A dairy farmer is looking at methods for transporting milk from her farm to a dairy plant. Three different methods are trialed over fourteen working days, and the daily costs of the methods (in $ 100) were as follows: Method 1 5.51 6.47 7.08 5.22Method 2 6.32 4.96 6.70 7.55 9.08Method 3 10.11 9.17 8.17 7.22 8.33Part a) TRUE or FALSE: If applying the analysis of variance (ANOVA) to these data, we must assume... i) The sample mean costs for the three methods are equal A. True B. Falseii) The daily costs from each method are from a Normal distribution A. True B. Falseiii) The daily costs for each method are independent. A. True B. Falseiv) The sample standard deviations of the costs for each method are equal. A. True B. Falsev) The daily costs for the different methods are independent. A. True B. False

She would be able to fill only one spherical mold with a diameter of 5 cm.

To calculate the number of spherical molds with a diameter of 5 cm that Carmen can fill with the same amount of powder, we need to compare the volumes of the two different sizes of molds.

The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Let's calculate the volumes of the two different sizes of molds:

For the molds with a diameter of 4 cm:

- Radius (r) = diameter / 2 = 4 cm / 2 = 2 cm

- Volume (V1) = (4/3) * π * (2 cm)^3 ≈ 33.51 cubic centimeters

For the molds with a diameter of 5 cm:

- Radius (r) = diameter / 2 = 5 cm / 2 = 2.5 cm

- Volume (V2) = (4/3) * π * (2.5 cm)^3 ≈ 65.45 cubic centimeters

Now, let's calculate the number of molds with a diameter of 5 cm that can be filled with the same amount of powder:

Number of molds = V1 / V2 = 33.51 cubic centimeters / 65.45 cubic centimeters ≈ 0.512

Since we can't have a fraction of a mold, Carmen would be able to fill 0 molds with a diameter of 5 cm with the same amount of powder. In other words, she would not be able to fill any spherical molds with a diameter of 5 cm using the given amount of powder.

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7) The transformation is a dilation by a scale factor of 1.5.

8) The transformation here is; Rotation 180° about the origin.

7) We are told that ABCG is transformed to KHIJ.

Coordinates of ABCG are;

A(-2, -3), B(0, 5), C(6, 0), G(1, -3)

Now, coordinates of KHIJ are;

K(-3, -4.5), H(0, 7.5), I(9, 0), J(1.5, -4.5)

Now, from the transformed shape, we see that its' coordinates are 1.5 times that of the original shape coordinates. Thus, we can say that the transformation is a dilation by a scale factor of 1.5.

8) We are told that ABC is transformed to KLJ.

Coordinates of ABC are;

A(-9, 8), B(-4, 7), C(-7, 1)

Now, coordinates of KLJ are;

K(9, -8), L(4, -7), J(7, -1)

It is clear that the transformation here is;

(x, y) → (-x, -y)

From transformation rules, we can say that the transformation here is;

Rotation 180° about the origin.

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The value of "a" for which v=[-6 a -7 -8] is in the set H= span([-3 -5 -3 1][0 -3 -3 5][0 0 -4 -5]) is a = 3.

Here's how to solve it.

The span of a set of vectors is defined as the set of all linear combinations of the vectors. Here, the span of H is the set of all linear combinations of the three vectors given in the problem statement, namely [-3 -5 -3 1], [0 -3 -3 5], and [0 0 -4 -5].

Thus, we can say that any vector v that is a linear combination of the above three vectors lies in the span of H.

Mathematically, we can write the above fact as:

v = c1 * [-3 -5 -3 1] + c2 * [0 -3 -3 5] + c3 * [0 0 -4 -5] where c1, c2, and c3 are constants (real numbers).

Now, let's substitute the value of v = [-6 a -7 -8] into the above equation. We get:

[-6 a -7 -8] = c1 * [-3 -5 -3 1] + c2 * [0 -3 -3 5] + c3 * [0 0 -4 -5]

Comparing the coefficients of the above equation, we get the following system of linear equations:-

3c1 + 0c2 + 0c3 = -6a (for the 1st entry)

-5c1 - 3c2 + 0c3 = -7 (for the 2nd entry)

-3c1 - 3c2 - 4c3 = -8 (for the 3rd entry)

1c1 + 5c2 - 5c3 = 0 (for the 4th entry)

Solving the above system of linear equations, we get the values of c1, c2, and c3 as follows:

c1 = 3c2 = -2c3 = 1

Substituting the values of c1, c2, and c3 into the equation v = c1 * [-3 -5 -3 1] + c2 * [0 -3 -3 5] + c3 * [0 0 -4 -5], we get:

v = 3 * [-3 -5 -3 1] - 2 * [0 -3 -3 5] + [0 0 -4 -5]= [-9 -15 -9 3] - [0 6 6 -10] + [0 0 -4 -5]= [-9 -9 -7 -12]

Therefore, we can see that if a = 3, then v = [-6 a -7 -8] = [-18 -7 -8] is in the span of H. Hence, the value of "a" for which v is in the span of H is a = 3.

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Answer: 50x - 27

Step-by-step explanation:

To find the 8th term of the arithmetic sequence, we need to first find the common difference between consecutive terms:

Common difference (d) = second term - first term

d = (8x - 3) - (x + 1)

d = 7x - 4

Now, we can use the formula to find the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Plugging in the values, we get:

a8 = (x + 1) + (8 - 1)(7x - 4)

a8 = x + 1 + 7(7x - 4)

a8 = x + 1 + 49x - 28

a8 = 50x - 27

Therefore, the 8th term of the arithmetic sequence x + 1, 8x - 3, 15x - 7 is 50x - 27.

There are four integer solutions that satisfy the given conditions: (7, 2, 5, 2), (10, 2, 5, 2), (20, 5, 2, 1), and (25, 4, 1, 1).

The equation wxyz = 100 has a finite number of integer solutions when the given conditions are satisfied. To find the number of solutions, we need to consider the factors of 100 and determine the combinations that meet the given conditions.

Since we have the restrictions w ≥ 7, x ≥ 0, y ≥ 5, and z ≥ 4, we can analyze the factors of 100 and their possible combinations that satisfy these conditions.

The prime factorization of 100 is 2^2 * 5^2. We can express 100 as a product of two factors in the following ways:

1 * 100

2 * 50

4 * 25

5 * 20

10 * 10

20 * 5

25 * 4

50 * 2

100 * 1

However, we need to consider the given conditions. From the conditions w ≥ 7, x ≥ 0, y ≥ 5, and z ≥ 4, we can eliminate certain combinations:

- In the cases where w is less than 7, the condition is not satisfied.

- In the cases where x is negative, the condition is not satisfied.

- In the cases where y is less than 5, the condition is not satisfied.

- In the cases where z is less than 4, the condition is not satisfied.

After considering these conditions, we find that the only valid combinations are:

7 * 2 * 5 * 2

10 * 2 * 5 * 2

20 * 5 * 2 * 1

25 * 4 * 1 * 1

Therefore, there are four integer solutions that satisfy the given conditions: (7, 2, 5, 2), (10, 2, 5, 2), (20, 5, 2, 1), and (25, 4, 1, 1).

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Let h be the height of the triangle. Then the base, b is given by b = 4h + 2. Since the area of the triangle is 36 square inches, we have 1/2 bh = 36, so 2(4h + 2)h = 36. Solving this equation yields h = 6 and b = 26.

To find the base and the height of the triangle, we can use the information given about the base and the area of the triangle. Let h be the height of the triangle. The base of the triangle is given by b = 4h + 2. Since the area of the triangle is 36 square inches, we can use the area formula to solve for h. The area of a triangle is 1/2 bh, so we can set up the equation 1/2 (4h + 2)h = 36. We can then solve this equation by multiplying both sides by 2 and then factoring the left side of the equation. This yields 2(4h + 2)h = 36, which can be rearranged to 4h^2 + 4h - 36 = 0. We can then solve this equation by factoring or using the quadratic formula. This yields h = 6 and b = 26. Therefore, the base of the triangle is 26 inches and the height is 6 inches.

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Answer:

5200 - 2677 - 543 = 1980

1980 + 3220 = 5200

We have 5200 total and we are subtracting 2677 and 543. 2677 + 543 = 3220. So 5200 - 3220 is 1980 just like 5200 - 2677 - 543. And we know to check with adding by doing 1980 + the ammoument we subtracted which is 3220. SO, 1980 + 3220 = 5200.

Answer:

the area is equal to 180cm

Step-by-step explanation:

Area = (heigh x base) / 2

Area = (18 x 20) / 2 = 180

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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The phasor form (in the rms sense) of the given expressions are:

a. 20∠(-180°) V

b. 6 x 10⁻⁶∠90° A

c. 3.6 x 10⁻⁶∠(-20°) A

a. The given expression is in the form of 20 sin (ωt - φ), where ω is the angular frequency and φ is the phase angle in degrees. To convert it to phasor form, we need to express it as a complex number in the form of Vrms∠θ, where Vrms is the root mean square (rms) value of the voltage and θ is the phase angle in radians. In this case, the rms value is 20 V and the phase angle is -180° (since it is given as -180° in the expression). The phasor form can be represented as 20∠(-180°) V.

b. The given expression is in the form of 6 x 10⁻⁶ cos(ωt), where ω is the angular frequency. To convert it to phasor form, we need to express it as a complex number in the form of Irms∠θ, where Irms is the rms value of the current and θ is the phase angle in radians. In this case, the rms value is 6 x 10^(-6) A and the phase angle is 90° (since it is cos(ωt)). The phasor form can be represented as 6 x 10⁻⁶∠90° A.

c. The given expression is in the form of 3.6 x 10⁻⁶ cos(ωt - φ), where ω is the angular frequency and φ is the phase angle in degrees. To convert it to phasor form, we need to express it as a complex number in the form of Irms∠θ, where Irms is the rms value of the current and θ is the phase angle in radians. In this case, the rms value is 3.6 x 10⁻⁶ A and the phase angle is -20° (since it is given as -20° in the expression). The phasor form can be represented as 3.6 x 10⁻⁶∠(-20°) A.

THEREFORE, the phasor form (in the rms sense) of the given expressions are:

a. 20∠(-180°) V

b. 6 x 10⁻⁶∠90° A

c. 3.6 x 10⁻⁶∠(-20°) A.

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Answer:

34

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Answer:

x=10 and x=-9

Step-by-step explanation:

Factor:

(x-10)(x+9)=0

x-10=0

x=10

and

x+9=0

x=-9

No, the compound event does not consist of two mutually exclusive events. Two dice are rolled and the sum of the dice can be either a 5 or an 11.

When two dice are rolled, there are a total of 36 possible outcomes. The probability of getting a sum of 5 is 4/36 or 1/9 because there are four ways to get a sum of 5 (1+4, 2+3, 3+2, 4+1). Similarly, the probability of getting a sum of 11 is 2/36 or 1/18 because there are only two ways to get a sum of 11 (5+6, 6+5).

The compound event of getting a sum of 5 or 11 is not mutually exclusive because it is possible to get a sum of 5 and 11 at the same time by rolling two dice that show a 2 and a 3. The probability of the compound event is the sum of the probabilities of the individual events:

1/9 + 1/18 = 3/18 + 1/18 = 4/18 = 2/9

Therefore, the probability of getting a sum of 5 or 11 when rolling two dice is 2/9.

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Answer: If an organization wants to test whether a minority of its employees are dissatisfied with their bonus, the alternative hypothesis would be that the true population proportion is greater than the null hypothesis proportion.

Specifically, the null hypothesis would be that the proportion of employees who are dissatisfied with their bonus is equal to or less than a certain value (usually 0.5 or 0.1, depending on the context). The alternative hypothesis would be that the proportion of employees who are dissatisfied with their bonus is greater than this value.

For example, if the null hypothesis is that 20% of employees are dissatisfied with their bonus, the alternative hypothesis would be that more than 20% of employees are dissatisfied with their bonus.

The alternative hypothesis is typically the hypothesis of interest, as it represents the hypothesis that the organization wants to investigate and potentially take action on.

Step-by-step explanation:

The alternative hypothesis would be that the true population proportion of dissatisfied employees regarding their bonus is greater than the assumed proportion.

The null hypothesis assumes that the proportion of dissatisfied employees regarding their bonus is equal to the assumed proportion. The alternative hypothesis, in contrast, assumes that the proportion of dissatisfied employees is greater than the assumed proportion. In this case, the organization wants to test whether a minority of its employees are dissatisfied with their bonus, which implies that the assumed proportion is less than 50%. Therefore, the alternative hypothesis states that the true population proportion of dissatisfied employees regarding their bonus is greater than the assumed proportion. By conducting hypothesis testing, the organization can determine whether the evidence supports the null hypothesis or the alternative hypothesis and make decisions accordingly.

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Answer:

\(0.0166\)

Step-by-step explanation:

Let the sample proportion be \(\hat{p}=0.14\) and the sample size be \(n=439\):

\(\displaystyle \text{Margin of Error}=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\text{Margin of Error}=\sqrt{\frac{0.14(1-0.14)}{439}}\\\\\text{Margin of Error}=\pm0.0166\)

a.)The 95% Confidence interval for the average difference between the reading and writing scores of all students is 0.545 ± 1.232.

b.) Since independent random samples are chosen from a population that is roughly typical

The number of degrees of freedom with an unknown standard deviation is n-2.

c.)The null hypothesis could not be rejected because the aforementioned interval contains zero. 

Using a confidence interval does not show conclusive proof that there is a genuine difference in the average results .

Therefore there is no real  difference in the average scores.

Z = X  +- 1.96 ( SD/ √n  )

= 0.545 ± 1.96 × 8.887

√2000.545 plus or minus 1.96 times 8.887 over the square root of 200

= 0.545 ± 1.232

Out of 100 samples, the population mean would range between -0.687 and 1.777 on average in 95 of them.

explanation for part b,

n = 7, CL = 90%

df= 7-2=5t*=1.476(one tail),

2.015(both tails)

n = 26, CL = 98%

df= 26-2=23t*=2.177(right tail),

2.5(both tail)

n = 28, CL = 95%

df=28-2=26t*=1.706(one tail),

2.056(both tail)

n = 11, CL = 99%

df= 11-2=9t*=2.821 (one tail),

3.250(both tail)

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The probability that the four houses selected for a free newspaper will all be even numbered houses is: 1/42.

Probability refers to the possibility of the occurrence of an event.

P(E) = probability of occurrence of an event E = Number of favorable outcomes, divided by total number of outcomes

Now, according to question,

There are 10 houses numbered 1-10. Thus the number of even numbered houses = 5 (2, 4, 6, 8, 10)

The probability that the first selected house for free newspapers is even numbered = 5/10 = 1/2

The probability that the second selected house for free newspapers is even numbered = 4/9

The probability that the third selected house for free newspapers is even numbered = 3/8

The probability that the fourth selected house for free newspapers is even numbered = 2/7

The final probability that the four houses selected for a free newspaper will all be even numbered houses is = 1/2(4/9)(3/8)(2/7) = 1/42

Hence, The probability that the four houses selected for a free newspaper will all be even numbered houses is: 1/42.

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Given expression is:

Take 3 common from it:

So the factor are:

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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What is the domain of the function on the graph?

All real numbers greater than or equal to –3​

Answer:

i think it is the last one

Step-by-step explanation:

I believe the answer is D, it would make the most sense because that one has the most unique property's that would apply to a unique quadrilateral

f(x)= 3x-1

g(x)= -2x + 5

The functions f and g are defined above. For which value of x does f(x)=g(x)

step 1

equate both equations

so

3x-1=-2x+5

solve for x

3x+2x=5+1

5x=6

the answer

155

324

5/9 (87/3(1/12)= 155/324

1.  Perimeter of AARG = 1.6 × 4.4 cm = 7.04 cm

2.  The measure of SBH is 162°.

3. Area of AARG = 2.56 × 0.8 cm² = 2.048 cm²

4. The length of the circumference of circle B is approximately 13.01 cm.

The circumference of a this double shape's perimeter is its total length. In other terms, it is the total length of all a shape's sides. For instance, the circumference of a circle is equal to the distance around its outside, or circumference, whereas the perimeter of a rectangle may be computed by combining the measurements of all four sides.

To solve this problem, we can use the fact that all circles are similar. This means that corresponding lengths of the circles are proportional. In particular, if the ratio of the radii of two circles is k, then the ratio of their circumferences is also k, and the ratio of their areas is k².

Let's start with finding the radius of the larger circle. Since OB/OA = 2.25, we can write:

OA + AB = OB

OA + 1 = 2.25 OA

OA = 1 / 1.25 = 0.8

Therefore, the radius of the larger circle is 0.8 cm. Since the circles are similar, the ratio of the radii is 0.8/0.5 = 1.6.

1. The perimeter of ABSH is proportional to the radius of the circle, so we have:

Perimeter of ABSH = 1.6 × Perimeter of AARG = 1.6 × 4.4 cm = 7.04 cm

2. Let x be the measure of SBH. Then we have:

RAG + SBH + HBS = 360°

108° + x + 90° = 360°

x = 162°

Therefore, the measure of SBH is 162°.

3. The area of ABSH is proportional to the square of the radius of the circle, so we have:

Area of ABSH = 1.6² × Area of AARG = 2.56 × 0.8 cm² = 2.048 cm²

4. The circumference of circle B is proportional to the radius of the circle, so we have:

Circumference of circle B = 1.6 × Circumference of circle A ≈ 1.6 × 8.13 cm ≈ 13.01 cm

Therefore, the length of the circumference of circle B is approximately 13.01 cm.

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Answer:

See below.

Step-by-step explanation:

The first thing to do is to put all the numbers in order.

\(7, 8, 9,10,12,13,14,15\)

First, let's find the mode.

The mode is where there is a repeating number in a set. If you look, there is no repeating number. Which means, there is no mode for this set.

Next, we find the median.

\((10 + 12) / 2 = 11\)

The median would be \(11\).

Then, we find the mean.

For the mean, you add up all the numbers and you will divide it by how many numbers there are.

\(7,8,9,10,12,13,14,15 = 88\)

\(88 / 8 = 11.\)

The mean is \(11\).

The inability to recall the original random letters in the Peterson and Peterson (1959) experiment was due in part to the decay of information in short-term memory (STM).

STM has a limited capacity and duration, which means that information can be lost over time if it is not rehearsed or refreshed.

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Set of ordered pairs does not represent a function i

= {(2, 2), (0, -8), (2, 7), (-3, 8)}

A function relates an input to an output.  A function is generally denoted by f(x) where x is the input.

What is a set?

Any collection of objects , which are mathematical or not

Ordered pair are a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

From question given data is

{(4, 6), (9, -2), (3, -5), (6, 6)}

{(−1,−2),(−4,9),(8,−9),(1,2)}

{(-1, 9), (-7, 8), (3, -1), (4, -1)}

{(2, 2), (0, -8), (2, 7), (-3, 8)}

From the above options we can see that last option has same number in the x axis coordinate. Thus it does not represents a function.

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