5. What type of skewness is suggested in the box plot shown?
A Negative skew
B Positive skew

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Answer:

3=6/2=9/3=12/4... is that what you mean?

Step-by-step explanation:

Answer:

9. (Or if you want a fraction that would be 9/1)

Step-by-step explanation:

If m=3, 3m=9

3m=3(3), given that m is 3.

3(3)=9.

Answer:

Step-by-step explanation:

first put it in slope-intercept form:

y+1=-3/5(x-4)

1) distribute

y+1=-3/5x+2.4

2) subtract the 1

y=-3/5x+1.4

now graph!

you can see that the two equations match up, hope that helps!

Answer:

Diagram B

Step-by-step explanation:

Diagram A makes sense to have a line of best fit because there is a common amount of data for where the next points probably will be. The points are close to the line of best fit, and there are pretty much an even amount of points on each side of the line. So, Diagram A’s line of best fit makes sense.

Diagram C makes sense to have a line of best fit because about the line, all the points are right next to it, and the line of best fit gives a nice representation of the data. So, Diagram C’s line of best fit makes sense.

For Diagram B, all of the points all scattered across the graph and none of them are close to the line of best fit, and a line a best fit is usually made to make an estimat of where the data will be, but for example, the point (20,90) is nowhere near the line of best fit. So, Diagram B’s line of best fit should not have been drawn.

Answer:

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

= (3 - 7) / (4 - (-2))

= -4 / 6

= -2/3

Therefore, the value of the parameter m is -2/3.

Answer:

The minimum value of a function is the lowest point of a vertex. If your quadratic equation has a positive a term, it will also have a minimum value. ... If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c - b^2/4a.

Answer: k/2 - 3/5

Step-by-step explanation: This is what my calculator came up with.

The correct answer is option C. Greg will have less than half of his collection.

After Greg sorts his collection of baseball cards, he will give 1/5 of his collection to his brother and sell 4/10 of his collection to a card shop. We can find the total proportion given away or sold:
1/5 + 4/10 = 2/10 + 4/10 = 6/10 = 3/5

Since Greg will give away or sell 3/5 of his collection, he will have 2/5 of his collection left. Comparing this to the given options:

A.) False - Greg will not have exactly half his collection left.
B.) False - Greg will not sell more than half his collection to a card shop.
C.) True - Greg will have less than half of his collection.
D.) False - Greg will not give more than half of his collection to his brother.

Therefore, the correct answer is option C.

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Hello !

1 - a

2 - d

3 - b

4 - c

Answer:

In 8 min it will travel 20

Step-by-step explanation:

Answer:

C. 2

Step-by-step explanation:

2 can go into 36 and 60.

36/2 = 18

60/2 = 30

The other answers cannot go into 36 or 60.

The random variable x has a uniform distribution, defined on [7,11], therefore the P is (C) 0.75

For a uniform distribution, the probability of a random variable X falling within a specific interval is calculated by dividing the length of the interval by the total length of the distribution. In this case, X has a uniform distribution defined on [7, 11].
To find P(8 ≤ X ≤ 11), we first determine the length of the interval: 11 - 8 = 3. Next, we find the total length of the distribution: 11 - 7 = 4. Now, we can calculate the probability:
P(8 ≤ X ≤ 11) = (length of interval) / (total length of distribution) = 3 / 4 = 0.75
Thus, the correct answer is C, 0.75.

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The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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The value of the sum of squares due to regression is 18.43.

Given the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89.

A common measure used in regression analysis is the sum of squares total (SST). The square of each difference is added to the sum of squares to obtain the squared disparities between individual data points and their mean. The variance is calculated using the sum of squares, which is also used to assess how well a regression curve fits the data.

We will use the total sum of squares (SST) is given as the summation of the sum of squares due to regression (SSR) and sum of squares error (SSE);

SST = SSR + SSE

Here, SST=25.32 and SSE=6.89

Substitute the values in the formula, we get

25.32=SSR+6.89

Now, we will subtract 6.89 from both sides, we get

25.32-6.89=SSR+6.89-6.89

18.43=SSR

Hence, the value of the sum of squares due to regression (SSR) when the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89 is 18.43.

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Answer:

(1/3)x + 3 >= 3

<=> (1/3)x >= 0

<=> x >= 0

=> The only value from set satisfies, that is 0.

Hope this helps!

:)

Answer:

0

Step-by-step explanation:

⅓x + 3 》3

⅓x 》0

x 》0

To solve this problem, we can use trigonometry. The tangent of the angle of elevation is equal to the opposite side (height of porch) divided by the adjacent side (length of ramp). So.

tan(24°) = 30/x

where x is the length of the ramp.

To solve for x, we can cross-multiply:

x * tan(24°) = 30

x = 30 / tan(24°)

Using a calculator, we get the following:

x = 73.76 inches

Therefore, the length of the ramp is 73.76 inches.
To find the size of the wheelchair ramp, we can use the angle of elevation and trigonometry concept. We know that the angle of elevation is 24°, and the height of the porch is 30 inches.

We can use the sine function to relate the angle, height, and length of the ramp:

sin(angle) = opposite side / hypotenuse

In this case, the opposite side is the height of the porch (30 inches), and the hypotenuse is the length of the ramp (which we want to find).

sin(24°) = 30 inches/length of the ramp

Now, we need to solve for the length of the ramp:

length of ramp = 30 inches / sin(24°)

Using a calculator to find the sine value and divide:

length of ramp ≈ 30 inches / 0.40775 ≈ 73.60 inches

The closest answer from the provided options is 73.76 inches. So, the length of the ramp is approximately 73.76 inches.

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Answer:

74

Step-by-step explanation:

(80+96+81+89+64)÷5 = 84

Used the formula to get the average of a number. Hope this helps

Answer:

The measurement of angle A is 60° (vertical opposite angle)

The measurement of angle B is 135°(linear pair)

The measurement of angle C is 75°(linear pair)

Answer:

Step-by-step explanation:

It’s c

145 cm is approximately 4.7244 feet.

To convert centimeters (cm) to feet (ft), you can use the conversion factor 1 ft = 30.48 cm. To convert 145 cm to ft, you would divide 145 by 30.48, which gives you 4.7244 ft. The process of converting 145 cm to ft is simple, one needs to divide it by 30.48 . The result is 4.7244 ft.

The centimeter and foot are both units of measurement for length, but they are not interchangeable. The centimeter is commonly used in the metric system, while the foot is used in the imperial system.

It's important to keep in mind that when converting between different units of measurements, one should be careful as the conversion factors are different for different units of measurements.

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The fundamental solution set of the given higher-order homogeneous linear differential equation is a set of solutions obtained by finding the roots of the equation \(r^4 + 2r^3 + 5r^2 + 4r + 4 = 0\). Each root corresponds to a solution of the differential equation.

The fundamental solution set of the higher-order homogeneous linear differential equation \(D^3(D^2 + D + 2)^2[y] = 0\) is not a single solution, but rather a set of multiple solutions that form a basis for the solutions to the equation.

To find the fundamental solution set, we need to solve the given differential equation. First, let's simplify the equation by expanding \((D^2 + D + 2)^2\):

\((D^2 + D + 2)(D^2 + D + 2)[y] = 0\)
\((D^4 + 2D^3 + 5D^2 + 4D + 4)[y] = 0\)

Next, we solve this equation by assuming a solution in the form of \(y = e^{(rx)}\), where r is a constant. Substituting this into the equation, we get:

\((r^4 + 2r^3 + 5r^2 + 4r + 4)e^{(rx)} = 0\)

Since \(e^{(rx)}\) is never equal to zero, we can divide both sides by \(e^{(rx)}\):

\(r^4 + 2r^3 + 5r^2 + 4r + 4 = 0\)

Unfortunately, this equation does not have simple, closed-form solutions. We can use numerical methods or approximation techniques to find the roots of this equation. Each root will correspond to a solution of the original differential equation.

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The length of the curve described by the function is approximately 21.14 units.

The length of the curve described by the function y = f (x) can be found using the formula below:$$\int_{a}^{b} \sqrt{1+\left[\frac{d y}{d x}\right]^{2}} d x$$

Where, a and b are the limits of the function.The function is y = 3x² + 4, which is a quadratic function.

Therefore, the derivative of y can be obtained as follows:$$\frac{d y}{d x} = 6x$$

Substitute the derivative of y into the formula to obtain:$$\int_{a}^{b} \sqrt{1+(6 x)^{2}} d x$$Integrating,

we have:$$\int_{a}^{b} \sqrt{1+36 x^{2}} d x$$Let u = 1 + 36x², then du/dx = 72x

which implies dx = 1/72 du/u^(1/2).

Hence, the integral is transformed to:

$$\frac{1}{72} \int_{1}^{37} u^{1 / 2} d u$$

Therefore, the integral is equal to:

$$\frac{1}{72}\left[\frac{2}{3} u^{3 / 2}\right]_{1}^{37}

= \frac{1}{72}\left[\frac{2}{3}\left(37^{3 / 2}-1\right)\right] \approx \boxed{21.14}$$T

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Answer:

z=−159

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

3

z+18=−35

Step 2: Subtract 18 from both sides.

1/3z+18−18=−35−18

1/3z=−53

Step 3: Multiply both sides by 3.

3*(1/3z)=(3)*(−53)

z=−159

Answer:

cost of bread = $3.25

Cost per egg = $0.2

Step-by-step explanation:

Given the following :

Cost of a loaf of bread and 6 eggs = $4.45 - - (1)

Cost of a loaf of bread and a dozen eggs ( 12 eggs) = $5.65 - - - (2)

Let x = cost of bread and y = cost of egg

x + 6y = 4.45

x + 12y = 5.65

Subtract 1 from 2

6y - 12y = 4.45 - 5.65

-6y = - 1.2

y = $0.2

Hence,

From x + 6y = $4.45

Where y = $0.2

x + 6($0.2) = $4.45

x + $1.2 = $4.45

x = $4.45 - $1.2

x = $3. 25

Hence, cost of bread = $3.25

Cost per egg = $0.2

Let's consider what the problem wants us to find:

Let's find the fractional part:

  ⇒ the fractional part is equal:

       \(\frac{degree-covered-by-angle}{total-angle} =\frac{100}{180} =\frac{2*2*5*5}{2*2*3*3*5} =\frac{5}{3*3} =\frac{5}{9}\)      

 Answer: The angle 100 degrees covers 5/9 of a semicircle.

Let's find the angle measure in radians:

⇒ we know that \(2\pi\) radians are equal to 360 degrees

   ⇒ to convert any degree to radians, you must multiply \(\frac{\pi }{180}\)

       so \(100*\frac{\pi }{180} =\frac{100\pi }{180} =\frac{10}{18} \pi =\frac{5}{9} \pi\)

Answer: The angle 100 degrees in radians is \(\frac{5}{9} \pi\)  which in terms of \(\pi\) is

5/9

Hope that helps!

Answer:

Let c = number of calories.

\( \frac{120}{ \frac{3}{4} } = \frac{c}{2} \)

\( \frac{3}{4} c = 240\)

\(c = 320\)

Ans 960

Step-by-step explanation:

120/3/4 = x/6 Cross multiply: 0.75x = 720 Divide each side of the equation by 0.75 x = 960.

The solution to the initial value problem is: y(t) = -8 * 1 + (-1) * e^(-5t), y(t) = -8 - e^(-5t).

To solve the initial value problem y'' + 5y' = 0, with y(0) = -8 and y'(0) = -5, we start by finding the auxiliary equation associated with the differential equation.

The auxiliary equation is obtained by substituting y = e^(rt) into the differential equation, giving r^2 + 5r = 0.

Factoring out r, we have r(r + 5) = 0.

Setting each factor equal to zero, we find two possible values for r:

r = 0 and r = -5.

These values correspond to two linearly independent solutions: y1(t) = e^(0t) = 1 and y2(t) = e^(-5t).

Using the initial conditions, we can find the specific solution. Plugging in t = 0, we have:

y(0) = -8 = C1 * 1 + C2 * 1,

y'(0) = -5 = C1 * 0 + C2 * (-5).

Solving these equations simultaneously, we find C1 = -8 and C2 = -1.

Therefore, The solution to the initial value problem is:

y(t) = -8 * 1 + (-1) * e^(-5t),

y(t) = -8 - e^(-5t).

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