What is the five-number summary of this data set?

{403, 276, 649, 786, 274, 189, 654, 652, 572}

Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
(choices)
189 274 275 276 572 652 653 654 786

The subfuctions of the piecewise function f(x) are linear functions

The matching values of the domain values with the range values are

x       f(x)

-4      -7

-2      -8

0       -2

2       4

4      -4

8     -12

The function is given as:

[tex]f(x) = \left[\begin{array}{cc}x-3&x\le-4\\3x-2&-4 < x\le 2\\-2x+4&x > 2\end{array}\right][/tex]

The above definition means that:

Using the above highligts, we have:

f(-4) = -4 - 3 = -7

f(-2) = 3(-2) - 2 = -8

f(0) = 3(0) - 2 = -2

f(2) = 3(2) - 2 = 4

f(4) = -2 * 4 + 4 = -4

f(8) = -2 * 8 + 4 = -12

So, the matching values are

x       f(x)

-4      -7

-2      -8

0       -2

2       4

4      -4

8     -12

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[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =\stackrel{radias}{angle}\\[-0.5em] \hrulefill\\ r=\frac{8}{3}\\ \theta =\frac{\pi }{2} \end{cases}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{8}{3} \right)^2~~}{2}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{64}{9} \right)~~}{2} \\\\\\ A=\cfrac{~~\frac{32\pi }{9} ~~}{\frac{2}{1}}\implies A=\cfrac{32\pi }{9}\cdot \cfrac{1}{2}\implies A=\cfrac{16\pi }{9}[/tex]

Answer:

-23

Step-by-step explanation:

15 + 2n = -31

15 + 2n - 15 = -31 - 15

2n = -46

n = -23

Answer:

a. 1

Step-by-step explanation:

[tex]\frac{x+2}{x} =\frac{6}{2} =3[/tex]

The ratio is 1:3

[tex]x+2=3x[/tex]

[tex]2=3x-x\\2=2x\\[/tex]

x = 2/2 = 1

Hope this helps

Answer:

x²-5x+6 =0

x²-3x-2x+6 =0

x(x-3)-2(x-3)=0

(x-2)(x-3) =0

x-2 =0, x-3 = 0

x=2 , x = 3

x = 2 or 3 answer

Answer:

im sorry I don't know I didn't do this in school

Answer:

the slope intersection is xy

y=-3x+4

Hope it helps.

Do comment if you have any query.

[tex]x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}[/tex]

Answer:

The value of the expression is 21

Step-by-step explanation:

You need to plug 5 into z

Expression:

5z-4

5(5) - 4

Notice that 5 shall be multiplied meaning 5 x 5

25-4

= 21

It's 21 since 5 times 5 is 25 subtracted 4 is 21

thought it was something else

You would show the answer choices for this one. 5/8 x 3/8 is 15/64 or about 0.234375.

Answer:

10920.176064km

Step-by-step explanation:

Circumfrence = 2*pi*radius

radius = diameter/2

r = 3476/2

c=2(pi)r

c=2(pi)(3476/2)

c=10920.176064

Answer:

Step-by-step explanation:

I think we should add all the numbers when you multiply them by 5 then you will get 8.8

Answer:

The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.

Step-by-step explanation:

Redwood Taxi:

$2.00 + $1.00(6)

 $2.00 + $6.00 = $8.00

Max's Taxi Service:

$5.00 + $0.50(6)

 $5.00 + $3.00 = $8.00

Easier Solution:

Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.

Answer:The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.

Step-by-step explanation:

Redwood Taxi:

$2.00 + $1.00(6)

$2.00 + $6.00 = $8.00

Max's Taxi Service:

$5.00 + $0.50(6)

$5.00 + $3.00 = $8.00

Easier Solution:

Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.

Answer:

312

Step-by-step explanation:

First we find the measure of the basea and that is 144 becuase 12x12

To find one side we do b*h over 2 and that is 7x12/2 which is 42 then we know that there are 4 more of those sides and we get 42*4 168

When we add 144+168 we will get 312

Answer:

A=167⁰, B=13⁰

Step-by-step explanation:

A=167⁰

B=13⁰

I HOPE IT HELPED YOU

Answer:

a° = 167°, b° = 13°

Step-by-step explanation:

since the angles in a triangle add to 180°, we can work out b°

90° (right angle) - 77° = 167°

180° - 167° = 13°

since the angle of a straight line is also 180°, a° would be 180° - 13° which is 167°.

Answer:

Step-by-step explanation:

Calculating slope

Y-intercept : (0, 3)

Equation of line

Inequality

Answer:

x=3

Step-by-step explanation:

15 divided by 5= 3

5(3)=15

so x=3

Answer:

Fracción

3/4

Fracciones equivalentes

6/8

Decimal

0,75

Answer:

3/4.

Step-by-step explanation:

0.75 = 75/100

= 3/4

Answer:

$19.90

Step-by-step explanation:

Cost at Best Computers

Cost at Val-U-Mart

Money saved

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

[tex]\rightarrow[/tex]Now, clearly it is forming a triangle.

So, in triangle ABC,

[tex]\rightarrow[/tex][tex]\sf{Tan50° \:= \: \frac{BC}{AC}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 \:= \: \frac{BC}{50}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 ×50\:= \: BC}[/tex]

[tex]\rightarrow[/tex][tex]\sf{59.5m\:= \: BC}[/tex]

[tex]\rightarrow[/tex]Hence, BC = 59.5m

So, BD(total height of the tower)[tex]\sf{ = \:BC+CD}[/tex]

[tex]\sf{= \:59.5+1.65}[/tex]

[tex]\sf{=\: 61.15m}[/tex]

Therefore, total height of the tower =[tex]\sf\purple{ 61.15m.}[/tex]

________________________________

Hope it helps you:)

Answer:

61.24 m to the nearest hundredth.

Step-by-step explanation:

tan 50 = H / 50  

H =  50 tan 50

Height of the tower = H + height of the woman

= 50 tan 50 + 1.65

= 61.2377 m

Answer:

45 boxes.

Step-by-step explanation:

30 / 2/3

= 30 * 3/2

= 90/2= 45

Answer:

—7/3

Step-by-step explanation:

1) Choose two points on it.

like (1,3) and (4,—4)

2) slope is

[tex]slope = \frac{y2 - y1}{x2 - x1} = \frac{3 + 4}{1 - 4} = \frac{7}{ - 3} = - \frac{7}{3} [/tex]

Answer:

-7/3

Step-by-step explanation:

Slope formula:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

The two points on the graph are (1,3) and (4,-4).

Substitute into the formula:

[tex]\frac{-4 - 3}{4 - 1}[/tex]

Simplify:

[tex]\frac{-4 - 3}{4 - 1} = \frac{-7}{3}[/tex]

The statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true values and some false values.

Contingency is a statement in which there are some true and some false values for every value of its propositional variables.

The statement given is (p and (p => q)) => q), or in more symbolic way, it is: ((p ∧ (p → q)) → q)

Now, let we evaluate it for p = False, and q = False.

Then we get:

(p → q) = T (as False implied False)

Now, (p ∧ (p → q))  is F and T which is F

Then, ((p ∧ (p → q)) → q)  is F  → F which is True, or T.

Thus, p = F,and q = F makes  ((p ∧ (p → q)) → q)  = T

Similarly, the truth table for the statement (p and (p => q)) => q) or simply  ((p ∧ (p → q)) → q) is:

p q ((p ∧ (p → q)) → q)

F F T

F T T

T F T

T T T

Since all the values are true, thus, this isn't a contingency.

Thus, the statement (p and (p => q)) => q) is not a contingency because of it evaluating to only true while a contingency statement includes both true  values and some false values.

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#SPJ1

Answer:
Base: 15.1 ft
Height: 11.1 ft

Step-by-step explanation:

(15.1 x 11.1)/2 = 84.07

84.07 ≈ 84

This is the closest answer.

Answer:

Top-left system: (3,5)

Bottom-right

system: (-1,0)

Step-by-step explanation:

One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.

Answer:

If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D

And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2

The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16

So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to

(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32

Combining like terms gives the polynomial:

y = x3 +10x2 + 32x + 32

If A is not 1, then y = A(x3 +10x2 + 32

Answer:

The relative minimum is (3,-4) and the relative maximum is (-2,1)

Step-by-step explanation:

The first step is to take the derivative of f(x)

By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12

The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3

Put -2 and 3 on a sign chart and determine the behavior for both of those functions

The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).

The next step is to find the f(x) values or y values of your two points

By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1

Since there was interval given, I cannot find the absolute extremas of this function.

The change that will occur to the mean, median, mode of the data matched as follows:

1. e

2. b

3. d

4. a

5. c

To find the mean, the sum of all the values is divided by the number of values.

Given the data, 90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65, therefore:

1. 35 is an extreme value, so it is an outlier. If we remove 35, the greatest change will be on the mean. (e)

2. If we remove 90, 67 will have the highest frequency. This means the mode of the data will change to 67. (b)

3. If 76 is removed from the data, the median of the data would be 79. (d)

4. If we remove 100, the range of the data would be, 94 - 35 = 59. (a)

5. If we remove 94, the mean of the data = 1108/15 = 73.87

This means the mean of the data will change to 73.87 if we remove 94. (c)

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