frank's two most accurate measurements were at 3 minutes with 45 jumping jacks, and 8 minutes with 21 jumping jacks. use these two data points to determine the equation for the line of best fit for frank's experiment. round decimals to the nearest tenth

(E) "the withholding of physical affection from young children interferes"

The mistake here is in the punctuation. The subject ("young...affection") and its verb are needlessly separated by a comma ("interferes"). Furthermore, the sentence's structure is complicated. Only E fixes these mistakes without introducing any new ones.

There is improper punctuation in Option (A). The subject ("young...affection") and its verb are needlessly separated by a comma ("interferes"). Uncertain pronoun references are present in Option (B). It's unclear to what the pronoun "it" refers.  

The incorrect usage of a definite article is in Option (C). The words "the failure" implies that the failure has already been discussed, yet this is false. Choice (D) uses inappropriate wording. "Withholding" is a verb without a subject.

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The number 5 will be placed in the middle.

In order to make the sums across and down equal, we have to arrange the numbers in such a way that they balance each other out. We know that the middle number will be the average of the four numbers surrounding it.

So, if we place 2 and 8 on either side of the middle number, the sum of these two numbers is 10. To make the sum equal, we need two more numbers that add up to 10. The only two numbers that fit the criteria are 4 and 6.

Hence, the middle number will be the average of 4 and 6, which is 5. So, the answer is 5.

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--The given question is incomplete; the complete question is

"Place the numbers 2, 4, 5, 6, and 8 in the circles so that the sums across (horizontally) and down (vertically) are equal. Which number will you place in the middle?"--

Answer:

Step-by-step explanation:

Solve:

-6n+5<11

-6n<6 (carry over the 5 by subtracting)

n>-1  (put "n" alone divide by -6, because dividing by a negative flip the symbol)

**Don't forget to carry the Negative Symbol on -6n

So, "A" is the answer

Test:

put in point

0>-1 ✔

or ....

-6n+5<11

-6(0)+5<11

5<11✔

So we know the line arrow goes in the positive direction

Answer:

10521₈

Step-by-step explanation:

First convert the number from base-7 (septenary) to base-10 (decimal):

\(\begin{aligned}15632_7 & = (1 \times 7^4)+(5 \times 7^3)+(6 \times 7^2)+(3 \times 7^1)+(2\times 7^0)\\& = 2401+1715+294+21+2\\& = 4433_{10}\end{aligned}\)

Now convert it from base-10 (decimal) to base-8 (octal).

Divide 4433 by 8 repeatedly until you arrive at a quotient less than 8.

\(\implies \rm 4433 \div 8 = 554\; r\; 1\)

\(\implies \rm 554 \div 8 = 69\; r\; 2\)

\(\implies \rm 69 \div 8 = 8\; r\; 5\)

\(\implies \rm 8\div 8 = 1\; r \;0\)

Arrange the final quotient and the remainders of all the divisions in the bottom-to-top direction:

Answer:

108.84

Step-by-step explanation:

7.68*2=15.36 miles every day for work

15.36*4=61.44 miles on the 4 work days

15.8*3=47.4 miles on the other 3 days

61.44+47.4=108.84 miles a week

Answer:

x = 5/2, -3

or

x = 2.5, -3

or

2 1/2, -3

Step-by-step explanation:

Brainliest Please!!

- Hermionia

Answer:

x=-3, 5/2

Step-by-step explanation:

Set each parentheses equal to zero.

1. 2x-5=0

add 5 to both sides

2x=5

Divide by 2

x=5/2

2. (x+3)=0

subtract 3 from both sides

x=-3

Hi there! Hope this helps, and if it does, please mark brainliest!

Answer:

346

Step-by-step explanation:

6z2+2z+10

(6 x 3)^2 + 2 x 3 + 10

18^2 + 12 + 10

324 + 22

346

Answer:

The slope is (1/5)

Step-by-step explanation:

See attached

To solve the equation in part a and determine the mystery weight, we used the following properties of equality:

Addition property: This property states that if we add the same number to both sides of an equation, the equality is preserved. In this case, we added 23 grams to both sides of the equation to isolate the variable.

Subtraction property: This property states that if we subtract the same number from both sides of an equation, the equality is preserved. In this case, we subtracted 8 grams from both sides of the equation to isolate the variable.

Multiplication property: This property states that if we multiply both sides of an equation by the same number, the equality is preserved. In this case, we multiplied both sides of the equation by 3 to isolate the variable.

Division property: This property states that if we divide both sides of an equation by the same number (excluding 0), the equality is preserved. In this case, we divided both sides of the equation by 2 to isolate the variable.

By using these properties of equality, we were able to manipulate the equation and isolate the variable to determine the mystery weight.

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The transient performance specifications of a system are often defined in terms of the damping ratio (ζ) and the natural frequency (wn). In this case, ζ is given as 0.5 and wn is given as 3 rad/s.

For a second-order system, the complex poles are given by: s = -ζwn ± jwn√(1-ζ^2). Using the given values, we can substitute ζ = 0.5 and wn = 3 rad/s into the equation: s = -0.53 ± j3√(1-0.5^2).  Simplifying the equation further: s = -1.5 ± j*2.598.

Therefore, the location of the closed-loop complex dominant poles for the system is at -1.5 ± j*2.598.

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The area of the region outside r=5sinθ and inside r=15sinθ is 50π square units.

The area of the region outside r=5sinθ and inside r=15sinθ, we need to evaluate the integral of the area element dA over the region of interest. The area element in polar coordinates is given by dA = r dr dθ.

The region of interest is the annular region between the two circles, which is defined by the inequalities:

5sinθ ≤ r ≤ 15sinθ

0 ≤ θ ≤ π

Thus, the area of the region is given by:

A = \(\int\int dA = \int_0^\pi \int_5sin\theta^{(15sin\theta)} r dr d\theta\)

Using the limits of integration, we can rewrite the integral as:

A = \(\int_0^\pi [1/2 (15sin\theta)^2 - 1/2 (5sin\theta)^2] d\theta\)

Simplifying the integrand, we get:

A = \(1/2 \int_0^\pi (225sin^2\theta - 25sin^2\theta) d\theta\)

A = \(1/2 \int_0^\pi 200sin^2\theta d\theta\)

Using the identity sin²θ = 1/2 - 1/2cos2θ, we get:

A =\(1/2 \int_0^\pi 100 - 100cos2\theta d\theta\)

Integrating, we get:

A = 1/2 [100θ - 50sin2θ] from 0 to π

A = 1/2 [100π - 0] - 1/2 [0 - 0]

A = 50π

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The area of the region outside the polar curve r = 5sinθ and inside the polar curve r = 15sinθ is 50π square units.

To calculate the area between two polar curves, we integrate the outer curve and subtract the integral of the inner curve over the desired interval. In this case, the curves are r = 5sinθ and r = 15sinθ, and we want to find the area from θ = 0 to θ = π.

The equation r = 5sinθ represents the inner curve, and r = 15sinθ represents the outer curve.

Using the formula for the area between two polar curves, the area A can be calculated as follows:

A = (1/2) ∫[θ1,θ2] (r_outer^2 - r_inner^2) dθ

Substituting the given equations, we have:

A = (1/2) ∫[0,π] ((15sinθ)^2 - (5sinθ)^2) dθ

Simplifying the equation further:

A = (1/2) ∫[0,π] (225sin^2θ - 25sin^2θ) dθ

A = (1/2) ∫[0,π] 200sin^2θ dθ

Integrating this equation over the given interval, we get:

A = (1/2) * 200 * ∫[0,π] sin^2θ dθ

Using the identity ∫ sin^2θ dθ = (1/2) * (θ - sinθcosθ), we have:

A = (1/2) * 200 * [(π - sinπcosπ) - (0 - sin0cos0)]

A = (1/2) * 200 * [(π - 0) - (0 - 0)]

A = (1/2) * 200 * π

A = 100π

Finally, we subtract the area enclosed by the inner curve r = 5sinθ to get the area between the curves:

A = 100π - (1/2) * 5^2 * π

A = 100π - 25π

A = 75π

Therefore, the area of the region outside r = 5sinθ but inside r = 15sinθ is 50π square units.

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Answer:

y=-7x-2

Step-by-step explanation:

I assume you need the equation for the line, so that's what I'm solving for here.

1. Start by putting the slope and the coordinates into point slope form, which is y-y1=m(x-x1)

y+30=-7(x-4)

2. Distribute -7 to (x-4) (or multiply x and -4 by -7).

y+30=-7x+28

3. Subtract 30 from both sides to get y by itself.

y=-7x-2

The set of coordinates after the reflection is (c) M' = (-3, -4) N' = (2, -3) O' = (1, -1) P' = (-2, -2)

The graph represents the given parameter

On the graph, we have the following coordinate points

M = (-3, 4)

N = (2, 3)

O = (1, 1)

P = (-2, 2)

The rule of the reflection is given as:

Reflection across the x-axis

Mathematically, this is represented as

(x, y) ⇒ (x, -y)

When this is applied to the points, we have the following representation

M' = (-3, -4)

N' = (2, -3)

O' = (1, -1)

P' = (-2, -2)

Hence, the set of coordinates is (c)

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Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

Answer:

y = 2/7x  

Step-by-step explanation:

A property of the exponential distribution is that the mean equals the standard deviation.

The exponential distribution is a probability distribution that models the time between successive events in a Poisson process, where events occur continuously and independently at a constant rate.

The probability density function of the exponential distribution is given by:

f(x) = λe⁻ˣ, for x ≥ 0

where λ is the rate parameter, which represents the average number of events per unit time.

The mean of the exponential distribution is given by:

μ = 1/λ

The variance of the exponential distribution is given by:

σ² = 1/λ²

The standard deviation of the exponential distribution is the square root of the variance:

σ = 1/λ

Therefore, we can see that the mean and standard deviation of the exponential distribution are equal:

μ = σ = 1/λ

This property is a consequence of the fact that the exponential distribution is a memoryless distribution, which means that the probability of an event occurring within a certain time interval does not depend on how much time has already elapsed. This property also makes the exponential distribution useful in modeling waiting times and failure times.

Hence, A property of the exponential distribution is that the mean equals the standard deviation.

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A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

Indifference curves cannot be concave to the origin because they violate the assumption of diminishing marginal rate of substitution (MRS).

Indifference curves represent the different combinations of two goods that yield the same level of satisfaction for an individual. The slope of an indifference curve represents the marginal rate of substitution (MRS), which is the rate at which the individual is willing to trade one good for another while remaining equally satisfied.

If indifference curves were concave to the origin, it would imply that the MRS is increasing as the individual consumes more of both goods. Mathematically, this would mean that the absolute value of the slope of the indifference curve is increasing. However, this contradicts the assumption of diminishing marginal rate of substitution, which states that as an individual consumes more of one good, they are willing to trade less of it for an additional unit of the other good.

To illustrate this, let's consider two goods, X and Y, and assume the individual has a diminishing MRS. Suppose the slope of the indifference curve at a particular point is given by the absolute value of the change in quantity of Y divided by the change in quantity of X (∆Y/∆X). If the indifference curve were concave to the origin, as we move along the curve from left to right, the slope would increase. However, the assumption of diminishing MRS suggests that as we consume more of both goods, the slope should decrease.

In summary, indifference curves cannot be concave to the origin because it would violate the assumption of diminishing marginal rate of substitution. The concavity of indifference curves is inconsistent with the notion that individuals generally exhibit a decreasing willingness to trade one good for another as they consume more of both goods.

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To translate something:

  ⇒ is to write out the equations

Let's examine what information this problem gives us:

            ⇒ with '2' being the number of adults tickets

                ⇒total charge from purchasing adult tickets = 2 * 62.5 = 125

            ⇒ with 'x' being the number of child tickets bought

                 ⇒total charge from purchasing child tickets = 42.5x

Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:

   ⇒ 42.5x + 125 = 400 <== translated form

Let's solve:

   \(42.5x+125=400\\42.5x=275\\x=6.47\)

Since we can only buy whole tickets:

Mrs. Albert could have bought at most 6 child tickets

Answer: Mrs. Albert can bring 6 kids

Hope that helps!

The length of the crossbar that Sasha needs to complete the kite is 5.66 inches.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given crossbar is making a right angle triangle with two  4 inches sides.

Suppose the length of the crossbar is x.

By Pythagoras' theorem,

x = √(4² + 4²) = 5.66 inches.

Hence "The length of the crossbar that Sasha needs to complete the kite is 5.66 inches".

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The missing triangle has been attached below,

Answer:

11. 736080 cars //   12. 5397920 cars

Step-by-step explanation:

given total number of cars produced : 6,134,000

100% -->6,134,000

1%--> 6,134,000 /100

1% --> 61340

given big cars of America is 12%

so to find this 12% = 12 * 61340 = 736080 cars produced by America

by other manufactures =  total cars - big cars of America

                                       = 6,134,000 - 7,36,080

                                       = 5397920 cars

The linear equation on the given graph can be written as:

y = (-1/4)*x - 6

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the line intercepts the y-axis at y = -6, then the value of b is -6, so we can write:

y = a*x - 6

To find the value of the slope we can use another point on the graph, we can see that the line passes through (-8, -4)

Replacing these values we get:

-4 = a*-8 - 6

-4 + 6 = -8a

2/-8 = a

-1/4 = a

The linear equation is:

y = (-1/4)*x - 6

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Answer:

g=10

Step-by-step explanation:

\(\frac{7}{g} =\frac{35}{50}\\\)

We can cross multiply so that would be:

\(35g=50*7 \\35g=350 \\g=10\)

Hope this helps and answers your question! Have a great day/night!

Answer:

g=10

Step-by-step explanation:

The correlation between average 2007 price and number of 2007 is 0.207

To compute the correlation between the average 2007 price and the number of 2007 wins for the 16 National League baseball teams, we can use the formula for Pearson's correlation coefficient.

First, we need to calculate the following sums:

Sum of prices (ΣX) = 19.68 + 17.07 + 34.30 + 17.90 + 14.72 + 16.70 + 26.66 + 20.09 + 18.11 + 25.28 + 26.73 + 17.08 + 20.83 + 24.53 + 29.78 + 20.88 = 387.47

Sum of wins (ΣY) = 90 + 84 + 85 + 72 + 90 + 71 + 73 + 82 + 83 + 88 + 89 + 68 + 89 + 71 + 78 + 73 = 1296

Sum of products of prices and wins (ΣXY) = (19.68 * 90) + (17.07 * 84) + (34.30 * 85) + (17.90 * 72) + (14.72 * 90) + (16.70 * 71) + (26.66 * 73) + (20.09 * 82) + (18.11 * 83) + (25.28 * 88) + (26.73 * 89) + (17.08 * 68) + (20.83 * 89) + (24.53 * 71) + (29.78 * 78) + (20.88 * 73) = 24839.87

Sum of squared prices (ΣX^2) = (19.68)^2 + (17.07)^2 + (34.30)^2 + (17.90)^2 + (14.72)^2 + (16.70)^2 + (26.66)^2 + (20.09)^2 + (18.11)^2 + (25.28)^2 + (26.73)^2 + (17.08)^2 + (20.83)^2 + (24.53)^2 + (29.78)^2 + (20.88)^2 = 19151.7899

Sum of squared wins (ΣY^2) = (90)^2 + (84)^2 + (85)^2 + (72)^2 + (90)^2 + (71)^2 + (73)^2 + (82)^2 + (83)^2 + (88)^2 + (89)^2 + (68)^2 + (89)^2 + (71)^2 + (78)^2 + (73)^2 = 94518

Using these sums, we can calculate the correlation coefficient (r):

r = (n * ΣXY - ΣX * ΣY) / sqrt((n * ΣX^2 - (ΣX)^2) * (n * ΣY^2 - (ΣY)^2))

where n is the number of data points, which in this case is 16.

Substituting the values:

r = (16 * 24839.87 - 387.47 * 1296) / sqrt((16 * 19151.7899 - (387.47)^2) * (16 * 94518 - (1296)^2))

Calculating this expression gives us:

r ≈ 0.207

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\(v = \frac{lwh}{3} \)

\(v = \frac{12 \times 10 \times 3}{3} \)

\(v = 120 \: {ft}^{3} \)

\(v = lwh\)

\(v = 12 \times 10 \times 7\)

\(v = 840 \: {ft}^{3} \)

\(v = 120 + 840\)

\(v = 960 \: {ft}^{3} \)

pyramid:

lwh/2

=12×10×3/3

=120 ft^3

prism:

whl

=12×10×7

=840 ft^3

all together:

=960 ft^3

Step-by-step explanation:

Answer:

There were 52 students on each bus.

Step-by-step explanation:

I divided 8 by 423 and got 52.

Then i did 52 x 8= 416 and i added seven and got 423. so your answer would be 52:)

Trevor has built a bookshelf which has dimensions of 2 feet by 2 feet for each shelf and a height of 4 feet with a solid board across the back. He wants to paint all surfaces, including the undersides of each shelf and both sides of the backboard.

To calculate the total paintable area, we need to find the area of each shelf and the backboard, and then add them together.

Each shelf has an area of 2 feet x 2 feet = 4 square feet. There are a total of 4 shelves, so the total area of all the shelves is 4 shelves x 4 square feet per shelf = 16 square feet.

The backboard has a height of 4 feet and a width of 2 feet, so its area is 4 feet x 2 feet = 8 square feet. Since both sides of the backboard need to be painted, the total area of the backboard is 2 x 8 square feet = 16 square feet.

Therefore, the total paintable area of the bookshelf is the sum of the area of all the shelves and the backboard, which is:

16 square feet (area of shelves) + 16 square feet (area of backboard) = 32 square feet

Therefore, Trevor will need to paint a total of 32 square feet of surface area on the bookshelf.