?
We Take
2/3 x 13 = 26/3 cup of rice
So, there are 26/3 cups of rice are in 13 servings.
Answer:
26/3 (8 2/3) cups
Step-by-step explanation:
If one serving of stir fry uses 2/3 cups of rice,
1:2/3
If there are 13 servings,
13: 2/3 * 13
13: 26/3
So 26/3 cups of rice
Suppose the units were changed and total sales values were given in dollars instead of millions of dollars:
If the units were changed and the total sales values were given in dollars instead of millions of dollars, the numbers would be much larger. For example, if the sales of a particular product were $10 million, it would be represented as $10,000,000 instead.
This would not affect the calculation of the average price per unit, as this value is independent of the total sales value.
However, it would make it easier to compare the sales figures of different products or companies, as they would all be expressed in the same units.
It is important to note that when working with large numbers, it is common to use scientific notation or abbreviations to make them easier to read and work with.
For example, $1 million could be written as 1M or 1E6 (where E represents "times 10 to the power of").
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