1. In any energy pyramid, only of the available energy is passed from one level to the next. 10%
25%
50%​

The unknown value in the table using the constant of proportionality is; 96

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.

We are given the coordinates;

(12, 42), (18, 63), (40, y)

where x-values represents time in seconds and y-values represents number of pencils that were produced.

To find the constant of proportionality is as good as finding the slope between two consecutive points as;

m = (63 - 18)/(42 - 12)

m = (45/30)

m = 1.5

Thus to find the unknown value y, we will use the formula;

(y - y1)/x - x1) = m

So we will use the coordinates; (18, 63), (40, y)

Plugging them into the formula above will result in;

(y - 63)/(40 - 18) = 1.5

y - 63 = 1.5 * 22

y - 63 = 33

y = 33 + 63

y = 96

Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.

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Using the z-distribution, the 99% confidence interval for the true population mean textbook weight is ( 89.772 , 64.228 )

The confidence interval is:

= μ ± z ( σ / \(\sqrt{n}\) )

Where,

μ X is the sample mean.

z is the critical value.

n is the sample size.

σ is the standard deviation for the population.

In this problem, we have a 99% confidence level, hence \(\alpha =0.99\) , z is the value of Z that has a p-value of \(\frac{1+0.99}{2}\) = 0.995,

So the critical value z- distribution is z = 2.575.

The other parameters are given as follows:

Mean μ = 77

Standard deviationσ = 7

Sample size two side n = 2

Hence the lower and upper bound of the interval are given, respectively, by:

= μ ± z ( σ / \(\sqrt{n}\) )

= μ + z ( σ / \(\sqrt{n}\) )   ,     μ - z ( σ / \(\sqrt{n}\) )

= 77 + 2.575 ( \(\frac{7}{\sqrt{2} }\) ) ,    77 - 2.575 ( \(\frac{7}{\sqrt{2} }\) )

= 77 + 2.575 ( \(\frac{7}{1.41}\) ) ,   77 - 2.575 ( \(\frac{7}{1.41}\) )

= 77 + 2.575 ( 4.96 ) , 77 - 2.575 ( 4.96 )

= 77 + 12.772 ,             77 - 12.772

= ( 89.772 , 64.228 )

Therefore,

Using the z-distribution, the 99% confidence interval for the true population mean textbook weight is ( 89.772 , 64.228 )

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First, we have to find the percent that went to social issue on saturday

So, with this we can calculate the Sunday amount

399 people are expected to go to Social Issues

Thus, the line of best fit for the given speed x (miles per hour)  and their corresponding Braking distance y (feet) is drawn.

A mathematical idea that correlates points spread throughout a graph is called the line of best fit. The optimum technique to define the association between the dots is determined using scatter data in this type of linear regression.

Given table is:

Speed, x (miles per hour) -     20    30     40    50     60

Braking distance, y (feet) -     20    45     80    125    180

Plot the (x,y) coordinates on the graph:

(20, 20) , (30, 45), (40, 80), (50, 125), (60, 180)

line of best fit defines the line, which is the average of the values covering the given data.

For the given data: line of best fit is drawn.

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main answer: the minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

supporting answer:

what is profit?

 the amount gained from any business activity When a shopkeeper sells a product, his motivation is to profit from the buyer.

body of the answer:

the total monthly fixed costs are $7363.50 and the variable cost per chair $52.17

the cost price isC(x)=17363.50+52.17*3575

profit function is P(x)=C(x)-s

P(x)=203871.25-3575x

55000=203871.25-3575x

3575x=148871.25

x=41.64

the minimum sales price zion sun chairs for each must be $41.64 to a monthly proft of $55000

final answer: the minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

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The minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

What is profit?

The amount gained from any business activity When a shopkeeper sells a product, his motivation is to profit from the buyer.

The total monthly fixed costs are $7363.50 and the variable cost per chair is $52.17

The cost price is C(x)=17363.50+52.17*3575

Profit function is P(x)=C(x)-s

P(x) = 203871.25-3575x

55000 = 203871.25-3575x

3575x = 148871.25

x = 41.64

The minimum sales price of zion sun chairs for each must be $41.64 to a monthly profit of $55000

The minimum sales price of zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

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Answer:

5 meters bc you just multiply it by 2

Each of the 8 student groups will need to raise $60.32 to help purchase the swing set.

The parent-teacher association needs to raise $482.56 to purchase the swing set after receiving a $200 donation. Each of the 8 student groups will need to raise an equal amount of $60.32 to reach the goal.

To calculate the amount each student group needs to raise, first subtract the $200 donation from the total cost of the swing set:

$682.56 - $200 = $482.56

Then, divide the remaining amount by the number of student groups:

$482.56 ÷ 8 = $60.32

Therefore, each of the 8 student groups will need to raise $60.32 to help purchase the swing set.

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Answer:

154.94

Step-by-step explanation:

Answer:

154.94

Step-by-step explanation:

61 * 2.54 = h

154.94 centimeters

Answer:

n < -10

Step-by-step explanation:

n+7 < -3

subtract 7 from both sides

n+7-7 < -3-7

n < -10

Answer: i agree with the other guy ↑

The value of the Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. As a result, the premium of the Arrow-Debreu security can be computed using the following formula: \($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)

where π=0.4, R=1.05, n=6, and t=2 (expiry node).

By substituting the values, we obtain:

\($P_{2}=\frac{1}{(1+1.05)^{6-2}}\times 0.4 = \frac{0.4}{(1.05)^4} \approx 0.3058$.\)

Therefore, the premium of the Arrow-Debreu security is approximately $0.3058.

Arrow-Debreu securities are typically utilized in financial modeling to simplify the pricing of complex securities. They are named after Kenneth Arrow and Gerard Debreu, who invented them in the 1950s. An Arrow-Debreu security pays $1 if a particular state of the world is realized and $0 otherwise.

They are generally utilized to price derivatives on numerous assets that can be broken down into a set of Arrow-Debreu securities. The value of an Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. In other words, the expected value of the security is computed using the risk-neutral probability, which is used to discount the value back to the present value.

The formula is expressed as:

\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$\),

where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods.However, Arrow-Debreu securities are not traded in real life. They are used to determine the prices of complex securities, such as options, futures, and swaps, which are constructed from a set of Arrow-Debreu securities.

This process is known as constructing a complete financial market, which allows for a more straightforward pricing of complex securities.

The premium of the Arrow-Debreu security is calculated by multiplying the risk-neutral probability of the security’s payoff by the present value of its expected payoff, discounted at the risk-neutral rate.

The formula is expressed as

\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)

where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods. Arrow-Debreu securities are not traded in real life but are used to price complex securities, such as options, futures, and swaps, by constructing a complete financial market.

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The solution of equations is x=3 ,y=1

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

x=3y

2x+4y=10

Substitute the first equation into the second one

2(3y)+4y=10

6y+4y=10

10y=10

Y=1

Place the answer for Y into the first equation

X=3(1)

X=3

Therefore; the value of x and y of equations will be 3 and 1

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Together, it will take the two machines 102 minutes to produce 5100 cans.

To solve this problem, we will use the work formula,

which is Work = Rate × Time.

1. First, let's find the rate of each machine.

New machine rate: 5100 cans / 170 minutes = 30 cans/minute

Old machine rate: 5100 cans / 255 minutes = 20 cans/minute

2. Now, let's find the combined rate of both machines. Combined rate: New machine rate + Old machine rate = 30 cans/minute + 20 cans/minute = 50 cans/minute

3. Finally, we will use the combined rate to find the time it takes for both machines to produce 5100 cans together.

Time = Work / Combined rate = 5100 cans / 50 cans/minute = 102 minutes

Together, it will take the two machines 102 minutes to produce 5100 cans.

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Answer:

Solving for x gives us x = 1.33

The value for x cannot equal 3,-1

Explanation:

The initial expression is:

The denominator of the right side can be factorized as (x - 3)(x + 1) because -3 and 1 multiply to -3 and sum to -2. So, we can rewrite the expression as:

Now, we can sum the expression on the left side to get:

Both sides have a denominator of (x-3)(x+1), so we need to exclude the values where this denominator is equal to 0. Those values are:

x - 3 = 0

x - 3 + 3 = 0 + 3

x = 3

x + 1 = 0

x + 1 - 1 = 0 - 1

x = -1

So, the values of x cannot be equal to 3 and -1.

Then, if the denominators are the same, we can find the solution of the equation, making equal the numerators, so we need to solve:

Solving for x, we get:

Therefore, the answers are:

Solving for x gives us x = 1.33

The value for x cannot equal 3,-1

The limit becomes: lim 3^(2x - 6) = ∞

x→∞ The limit of the expression is infinity (∞) as x approaches infinity.

(1) To find the limit of the expression lim (h-1)' + 1 / h as h approaches 0, we can simplify the expression as follows:

lim (h-1)' + 1 / h

h→0

Using the derivative of a constant rule, the derivative of (h - 1) with respect to h is 1.

lim 1 + 1 / h

h→0

Now, we can take the limit as h approaches 0:

lim (1 + 1 / h)

h→0

As h approaches 0, 1/h approaches infinity (∞), and the limit becomes:

lim (1 + ∞)

h→0

Since we have an indeterminate form (1 + ∞), we can't determine the limit from this point. We would need additional information to evaluate the limit accurately.

(2) To find the limit of the expression lim (|-3|)^(2x - 6) as x approaches infinity, we can simplify the expression first:

lim (|-3|)^(2x - 6)

x→∞

The absolute value of -3 is 3, so we can rewrite the expression as:

lim 3^(2x - 6)

x→∞

To evaluate this limit, we need to consider the behavior of the exponential function with increasing values of x. Since the base is positive and greater than 1, the exponential function will increase without bound as x approaches infinity.

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The step 1 will process with beginning, mapping, and optimising. The step 2 will includes matrices calculation, creating control chart and analysis.

The steps to be followed for step 1 are as follows-

Begin with value identification which is the creation of word document. Map the value stream to remove redundant activites followed by waste elimination. Then work on to improve the efficiency by using templates, headers, using keyboard shortcuts and enabling autosave.

To proceed to step 2 and check if the process could benefit from other tools, consider these three actions: 1. Calculating the metrices that includes variation and process capability. 2. Formulate the control chart for process. 3. Analyse the metrices and control chart via the SPC method.

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Answer:

x=-3 or 4

Step-by-step explanation:

2(x+3)(x-4)

(2x+6)(x-4)

2x(x-4)+6(x-4)

2x²-8x+6x-24

2x²-2x-24=0. (quadratic equation)

using almighty formula

X1=-3

X2=4

Answer:

2(×±3)×-4. the answer is below

x1=3

x2=4

2

Answer:

no

Step-by-step explanation:

Answer:

\(y=2x-6\)

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

\(d_1=\sqrt{(x-2)^2+(y-3)^2}\)

The distance d2 from (x,y) to (6,1) is:

\(d_2=\sqrt{(x-6)^2+(y-1)^2}\)

Since d1=d2:

\(\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}\)

Squaring both sides:

\((x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2\)

Operating:

\(x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1\)

Simplifying all the squares:

\(-4x+4x+4-6y+9=-12x+36-2y+1\)

Moving the variables to the left side and the numbers to the right side:

\(-4x+12x-6y+2y=36+1-4-9\)

Simplifying:

\(8x-4y=24\)

Dividing by 4:

\(2x-y=6\)

Or, equivalently:

\(\boxed{y=2x-6}\)

If the associated matrix for a linear transformation T: R³ → R³ has three linearly independent column vectors, the strongest conclusion we can draw is that the linear transformation T is invertible.

The invertibility of a linear transformation is determined by the linear independence of its column vectors (or row vectors in the case of the associated matrix). If the column vectors (or row vectors) are linearly independent, it means that the transformation is able to map each vector in the domain to a unique vector in the codomain, and vice versa.

Since the associated matrix has three linearly independent column vectors, it implies that the transformation T is one-to-one (injective) and onto (surjective), which are both properties of invertibility. Therefore, the strongest conclusion we can make is that the linear transformation T is invertible.

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Answer:19

Step-by-step explanation:

Answer:

\(x=\sqrt{\frac{9}{2}}\)

Step-by-step explanation:

\(a^2+b^2=c^2\\x^2+x^2=3^2\\2x^2=9\\x^2=\frac{9}{2} \\x=\sqrt{\frac{9}{2} }\)

Answer: A function that increases by a factor of 10 over every unit interval in x and starts at f(0)=1 could be represented by the function rule f(x) = 10^x.

This function starts at f(0) = 10^0 = 1 and for every increase of 1 in the input x, the output f(x) increases by a factor of 10. For example:

f(1) = 10^1 = 10

f(2) = 10^2 = 100

f(3) = 10^3 = 1000

and so on.

Another possible function rule could be f(x) = 10x +1 it starts at f(0) = 1 and for every increase of 1 in the input x, the output f(x) increases by a factor of 10. for example:

f(1) = 101 +1 = 11

f(2) = 102 +1 = 21

f(3) = 103 +1 = 31

and so on.

Both functions have similar behavior and answer the given conditions.

Step-by-step explanation:

Answer:

Rob would be going 45 over if he's in a 45

Step-by-step explanation:

90-45=45

And to check your work 45+45=90

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.

Step-by-step explanation:

The measure of angle 1 should be 80 degrees.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.

Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.

The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.

Therefore 30° + m ∠1 +  70° = 180°.

100 + m ∠1= 180°.

So, m ∠1= 80°.

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Answer:

See Below

Step-by-step explanation:

1.  Weekly

2. $1650.00

3. Yes.  Employer are required to withhold Federal Income Tax, Social Security and Medicare taxes.

4.  No if you are not part of a union, you do not have to pay union dues.

Hey there!

-8/-4

= 8/4

= -8 ÷ -4

= 8 ÷ 4

= 2

Therefore, your answer is:

Option B. 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

79.4cm

Step-by-step explanation:

1cm = 10mm so 794mm / 10mm = 79.4cm