Answers
Answer:
The probability of rolling a 3 in a 6 number dice is 1/6. Thereafter, p of rolling a non 3 is 5/6.
Alternatively, A number cube (dice) has six sides labelled 1 through 6. Hence, a fair dice has a probability of 1/6 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 1/6
Explaination:
Rolling two six-sided dice: Each dice has 6 equally likely outcomes, so the sample space is 6×6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2×2×2 or 8 equally likely outcomes.
Related Questions
To solve the equation x + 5 = 3x - 4, Jasper graphs the equations f (x) = x + 5 and g(x) = 3x – 4. What is the solution to the equation
x + 5 = 3x – 4?
Answers
Answer:
4.5
Step-by-step explanation:
beginning- x+5=3x-4
combine like terms- 9=2x
divide- x= 4.5
The solution of equation is 4.5
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have Equation
x +5 = 3x -4
Now, solving the equation for x we get
x+ 5 = 3x -4
x -3x = -4 -5
-2x = -9
x= -9/ (-2)
x= 9/2
x= 4.5
Thus, the solution of equation is 4.5
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4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
three shirts cost $200, find the cost of each shirt and sweater.
Answers
Answer:
Form an equation:
let x be the price of a shirt
Then, the price of a sweater would be x - 5
So you would have:
4(x - 5) + 3x = 200
simplify
4x - 20 + 3x = 200
7x - 20 = 200
add 20 to both sides
7x = 220
divide both sides by 7
x = about 31.43
That means the cost of the sweater would be 31.43 - 5 = 26.43
Find the value of X from the image attached
Answers
Answer:83
Step-by-step explanation: A triangle is 180 degrees in total so if you take 90+45=135 then you subtract 52 from 135 and you get 83
so x=83
What is the slope y+2=1/4(x-3)
Answers
Answer:
[tex]m=\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]y+2=\frac{1}{4}(x-3)[/tex]
Required
Find the slope
[tex]y+2=\frac{1}{4}(x-3)[/tex]
Subtract 2 from both sides
[tex]y+2-2=\frac{1}{4}(x-3) - 2[/tex]
[tex]y=\frac{1}{4}(x-3) - 2[/tex]
Open bracket
[tex]y=\frac{1}{4}x-\frac{1}{4}*3 - 2[/tex]
[tex]y=\frac{1}{4}x-\frac{3}{4} - 2[/tex]
Take LCM
[tex]y=\frac{1}{4}x+\frac{-3 - 8}{4}[/tex]
[tex]y=\frac{1}{4}x+\frac{-11}{4}[/tex]
[tex]y=\frac{1}{4}x-\frac{11}{4}[/tex]
An equation has the form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparing: [tex]y = mx + b[/tex] and [tex]y=\frac{1}{4}x-\frac{11}{4}[/tex]
[tex]m=\frac{1}{4}[/tex]
So, the slope is 1/4
Andy's little brother has a toy box that
contains 2 blue race cars, 1 green race car,
and 1 red race car. Andy removes 2 race cars
from the toy box without looking. If Andy
removes a blue car first and does not replace
it, which best represents the sample space
for the cars Andy removes?
Answers
Answer:
c.
Step-by-step explanation:
The solution is Option C.
Sample space is set A = { blue , blue } , { blue , green } , { blue , red }
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the sample space be represented as set A
Now , the equation will be
The number of blue cars = 2 blue cars
The number of green cars = 1 green car
The number of red cars = 1 red car
So , the total number of cars = 2 + 1 + 1 = 4 cars
Now , Andy removes 2 race cars from the toy box without looking
Let the first removed car be a blue car
So , the second car can have any value including a blue , green or white
And , the sample space is given by set A
Set A = { blue , blue } , { blue , green } , { blue , red }
Hence , the set is { blue , blue } , { blue , green } , { blue , red }
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OMG PLS— THIS IS DUE AT 8PM—
Answers
Answer:
so good
Step-by-step explanation:
so good
simplify 5(x + 7) anybody
Answers
You multiply 5 by everything in the brackets. :)
if your monthly salary is $2,543, what is your annual salary
Answers
2543 x 12 = 30,516
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x- axis.
y = Sqrt x , y = 0, and x = 81
V = ? (Type an exact answer in terms of pi)
Answers
Answer:
[tex]V=47239.2\pi [/tex]
Step-by-step explanation:
We are given that
[tex]y=\sqrt{x}[/tex]
y=0
[tex]x=81[/tex]
When y=0 then x=0
Using shell method
Volume of solid
[tex]V=2\pi \int_{a}^{b}xf(x)dx[/tex]
Using the formula
Volume of solid
[tex]V=2\pi \int_{0}^{81} x(\sqrt{x})dx[/tex]
[tex]V=2\pi \int_{0}^{81}x^{\frac{3}{2}}dx[/tex]
[tex]V=2\pi [\frac{2}{5}x^{\frac{5}{2}}]^{81}_{0}[/tex]
[tex]V=2\pi\times \frac{2}{5}((81)^{\frac{5}{2}})[/tex]
[tex]V=47239.2\pi [/tex]
A line that includes the point (10, 0) has a slope of
5
What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
I need helppppppp !!!!!!! Due in 5 mins
Answers
9514 1404 393
Answer:
y = 1/5x -2
Step-by-step explanation:
When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)
y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form
_____
Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.
Mia used 1/7 of an ounce of nuts to make 1/5 of a cake. How many ounces of nuts are needed to make a whole cake?
Answers
Answer:
For this case we can apply the following proportional rule:
Step-by-step explanation:
1/7 nuts. x
------------ = ----------
1/5 cake. cake
and solving for x we got:
x = 1/7
------- = 5/7 nuts
1/5
then the answer for this case would be 5/7 nuts
your welcome
Decimal equivalent of 143%
Answers
Answer:
1.43 as a decimal
Step-by-step explanation:
%143 = 1.43
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answers
Answer:
Step-by-step explanation:
slope (m) = 1
y-intercept (c) = - 1
Writing in slope intercept form
y = mx + c
y = x - 1
hope it helps :)
how many solutions does the following system of equations have y=2x+2 & 2y=4x+4
Answers
Step-by-step explanation:
The answer is : Infinitely many solutions (because they lie in each other)
Which statement completes step 6 of the proof?
Coordinate plane with line f at y equals 3 times x plus 1 and line g at y equals negative one third times x plus 1. Triangle JKL is at J negative 1 comma negative 2, K 0 comma 1, and L 0 comma negative 2. Triangle J prime K L prime is at J prime negative 3 comma 2, K 0 comma 1, and L prime negative 3 comma 1.
Step 1 segment KL is parallel to the y-axis, and segment JL is parallel to the x-axis.
Step 2 ΔJKL was rotated 90° clockwise to create ΔJ'KL'. Point K did not change position, so it remains point K. Therefore, ΔJKL ≅ ΔJ'KL'.
Step 3 segment K L prime is perpendicular to the y-axis, and segment J prime L prime is perpendicular to the x-axis.
Step 4 segment JK lies on line f and has a slope of 3.
Step 5 segment J prime K lies on line g and has a slope of negative one third.
Step 6 ?
A. The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
B. The slopes of segment JK and segment J prime K are congruent; therefore, lines f and g are parallel.
C. The product of the slopes of segment KL and segment K L prime is −1; therefore, lines f and g are perpendicular.
D. The slopes of segment KL and segment K L prime are congruent; therefore, lines f and g are parallel.
Answers
Answer:
a) the product of slopes of segment jk and segment j prime k is -1 therefore line f and g are perpendicular
Answer:
The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
Step-by-step explanation:
Just took the test and its correct!! :)
To find the quotient of 3 divided by 1/6 multiply 3 by what
Answers
Answer:
I am not fully sure but i think you multiply it by 6
Step-by-step explanation:
Because 3/ [tex]\frac{1}{6}[/tex] is 18 and if you multiply 3 times 6 you get 18
I dont understand this at all, I need the right anwser and Explanation please.
Answers
Answer:
a = 7; b = ⁷/2
Step-by-step explanation:
Recall the acronym, SOHCAHTOA
We would apply trigonometric ratio formula in finding a and b.
Reference angle [tex] (\theta) [/tex] = 60°
Opposite side to the reference angle = [tex] \frac{7\sqrt{3}}{2} [/tex]
Adjacent side = b
Hypotenuse = a
✔️To find a, we would apply SOH, which is:
[tex] sin (\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin (60) = \frac{\frac{7\sqrt{3}{2}}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{3}{2}}{a} [/tex] (sin 60 = √3/2)
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2a} [/tex]
Cross multiply
[tex] \sqrt{3}*2a = 7\sqrt{3}*2 [/tex]
[tex] 2a\sqrt{3} = 14\sqrt{3} [/tex]
Side both sides by √3
[tex] 2a = 14 [/tex]
Divide both sides by 2
a = 14/2
a = 7
✔️To find b, apply TOA, which is:
[tex] tan (\theta) = \frac{opp}{adj} [/tex]
Plug in the values
[tex] tan (60) = \frac{\frac{7\sqrt{3}{2}}{b} [/tex]
[tex] \sqrt{3} = \frac{\frac{7\sqrt{3}{2}}{b} [/tex] (tan 60 = √3)
[tex] \sqrt{3} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \sqrt{3} = \frac{7\sqrt{3}{2b} [/tex]
Cross multiply
[tex] \sqrt{3}*2b = 7\sqrt{3} [/tex]
[tex] 2b\sqrt{3} = 7\sqrt{3} [/tex]
Divide both sides by √3
[tex] 2b = 7 [/tex]
Divide both sides by 2
b = 7/2
HELP PLSSSSSS!!! answer all pls
Answers
Answer:
See below.
Step-by-step explanation:
STEP 1: If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.
STEP 2: The terms decrease by 3/16 for each step.
RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16
The operation for increasing by the same amount every step is addition.
The operation for decreasing by the same amount every step is subtraction.
STEP 3: The rule is that the terms decrease by 3/16 at each step.
So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.
Reformat them and you have 1, 13/16, 5/8.
So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.
an expression to show the sum of g and h reduced by 11
Answers
Answer:
(g + h) - 11
Step-by-step explanation:
Sum of g and h : g + h
Sum of g and h reduced by 11: (g + h) - 11
50 percent of blank is 30
Answers
Answer:
50%of balnk is 30
the blank is 15 because
50x30/100 gives you what you don't have
so 50x30/100=15
The blank would be 15
Step-by-step explanation:
pls answer if you know the answer
Jordell made 45% of his shots he took during the basketball game. If he attempted 40 shots how many times did he score?
Answers
Answer:
18
Step-by-step explanation:
hope this answers your question
help please, how do I answer these types of questions?
Answers
what is laugh???????
Answers
Answer:
Nevetni
Step-by-step explanation:
It meaning hungary : nevetni
Answer:
Expression of people when they are happy
Step-by-step explanation:
Hope it help
Mark brainliest
Thanks
pls help me my dads gonna hit me if i dont get this done
Answers
Answer:
(I can't answer if its greater than, less than, or equal to because you didn't
specify the number I have to compare to)
2. [tex]\frac{35}{8}[/tex]
3. greater than
4. [tex]\frac{1}{9}[/tex]
5. [tex]\frac{1}{6}[/tex]
6. [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
-x - 3y= -7 please help me solve
Answers
As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided. Part 1: Point-Slope form of the linear equation Part 2: Slope-intercept form of the linear equation Part 3: The general form of the linear equation
Answers
Answer:
Step-by-step explanation:
y = x
Slope of line = 1
Slope of perpendicular to line = -1
Point-slope equation for line of slope -1 through (2,2):
y-2 = -(x-2)
Slope-intercept equation:
y = -x + 4
Standard form:
x+y = 4
Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto
the other using a rotation and a dilation.
M
N
LO
R
Q
Timo concluded:
"It's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations,
so the quadrilaterals are not similar."
Answers
Answer:
c
Step-by-step explanation:
The two quadrilaterals LMNR and PQNO are not similar. Timo tried to map one figure onto the other using rotation and dilation methods. He concluded that they are not similar because the rigid transformations like rotation preserve congruence and dilation will not change the shape but it changes its size. So, this results in no congruence.
What is rigid transformation?Rotations, reflections, and translations are known as rigid transformations. They do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.What is dilation?Dilation is not a rigid transformation, since they change the size of a figure. Dilation would not change the shape but changes the sizeThis would give us a similar, but not congruent figure.Here Timo used rotation and dilation on the two quadrilaterals LMNR and PQNO. So, this resulted in a change in the size of the quadrilaterals. Because of this, Timo concluded that "it's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar".
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give five equivalent fractions for 4/7
Answers
Answer:
8/14, 12/21, 16/28, 20/35, 40/70
Step-by-step explanation:
Please help need ASAP
Answers
Answers:
side AT = 36.122997 (approximate)side TR = 14.692547 (approximate)angle T = 66 degrees===============================================
Explanation:
We'll use the cosine ratio to find side AT
cos(angle) = adjacent/hypotenuse
cos(A) = AR/AT
cos(24) = 33/AT
AT*cos(24) = 33
AT = 33/cos(24)
AT = 36.1229971906996
AT = 36.122997 approximately
---------------------------------
We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.
a^2 + b^2 = c^2
(AR)^2 + (TR)^2 = (AT)^2
33^2 + (TR)^2 = (36.1229971906996)^2
1089 + (TR)^2 = 1304.8709260393
(TR)^2 = 1304.8709260393 - 1089
(TR)^2 = 215.8709260393
TR = sqrt(215.8709260393)
TR = 14.6925466151821
TR = 14.692547 also approximate
---------------------------------
We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.
However, it's easiest to take advantage of the fact that angles A and T are complementary.
So,
A+T = 90
T = 90-A
T = 90-24
T = 66 degrees
This value is exact.
help me pls i need help asap
Answers
Answer:
no babe
Step-by-step explanation: