Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher.
How old is Ishaan?

Answer:

y=2x-8

Step-by-step explanation:

The Bonferroni method is a procedure for controlling the family-wise error rate (FWER) in multiple comparisons.

To use the Bonferroni method to perform multiple comparisons of the four levels of treatments at the 0.01 level, we would do the following:

Determine the number of pairwise comparisons that will be made. In this case, there are 6 possible pairwise comparisons among the 4 levels of treatments: (1,2), (1,3), (1,4), (2,3), (2,4), and (3,4).

Calculate the Bonferroni-corrected significance level for each pairwise comparison by dividing the desired overall significance level (0.01) by the number of pairwise comparisons. In this case, the Bonferroni-corrected significance level for each pairwise comparison is:

0.01 / 6 = 0.00167

Conduct each pairwise comparison using the Bonferroni-corrected significance level. For example, to compare treatment levels 1 and 2, we would conduct a hypothesis test at the 0.00167 level of significance. If the p-value for the test is less than 0.00167, we would reject the null hypothesis and conclude that there is a significant difference between treatment levels 1 and 2. We would repeat this process for each pairwise comparison.

Note that the Bonferroni method is a conservative approach, meaning that it tends to be more stringent than other methods of controlling the FWER. This can reduce the likelihood of false positives (Type I errors) but may also increase the likelihood of false negatives (Type II errors).

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Answer:

1.75 or 1 and 3/4. I hope this helped.

Answer:

its A

Step-by-step explanation:

The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that:

Weight/Calories   1000-1500   1500-2000 2000-2500    Total

per Day              

120 lb.                        90            80      10        180

145 lb.                        35            143       25        203

165 lb.                        15             27         75         117

Total                       140            250        110       500

Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110

And, Total = 500

Now the probability that a person consumes 2,000 to 2,500 calories in a day :

⇒ 110 / 500

⇒ 0.22

Hence  the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

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Answer:

Father=36 years old

Step-by-step explanation:

5 people 4 children and a father

average age=12

add the ages

3+5+6+10=24

24+12=36

check the work

36 +24=60

60/5=12

answer=36

Answer:

36 years old

Step-by-step explanation:

The average age of father and four children can be expressed in mathematics as:

\(\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}\)

The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:

\(\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}\)

Determine or let the following be:

It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:

\(\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}\)

From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.

First, multiply 5 both sides to get rid of denominator.

\(\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}\)

Evaluate 3+5+6+10 which equals 24.

\(\displaystyle \large{f+24=60}\)

Next, subtract both sides by 24 to isolate f-term.

\(\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}\)

Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!

If you have any doubts, please let me know in the comment!

Answer: 7 Hours

Step-by-step explanation: 30 x 14(days)=420(mintue)/60( 1 hour)=7

Answer: 8/15

Step-by-step explanation:

Vertical:     there are 4 shaded squares out of 5 total squares  →    4/5

Horizontal: there are 2 shaded squares out of 3 total squares  →    2/3

                                       \(\dfrac{4}{5}\times \dfrac{2}{3}\quad =\large\boxed{\dfrac{8}{15}}\)

According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.

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Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

The difference between r and p.  is that r represents the sample correlation coefficient while p represents the p-value

Generally, r represents the sample correlation coefficient, which is a measure of the strength and direction of the linear relationship between two variables in a sample of data. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.

p represents the p-value, which is a measure of the statistical significance of the sample correlation coefficient. It represents the probability that the observed correlation occurred by chance, assuming that there is no true correlation in the population.

A p-value of less than 0.05 is often used as a threshold for determining statistical significance, meaning that the observed correlation is unlikely to have occurred by chance and is likely to reflect a true correlation in the population.

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Answer:

1=yes

2=no

3=no

4=no

5=yes

6=yes(im not sure on this last one)

Step-by-step explanation:

If no vertical line can intersect the curve more than once, the graph does represent a function.

Answer:

Graph 1= It's a function

Graph 2= No

Graph 3= No

Graph 4= No

Graph 5= Yes

Graph 6= Yes

Step-by-step explanation:

Answer: They believed each temple they built should honor only one god, no matter how big or elaborate the temple.

Step-by-step explanation:

Answer:

x = 13/8

y = 5/4

Step-by-step explanation:

y = 6x - 11

-2x - 3y = -7

6x - y = 11

-2x - 3y = -7

18x - 3y = 33

-2x - 3y = -7

16x = 26

x = 26/16 = 13/8

y = 39/4 - 11 = 5/4

y=6x-11

-2x-3y=-7

The solution to the system of equations is:

5/4

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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What is inequality?

In Algebra, inequality shows the relation between two expressions using the inequality symbol.

The graph shows the equation y<x^2+1 is attached

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The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.

The steps to graph an inequality equation are:

The given inequality is y < x² + 1

Finding points to graph the boundary line by taking y = x² + 1:

When x = -2,

y = (-2)² + 1 = 4 + 1 = 5

⇒ (-2, 5)

When x = -1,

y = (-1)² + 1 = 2

⇒ (-1, 2)

When x = 0,

y = (0)² + 1 = 1

⇒ (0, 1)

When x = 1,

y = (1)² + 1 = 2

⇒ (1, 2)

When x = 2,

y = (2)² + 1 = 5

⇒ (2, 5)

Plotting these points in the graph forms an upward-facing parabola.

So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.

From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".

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Answer:

\(x=20\)

Step-by-step explanation:

Since angle RTS is a right angle, we have three similar triangles.

Thus, \(\frac{x}{25} = \frac{16}{x}\)

Cross Products, \(x^2=400\)

Take the square root: \(x=20\)

Answer:

x=20

Step-by-step explanation:

RTS is a right triangle so you cross multiply

Answer:

x = 4

Step-by-step explanation:
1.Distribute

2. Subtract 2 from both sides
3. Simplify
4. Divide both sides by same factor

5. Simplify
x = 4

Answer: 4

Step-by-step explanation:

We have to try getting x by itself to solve for it. Since we have two sides that are equal to each other, we can add, subtract, multiply, and divide anything on both sides to try to isolate x.

\(2(x+1)=10\)

We can first divide the left side and the right side by 2. This would remove the 2 being multiplied on the outside.

\(\frac{2(x+1)}{2}=\frac{10}{2}\\x+1=10\div 2\\x+1=5\)

Now, we have a + 1 on the left side that we need to remove to get x by itself. If we are adding something, we can remove that by subtracting the same thing. Hence, we can subtract 1 from both sides to remove the + 1.

\(x+1=5\\x+1-1=5-1\\x+0=4\\x=4\)

After all that simplifying, we get that x equals 4.

Given:

The function is:

\(f(x)=2.9646(1.0170)^x\)

To find:

Rewrite the exponential equation given above using base e.

Solution:

The exponential models is:

\(f(x)=P(1+r)^x\)         ...(i)

Where P is initial values, r is the rate of interest and x is the time period.

The exponential models using base e is:

\(f(t)=Pe^{rt}\)           ...(ii)

Where, P is initial values, r is the rate of interest and t is the time period.

The given function is:

\(f(x)=2.9646(1.0170)^x\)

It can be written as:

\(f(x)=2.9646(1+0.0170)^x\)        ...(iii)

On comparing (i) and (iii), we get

\(P=2.9646\)

\(r=0.0170\)

Putting \(P=2.9646\) and \(r=0.0170\) in (ii), we get

\(f(t)=2.9646e^{0.0170t}\)

Therefore, the correct option is D.

The maximum and minimum values of the function f(x, y, z) = x^2 * y^2 * z^2 subject to the constraint x^2 + y^2 + z^2 = 64 are not attainable within the given constraint. It means that there is no maximum or minimum value for the function within the given constraint.

To find the maximum and minimum values of the function f(x, y, z) = x^2 * y^2 * z^2 subject to the constraint x^2 + y^2 + z^2 = 64, we can use the method of Lagrange multipliers.

Let's define the Lagrangian function L(x, y, z, λ) as:

L(x, y, z, λ) = x^2 * y^2 * z^2 + λ(x^2 + y^2 + z^2 - 64)

Taking partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we have:

∂L/∂x = 2xy^2z^2 + 2λx = 0

∂L/∂y = 2x^2yz^2 + 2λy = 0

∂L/∂z = 2x^2y^2z + 2λz = 0

∂L/∂λ = x^2 + y^2 + z^2 - 64 = 0

From the first three equations, we can rewrite them as:

2x(y^2z^2 + λ) = 0

2y(x^2z^2 + λ) = 0

2z(x^2y^2 + λ) = 0

Since we are looking for non-zero values of x, y, and z, the expressions in parentheses must be zero:

y^2z^2 + λ = 0

x^2z^2 + λ = 0

x^2y^2 + λ = 0

From these equations, we can deduce that λ = 0, and consequently, yz = 0, xz = 0, and xy = 0.

Considering the constraint x^2 + y^2 + z^2 = 64, we have the following cases:

If x = 0, then y^2 + z^2 = 64. This represents a circle on the yz-plane.

If y = 0, then x^2 + z^2 = 64. This represents a circle on the xz-plane.

If z = 0, then x^2 + y^2 = 64. This represents a circle on the xy-plane.

From these cases, it is clear that x, y, and z cannot all be zero simultaneously since that would violate the constraint.

Therefore, the maximum and minimum values of the function f(x, y, z) = x^2 * y^2 * z^2 subject to the constraint x^2 + y^2 + z^2 = 64 are not attainable within the given constraint. It means that there is no maximum or minimum value for the function within the given constraint.

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Answer:

1) Velocity

\(v(t) = -4\cdot t^{3}+36\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+72\cdot t\)

2) Velocity

\(v(t) = -4\cdot t^{3}+24\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+48\cdot t\)

Step-by-step explanation:

From Physics we remember that velocity (\(v(t)\)) and acceleration (\(a(t)\)) are the first and second derivatives of the function position in time. That is:

1) Let \(s(t) = -t^{4}+12\cdot t^{3}\), where \(t \ge 0\). The functions velocity and aceleration are, respectively:

Velocity

\(v(t) = -4\cdot t^{3}+36\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+72\cdot t\)

2) Let \(s(t) = -t^{4}+8\cdot t^{3}\), where \(t\ge 0\). The functions velocity and acceleration are, respectively:

Velocity

\(v(t) = -4\cdot t^{3}+24\cdot t^{2}\)

Acceleration

\(a(t) = -12\cdot t^{2}+48\cdot t\)

Answer:

x=2

Step-by-step explanation:

Given: 3ln2 +ln8=2ln(4x)

          ⇒ln \(2^{3}\)+ln8=2ln(4x)            ( m ln (n)= ln(\(n^{m}\)))

             ⇒ ln8+ln8= 2ln(4x)

            ⇒ 2ln8= 2ln(4x)

   comparing both sides, we get

  8=4x

  ⇒x=2

Answer:

50%

Step-by-step explanation:

Well you do 30/20 = 1.5

1.5 - 1 = .5

.5 = 50%

If we assume a normal distribution, we know that approximately 95% of the scores fall within 2 standard deviations of the mean. However, since we don't know the shape of the distribution.

To calculate the minimum proportion of scores that fall within 2.1 standard deviations on both sides of the mean, we need more information about the distribution, such as the shape (e.g., normal, skewed), mean, and standard deviation.

If we assume a normal distribution, we can use the empirical rule to estimate the minimum proportion. The empirical rule states that approximately 68% of the scores fall within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.

Therefore, if we assume a normal distribution, the minimum proportion of scores falling within 2.1 standard deviations on both sides of the mean would be slightly lower than 95%, but the exact proportion cannot be determined without more information about the distribution.

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Answer:

2x² + 14x + 6

Step-by-step explanation:

A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid

A=2(wl+hl+hw)

where l = length, w=width and h = height

Substituting l = x, w = x+1 and height = 3 we get

wl = x(x + 1) = x² + x

hl = 3x

hw = 3(x + 1) = 3x + 3

So A = 2( x² + x + 3x + 3x + 3)

A = 2(x² + 7x + 3)

A = 2x² + 14x + 6

The dimensions of the fridge are the length, width and the height of the fridge

The volume of the fridge is 123379.2 cubic inches

The dimensions are given as:

70 inches ×1.7 yards ×2.4 feet

Convert the dimensions to inches

70 inches × 61.2 inches × 28.8 inches

So, the volume is:

Volume = 123379.2 cubic inches

Hence, the volume of the fridge is 123379.2 cubic inches

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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

A quadrilateral is a closed shape that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The sum of quadrilateral interior angles is always 360 degrees. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.

A parallelogram is formed when both pairs of opposite sides of a quadrilateral are congruent. A parallelogram is formed when one pair of opposite sides of a quadrilateral are parallel and congruent.

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The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

173.25 miles

Step-by-step explanation:

do 34.65 x 5 to get the answer.

hope this helps!

The maximum wage that this perfectly competitive firm should pay to hire this worker = $80

The options for this question

A) $80 minus the firm's profit markup

B) It depends on what the going wage rate is in the labor market.

C) $80

D) There is insufficient information to answer the question.

now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker

given that

the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit

maximum wage = additional units × sold per unit

                          = 20 × 4 = 80

the maximum wage = $80

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In linear equation, 31.25  is the maximum number of copies you can afford to make .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Here,

Let the number of copies be x,

According to the question,

0.40x < 12.50

x < 12.50 / 0.40

x <  31.25

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