the mean weekly usage in our sample is 25.3 hours per week. the expected expense of a machine being used 25.3 hours per week is $ 2966.19 incorrect: your answer is incorrect. hundred. since this expected expense is greater correct: your answer is correct. than the cost of the maintenance contract, the maintenance contract is correct: your answer is correct. advisable.

\((-12x^3 yz)(-4x^3yz^4)\\\\=48x^6y^2 z^5\)

Answer:

\( - 12{x}^{3} yz \times ( - 4 {x}^{3} y {z}^{4} )\)

\(48 {x}^{6} {y}^{2} {z}^{5} \)

Step-by-step explanation:

\( \frak{answered \: by....... \fbox{iuynsm}}\)

The percent error is -21.0%.

Percent errors show the magnitude of our measurement mistakes throughout an analytical procedure. We are getting close to the acceptable or original value when the % mistakes are less. A 1% mistake, for instance, shows that we were extremely near to the approved number, but a 48% error shows that we were fairly far from the genuine value.

To find the percent error, you can use the following formula:

percent error = (estimate - actual) / actual * 100

Plugging in the values given in the problem, we get:

percent error = (56 - 71) / 71 * 100 = -15 / 71 * 100 = -0.21 * 100 = -21%

Rounded to the nearest tenth, the percent error is -21.0%.

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The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.

This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.

The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.

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I ran out of time and it erased my work. Sorry.

By using the concept of testing of hypothesis, it can be calculated that

The required test statistic is t = 0.918

What is testing of hypothesis?

Suppose, there is a hypothesis and there is a data at hand. Testing of hypothesis is a method of inferencing which is used to decide whether the given hypothesis is true or not based on the statistical data given

From the table attached here, it can be calculated that

\(\bar{x}_{2012}=365.4667\\s^{2}_{2012}=27133.66364\\\bar{x}_{2013}=331.775\\s^{2}_{2013}=29750.53782\\n_{2012}=45\\n_{2013}=40\\\)

So the test statistic t is

\(\large t=\frac{\bar{x}_{2012}-\bar{x}_{2013}}{\sqrt{\frac{s^{2}_{2012}}{n_{2012}}+\frac{s^{2}_{2013}}{n_{2013}}}}\)

\(t=\frac{365.4667-331.775}{\sqrt{\frac{27133.66364}{45}+\frac{29750.53782}{40}}}\)

\(t \large =\frac{33.6917}{36.6978711}\)

t = 0.918

The value of the test statistic is 0.918

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There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

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The probability that the sample proportion will be between 0.9115 and 0.946 from an infinite population with a known population proportion of 0.85 is required.

The given problem can be solved by using the Central Limit Theorem (CLT) for a sample proportion. Since the sample size is large (n = 51) and the population is infinite, we can assume that the distribution of the sample proportion is approximately normal.

The mean of the sample proportion is equal to the population proportion, which is 0.85. The standard deviation of the sample proportion is calculated using the formula:

σp = sqrt[p(1-p)/n] = sqrt[(0.85)(0.15)/51] = 0.0707

To find the probability that the sample proportion falls between 0.9115 and 0.946, we need to standardize the sample proportion using the formula:

z = (p - μp)/σp

Where μp is the mean of the sample proportion and σp is the standard deviation of the sample proportion.

z1 = (0.9115 - 0.85)/0.0707 = 0.88

z2 = (0.946 - 0.85)/0.0707 = 1.35

We can use a standard normal distribution table or a calculator to find the probability that the sample proportion falls between these two z-scores.

P(0.88 < z < 1.35) = P(z < 1.35) - P(z < 0.88) = 0.9115

Therefore, the probability that the sample proportion will be between 0.9115 and 0.946 is 0.9115

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Answer:

wwwwwwwwwwwwwww

Step-by-step explanation:

15 ws

Mikaela's average speed for the entire race is (5 + 20) / (0.5 + 0.8) = 15 kilometers per hour.

Mikaela can bike 25 kilometers in 1 hour. This is because she biked 20 kilometers in 0.8 hours, which can be converted to 25 kilometers in 1 hour (20 kilometers / 0.8 hours = 25 kilometers / 1 hour).

Answer:

15.25

Step-by-step explanation:

Answer:

First  you would have  to find the unit  price for the dog food so you would do 10.50 ÷ 3 to get 3.5, so for one bag it costs $3.50, next you would multiply 3.50 by 5 to get 17.5, so your answer would be $17.50

The area is 3560 square inches

The formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that the parameters are;

Using the sine rule, we have that;

sin 63/r = sin 92/89

cross multiply the values, we have that;

r = 79. 29/0. 99

Divide the values, we have;

r = 80 inches

Then, we have;

Area = 1/2 ×80 × 89

Area = 3560 square inches

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Identical at both ends, a prism is a three-dimensional solid object 145.0625 in2.

the outer face, outside, or exterior limit of a thing; topmost or uppermost layer or area. the six surfaces of a cube; any face of a body or entity.

Surface area; the size or area of the outside of the face. the outside, especially in contrast to the inside nature: to investigate something more deeply. surface, a group of points arranged in two dimensions (flat surface), a group of points arranged in three dimensions (curved surface), or the perimeter of any three-dimensional object.

In general, a surface is a continuous barrier that separates two areas of a three-dimensional space.

There are small cracks all over the surface of the picture. There are tiny cracks all over the surface of the picture. The surface of the bowl is gleaming.

145.0625 in2

180.625 in2

264.625 in2

290.125 in2

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The graphs cross at x=-1 and x=1. Those are the solutions to to the equation

We know that, If two functions are equal then there solution is the intersection point of the curves.

When we determine the graph the intersection points are (0,2) and (1,1.25).

The values of x of the intersection points are the solutions of the system

Using a graphing tool, there are two intersection points and therefore the solutions are x = -1 and x [ 1.

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Answer:

3

Step-by-step explanation:

So we have the function:

\(f(x)=3x^2+2x-5\)

To evaluate the value of f(-2), substitute -2 for x. Thus:

\(f(-2)=3(-2)^2+2(-2)-5\)

Square first:

\(f(-2)=3(4)+2(-2)-5\)

Multiply:

\(f(-2)=12-4-5\)

Now, subtract:

\(f(-2)=8-5=3\)

So:

\(f(-2)=3\)

And we're done!

Answer:

I think $ 649.35 cents

Step-by-step explanation:

65% off means the sale price is 35% of the regular price.  

35% of something is 0.35 times the something.

Answer:

The simplified expression to represent the scenario is Y = 4·X - 0.48·X

Step-by-step explanation:

The given parameters are;

The number of tickets required = 4

The amount of discount offered = 12%

Let the selling price = X

Therefore the amount paid for each ticket = X - X×12 %

Which gives;

The amount paid for each ticket = X - X×0.12

The amount paid for the four tickets = 4 × (X - X×0.12) = 4·X - 4×0.12·X =  4·X - 0.48·X

Whereby the amount paid for the four tickets = Y, we have;

Y = 4·X - 0.48·X

Which gives, the simplified expression to represent the scenario as Y = 4·X - 0.48·X.

The four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25.

To find the four adjacent square numbers with a diagonal sum of 161, we can start by considering the square numbers. Let's call the four numbers x^2, (x+1)^2, (x+2)^2, and (x+3)^2. The diagonal sum can be expressed as: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 161. Simplifying the equation: x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) + (x^2 + 6x + 9) = 161; 4x^2 + 12x + 14 = 161; 4x^2 + 12x - 147 = 0. Using the quadratic formula, we can solve for x: x = (-12 ± √(12^2 - 44(-147))) / (2*4); x = (-12 ± √(144 + 2352)) / 8; x = (-12 ± √2496) / 8

x = (-12 ± 49.96) / 8.  Solving for x, we have two possible solutions: x = 4 or x ≈ -9.496. Since we are looking for positive square numbers, we can discard the negative solution. Therefore, the four adjacent square numbers with a diagonal sum of 161 are 4^2, 5^2, 6^2, and 7^2, which are 16, 25, 36, and 49.

To find the four adjacent square numbers with a diagonal sum of 45, we can follow the same approach. The equation would be: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 45. Simplifying this equation and solving for x, we find that x = 2. Therefore, the four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25. To find three adjacent vertical numbers that add up to 156, we need more information about the arrangement of the numbers. Please provide additional details or context about the arrangement of the numbers so that we can solve the problem accurately.

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Answer:

Below.

Step-by-step explanation:

Step 1:  it is  5  x 10^-6 not 5 x 10^-5.

Step 5 : the result of the addition is 170 x 10^-4 not 170 x 10^-8.

Answer: yes that is correct explanation:

Answer:

k = 3 and k = 1

Step-by-step explanation:

Given that the relationship is proportional then the equation relating the quantities is

y = kx ← k is the constant of proportion

To find k divide both sides by x , then

k = \(\frac{y}{x}\)

For graph a use the point (2, 6 ), then

k = \(\frac{6}{2}\) = 3

For graph b use the point (4, 4 ), then

k = \(\frac{4}{4}\) = 1

Therefore, because of this, the average length of the 12 fingers is 116.8/12, or 9.73 cm to 2 DP.

Aside from the mode and median, the mean is one of the measures of central tendency used in statistics. The average of the specified collection of numbers is what is referred to as mean. The three most popular methods for determining central tendency are the mean, median, and mode.

Here,

Given: The average finger length of seven youngsters is 11.

The average  measures 15 8 cm.

The total lengths involved are

7*9.4 + 5*10.2,

which comes to 116.8 cm.

The average length of the 12 fingers is therefore 116.8/12, or 9.73 cm to 2 DP.

Therefore, because of this, the average length of the 12 fingers is 116.8/12, or 9.73 cm to 2 DP.

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In solving the given question, we can say that ∠ZEFI and ∠ZJIK are equal parallel lines  by  co-exterior angles property.

Geometry parallel lines are coplanar infinite lines that do not intersect anywhere. In a given three-dimensional space, parallel faces are faces that never intersect. Curves with a constant minimum distance between them and no tangents or intersections are said to be parallel. Two lines that lie in the same plane, are equally spaced, and never intersect are called parallel lines in geometry. Can be applied horizontally or vertically. Parallel lines are found in everyday objects such as railroad tracks, rows of books, and crosswalks.  

∠ZHIK and ∠ZEFI are equal by alternative angles property.

∠ZGFD and ∠ZEFD are equal by co-interior angles property.

∠ZGFD and ∠ZEFI are equal by interior alt. angles property.

∠ZEFI and ∠ZJIK are equal by  co-exterior angles property.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Slack represents the buffer or flexibility available in the project schedule, allowing for adjustments and potential delays without affecting the project's critical path.

In project network analysis, slack refers to the difference between the latest start and earliest start times of an activity. It represents the amount of time that an activity can be delayed without affecting the overall project duration.

The latest start time (LS) is the latest point in time an activity can start without delaying the project completion. It is determined by considering the dependencies and constraints of the project schedule. The earliest start time (ES) is the earliest possible point in time an activity can start based on its dependencies and the project schedule.

By subtracting the earliest start time from the latest start time, we calculate the slack or float of an activity. If an activity has positive slack, it means there is flexibility in its start time, and it can be delayed without impacting the project's critical path or completion date. On the other hand, if the slack is zero or negative, it indicates that any delay in the activity will affect the project's overall duration, making it critical.

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Answer: x=24

Step-by-step explanation:

When you get this type of problem you do the opposite of the equation

so for this one you 4x6=24 because it x divided by 4 so we times.

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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The phone's usage patterns, network coverage, and background apps can also affect its battery life, so it is important to keep these in mind as well.

Based on the information provided in part (d), we can see that the iPhone 12 Pro Max has a larger battery capacity than the iPhone SE (2020), which should theoretically give it a longer battery life. However, the battery life of a phone also depends on other factors such as the screen size, processor efficiency, and overall power consumption of the device.

Unfortunately, we do not have specific information about the battery life of these phones, so we cannot definitively say which one is better for someone looking for a phone with a battery life between 18 and 22 hours. It is possible that both phones could meet this requirement, but it ultimately depends on how the user utilizes their phone.

In general, it is recommended to check the battery life specifications and reviews of a phone before making a purchase decision, as this can help provide a better understanding of its battery performance. Additionally, factors such as the phone's usage patterns, network coverage, and background apps can also affect its battery life, so it is important to keep these in mind as well.

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Answer:

a(85) = -1033

Step-by-step explanation:

Explicit Arithmetic Sequence:

an = a1 + d(n-1)

d = -12 (by -37 + 25)

a(85) = -25 + -12(85-1)

a(85) = -1033

Step-by-step explanation:

The linear function has a slope of a line equal to 2

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. In a given linear function, the slope is the ratio between the y-axis and x-axis

The formula is given as

m = y₂ - y₁ / x₂ - x₁

Taking any two points;

m = 12 - 8 / 6 - 4

m = 4 / 2

m = 2

The slope is 2.

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n should be a whole number, we round up to the nearest integer, giving n = 540. Therefore, if Russel wants 0.99 certainty, n should be at least 540.

To determine how large n should be in order to have a certain level of certainty about the true probability p, we can use the concept of confidence intervals.

For a binomial distribution, the estimate of the probability p is X/n, where X is the number of successes (in this case, the number of times tails is obtained) and n is the number of trials (the number of times the coin is flipped).

To find the confidence interval, we need to consider the standard error of the estimate. For a binomial distribution, the standard error is given by:

SE = sqrt(p(1-p)/n)

Since p is unknown, we can use a conservative estimate by assuming p = 0.5, which gives us the maximum standard error. So, SE = sqrt(0.5(1-0.5)/n) = sqrt(0.25/n) = 0.5/sqrt(n).

To ensure that the true p is within 0.1 of the estimate X/n with at least 0.95 certainty, we can set up the following inequality:

|p - X/n| ≤ 0.1

This inequality represents the desired margin of error. Rearranging the inequality, we have:

-0.1 ≤ p - X/n ≤ 0.1

Since p is unknown, we can replace it with X/n to get:

-0.1 ≤ X/n - X/n ≤ 0.1

Simplifying, we have:

-0.1 ≤ 0 ≤ 0.1

Since 0 is within the range [-0.1, 0.1], we can say that the estimate X/n with a margin of error of 0.1 includes the true probability p with at least 0.95 certainty.

To find the value of n, we can set the margin of error equal to the standard error and solve for n:

0.1 = 0.5/sqrt(n)

Squaring both sides and rearranging, we get:

n = (0.5/0.1)^2 = 25

Therefore, n should be at least 25 to know with at least 0.95 certainty that the true p is within 0.1 of the estimate X/n.

If Russel wants 0.99 certainty, we need to find the value of n such that the margin of error is within 0.1:

0.1 = 2.33/sqrt(n)

Squaring both sides and rearranging, we get:

n = (2.33/0.1)^2 = 539.99

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