What is the third quartile of the set of data shown below?
34, 75, 26, 81, 65, 38, 49
OA. 49
OB. 75
C. 65
OD. 81
SUBMIT
HELP!! ASAP

Answer:

Step-by-step explanation:

perp. -3/2

y + 2 = -3/2(x - 4)

y + 2 = -3/2x + 6

y = -3/2x + 4

answer is D

Therefore, the simplest form of the radical expression is (-7 + 2sqrt(10)).

To simplify the expression, we can use the conjugate of the denominator to rationalize the denominator:

(sqrt(2) + sqrt(5)) / (sqrt(2) - sqrt(5)) * (sqrt(2) + sqrt(5)) / (sqrt(2) + sqrt(5))

= (2 + 2sqrt(10) + 5) / (2 - 5)

= (-7 + 2sqrt(10))

To know more about expression,

https://brainly.com/question/12114262

#SPJ11

Answer:

m∠Z = 150°

Step-by-step explanation:

This shape is an irregular pentagon, meaning its interior angles still sum to that of a normal pentagon (one in which all angles are equal).

You can calculate the sum of the interior angles for any polygon with the following formula:

(n - 2) * 180° where n is the number of sides.

We have a pentagon so our shape has 5 sides.

(n - 2) * 180° = (5 - 2) * 180° = 3 * 180° = 540°

Now that we know that interior angle sum, we can form an equation with the unknown angles on one side, and 540° on the other side.

(x) + (x - 4) + (2x + 14) + (x + 12) + (3x - 26) = 540°

Simplify, and solve for x.

8x - 4 = 540

8x = 544

x = 68°

The question asks for m∠Z so we substitute 68° for x in ∠Z's expression.

2(x) + 14 = 2(68) + 14 = 136 + 14 = 150°

Therefore, m∠Z = 150°

Answer: A. (1,4) and (3,12)

Explanation: These ordered pair are the only ones which fit into the given equations when substituted.

(1,4)
4 = 4(1)

4 = 4

4 = 1^2+3

4 = 4

(3,12)

12 = 4(3)

12 = 12

12 = 3^2+3

12 = 12

Answer:

A. (1, 3) and (3, 12).

Step-by-step explanation:

y = 4x

y = x² +3

As y is common on left side:

x^2 + 3 = 4x

x^2 - 4x + 3 = 0

(x - 1)(x - 3) = 0

x  = 1, 3.

When x = 1, y = 4*1 = 4

and when x = 3 , y = 12.

Answer:

Area of each sector = (1/8)π(14²)

= 49π/2 ft²

Total area of 3 pieces = 147π/2 ft²

= 147(22/7)(1/2) ft²

= 231 ft²

Answer: 13/4

Step-by-step explanation: it was 3.25 and that as a fraction is 13/4

3/4 + ( 1/3 × 6 ) + 1/2 =

3/4 + 2/4 + ( 2 ) =

3 + 2/4 + 8/4 =

5/4 + 8/4 =

5 + 8/4 =

13/4

Answer:

200

Step-by-step explanation:

Answer:

\((x_4,y_4) = (1.5,-2\frac{1}{2})\)

Step-by-step explanation:

Given

\((x_1,y_1) = (-3,3)\)

\((x_2,y_2) = (1.5,3)\)

\((x_3,y_3)=(-3,-2\frac{1}{2})\)

Required

Determine the coordinate of the 4th point

From the given parameters, we can see that the rectangle is either horizontal or vertical.

This is because:

\(x_1 = x_3 = -3\)

and

\(y_1 = y_2 = 3\)

To calculate the fourth point, we simply make use of:

\(x_2 = x_4\) and \(y_3 = y_4\)

Substitute 1.5 for x2 in \(x_2 = x_4\)

\(1.5= x_4\)

\(x_4=1.5\)

Substitute -2 1/2 for y3 in \(y_3= y_4\)

\(-2\frac{1}{2}= y_4\)

\(y_4 = -2\frac{1}{2}\)

Hence, the 4th point is:

\((x_4,y_4) = (1.5,-2\frac{1}{2})\)

Answer:

She was considered the first computer programmer.

Step-by-step explanation:

She wrote about one called the Analytical Engine, and even though it was never built, it came to her conclusion that the computer could follow a series of simple instructions to perform a complex question.

The input value that causes "Goodbye" to be output next is any negative integer value.

The code snippet provided reads an integer value from the input using cin and assigns it to the variable x. Then it enters a while loop and checks if x is greater than or equal to zero. If it is, the loop executes the code inside the curly braces and reads another integer value into x.

Since the condition for the while loop is x >= 0, the loop will keep executing as long as x is non-negative. Therefore, to exit the loop and reach the line that outputs "Goodbye", an input value of a negative integer needs to be provided.

So the input value of "Goodbye" in output next is any negative integer value.

To know more about input value:

https://brainly.com/question/12963288

#SPJ4

Answer:

181.74

Step-by-step explanation:

I hope you meant the paycheck was $1398.. if not then this is wrong.

So you take 1398 and multiply it by 0.13 and then you get 181.74. So Jim donated 181.74 this month.

A lag compensator is a control system component that is used to improve the performance and stability of a feedback control system. It is typically implemented in systems where there is a significant time delay between the input and output signals. In comparison to a proportional-integral (PI) controller, a lag compensator provides specific advantages and functions.

The lag compensator introduces a phase lag in the system's frequency response, hence its name. This phase lag helps to stabilize the system by reducing the gain at higher frequencies. By introducing this phase lag, the compensator improves the stability and robustness of the control system. It also helps to improve the system's response time and reduce the overshoot and oscillations. In contrast, a PI controller combines proportional and integral control actions to improve system performance. The integral action helps to eliminate steady-state errors and improve the system's ability to track setpoints accurately. It provides better control over systems with complex dynamics and non-linearities. The PI controller also helps to improve disturbance rejection and can handle varying system parameters effectively. Overall, while both the lag compensator and PI controller aim to enhance system performance, they employ different control actions and have specific applications. The lag compensator is particularly useful in systems with significant time delays, whereas the PI controller is well-suited for systems that require accurate setpoint tracking and disturbance rejection.

Learn more about integral (PI) controller here:

https://brainly.com/question/31963246

#SPJ11

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.

For more questions related to equation

https://brainly.com/question/2228446

#SPJ1

Answer:

Step-by-step explanation:

f). Equation to be used for the output values → y = \(\frac{1}{2}x+1\)

   x        -4            -2             0              2             4

   y        -1              0             1               2             3

g). Points given in the input-output values table will lie on the line graphed,

   y = \(\frac{1}{2}x+1\)

h). y = ax + b is a linear equation because all the solution points of the given equation lie on a straight line.

We can condense the left side as

\(\cos(x) \cos(3x) - \sin(x) \sin(3x) = \cos(x + 3x) = \cos(4x)\)

Then the equation reduces to

\(\cos(4x) = 0\)

\(4x = \pm \cos^{-1}(0) + 2n\pi\)

\(4x = \pm \dfrac\pi2 + 2n\pi\)

\(x = \pm \dfrac\pi8 + \dfrac{n\pi}2\)

where \(n\) is any integer.

In the interval \([0,2\pi]\), we get the solutions

\(x \in \left\{\dfrac\pi8, \dfrac{3\pi}8, \dfrac{5\pi}8, \dfrac{7\pi}8, \dfrac{9\pi}8, \dfrac{11\pi}8, \dfrac{13\pi}8, \dfrac{15\pi}8\right\}\)

Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house.

The shortest distance between Caroline’s and Mattie’s house is 10 blocks.

If we assume this as a right angle triangle then height(BA) is 6 blocks long and base(BC) is 8 blocks

long.

Then, the shortest distance between Caroline’s and Mattie’s house will be the hypotenuse(AC) of this

triangle.

So, by applying Pythagoras theorem:

(AC)² = (BA)² + (BC)² = (6)²+(8)² = 36+64 = 100

Thus, AC = √100 = 10 block

Hence, the shortest distance we can take from Caroline’s house to reach Mattie’s house is 10 blocks.

To learn more about the Pythagoras theorem click here https://brainly.com/question/343682

#SPJ4

Answer:

c is 35

d is 13

Step-by-step explanation:

I multiplied both sides, and then simplified the equation.

( plz give me brainliest, that would be most appreciated! )

well, the shirt was on sale for 20% off, so that means that off the regular price of $40, that's

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8\hspace{5em}\stackrel{ 40~~ - ~~8 }{\text{\LARGE 32}}\)

now, let's apply the 5% taxation to that

\(\stackrel{\textit{5\% of 32}}{\left( \cfrac{5}{100} \right)32}\implies 1.6\hspace{5em}\underset{ \textit{final price for Lydia} }{\stackrel{ 32~~ + ~~1.6 }{\text{\LARGE 33.60}}}\)

Answer:

Step-by-step explanation:

(D) $33.60

understanding the steps for problem.
Price . . . $40.00    
off 20% (-)8.00 = $32.00    
. . . . . . . . . . . . 5% (+)  1.60 = $33.60

answer D. $33.60

       

Answer:

y = -2

Step-by-step explanation:

Hope it helped. Good luck

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

To learn more about cost click here, brainly.com/question/14566816

#SPJ11

Answer:

100 km/h

Step-by-step explanation:

Distance = Speed * Time

Let x be the distance:

x = 80 * 5

x = 400 km

400 / 4 = 100 km/h

Please mark as brainliest

Answer:

Step-by-step explanation:

The point-slope form of equation of a line is:

                          y - y₀ = m(x - x₀)

where (x₀, y₀) is the point which the line passes through and m is the slope of the line

The product of slopes of two perpendicular lines is  -1

so if given lines slope is 10 them:

    10·m = -1

        m = -0.1

(6, -4)     ⇒    x₀ = 6,  y₀ = -4

Therefore:

               y - (-4) = -0.1(x - 6)

               y = -0.1x + 0.6 + (-4)

                y = -0.1x - 3.4

This is an example of selecting a combination of items from two groups without replacement. We can use the binomial coefficient formula to calculate the number of ways to select 5 science books out of 12, and 3 math books out of 9:

C(12,5) is the number of ways to select 5 science books out of 12, and C(9,3) is the number of ways to select 3 math books out of 9.

The total number of ways to select 5 science books and 3 math books is the product of these two binomial coefficients:

C(12,5) * C(9,3) = 792 * 84 = 66528

The total number of ways to select any 8 books out of 21 is C(21,8) = 20358520.

So the probability of selecting 5 science books and 3 math books is:

P(5 science and 3 math) = (C(12,5) * C(9,3)) / C(21,8) ≈ 0.006318

Using a TI-83 Plus/TI-84 Plus calculator, we can calculate this as follows:

Press the "math" button

Scroll down to "Prob" and press enter

Scroll down to "nCr" and press enter

Enter 12 for "n" and 5 for "r", and press enter

Multiply the result by the binomial coefficient for selecting 3 math books: 792 * 84 = 66528

Divide by the total number of ways to select 8 books: 66528 / 20358520 ≈ 0.006318

Round to at least six decimal places: P(5 science and 3 math) ≈ 0.006318

To know more about binomial coefficient, visit: brainly.com/question/3836597

#SPJ4

Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

Answer:

The answer is 12,658,538

Step-by-step explanation:

53 times 6,987 = 370,311

370,311 times 34 = 12,590,574

12,590,574 plus 67964 = 12,658,538

Answer:

12,658,538

Step-by-step explanation:

I used a calculator

the answer is no because you cannot click yes it is wrong

Use of the two-tailed test is advised. In order to compare the average across two years,

A random sample of 25 national capitals had their air quality measured in 2013, and the same cities had been visited again in 2014. We want to compare the average air quality between the two years using this data.

A one-sided or two-sided test should be used, right? Describe your thinking.

The two-tailed test should be used. We want to contrast the average across two years. If the test parameter calculated for the two years differs, it would be interesting to know. (There is no exact comparison to show if one year is better or worse than the other.)

To learn more about test parameters click here:

brainly.com/question/13978790

#SPJ4

In the given graph, the length of the segment "AB" is 6.32units.

We have to find length of segment "AB", which means we have to find the distance between the end-points "A" and "B",

From the graph, the end-points of the segment "AB" are :

A ⇒ (-2,4) and B ⇒ (4,2),

So, the length(distance) between these two points can be calculated by the formula : √((x₂-x₁)² + (y₂-y₁)²);

Considering (-2,4) as (x₁, y₁) and (4,2) as (x₂, y₂);

We get,

Length(distance) = √((4-(-2))² + (2-4)²);

Length = √(6² + (-2)²); = √(36 + 4);

Length = √40 ≈ 6.32 units.

Therefore, the length of the segment is 6.32 unis.

Learn more about Distance here

https://brainly.com/question/14451972

#SPJ1

Using arithmetic and the information provided, there were 6 persons at the party.

The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.

Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food

=  $656/ $107.75 = 6 persons

Learn more about arithmetic: https://brainly.com/question/2171130