A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 4 or greater than 8 in a single spin?

Answer:

C

Step-by-step explanation:

calculate the slope m of the 2 points from the origin and equate, since they lie on the same line

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

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )

m = [tex]\frac{k-0}{2-0}[/tex] = [tex]\frac{k}{2}[/tex]

repeat with

(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )

m = [tex]\frac{32-0}{k-0}[/tex] = [tex]\frac{32}{k}[/tex]

equating the 2 slopes

[tex]\frac{k}{2}[/tex] = [tex]\frac{32}{k}[/tex] ( cross- multiply )

k² = 64 ( take square root of both sides )

k = [tex]\sqrt{64}[/tex] = 8

Answer:

0

Step-by-step explanation:

10x-9x=20-20

x=0

Answer:

(100,10)

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

1.) Step plug it in ---}  4*2 + 7 (4) - 10

2.) Step multiply what u have so

4 x 2= 8

7 x 4 = 28

3. )Put it back ---}  8+ 28 - 10

4.) Solve from there.

8+28=36

36 - 10 =26

Answer: 57

Step-by-step explanation: First have to put x=4 and do multiplication in brackets then do subtraction and add at the end to get final answern action pien r

Answer:

59 degrees

Step-by-step explanation:

Inscibed angles in a circle encompass TWICE their value of arc degrees

2x = 118

x = 59 degrees

Answer: 10x^2-8x+16

Step-by-step explanation:

Use the formula (b/2)^2

then plug in values:

(-8/2)^2 = -4^2 = 16

ans: 10x^2-8x+16

hope this helps

[tex]\Large\textsf{\textbf{Answer\::}}[/tex]

-1, 260

[tex]\large\textsf{\textbf{Calculations\;:}}[/tex]

First , take a look at the signs of the numbers we're asked to multiply .

One of them is negative , and the other one is positive .

If we have a negative number times a positive number , the product is a positive number .

Multiply :

(-315) × 4

-1, 260 (Ans)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

The amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Henry has a box in the shape of a square pyramid.

He wants to wrap the box with paper.

If the base has side lengths of 5 in. and the lateral height is 8 in.

Then the amount of the wrapping paper that he needs to cover the pyramid will be

[tex]\rm Area = 4 \times \dfrac{1}{2} \times 5 \times 8 + 5 \times 5\\\\\\Area = 80 + 25\\\\\\Area = 105 \ in^2[/tex]

Thus, the amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.

More about the geometry link is given below.

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Answer:

h=6

Step-by-step explanation:

according to Pythagorean theorem

h²=p²+b²

p²= 10²-8²

h²=100-64 by question (p=h)

h√36

h=6

Answer: We minutes hand moves for 20minutes ,it makes 120° central angle

Length=x/360×2πr

=120/360×2×22/7×42

On simplyfing

Length=88cm

Step-by-step explanation:

The surface area of the cone is the amount of space on it, the radius of the cone is about 13 feet

The given parameters are:

The surface area is calculated using:

[tex]A =\pi r(r + \sqrt{h^2 + r^2})[/tex]

So, we have:

[tex]A =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]

Substitute 2167 for A

[tex]2167 =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]

Evaluate the sum

[tex]2167 =\pi r(r + \sqrt{10r^2})[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]689.78 =r(r + \sqrt{10r^2})[/tex]

Evaluate the exponent

[tex]689.78 =r(r + 3.16r)[/tex]

Evaluate the sum

689.78 =r(4.16r)

Open the bracket

689.78 = 4.16r²

Divide both sides by 4.15

r² =165.8125

Take the square root of both sides

r = 13 (approximated)

Hence, the radius of the cone is about 13 feet

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Answer:

[tex]distance = \sqrt{(3 - 3) {}^{2} } + ( - 2 - 0) {}^{2} \\ = \sqrt{0 + 4} \\ = \sqrt{4 } \\ = 2unit[/tex]

The equation that the given graph of the system of equations solves is: 1/3x + 1 = 2x - 4.

Where m is the slope and b is the y-intercept, the equation of a line in slope-intercept form is expressed as y = mx + b.

Equation of the Blue Line:

Slope (m) = change in y / change in x = 2/1 = 2

y-intercept (b) = -4.

Equation: y = 2x - 4

Equation of the Red Line:

Slope (m) = change in y / change in x = 1/3

y-intercept (b) = 1

Equation: y = 1/3x + 1

The equation that the graph of the systems of equations solve would be: 1/3x + 1 = 2x - 4.

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The slope as evaluated from the given pair of points is; Slope, m = 5.

Slope of given Points

The slope of a line defined by two points simply refers to the rate of change of the function given by the line.

Hence, slope, m = (28 -18)/(4 -2)

Slope, m = 10/2

Slope, m = 5

Credit To: adioabiola https://brainly.com/question/19592921

#1

Slope

#2

Slope

#3

Slope

#4

Slope

CODE IS

The estimate that 2.8 million square feet of the building is used for office space is not reasonable

From the plan, the width of the building is:

Width = 230 feet

The building has a circular area, and it has four floors

So, the estimate of the building area is:

Area= 4πR²

So, we have:

Area= 4 * 3.14 * 230²

Evaluate

Area= 664424

The above value cannot be approximated to 2.8 million

Hence, the estimate used for office space is not reasonable

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Answer:

b

Step-by-step explanation:

used graphing calculator

Answer:

x = -1

y = -3

Step-by-step explanation:

[tex]\begin{cases}2x+3=y+4\\ 2+y=3x+2\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}2x-y=1&\left( 1\right) \\ 3x-y=0&(2)\end{cases}[/tex]

(2) - (1) ⇒ (3x - y) - (2x - y) = 0 - 1 ⇒ x = -1

(1) ⇒ 2x - y = 1 ⇒ y = 2x - 1 = 2(-1) - 1 = -3

Answer:

(a) 43%

(b) 49%

Step-by-step explanation:

Add a total column and a total row to the table:

[tex]\begin{tabular}{| c | c | c | c |}\cline{1-4} & Playing video games & Watching TV & Total\\\cline{1-4} Girls & 45 & 108 & 153\\\cline{1-4} Boys & 84 & 63 & 147\\\cline{1-4} Total & 129 & 171 & 300\\\cline{1-4}\end{tabular}[/tex]

Percentage of students who prefer video games:

[tex]=\dfrac{\textsf{total no. of students who play video games}}{\textsf{total no. of students}} \times \sf 100\%[/tex]

[tex]=\sf \dfrac{129}{300} \times 100 \%[/tex]

[tex]= \sf 43 \%[/tex]

Percentage of students who are boys:

[tex]=\dfrac{\textsf{total no. of students who are boys}}{\textsf{total no. of students}} \times \sf 100\%[/tex]

[tex]=\sf \dfrac{147}{300} \times 100 \%[/tex]

[tex]= \sf 49 \%[/tex]

Answer:

total num playing video games/total no of studen×100

a) 43%

b) 49%

The age of Marissa and her younger brother.

We know that the older brother's age is 18 and he is twice older than the younger brother.

Let the unknown be "x"

[tex] x=\frac{18}{2} [/tex]

[tex]\large\boxed{\sf{x=9 \: years}}[/tex]

Now, we know that the younger brother's age is 9 and Marissa is 3 years older than him.

Let the unknown be "x"

[tex]x=9 + 3[/tex]

[tex]\large\boxed{\sf{x=12 \: years}}[/tex]

Therefore, Marissa is 12 and her younger brother is 9

Answer:

Marissa's age = 12

Younger brother's age = 9

Step-by-step explanation:

Let age of Marissa be x, and her younger brother's y.

Equations formed :

Finding age of younger brother using Equation 2 :

⇒ 2y = 18

⇒ 2y/2 = 18/2

⇒ y = 9 years old

Substituting y in Equation 1 :

⇒ x = y + 3

⇒ x = 9 + 3

⇒ x = 12 years old

Marissa's age = 12

Younger brother's age = 9

Answer:

[tex]\sf Sin \ \theta = \dfrac{5}{13}\\\\Cos \ \theta =\dfrac{12}{13}[/tex]

Step-by-step explanation:

            [tex]\sf =\dfrac{BC}{AB}\\\\ =\dfrac{5}{13}[/tex]

[tex]\sf Cos \ \theta = \dfrac{adjacent \ side \ of \ angle \ A}{hypotenuse}\\[/tex]

       [tex]\sf =\dfrac{AC}{AB}\\\\= \dfrac{12}{13}[/tex]

Answer:

d=-21

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

360-(118+54)

Answer:

90°

Step-by-step explanation:

Taking ΔVWX :

Answer:

y = 1/3*x -3

Step-by-step explanation:

Method 1:

Grab two random points from the line.

(0,-3) and (3,-2)

Using the Point-Slope Form solve for m.

(-3 - (-2)) = m * (0 - (3))

-1 = m * (-3)

m = 1/3

Turning Point-Slope form into Slope intercept Form.

(y - (-3)) = 1/3 * (x - 0)

y + 3 = 1/3x

y = 1/3 - 3

Method 2:

Look at the y-intercept since y-int becomes our b. b = -3

From the y-int count rise/run as thats our Slope m. m = 1/3

Slope-intecept Form:

y = 1/3*x -3

Answer:

y=1/3x-3

rise/run= 1/3

y-int. is -3

Step-by-step explanation:

The exercise has to do with the Graphing of a Cosecant Function. From the graph, the completed statements have been indicated below.

The completed statements are:

It is to be noted that the graph is of the function 2Sec (3x) – 1.

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Answer:

2pi/3

corresponding cosine function is 2.

1 unit down.

graph 2sec(3x) – 1

Step-by-step explanation:

Answer:

[tex]\sqrt{54}[/tex] = 7.3484  , to the nearest 10th , then is  7.35

Step-by-step explanation:

well, the shape is a trapezoid, a trapezoid has two parallel sides only, the parallel sides are called "bases", and the distance between the parallel sides is its "height".

so in the trapezoid above, it has two parallel sides, 20 m and 8 m, and the height or distance between both is 7 m, so

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=20\\ b=8\\ h=7 \end{cases}\implies \begin{array}{llll} A=\cfrac{7(20+8)}{2}\implies A=\cfrac{7(28)}{2} \\\\\\ A=7(14)\implies A=98~m^2 \end{array}[/tex]

Answer:

1500 people.

Step-by-step explanation:

100% of the fans are not known,

So let the total number of fans or 100% of the fans be X

SINCE 10% ••••••••••• 150

100% ••••••••••••X

we're going to Cross multiply

= 10×X = 100 × 150

10X = 15000

dividing bothsides by 10

10X/10 = 15000/10

X = 1500 people.

Answer:

m<S = 68 degrees.

m<D = 112 degrees

Step-by-step explanation:

Opposite angles of a parallelogram are equal so:

4x - 4 = 3x + 14      

4x - 3x = 14 + 4

x = 18.

So m < S = 4(18) - 4

= 72-4

= 68 degrees.

Angles on the same side of a parallelogram are supplementary, so

m < D = 180 - 68

= 112 degrees.

Answer:

1728 units cubed

Step-by-step explanation:

V = LWH
V = 12x16x9
V = 1728