A twelve-sided die with sides labeled through will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than ? Write your answer as a fraction in simplest form.
Complete Question:
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?
Answer:
[tex]P(T) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
Number of Sides = 12
Required
Probability of obtaining a side greater than 10
We start by listing out the sample space;
[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]
[tex]n(S) = 12[/tex]
Next, we list out digits greater than 10; Represent this with T
[tex]T = \{11,12\}[/tex]
[tex]n(T) = 2[/tex]
Probability of T is calculated as follows;
[tex]P(T) = \frac{n(T)}{n(S)}[/tex]
[tex]P(T) = \frac{2}{12}[/tex]
Divide the numerator and denominator by 2
[tex]P(T) = \frac{1}{6}[/tex]
Hence, the required probability is [tex]\frac{1}{6}[/tex]
A company's division registered a loss of (-$12,480) while producing 80 identical parts.
What was the loss per part?
Answer:
loss per part is $(-156).
Step-by-step explanation:
Given total loss = $(-$12,480)
no of identical parts produced = 80
let the loss per part be x
then, total loss for 80 parts = 80* loss per part = 80x
given that total loss = $(-$12,480)
80x = $(-$12,480)
x = $(-$12,480) /80 = $(-156)
Thus, loss per part is $(-156).
Here negative sign implies that it is a loss.
which ordered pair represent a function
Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5).
Hope this helps you with your question.
write in the exanded form 5614789236
5,000,000,000
600,000,000
10,000,000
4,000,000
700,000
80,000
9,000
200
30
6
Answer:
5.614789236 x 10^9.
Step-by-step explanation:
The exponent is 9 because there are 9 digits after the 5.
Sum of the numerator and denominator of the fraction is 4 more than twice the numerator . If the numerator and denominator is deceased by 3.they are in the ratio 2:3. Determine the fraction
The system is:
[tex]\frac{x}{y}=2x + 4[/tex]
[tex]\frac{x-3}{y-3}=\frac{2}{3}[/tex] (y musn't be 3).
Solving for y in the first equation gives you:
[tex]y=\frac{x}{2x+4}[/tex]
Simplify the second equation to:
[tex]2(y-3)=3(x-3)[/tex]
Insert y you solved in first equation to second equation to get:
[tex]\frac{x}{x+2}-6=3x-3[/tex]
Further simplification gets you to quadratic equation:
[tex]x=(3x+3)(x+2)\implies x=3x^2+9x+6[/tex] [tex]3x^2+8x+6=0[/tex].
Solving quadratic equation using quadratic formula gives you two solutions of x in complex plane:
[tex]x_1=\boxed{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}[/tex]
[tex]x_2=\boxed{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}[/tex]
Insert the found x-es into first equation to find the y-s:
[tex]y_1=\boxed{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex]
[tex]y_2=\boxed{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex]
So there are two solutions (points) [tex]P_1(x_1,y_1),P_2(x_2,y_2)[/tex] both in [tex]\mathbb{C}[/tex] plane.
And the two fractions are:
[tex]\frac{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex].
[tex]\frac{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex].
Hope this helps.
does anyone know this?
Answer:
[-8, 7]
Step-by-step explanation:
The range is the set of values used for the y-coordinates of the all the points of the function.
The highest value of the function is at point (8, 7), so the greatest value y has is 7.
The lowest point of the function is at point (-3, -8), so the least value of y is -8.
Range: [-8, 7]
Answer:
[7, -8]
Step-by-step explanation:
Hello!
The range of a graph is found from looking at the graph from top to bottom
The highest point is 7 and the lowest point is -8
The range would be [7, -8]
Hope this helps!
There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?
Answer:bend
Step-by-step explanation:s s
Venetta knows that ≈.. To convert 5 mi/h to km/h, she multiplies 5 mi/h by .. What error does Venetta make?
Answer: The km need to be over the mi.
Step-by-step explanation: The kilometers in this equation are supposed to be used as the denominator, and the miles as the numerator.
Km/mi
10. 5.8 - (0.25 X 1.5)
Just need 3 4 and 5 where 3.852 is thanks
Answer:
HOPE it will be right... Good luck
I need answer ASAP !:/
Answer:
-10.50 is NOT an integer
Step-by-step explanation:
-10.50 is not an integer number, it includes half of the unit (0.50)
Each side of a square is(7+3x) units. What is the perimeter of the square
Answer:
4(7+3x)
Step-by-step explanation:
We know that a square has all equal sides, otherwise it's not really a square. So if each side of the square is 7+3x units, then the perimeter (which is always side+side+side+side) would be 4 times as great. In other words, since the perimeter is side+side+side+side, and since that multiplication is repeated addition, 4(7+3x) is the same as (7+3x)+(7+3x)+(7+3x)+(7+3x)
A can takes 20 minutes to cover a distance of
15 km calcolate its speed in km/hr
1 hour = 60 minutes.
20 minutes / 60 minutes = 1/3 of an hour.
20 minutes x 3 = 60 minutes = 1 hour
15 km in 20 minutes x 3 = 45 km per hour
Speed = 45 km/hr.
Answer:
[tex]\huge\boxed{v = 45\ km/hr}[/tex]
Step-by-step explanation:
Given:
Time = t = 20 mins = 20/60 = 0.33 hrs
Distance = S = 15 km
Required:
Speed = v = ?
Formula:
v = S/t
Solution:
v = 15 / 0.33
v = 45 km/hr
What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
Answer:
The answer is "GK=37, GH=14, and JK=19 ".
Step-by-step explanation:
In the question, an attachment file is missing.so, please find its attached file.
Given values:
GJ=4x+2
HK=6x-1
GK =37
Find:
HJ=?
GK = GJ+JK
= GJ+(HK-HJ)
= 4x+2+((6x-1)-x)
= 4x+2+6x-1-x
=
9x+1...(a)
Solve equation (a) and put the value of x in the equation:
=9(4)+1
=36+1
=37
find GH and JK=?
Given:
GK=37
Formula:
GH = GJ-HJ
= 4x+2- x
= 3x+2....(b)
Solve equation (a):
GK= 9x+1
37=9x+1
36=9x
x=4....(c)
put the value of equation (b) in equation (c)
GH = 3x+2
= 3(4)+2
= 12+2
= 14
Formula:
JK= HK-HJ
= 6x-1- x
= 5x-1
put the value of x in the above equation:
= 5(4)-1
= 20-1
=19
If the lines A and B are parallel then find the value of x
Answer:
Step-by-step explanation:
Solve for x (please show work if possible)
please help i will give brainliest for whomever answers correctly A doctor sees 4 patients each hour. Use the equation y = 4x, where the y-value represents the many patients that the doctor may see in x hours. Graph, if necessary. How many patients will the doctor see in a 5-hour day?
Answer:
20 paitents
Step-by-step explanation:
In the word problem since x represents the number of hours all you have to do is plug in 5 for the x-value.
y = 4 (5)
once you do that, multiply 4 x 5 and you get 20.
Evaluate the expression for the given value of x. 3.5x − 3.5 for x = 3
Solve 19 and 25, will give BRAINLIST!!
Answer:
9.333
Step-by-step explanation:
[tex]19. \: cross \: multiplying \\ 6a = 7 \times 8 \\ 6a = 56 \\ \frac{6a}{6} = \frac{56}{6 } \\ a =9.333[/tex]
25. Cross multiplying
nx1 =0.19x12
n=2.28
Answer:
[tex]\Large \boxed{{19. \ a \approx 9.33}} \\ \\ \Large \boxed{25. \ n=2.28}[/tex]
Step-by-step explanation:
(19)
[tex]\displaystyle \frac{6}{8} =\frac{7}{a}[/tex]
Cross multiply.
[tex](6)(a)= (7)(8)[/tex]
[tex]6a=56[/tex]
Divide both sides by 6.
[tex]\displaystyle a = \frac{56}{6}=\frac{28}{3}[/tex]
[tex]a \approx 9.33[/tex]
(25)
[tex]\displaystyle \frac{1}{0.19} =\frac{12}{n}[/tex]
Cross multiply.
[tex](1)(n)=(0.19)(12)[/tex]
[tex]n=2.28[/tex]
9×1= 9 9×2 =18 9×3 =27 9×4 =36 9×5 =45 9×6 =54 9×7 =63 9×8 =72 9×9 = 81 9×10= 88 Pls share the logic behind this!
A rice cooker costs $3m. A kettle is $35 cheaper. Find the cost of the kettle.
(Give your answer in terms of m.)
Pls answer
Answer:
2,999,875
Step-by-step explanation:
3,000,000m -35=2,999,875
what is 4 times the square root of 2 times 6 times the square root of 18
Answer: 144
Step-by-step explanation:
Two of the angles in a triangle measure 35 and 8. What is the measure of the third angle?
Answer:
137°
Step-by-step explanation:
Total angle of a triangle:
a + b + c = 180°
35 + 8 + c = 180°
c = 180° - 43° = 137°
A line segment on the coordinate plane has endpoints (2,4) and 4,y). The midpoint of the
segment is point (3,7). What is the value of y?
11
0-2
5
10
Answer:
10
Step-by-step explanation:
Given:
End points of a line segment are given as:
(2, 4) and (4, y)
Mid point of the line segment is: (3, 7).
To find:
Value of y = ?
Solution:
If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then mid point of the line ([tex]x, y[/tex]) is given by The Mid Point Formula:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Here,
[tex]x_1 = 2\\x_2 = 4\\y_1 = 4\\y_2 = y\\[/tex]
[tex]x =3\\y=7[/tex]
Putting all the value to find [tex]y[/tex]:
[tex]7 = \dfrac{4+y}{2}\\\Rightarrow 4+y=14\\\Rightarrow \bold{y =10}[/tex]
So, the value of [tex]y[/tex] is 10.
1
Marty saws off
of a wooden board. Then, he saws off
Alu
of what is left of the board. Finally,
1
he saws
off of this remaining piece of board. What fraction of the original board is left?
Answer:
Fraction of the original board left = [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
Let the length of the board is = l feet
Marty saws off [tex]\frac{1}{5}[/tex] of a wooden board.
Length of the board left = l - [tex](\frac{1}{5})l[/tex]
= [tex](\frac{4}{5})l[/tex] feet
He saws off [tex]\frac{3}{4}th[/tex] of the remaining board,
Board left = [tex](\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})][/tex]
= [tex]\frac{4}{5}l-\frac{3}{5}l[/tex]
= [tex]\frac{1}{5}l[/tex] feet
He finally saws off [tex]\frac{1}{3}[/tex]rd of the remaining board.
Board left = [tex]\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l[/tex]
= [tex](\frac{1}{5}-\frac{1}{15})l[/tex]
= [tex]\frac{2}{15}l[/tex] feet
Fraction of the original board left = [tex]\frac{\frac{2}{15}l}{l}[/tex]
= [tex]\frac{2}{15}[/tex]
-12 divided by 3 times (-8 + (-4) squared -6) +2 please help
Answer:
Step-by-step explanation:
[tex]\frac{-12}{3} (-8+(-4)^{2} -6)+2[/tex]
-4(-8+16-6)+2
-4(2)+2
-8+2
-6
F(x)= | x-4 | - 9, find f(-7)
Answer:
2
Step-by-step explanation:
Given
f(x) = | x - 4 | - 9, then
f(- 7) = | - 7 - 4 | - 9
= | - 11 | - 9 ( absolute value returns a positive value )
= 11 - 9
= 2
This is my homework and the last question confuses me,it's a simple sequence but I don't understand, could anybody help me out?
Answer:
already in order
Step-by-step explanation:
.00001, .0002, .003, .04, .5
Answer:
1^-5=1 2^-4 =6 3^-3=9 4^-2=8 5^-1=5
Step-by-step explanation:
All u have to do is focus on the negative sign!
There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the
probability that it will rain tomorrow and the volleyball game will be postponed?
O 14%
O 35%
O 50%
o
90%
How would I solve this question? I need to solve for s.
Answer:
4
Step-by-step explanation:
2r = 5s/2 - s/4 ⇒ bring to common denominator2r = 10s/4 - s/42r = 9s/49s = 8r ⇒ multiply both sides by 4s = 8r/9 ⇒ divide both sides by 9s = 8/9*9/2 ⇒ replace r with 9/2, simplifys = 4 ⇒ answerDoes g(x)=(x-5)/x have a 5 in its domain?
G(X) = (X - 5)/X
Yes... The domain of G(X) can be any value, EXCEPT zero, because we cannot have a fraction with zero in the denominator
Formalizing the domain of this function: D = {X / X ≠ 0}
(for the sake of information, when X tends to zero, the function tends to +∞)