(a) The null hypothesis is H0: p1 = p2 and the alternative hypothesis is H1: p1 ≠ p2.
(b) The test statistic is 2.025.
(c) The critical value is 2.706.
Test the null hypothesis: Since the test statistic of 2.025 is less than the critical value of 2.706, the null hypothesis is not rejected. There is not sufficient evidence to conclude that p1 ≠ p2 at the 0.10 level of significance. Therefore, the correct conclusion is "Do not reject the null hypothesis. There is not sufficient evidence to conclude that p1 ≠ p2."The contingency table is as follows:
Treatment B Total Success Failure Treatment A Success 41 16 57 Failure 22 24 46 Total 63 40 103Where p1 represents the proportion of success for Treatment A and p2 represents the proportion of success for Treatment B. The population proportions differ at the 0.10 level of significance using the given contingency table as follows:
(a) The null hypothesis is H0: p1 = p2 and the alternative hypothesis is H1: p1 ≠ p2.
(b) The test statistic is 2.025.
(c) The critical value is 2.706. Therefore, the correct conclusion is "Do not reject the null hypothesis.
There is not sufficient evidence to conclude that p1 ≠ p2."
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find the total differential of the function w = e y cos(x) z^2 .
To find the total differential of the function w = e^y * cos(x) * z^2, we can take the partial derivatives with respect to each variable (x, y, and z) and multiply them by the corresponding differentials (dx, dy, and dz).
The total differential can be expressed as:
dw = (∂w/∂x) dx + (∂w/∂y) dy + (∂w/∂z) dz
Let's calculate the partial derivatives:
∂w/∂x = \(-e^{y} * sin(x) * z^{2}\)
∂w/∂y = \(e^{y} * cos(x) * z^{2}\)
∂w/∂z = \(2e^{y} *cos (x)* z\)
Now, let's substitute these partial derivatives into the total differential expression:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y}* cos(x) * z^{2} ) dy + 2e^{y} *cos (x)*z) dz\)
Therefore, the total differential of the function w = e^y * cos(x) * z^2 is given by:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y} * cos(x) * z^{2} ) dy + ( 2e^{y} * cos(x) * z) dz\)
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Can someone help me please ? :)
Answer:
(4, 3 ) and (1.5, 8 )
Step-by-step explanation:
Given the 2 equations
2x + y = 11 → (1)
xy = 12 → (2)
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.
y = 11 - 2x → (3)
Substitute y = 11 - 2x into (2
x(11 - 2x) = 12 , that is
11x - 2x² = 12 ( subtract 12 from both sides )
11x - 2x² - 12 = 0
2x² - 11x + 12 = 0 ← in standard form
(x - 4)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5
Substitute these values into (3) for corresponding values of y
x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )
x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )
Consider the following time series data. Week 1 2 3 4 5 6 Value 19 13 16 10 18 15 Using the naïve method (most recent value) as the forecast for the next week, compute the following measures of forecast accuracy. Mean absolute error. Round your answer to one decimal place. fill in the blank 1 4.8 Mean squared error. Round your answer to one decimal place. fill in the blank 2 30.8 Mean absolute percentage error. Round your answer to two decimal places. fill in the blank 3 What is the forecast for week 7? Round your answer to the nearest whole number.
First, let us calculate the forecast for week 7. The naïve method (most recent value) is used to make the forecast. The most recent value is 15, so the forecast for the next week, which is week 7, is 15.
Using the naïve method as the forecast for the next week, the following measures of forecast accuracy are calculated.The given data is as follows:
Week 1 2 3 4 5 6Value 19 13 16 10 18 15.
Now we will calculate the Mean absolute error:
Mae = (19-13)+(13-16)+(16-10)+(10-18)+(18-15) / 5=6+3+6+8+3 / 5=6.4.
Therefore, the Mean absolute error is 6.4.
Mean squared error can be calculated as follows:
Mse = [(19-13)²+(13-16)²+(16-10)²+(10-18)²+(18-15)²] / 5=196 / 5=39.2.
Therefore, the Mean squared error is 39.2.
Now let us calculate Mean absolute percentage error:
Map = [ (6/19) + (3/13) + (6/16) + (8/10) + (3/18) ] / 5= 0.962.
Therefore, the Mean absolute percentage error is 0.96.
The forecast for week 7 is 15. Mean absolute error is 6.4. Mean squared error is 39.2. Mean absolute percentage error is 0.96.
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find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay.
Which of the following, if true, most seriously weakens the argument?
(A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries.
(B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat.
(C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
(D) Suriland is surrounded by countries that do not import any wheat.
(E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland.
Answer:
the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
Step-by-step explanation:
The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.
so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.
what is $20.00 take away $4.60
Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.
Calculate the price per item for each shop.
Write the shop which is the best value for money in the comment box.
Step-by-step explanation:
Step-by-step explanation:
Here, we want to know the shop with the best value for 20 items
For the Tesco shop, we have 4 for 1.84
So the price for 20 items will be 20/4 * 1.84 = 5 * 1.84 = 9.2
for the Asda shop, we have 5 for 2.4
Price for 20 items will be 20/5 * 2.4 = 9.6
This shows that Tesco is the best in value
Answer:
shop for clothes to take a clothes up?.
by a clothes to take the shop.so is may be able too.44|?.
What number needs to be in the blank for this system to have an infinite number of solutions?
y = -3x + 1
6x + 2y = ?
Answer:
? = 2
Step-by-step explanation:
Given:
y = -3x + 1
6x + 2y = ?
Slope-intercept form:
6x + 2y = a
y = a/2 - 3x
y = -3x + a/2
or y = -3x + 1/2a
Go back to given equations:
y = -3x + 1
y = -3x + 1/2a
y = y
-3x + 1 = -3x + 1/2a
1 = 1/2a
a = 2
F
is directly proportional to
a
.
If
F
=
24
when
a
=
8
find,
F
when
a
=
6
Answer:
F=6*24/8.....F=6*3=18
it takes 1/3 cup of water to fill 3/4 of a container how much water in cups will the full container hold?
Answer:volume of container: v. Then (2/3)v=(1/2) cup. Solving for v,
1/2 cup 1 cup 3
v = -------------- = --------- * -------- = 3/4 cup (answer)
2/3 2 2
Step-by-step explanation:
HELPPPP!!!! geometry plzzz.....
What is the distance between (3,-4) and (8,8) ?
Answer:
13
Step-by-step explanation:
To find the distance, d, between two points on the Cartesian plane use the distance formula.
\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
The points are (3, -4) and (8, 8), so you can use:
x1 = 3
y1 = -4
x2 = 8
y2 = 8
Now plug in all values above in the formula and evaluate it.
\( d = \sqrt{(8 - 3)^2 + [8 - (-4)]^2} \)
\( d = \sqrt{(5)^2 + (8 + 4)^2} \)
\( d = \sqrt{25 + (12)^2} \)
\( d = \sqrt{25 + 144} \)
\( d = \sqrt{169} \)
\( d = \sqrt{13} \)
true/false. in minimizing a unimodalfunction of one variable by golden section search,the point discarded at each iteration is always thepoint having the largest function value
False. In minimizing a unimodal function of one variable by golden section search, the point discarded at each iteration is the point with the least desirable function value.
The golden section search algorithm aims to find the minimum point of a unimodal function within a given interval. It divides the interval into two sub-intervals using the golden ratio, and then discards one of the sub-intervals based on the function values at the endpoints.
At each iteration, the algorithm evaluates the function at two points within the interval (the two endpoints of the current sub-interval) and compares their function values. The point that is discarded is the one that has a higher function value, as it is assumed that the minimum point lies in the other sub-interval with the lower function value.
By discarding the sub-interval with the higher function value, the algorithm narrows down the search space iteratively until it converges to the minimum point of the function.
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A 18 ft tall flagpole standing next to a tent costs o 27 ft shadow. If the tent casts a shadow that is 15 ft long. then how tall is it?
heights of statistics students were obtained by the author as part of an experiment conducted for class. the last digits of those heights are listed below. con-struct a frequency distribution with 10 classes. based on the distribution, do the heights appear to be reported or actually measured? what do you know about the accuracy of the results?
The heights of statistics students were obtained by the author as part of an experiment conducted for class.
Last Digits of Heights: 0, 8, 4, 6, 8, 0, 3, 1, 7, 5
Frequency Distribution:
Class Frequency
0-9 4
10-19 3
20-29 1
30-39 1
40-49 0
50-59 0
60-69 0
70-79 1
80-89 2
90-99 0
Based on the frequency distribution, the heights appear to be reported rather than actually measured. This suggests that the accuracy of the results may be questionable, as it is possible that the heights were rounded or estimated.
The heights of statistics students were obtained by the author as part of an experiment conducted for class. From the frequency distribution, it appears that the heights were reported rather than actually measured, suggesting that the accuracy of the results may be questionable.
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Camila goes out to lunch. The bill, before tax and tip, was $9.20. A sales tax of 3% was added on. Camila tipped 19% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.
Answer:
$0.276
Step-by-step explanation:
Given data
Bill= $9.20
Tax= 3%
Tip= 19%
Let us find the amount of the tax and the tip
Tax
=3/100*9.20
=0.03*9.2
=$0.276
Amount after sales tax
= 0.276+9.20
=$9.476
Tip
=19/100*9.476
=0.19*9.476
=$1.80044
Therefore the sales tax
=$0.276
please help will give brainlyest need help asap
Answer:
friend me on here and imma send you the link Step-by-step explanation:
What is the exact value of the trigonometric expression?
tan (7π/4)
a) -√2/2
b)1
c)-1
d)√2/2
Which of the following describes the rigid transformation in the function
shown below?
y + 5 = -2(x - 1)
Answer: The Graph Is shifted 5 units down.
(I believe you might have forgotten to square the “(x-1)”. It should be “(x-1)^2”)
find the equation of parabola
Answer:
y = (x-2)² + 1
OR
y = x² - 4x + 5
Step-by-step explanation:
Use the vertex form equation of a parabola.
y = a(x-h)² + k
Where (h,k) is the turning point.
Sub in the vertex and one other point
y = a(x-2)² + 1
5 = a(0-2)² + 1
4a = 4
a = 1
Therefore the equation for this parabola is:
y = (x-2)² + 1
In standard form it is:
y = x² - 4x + 5
Solve for x.
18 /x =-2
Answer:
X=-9
Step-by-step explanation:
Answer:
x = -9
Step-by-step explanation:
what is 9*8
\(3 \times 3 = \)
WHAT IS IT??
In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.
Answer:
All the letter choices are correct.
Step-by-step explanation:
If thats not what you wanted, just comment below. Thank you!
Answer:
All letters showed are correct
Step-by-step explanation:
Question 4 (1 point ) Tell whether the sequence is arithmetic. If it is, what is the common difference? 2,7,13,20,dots
a yes; 5
b yes; 6 c yes; 2 d no
The sequence is arithmetic. The common difference is 6. Answer: b
If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ... to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.
The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.
Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7
Therefore, the common difference d is 6.
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The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 72 and 84? (a) 0.683 (b) 0.954 (c) 0.271 (d) 0.340
The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .
In the question ,
it is given that ,
The random variable X is said to be normally distributed ,
the mean is given as , μ = 70 , and
standard deviation of normal distribution is (σ) = 10
probability that X is between 72 and 84 is written as P(72 < X < 84)
= P((72 - 70)/10 \(<\) Z \(<\) (84 - 70)/10)
= P(0.2 < Z < 1.4)
= P(0 \(<\) Z \(<\) 1.4) – P(0 \(<\) Z \(<\) 0.2)
From the z table , we get the values as
= 0.4192 – 0.0793
= 0.3399
≈ 0.340
Therefore , The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .
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Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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Who knows how to do this I TRULY NEED HELP
Answer:
x = 10
Step-by-step explanation:
It's given in the question that both the traingles JCD & JKL are similar. So their ratio of corresponding similar sides will be proportional to each other.
\( = > \frac{JD}{JL} = \frac{JC}{JK} = \frac{DC}{LK} \)
\( = > \frac{15}{50} = \frac{8 + x}{60} = \frac{DC}{LK} \)
\( = > \frac{15}{50} = \frac{8 + x}{60} \)
\( = > 8 + x = \frac{15 \times 60}{50} = 18\)
\( = > x = 18 - 8 = 10\)
Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected?
Given:
a.) The chance of Kenny being selected is 1/29.
From the given, we can say that the total population is 29.
Since it's been given that Kenny and Tara are both memb
Help will mark as brainliest
Answer:
20. a
21. d
22. c
Step-by-step explanation:
20. linear function
if x changes by 1, y changes by -3 => the slope is constant
21. y = 4(1/2)^x
if x = 0, y = 4, so c is false
if x = 1, y =2, so a is false
if x = -1, y = 8, so b is false
then d is the correct answer
22. y = 8 x 2^x
if x = 0, y = 8, so d is false
if x = 2, y = 32, so a is false
if x = -2, y = 2, so b is false
then c is the correct answer
there is a 5 person round table. 5 different people sit down at the table. what are the odds that sue will sit next to bob?
The probability that Sue will sit next to Bob is 96/24 = 4. So, the odds are 4:1.
We need to find out the odds that Sue will sit next to Bob. There is a round table with five different people. Therefore, the total number of ways that five different people can be seated at a round table is (5 - 1)! = 4!.
Thus, there are 24 ways that these five different people can be seated around the table. Now, let's say Sue and Bob are sitting next to each other. Thus, there are 4! = 24 ways in which they can be seated around the table. Now, Sue and Bob can be treated as a single unit since they are sitting together. So, there are a total of 48 + 48 = 96 possible ways that Sue will sit next to Bob in a 5 person round table. There are 24 possible ways that 5 people can be seated around the table.
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6v + 38 = -4 or 2(v + 3) = -2
How do I solve this?
The value of v will be equal to -7.
An expression is given i.e., 6v + 38 = - 4
We have to find out the value of v by solving the expression.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
The given expression is ; 6v + 38 = -4
So ; the value of v after solving the expression will be ;
6v + 38 = - 4
6v = -4 - 38
6v = -42
v = -42/6
v = -7
Thus , the value of v will be equal to -7.
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