Jin decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?

Answer:

y-2=2(x-30)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-28-2)/(15-30)

m=-30/-15

m=2

y-y1=m(x-x1)

y-2=2(x-30)

The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.

The matrices are given by:

3a: 3[5 2]' = [15 6].

b = [7 1;5 0].

With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.

Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

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Answer:

Age

Step-by-step explanation:

it is about them.

If it were how many siblings they have it, then would not be just about them.

If it were there sport it would not be about them it would also be about sports

The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

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

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Answer:

\(y = \frac{-1}{2}(x-3)\)

Step-by-step explanation:

To determine the inverse of an equation, simply switch the places of the 'x' and 'y' variables. Therefore:

f(x) = -2x + 3

Use 'y' in place of f(x).

y = -2x + 3

Switch the 'x' and the 'y':

x = -2y + 3

Subtract '3' from both sides:

x - 3 = -2y

Divide both sides by '-2':

\(y= \frac{x-3}{-2}\)

Simplify:

\(y = \frac{-1}{2}(x-3)\)

Answer:

The correct answer is D

Step-by-step explanation:

Trust

Answer:

The answer would be C.

Step-by-step explanation:

4-1 is 3. -2(3) is -6.

The value for f'(x) is a) f'(0) = -3/2,  b)  \(f'(0) = \frac{-15}{2} * cos(2^{(\frac{3}{2})})\).

To find the derivative f'(x) of the given functions, apply the chain rule and the power rule of differentiation. Calculate f'(x) for each function and evaluate f'(0).

a. f(x) = arctan(e⁽⁻³ˣ⁾)

To find f'(x), use the chain rule:

f'(x) = d/dx [arctan(e⁽⁻³ˣ⁾)]

= (1 / (1 + (e⁽⁻³ˣ⁾)²)) × d/dx[e^⁽⁻³ˣ⁾]

= (1 / (1 + e⁽⁻⁶ˣ⁾)) × (-3e⁽⁻³ˣ⁾)

To evaluate f'(0), substitute x = 0:

f'(0) = (1 / (1 + e⁰)) × (-3e⁰)

= (1 / 2) × (-3)

= -3/2

Therefore, f'(0) = -3/2.

b. \(f(x) = sin((x^3 - 5x + 2)^{(\frac{3}{2})})\)

To find f'(x), use the chain rule and the power rule:

\(f'(x) = \frac{d}{dx} sin((x^3 - 5x + 2)^{(\frac{3}{2})})\)

\(= cos((x^3 - 5x + 2)^{(\frac{3}{2})}) * \frac{d}{dx} [(x^3 - 5x + 2)^{(\frac{3}{2})}]\)

\(= cos((x^3 - 5x + 2)^{(\frac{3}{2})}) * \frac{3}{2} (2x^2 - 5)\)

To evaluate f'(0), substitute x = 0:

\(f'(0) = cos((0^3 - 5(0) + 2)^{(\frac{3}{2})}) * (\frac{3}{2}) * (2(0)^2 - 5)\)

\(= cos(2^{(\frac{3}{2})}) * (3/2) * (-5)\)

= \(\frac{-15}{2} * cos(2^{(\frac{3}{2})})\)

Therefore, \(f'(0) = \frac{-15}{2} * cos(2^{(\frac{3}{2})})\).

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The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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Answer:

6

Step-by-step explanation:

Let's call the number of pairs of socks he buys s.

\(12.50+2.50s=27.50\)

Subtract 12.50 from both sides:

\(2.50s=15\)

Divide both sides by 2.5 to isolate s:

\(s=6\)

Hope this helps!

I could offer a credit of $66.6.

A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.

The given bill of customer =  $333.0.

Credit can be given to customer = 20%

Now,I can credit a customers account up to 20% of full amount due

For credit off to be offer,we need to find 20% of $333

⇒  20% of $333 =  20/100*333

⇒  20% of $333 =  $66.6

Hence, I could offer a credit of $66.6

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Answer:

35

Step-by-step explanation:

35 is %5 of 700.

Answer:

35 people have red hair

Step-by-step explanation:

i also agree to this question

Answer:

i also agree to this question

Step-by-step explanation:

======================================================

Explanation:

Rule: We cannot divide by zero.

Because of that rule, we'll set the denominator equal to zero and solve for x. This way we can determine the x value(s) that are to be excluded from the domain.

6 - |x-1| = 0

|x-1| = 6

x-1 = 6 or x-1 = -6

x = 6+1 or x = -6+1

x = 7 or x = -5

Those x values are to be excluded from the domain, since they make the denominator zero.

Imagine a number line in which we poked open holes at -5 and 7

Combining everything gets us x < -5; -5 < x < 7; x > 7

Answer:

It's a, 2^x + 3

Step-by-step explanation:

If you look at the y-intercept, you can see that there was a vertical shift upwards by 3 (y intercept moved from y = 1 to y = 4).

If you're studying for the SAT, it'll be good to study the transformation rules, including horizontal stretches/shifts. They always seem to throw one or two questions about those on there.

The order from the situation with the largest difference between relative frequency and actual probability to the situation with the smallest difference would be:

Situation 1: Derrick rolls the die 10 times.

Situation 2: Derrick rolls the die 100 times.

Situation 3: Derrick rolls the die 1,000 times.

Situation 4: Derrick rolls the die 10,000 times.

Situation 5: Derrick rolls the die 1,000,000 times.

To determine the order of situations from the largest difference between relative frequency and actual probability to the smallest difference, we need to consider the concept of relative frequency and actual probability.

Relative frequency refers to the observed proportion of an event occurring in an experiment or trial, while actual probability represents the theoretical or expected probability of that event occurring.

Situation 1: Derrick rolls the die 10 times.

In this situation, the relative frequency of rolling a three can vary, but with a limited number of trials, the relative frequency might not accurately reflect the actual probability. Therefore, the difference between relative frequency and actual probability is likely to be larger compared to situations with more trials.

Situation 2: Derrick rolls the die 100 times.

With a larger number of trials, the relative frequency is expected to converge towards the actual probability. The difference between relative frequency and actual probability would likely be smaller compared to the previous situation.

Situation 3: Derrick rolls the die 1,000 times.

Increasing the number of trials further enhances the convergence of relative frequency to the actual probability. The difference between relative frequency and actual probability would be smaller than in the previous two situations.

Situation 4: Derrick rolls the die 10,000 times.

With an even larger number of trials, the relative frequency becomes more reliable and closely approximates the actual probability. The difference between relative frequency and actual probability would be smaller compared to the previous situations.

Situation 5: Derrick rolls the die 1,000,000 times.

In this situation, the large number of trials greatly increases the reliability and accuracy of the relative frequency. The observed relative frequency is expected to be very close to the actual probability, resulting in the smallest difference between the two.

Therefore, the order from the situation with the largest difference between relative frequency and actual probability to the situation with the smallest difference would be:

Situation 1: Derrick rolls the die 10 times.

Situation 2: Derrick rolls the die 100 times.

Situation 3: Derrick rolls the die 1,000 times.

Situation 4: Derrick rolls the die 10,000 times.

Situation 5: Derrick rolls the die 1,000,000 times.

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The percentage off that the individual got off from his groceries is 5.09%

Tax is the amount removed on a cost of an item. It is represented as a percentage.

Given the following parameters

total price of goods = $69.50

Discount = $3.54

Determine the percent off

Percent off = discount/Total price * 100

Percent off = 3.54/69.50 * 100

Percent off = 354/69.50

Percent off = 5.09%

Hence the percentage off that the individual got off from his groceries is 5.09%

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Answer:

Third answer: "The lines intersect at a right angle"

Step-by-step explanation:

The definition of perpendicular lines is precisely that they share the same plane and intersect at a right angle.

Answer:

B. Smaller

Step-by-step explanation:

This is because absolute value doesn't matter about negative or positive

Simplify the expression by using distributive property.

So answer is 35x + 20.

Answer:

I got A and it was right

Step-by-step explanation:

The "Previous Balance Method" seems to be the one that aligns with the provided information.

Given that:

Beginning balance on 6/1: $265.40

Payment on 6/6: $90.00

Purchase on 6/16: $43.33

Purchase on 6/22: $37.71

They have also given the finance charge for June, which is $3.56.

The different methods according to the options are:

a. Daily Balance Method: This method calculates the finance charge based on the daily balance throughout the billing cycle. It takes into account daily changes in the balance due to transactions and payments.

b. Adjusted Balance Method: This method calculates the finance charge based on the adjusted balance at the end of the billing cycle. The adjusted balance is the beginning balance minus any payments made during the billing cycle.

c. Previous Balance Method: This method calculates the finance charge based on the previous month's balance, regardless of any payments made during the current billing cycle.

Based on the given information, we don't have the exact daily balances or the specific date of the finance charge calculation. However, we know the finance charge for the entire month of June is $3.56.

Out of the three methods, the "Previous Balance Method" seems to be the one that aligns with the provided information. It calculates the finance charge based on the previous month's balance, which would include the beginning balance on 6/1 and any outstanding balance from previous months.

So the correct answer is option C, Previous Balance Method.

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The length of the side GF is equal to 0.96 according to Pythagoras's Theorem.

Given angle ∠E = 16°

Length of side GE = 3.5

Also the given angle is right angled triangle. So ∠F = 90°.

Now we need to find the length of side GF.

Use Pythagoras's theorem to find the length GF.

Formula: \(C^{2} =A^{2} +B^{2}\)

i.e., \(GE^2=GF^2+EF^2\)

Now, according to trigonometric rules, sinФ= opposite /hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite / adjacent

Now, sum of all angles = 180°

So ∠G = 180°-90°-16° = 74°

∠G = 74°

Now, sin 16° = x/3.5 = opposite / hypotenuse

x = 0.275 x 3.5

x= 0.96

Therefore, the length of the side GF (x) is equal to 0.96.

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\(A_{\triangle}=\dfrac{1}{2}\cdot 12\text{ in}\cdot 4\text{ in}=24\text{ in}^2\\\\A_{\square}=12\text{ in}\cdot 9\text{ in}=108\text{ in}^2\\\\A_{\text{Figure}}=A_{\triangle}+A_{\square}=24\text{ in}^2+108\text{ in}^2=132\text{ in}^2\)

Answer:

132

Step-by-step explanation:

First calculate the area of the triangle, Triangle area formula is 1/2 B x H meaning we'd have to do 4 x 12 which gives us 48. Then we half 48 and get 24. We then calculate the area of the rectangle which is L x W so we do 9x 12 and get 108 we add the two numbers and get 132.

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

\(b1=1b2=1h=7b1=1b2=6h=2b1=6b2=9h=2\)

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

you must read good luck

Answer:

|v – 84.5| = 10.5

Step-by-step explanation:

|v – average| = range

|v – 84.5| = 10.5

Answer:

i think 108

Step-by-step explanation:

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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