A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.

What is the probability that the sum is less than 6?

0.563
0.714
0.625
0.750

Answers

Answer 1

Answer:

0.625

Step-by-step explanation:

Since there are 4 options each time the spinner is spun, there are a total of [tex]4\cdot 4=16[/tex] non-distinct sums possible when we spin it twice.

Out of these, the possible sums that meet the condition (less than 6) are 2, 3, 4, and 5 (since the smallest sum possible is 1+1=2).

Count how many ways there are to achieve each of these sums:

[tex]1+1=2\\\\1+2=3\\2+1=3\\\\2+2=4\\1+3=4\\3+1=4\\\\2+3=5\\3+2=5\\4+1=5\\1+4=5[/tex]

Totally there are 10 ways to achieve a sum less than 6. Therefore, the desired probability is [tex]\frac{10}{16}=\frac{5}{8}=\boxed{0.625}[/tex]


Related Questions

QUICK QUESTION! PLEASE HELP ME

Answers

Y = x/3 because I searched it up

Answer:

y=3/x

Step-by-step explanation:

HELP ME !!! Find the perimeter of the polygon​

Answers

Answer:

50 units

Step-by-step explanation:

this is a walk around problem

the sides of the triangles are 19, 13, and 18

perimeter = 19 + 13 + 18

p = 50 units

By using determinant method solve following questions 3x+4y+5z=18. 2x-y-8z=13. 5x-2y+7z=20​

Answers

Answer:

Copied text is stored in the clipboard for 1 hour.

3x+4y+5z=18,2x−y+8z=13,5x−2y+7z=20 D= ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−7+16)−4(14−40)+5(−4+5) =3(9)−4(−26)+5(1)=27+104+5=136 D 1 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 18 13 20 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =18(−7+16)−4(91−160)+5(−26+20) =18(9)−4(−69)+5(−6)=162+276−30=408 D 2 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 18 13 20 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(91−160)−18(14−40)+5(40−65) =3(−69)−18(−26)+5(−25)=−207+468−125=136 D 3 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 18 13 20 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−20+26)−4(40−65)+18(−4+5) =3(6)−4(−25)+18(1)=18+100+18=136 Now, x= D D 1 = 136 408 =3 y= D D 2 = 136 136 =1 z= D D 3 = 136 136 =1 Hence, the solution for the system is (3,1,1).

A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
x+0
x+6
x-6
x+4​

Answers

Answer: x+6

Step-by-step explanation:

What is the y-intercept of the line whose equation is y=−3x ?

Answers

Answer:

y=mx+b

b is the y intercept

b=0, so 0 is the y intercept

Step-by-step explanation:

Find the 8th term of the geometric sequence 7,−21,63,

Answers

Answer:

8th term is -15309

Step-by-step explanation:

[tex]{ \boxed{ \bf{u_{n} = a( {r}^{n - 1} ) }}} \\ { \tt{u_{8} = 7( {( - 3)}^{8 - 1}) }} \\ { \tt{u_{8} = 7( - 2187)}} \\ { \tt{u _{8} = - 15309}}[/tex]

r is the common difference, r = -21/7 = -3

Answer:

a₈ = - 15309

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{7}[/tex] = - 3 , then

a₈ = 7 × [tex](-3)^{7}[/tex] = 7 × - 2187 = - 15309

Please hurry I will mark you brainliest

What is the slope of the line with an x-intercept of 4 and a y-intercept of -37

Answers

Step-by-step explanation:

Slope is [tex]\frac{rise}{run}[/tex], so the slope is [tex]\frac{y}{x}[/tex], which also equals [tex]-\frac{37}{4}[/tex].

Which choice is equivalent to the expression below?

Answers

Answer:

C. [tex]4\sqrt{7} -4x\sqrt{7}[/tex] is correct

Steps:

[tex]4\sqrt{7} -3\sqrt{7}x-x\sqrt{7} \\\\4\sqrt{7} -3\sqrt{7} x-\sqrt{7} x\\\\4\sqrt{7} +(-3\sqrt{7} x-\sqrt{7} x)\\\\4\sqrt{7} -4\sqrt{7} x[/tex]

Answer:

C. 4√7 - 4x√7

Step-by-step explanation:

4√7 - 3x√7 - x√7

combine like terms

4√7 - 4x√7

Daniel incorrectly solved the equations shown. Explain what he did wrong in each situation and then solve both equations correctly. 16x2 - 9 = 16
V16x2 - 19 - + 16
4x - 3 - +4
4x = +7
* = 14
(a)
IN
y3 - 1 = 7
= 8
(b)
y = 2

Answers

Step-by-step explanation:

the scanned description is very hard to understand.

so I think what happened :

16x² - 9 = 16

then the first error :

sqrt(16x²) - sqrt(9) = sqrt(16)

that is wrong, as you cannot split a + or - operation inside a sqrt function into + or - separate sqrt results of the parts.

so, correctly, the only possible transformation involving sqrt for both sides :

sqrt(16x² - 9) = sqrt(16)

but it would be even easier to clean up the various constant numbers with each other.

so,

16x² - 9 = 16

16x² = 25

and now we trashes the square root

sqrt(16x²) = sqrt(25)

4x = 5

x = 5/4 or x = -5/4

and I cannot see or understand for my life what the second equation was, as Daniel did something wrong, so I cannot deduct the original equation out of a supposedly wrong

y³ - 1 = 7

Is the statement at the top true or false

Answers

Answer:

false

Step-by-step explanation:

these angles are horizonal

help please area geometry !!

Answers

Answer:

37.5 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh  where b is the base and h is the height

A = 7.5 * 5

A = 37.5 cm^2

Answer:

A = 37.5 cm²

Step-by-step explanation:

The area of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7.5 and h = 5 , then

A = 7.5 × 5 = 37.5 cm²

A fencing company charges $22per foot to install a wood fence around a rectangular pool area that is 20 feet wide and 38 feet long? pls help me

Answers

We will need to find the perimeter here, since in this context we’re talking about fencing around a rectangular pool. The formula for perimeter is P = 2L + 2W. The L and W can stand for length/width which is the same as wide/long in this problem. I will now plug in the numbers. P = 2(38) + 2(20) which gives us 76 + 40. 76 + 40 is 116. Therefore, the perimeter is 116 ft.

I know that the fencing company charges $22 per foot. I can multiply 116 x 22 to give me $2552. The answer is $2552.

GIVING BRAINLIEST Graph and solve the inequality y>-|x-5|-1

Answers

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

2

y

=

2

+

5

y

=

3

Or

(

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}

Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.

Answers

Answer:

-13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-11w - 4 = 7

3w - 10

Step 2: Solve for w

[Addition Property of Equality] Add 4 on both sides:                                     -11w = 11[Division Property of Equality] Divide -11 on both sides:                                w = -1

Step 3: Evaluate

Substitute in w:                                                                                                 3(-1) - 10Multiply:                                                                                                             -3 - 10Subtract:                                                                                                             -13

Please help explanation if possible

Answers

Answer:

y=-3x+5

Step-by-step explanation:

concepts: y=mx+b is slope intercept equation formula

m=slope

b= y intercept

Therefore we need to find the slope and y intercept

first find slope

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

let y2 be 2

let y1 be -4

let x2 be 1

let x1 be 3

[tex]\frac{2-(--4)}{1-3}[/tex]

6/-2 = -3

m=-3

slope is -3

y= -3x+ b

we need find y intercept now

just plug in (1,2) into that equation

2=-3(1)+b

b=5

y=-3x+5

Here are the ages (in years) of 12 professors at a college.
51, 34, 56, 48, 37, 39, 59, 53, 52, 45, 3367
What is the percentage of these professors who are younger than 50?

=__%

Answers

Answer:

50%

Step-by-step explanation:

6 professors younger than 50 years = 6/12 = 50

Answer:

%50

Step-by-step explanation:

If you count the number of proffessors that are under 50, there are six. If there are 12 proffessors then it would be 1/2. One half in percentage is %50.

Pls give Brainliest!

made this question if you can able to make ​

Answers

Answer:

the process is correct

Step-by-step explanation:

hope u like it

Which is the inverses I still don’t get this

Answers

Answer:

C.

[tex]{ \tt{f(x) = \frac{12}{x} - 18}} \: and \: { \tt{g(x) = \frac{12}{x + 18} }}[/tex]

Step-by-step explanation:

[tex]{ \tt{f(x) = \frac{12}{x} - 18}}[/tex]

Let inverse be m:

[tex]{ \tt{m = \frac{12}{x} - 18 }} \\ { \tt{x(m + 18) = 12}} \\ { \tt{x = \frac{12}{m + 18} }} \\ \\ { \boxed{ \sf{f {}^{ - 1} (x) = g(x) = \frac{12}{x + 18} }}}[/tex]

QUESTION 1: Diagram NOT accurately drawn.

OAP is a triangle.
O to A=a
O to B=b

P is the point on AB such that AP: PB = 3:1

(b) Find OP in terms of a and b.
Give your answer in its simplest form.​

Answers

Answer:

1/4a+3/4b

Step-by-step explanation:

OP=OA+AP

OA=a

AP=3/4AB

AB=-a+b

thus AP=3/4(-a+b) which is-3/4a+3/4b

OP=a-3/4a+3/4b thus 1/4a+3/4b

answer 3 blanks please super easy geometry rack up those points

Answers

1. 2

2. The X axis

3. 1 up and 5 left (-5, 1)

Find the value of each measure.

Answers

Answer:

39

Step-by-step explanation:

4x+7=9x-33

4x-9x=-33-7

-5x=-40

x=8

4×8+7=39

39





The awnser is 39 because of math

Given that ABCD is a rhombus, what is the value of x?
B
C.
(3x + 12)
D
A. 19.5
B. 78
C. 15.8
D. 26
E. 52
F. Cannot be determined

Answers

Answer:

Diagonals of a rhombus intersect at right angles

Therefore, [tex]\angle AOD=90[/tex]

[tex]Now,in\: \bigtriangleup AOD[/tex]

[tex]\angle OAD+\angle AOD+\angle ADO=180[/tex]

[tex]x+90+3x+12=180[/tex] [tex]\leftarrow [combing \: like\: terms][/tex]

[tex]4x+102=180\\-102 \: -102[/tex] [tex]\leftarrow [subtracting \:102 ][/tex]

[tex]\frac{4x}{4} =\frac{78}{4} \leftarrow [dividing \: by\: 4][/tex]

[tex]x=19.5[/tex] [tex]\Longleftarrow[/tex]

OAmalOHopeO

HELP ME SOLVE THIS PLEASE

Answers

Use PEMDAS as you go

How many sides does a regular polygon with 45° exterior angles have?
Numerical answer only.

Answers

Answer:

8 sides (octagon)

Step-by-step explanation:

sum of exterior angles is always 360º

360 / 45 = 8 sides

Answer:

8 sides

Step-by-step explanation:

If all the angles of the polygon are the same, divide the angle by 360 and u get the answer.

Find an explicit rule for the nth term of the arithmetic sequence.

-9, -4, 1, 6, ...

Answers

Answer:

hope it's helpful

Step-by-step explanation:

glad to help

what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie

A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft

Answers

Answer:

C = 6.28 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d where d is the diameter

C = 3.14(2)

C = 6.28 ft

Given :

what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie

A. 6.28ft

B. 12.56ft

C. 5.14ft

D.3.14ft

To Find :

The circumference of the circle

Solution :

Formula for getting the circumference

[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]

Given data :

Diameter = 2 ft

π = 3.14

Radius = diameter/2 = 2 ft/2 = 1 ft

So the circumference is

Circumference = 2πr

Circumference = 2 × 3.14 × 1

Circumference = 6.28 ft

Therefore, the perimeter is 6.28 ft

Answer with explanation

Answers

Answer: a and d

Step-by-step explanation:

(to find all points of discontinuity, set denominator equal to zero and solve)

[tex]x^2-7x+10=0\\\\[/tex]

(to factor, find two numbers when added together equal -7 and when multiplied together equal 10)

-2 + -5 = -7

-2(-5) = 10

-2 and -5 are the two numbers

[tex](x-2)(x-5)=0\\\\x-2=0\\x=2\\\\x-5=0\\x=5\\\\x=2,5[/tex]

Giving brainliest! Graph and solve the inequality y≤2|x+2|-7

Show the vertex, whether it’s a dotted or solid line, and axis of symmetry, also where the graph should be filled in!

Answers

Answer:

hope this helps u......

Answer:

Step-by-step explanation:

I don't know why the graphs I have been putting in look like that. simpler way of putting it is the line is where the red and black meet. if that makes sense. I'm sorry if is doesn't. I hope this helps tho.  

A) 60° B) 85° C) 96° D) 40°​

Answers

Answer:

A)60°

Step-by-step explanation:

a straight line is 180° then

if a line bisect it in to a half it become 90°

then

the exterior angle of a triangle is equal to the sum of two interior angles

this means 150°-90°=60°

Answer: A) 60

Step-by-step explanation:

The line at the top signifies 180 degrees, as does any straight line. The 150° that intersects with P tells you that P must be 30 degrees, as 180 - 150 = 30.

The three angles of a triangle must always equal 180°. Angle R tells you that it’s 90°, shown by the square instead of a curve. If you subtract the value of P we found before, and the value of R we just found, you get your answer.

180 - 30 - 90 = 60.

Describe the process of creating a linear equation using two points and the point-slope form

Answers

Answer:

First find the slope of the line = (y2 - y1) / (x2 - x1)   where the 2 points are (x1, y1 and (x2, t2).  

Then  substitute the values of  the slope (m) and one of the points   into the point-slope formula

y - y1 = m(x - x1)

Step-by-step explanation:

Find the slope using the slope formula  

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

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