Can in text citations be shortened?

A person weighing 173 pounds can burn 10.7 calories per minute.

The given equation is ŷ=2.2+0.05x.

To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.

y = 2.2 + 0.05x

y = 2.2 + 0.05 × 173

y = 10.7

Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.

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"Your question is incomplete, probably the complete question/missing part is:"

By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x

Based on the information gathered by Thomas, select the statement that is true.

a) A person weighing 149 pounds can burn 9.8 calories per minute.

b) A person weighing 134 pounds can burn 8.9 calories per minute.

c) A person weighing 125 pounds can burn 8.3 calories per minute.

d) A person weighing 173 pounds can burn 10.7 calories per minute.

Answer:

A person weighing 134 pounds can burn 8.9 calories a minute.

Step-by-step explanation:

Answer:

C. 3/4

Step-by-step explanation:

count each small line. the dot is on the 3rd of 4

Answer:

3/4

Step-by-step explanation:

Count up to the dot. 1, 2, 3

And if you count the lines, it's 1, 2, 3, 4

You would get

3

__

4

Answer:

8 inches

Step-by-step explanation:

1 foot equal 12 inches

12/3=4

4*2=8

Answer:

50

Step-by-step explanation:

10 + (20x2) = 50

Answer:

2.25

Step-by-step explanation:

2b + 2b - 4=5

Add 2b + 2b

bring down the -4 and 5

4b - 4=5

4b= 5+4

Add 5 + 4=9

4÷4b=9÷4 -Divide n both side

cancel the 4 sense their the same and bring down the B

Divide 9 and 4

9÷ 4= 2.25

B=2.25

The mathematical formula used for congressional apportionment in the United States is the Method of Equal Proportions, represented by V = (P / √(n(n+1))).

The mathematical formula used for congressional apportionment in the United States is known as the Method of Equal Proportions. This formula is used to allocate the 435 seats in the House of Representatives among the 50 states based on population data from the decennial census.

The specific formula for apportionment is as follows:

V = (P / √(n(n+1)))

Where:

- V represents the priority value or priority score for each state

- P represents the state's population (using the most recent census data)

- n represents the number of seats already allocated

The apportionment process starts with an initial allocation of one seat to each state. Then, using the formula, the priority value is calculated for each state based on its population and the number of seats already allocated. The seat is then assigned to the state with the highest priority value, and the process continues iteratively until all 435 seats are allocated.

It's important to note that after each seat is allocated, the formula is recalculated with the updated number of seats already assigned to each state to determine the priority values for the remaining seats.

The Method of Equal Proportions is just one of the apportionment methods used in various countries. In the United States, it is the formula currently utilized for congressional apportionment, but it can be subject to debate and potential challenges due to its limitations and potential for small deviations from strict proportionality.

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Answer:

9 + 0.75x =12     x=4

Step-by-step explanation:

Answer:

Binomial probability online calculator gives P(\(\hat p\)>0.60) =0.1054

Step-by-step explanation:

Given that n = 111

p = 0.54

To find P(\(\hat p\)>0.60)

We have;

P(\(\hat p\)>0.60) = \(P \left (\dfrac{0.6 - p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}} > Z \right )\)

P(\(\hat p\)>0.60) = \(P \left (\dfrac{0.6 - 0.54}{\sqrt{\dfrac{0.54(1-0.54)}{111}}} > Z \right )\)

P(\(\hat p\)>0.60) = P(1.268 > Z) = 1 - 0.8962 = 0.1038

The above result was obtained from calculation

Binomial probability online calculator gives P(\(\hat p\)>0.60) =0.1054.

The distribution of values taken by a statistic in all possible samples of the same size from the same population is known as the sampling distribution of the statistic.

In other words, it refers to the distribution of a particular statistic, such as the sample mean or sample proportion, if we were to take all possible samples of a given size from a population.

The sampling distribution is an important concept in statistics because it allows us to make inferences about a population based on a sample.

By examining the sampling distribution of a statistic, we can determine the range of values that the statistic is likely to take and calculate the probability of observing a particular value or range of values.

This information can be used to make inferences about the population parameter from which the sample was drawn.

For example, suppose we want to estimate the mean income of all individuals in a particular city. We could take a random sample of individuals from the city and calculate the sample mean.

The sampling distribution of the sample mean would then give us information about the range of values that the true population mean is likely to take, as well as the probability of observing a particular sample mean.

This information could be used to construct confidence intervals or perform hypothesis tests to make inferences about the population mean.

In summary, the sampling distribution is a key concept in statistics that allows us to make inferences about a population based on a sample. It refers to the distribution of values taken by a statistic in all possible samples of the same size from the same population.

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The false statement is (a) A chi-square distribution with k degrees of freedom is more right-skewed than a chi-square distribution with k + 1 degrees of freedom.

In fact, as the degrees of freedom increase, the chi-square distribution becomes more symmetric and approaches a normal distribution.

The other statements are true: (b) A chi-square distribution never takes negative values, (c) The degrees of freedom for a chi-square test are determined by the number of categories being compared minus one, (d) P(X'>10) is greater when the degrees of freedom are k + 1 than when they are k, and (e) The area under a chi-square density curve is always equal to 1 and is determined by the sample size and degrees of freedom.

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Xavier's average speed is 1 kilometer per minute.

To calculate Xavier's average speed, we need to determine the total time it took him to reach Terminal B and the distance traveled.

Given that Henry had completed 3/4 of the journey when Xavier reached Terminal B, it means Xavier took 1/4 of the total time for the journey. Since Xavier reached Terminal B 30 minutes earlier than Henry, we can infer that Xavier took 30 minutes for his part of the journey.

Since Henry was 30 km away from Terminal B when Xavier reached it, we can assume that Xavier traveled the remaining 30 km to reach Terminal B.

Therefore, Xavier's average speed can be calculated as the distance divided by the time:

Average Speed = Distance / Time = 30 km / 30 minutes = 1 km/minute.

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The first table shows proportionality, The second does not have this

In the first there is a proportional relationship between x and y on the table.

That is y = 6 * x

when

48 = 6 * 8

60 = 6 * 10

72 = 6 * 12

On the other table the values are not proportional

12 = 6 * 2

28 = 7 * 4

64 = 8 * 8

The difference between the tables is that the first showed us a constant of proportionality 6 ,while the other does not have a constant of proportionality.

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The expected number of defective items and the probability of at least 4 are defective is equal to 3.6 and 0.370 or 37.0%.

Total number of items 'n' = 18

Probability of an item being defective 'p' =20%

                                                                    = 0.2  

Expected number of defective items,

Use the formula for the expected value of a binomial distribution,

E(X) = np

where X is the number of defective items.

Plug in the values we have,

E(X) = 18 x 0.2

      = 3.6

Expect average items out of 18 to be defective = 3.6  .

Probability that at least 4 items are defective,

Calculate the probability of 4, 5, 6, ..., 18 defective items

Use the complement rule to simplify it,

P(at least 4 defective)

= 1 - P(less than 4 defective)

Using the CDF function,

'binomcdf' is the binomial cumulative distribution function.

18 is the number of trials,

0.2 is the probability of success,

And 3 is the maximum number of successes

P(less than 4 defective)

= binomcdf (18, 0.2, 3)

= P(X <= 3)

=\(\sum_{x=0}^{3}\) ¹⁸Cₓ × (0.2)^x × (0.8)^(18-x)

= ¹⁸C₀× (0.2)^0 × (0.8)^(18-0) + ¹⁸C₁× (0.2)^1 × (0.8)^(18-1) + ¹⁸C₂× (0.2)^2 × (0.8)^(18-2) + ¹⁸C₃× (0.2)^3 × (0.8)^(18-3)

= (0.8)^(18) + 18× (0.2) × (0.8)^(17) + 153 × (0.04) × (0.8)^(16) + 1632× (0.008) × (0.8)^(15)

= 0.630

Plug in the values,

P(at least 4 defective)

= 1 - 0.630

= 0.370

Therefore, the expected items to be defective and probability that at least 4 items out of 18 are defective is equal to 3.6 and 0.370 or 37.0%.

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The expression giving the enrollment t years from now can be found by integrating P'(t) with respect to t.

Given that P'(t) = 2000(15t + 1)^(3/2) represents the rate at which the student enrollment is growing per year, we can find the expression for the enrollment t years from now by integrating P'(t) with respect to t. The integration of P'(t) will yield the original function P(t) that represents the student enrollment at a given time. Integrating 2000(15t + 1)^(3/2) with respect to t will result in the expression for the enrollment t years from now. It is important to note that the initial condition, P(0) = 1200, should be taken into account when integrating to find the constant of integration. Thus, by integrating P'(t) and considering the initial condition, we can determine the expression for the enrollment t years from now.

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Answer:

Step-by-step explanation:

x + 28 + 39 = 180

x + 67 = 180

x = 113

y + 113= 180

y = 67

z + 67 + 64 = 180

z + 131 = 180

z = 49

Using proportions, it is found that his forgetfulness cost him $0.108.

--------------

\(T = 1.2 \times 0.09 = 0.108\)

His forgetfulness cost him $0.108.

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The coordinates are simple. Hope you understand this and you can draw it out.

Answer:

0

Step-by-step explanation:

It is essential that you use parentheses to eliminate ambiguity here.

I will make the assumption that you meant  7-(5/6)*7-7/6.  This simplifies to

7 - 35/6 - 7/6, or

42     35      7

---- - ----- - ------ = 0

 6      6        6

Answer:

19,365 is the answer

Step-by-step explanation:

If you have more questions just ask.

The quadratic function for this problem is given as follows:

G. y = -0.4(x + 5)(x - 2).

The roots of the quadratic function are given as follows:

Hence the linear factors of the function are given as follows:

Considering the factor theorem, the function is given by the product of it's linear factors and the leading coefficient a, hence:

f(x) = a(x + 5)(x - 2)

When x = 0, y = 4, hence the leading coefficient a is given as follows:

-10a = 4

a = -4/10

a = -0.4.

Hence the function is:

y = -0.4(x + 5)(x - 2).

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Answer:

about 65 days

Step-by-step explanation:

46/30 = 1.53 pounds per day

100/1.53 = about 65

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (4, 1 )

with k = 1

a. (~P) v Q

b. (~P v Q) → (Q ^ ~R)

c. ((~P v Q) v (R ^ ~R))

d. (~(~Sam v ~Man) ^ ~(Chris v Woman) ^ ~(~Chris v ~Woman))

Negation is a logical operator that is used to form the negation of a statement by reversing the truth value of the statement. Thus, when simplifying a statement, the negation should be placed right before the variables or statements in the statement to form the negated statement. This is done to clearly express the logical relationship between the variables and the negation.

a. ¬P ∨ Q

b. ¬(P ∨ Q) ∨ (Q ∧ R)

c. (¬P ∨ Q) ∨ (¬R ∧ R)

d. ¬(¬Sam ∧ ¬Chris) ∨ (¬Chris ∧ ¬Woman)

For example, in statement a, the negation of the statement is expressed as ¬P ∨ Q, where the negation is placed right before the variable P. Similarly, in statement b, the negation of the statement is expressed as ¬(P ∨ Q) ∨ (Q ∧ R), where the negation is placed right before the statement (P ∨ Q).

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Wireshark is the tool used to capture data packets over time, either continuously or overnight.

Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.

With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.

Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.

Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.

Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.

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Answer:

C. f(-3) = g(-3)

Step-by-step explanation:

Let's look at each option to which one is true with regard to the given functions on the graph.

The option that is correct is the option that shows where the graph of f(x) and g(x) intercepts or cut across each other.

Now, take a look at the graph, the line of both functions intercepts at x = -3. At this point, the value of f(-3) and g(-3) is equal to -4.

Therefore: f(-3) = g(-3)

The value of x is 8.37

What is the area of the shaded region?

The area of the shaded area is the difference between the total area of the polygon and the area of the portion of the polygon that is not shaded. In polygons, the area of the shaded component might appear in two different ways. A polygon's sides or its center are both potential locations for the shaded area.

Here, we have

Given: The area of the shaded region is 20cm².

we have to find the value of x.

x in this case is the radius. In fact, both the height and base are the radius.

To find the radius, we need to form an equation. The only info given is with the area of the shaded area which is 20cm².

The area of the sector - an area of the triangle = the shaded area.

Area of the sector = πr²/4

Area of triangle = (1/2)bh

Area of the triangle = x²/2

The area of the triangle is in that way, as the height and base are x ( and x is the radius here!)

=  πr²/4 - x²/2

Multiply 4 with the whole equation as it is the LCM.

= 4(πr²/4 - x²/2) = 80

= πx² - 2x² = 80

= 1.142x² = 80

x² = 70.1

x = 8.37

Hence, the value of x is 8.37

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The side length of the cube is approximately 12.84 inches.

What is cube?

A cube is a nathree-dimensiol geometric shape that has six square faces of equal size, 12 edges of equal length, and eight vertices where the edges meet. The cube is a regular polyhedron, which means that all of its faces are congruent (identical) squares and all of its angles are right angles (90 degrees). The cube is often used in mathematics and geometry to illustrate concepts such as volume, surface area, and spatial relationships. It is also a common shape in architecture and design, where it can be used to create buildings, furniture, and other objects.

To solve for the side length of a cube with a volume of 1833 in³, we can use the equation V = s³, where V is the volume and s is the measure of one side of the cube.

To solve for s, we can rearrange the equation to isolate s:

s = V^(1/3)

Substituting the given value for V, we get:

s = 1833^(1/3)

Using a calculator or estimation, we can find that the cube root of 1833 is approximately 12.84. Therefore, the side length of the cube is approximately 12.84 inches.

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Answer:

A. y = cos x

Step-by-step explanation:

The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.

Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.

Step-by-step explanation:

Answer:

Yes the triangles are congruent

Step-by-step explanation:

since

AB=CD

AD=CB

and BD= BD (common sides)

Therefore

the two triangles are congruent