Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?
2 occurred 3times
[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]
[tex]\\ \sf\longmapsto |S|=18[/tex]
Now
[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]
[tex]\\ \sf\longmapsto |E|=3[/tex]
we know
[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]
3x + 5 = x - 3
What is the solution to this equation? Show all the steps you used to solve this equation.
Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
Algebra 1 need help ASAP
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
pls ❤ and give brainliest pls
Find the length of the arc.
We know
Length if arc=L[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]
A) 60° B) 85° C) 96° D) 40°
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.
HELP FAST PLEASE!!! NEED ANSWER IN LESS THAN 10 MINUTES!! WILL GIVE BRAINLIEST!!
1. Compute -2 to the power of -3 × -3 to the power of -2.
2. Compute 2^10 x 2^8 x 2^6 x 2^4 x 2^2 x 2^-1 x 2^-3 x 2^-5 x 2^-7 x 2x-9.
3. Compute 2^16 x 4^-8 x 8^4 x 16^-2
TYSM for your help!!
1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888
2. -294912
3. 16
On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.
Find the mean travel time for these students.
4, 11, 14, 9, 4, 8
Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.
Answer:
Step-by-step explanation:
Volume of a cone formula is
[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:
[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us
V = 733 units cubed
PLEASE HELP! Simplify 2x^2+4xy+2y^2
Answer:
(x+y)(2x+2y)
Step-by-step explanation:
=2x^2 + 2xy + 2xy + 2y^2
=2x(x+y) + 2y(x+y)
=(x+y)(2x+2y)
What is the value of the expression 53.5-5? please explain
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
3. Which word phrase can be used to represent the algebraic expression 4(21+ n)? (2 point) 4 plus the sumn of 21 and a number » O4 times the product of 21 and a number » ne the sum of 21 and a number x 4 less than the sum of 21 and a number : O4 timeſ the
Answer:
4 times the sum of 21 and a number
Step-by-step explanation:
4(21+ n)
The four is being multiplied by the sum of 21 and n
The circumference of a circle is 17pi ft. what is the area, in square feet?
Answer:
72.25 pi ft^2
Step-by-step explanation:
The circumference of a circle is
C = 2*pi*r
17 pi = 2*pi*r
Divide each side by 2pi
17 pi / 2pi = 2 pi r / 2pi
17/2 = r
We want to find the area
A = pi r^2
A = pi ( 17/2) ^2
A =289/4 pi ft^2
A = 72.25 pi ft^2
Instructions: Find the missing side of the triangle.
30
х
50
X=
Answer:
x = 40
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40
Find the standard deviation for the set of data.
{5,4, 18, 14, 22, 20, 6, 16, 12}
The vertex is 2,-4 what is the parabola equation
Answer:
y + 4 = (x - 2)^2
Step-by-step explanation:
The vertex form of the equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically. If all we know is the vertex (2, -4), then the desired equation is:
y + 4 = a(x - 2)^2
If there is no vertical stretching or compression, then the equation becomes:
y + 4 = (x - 2)^2
Answer:
y = x² - 4x
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 4) , with a = 1 , the equation is
y = (x - 2)² - 4 ← expand using FOIL
= x² - 4x + 4 - 4
y = x² - 4x ← equation of parabola
Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.
A point on this line that corresponds to the distance Luke swam in 45 seconds is
Answer:
1. velocity
Step-by-step explanation:
that is the answer above
NEED ASAP!!!
In this figure, AB || CD and m/_3=120
What is m/_6?
Enter your answer in the box
Answer:
m/_6=60
Step-by-step explanation:
angles 3 and 6 are same side interior angles makeing them suplimentary.
180-/_3=/_6
180-120=60
it works both ways as well!
this graph represents the function f(x)=4sin(x) which statement is true about this function
Answer:
A
Step-by-step explanation:
The function is increasing in the interval in A because as the x-values increase so do the y-values on the graph, which can be shown by the graph sloping upwards at that specific section.
The graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given a graph of a trigonometric function,
As we know, the trigonometric function is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
From the graph, the function is increasing from 3π/2 to 2π
The graph slopes upward at that particular segment, indicating that the function is increasing in the interval in A as the x-values increase and the y-values on the graph follow suit.
Thus, the graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ5
A square has the same area as a rectangle whose
longer side is 2 times the length of its shorter
side. If the perimeter of the rectangle is 24, what
is the perimeter of the square?
A) 8 √2
B)16 √2
C)32 √2
D)32
Answer:
C) 32 * 2**1/2
Step-by-step explanation:
For rectangle P = L + W = 24 but L = 2W so
2W + W = 24
3W = 24
W = 8 and L = 2W = 16
A = L * W = 16 * 8 = 128
SO for the square with the same area
A = L * L = 128
L**2 = 128
L = 8 * 2**1/2
P = 4L = 32 * 2**1/2
I needed help on this
Answer:
Step-by-step explanation:
Let Freda's sum = x
Donnie has 3/4 x
He spends 63 dollars. His sum is now
3/4x - 63
Now the equation looks like this
6(3/4x - 63) = x Remove the brackets
6*3/4 x - 378 =x
6 * 3/4 = 4 1/2
4 1/2 x - 378 = x Add 378 to both sides
4 1/2 x = x + 378 Subtract x from both sides
3.5 x = 378 Divide by 3.5
x = 378 /3.5
x = 108
Since x = 108, that's how much Freda had. (She spent nothing).
What is the distance between (-5, 3) and (7, 3)? Explain using absolute values.
Use pythagoras theorem
d = √((x₁ - x₂)² + (y₁ - y₂)²)
d = √((-5 - 7)² + (3 - 3)²)
d = √((-12)² + 0)
d = √144
d = 12
Answer:
Step-by-step explanation:
distance is √((x2-x1)^2+(y2-y1)^2)
so it will be √((12)^2+(0)^2)
or simply 12. since we are calculating distance, it is always going to be positive so technecally the formula is |√((x2-x1)^2+(y2-y1)^2)|
complete by using the distributive property (y+3)(y+3)(y+3)
Answer:
y^3+9y^2+27y+27
Step-by-step explanation:
Step 1: Start by understanding FOIL. First. Outer. Inner. Last.
Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.
Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.
This simplifies to y^3+9y^2+27y+27
A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost F(m) is a function of the number of miles M that the car is driven.
Plan A: f(m) = 0.12 + 75
Plan B: f(m) = 0.35m
I. In complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of the number of miles that the car is driven.
II. For each function, determine how the rate of change will affect the total cost of a car rental.
III. For a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost effective?
Answer:
Plan B
Step-by-step explanation:
If f(x) = 6/x-1
for what value of x does f(x) = 5 ?
Answer:
11/5
Step-by-step explanation:
f(x) = 6/x-1
f(x) = 5
6/x-1 = 5
=> 6 = 5(x-1)
=> 6 = 5x - 5
=> 11 = 5x
=> 5x = 11
=> x = 11/5
PLEASE HELP!!! The length, width, and height of a right rectangular prism are doubled. What will be the effect on the volume of the prism?
Answer:
The volume is multiplied by 8.
Step by step explanation:
Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.
The volume of a right rectangular prism with length l, width w, and height h is V=lwh.
Therefore, the volume of the original prism is lwh.
The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.
To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.
V=2l·2w·2h
Simplify.
V=8lwh
The new volume is 8lwh.
If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.
Therefore, the new volume is the original volume multiplied by 8.
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.
What quadratic formula do I need to use to solve 3x(x+6)=-1
Answer:
[tex]\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}[/tex]
What is an equation of the line that passes through the point (-5,-4) and is
perpendicular to the line 53 + 6y = 36?
Answer:
Submit Answer
attempt 1 out of 2
Answer:
6,25
Step-by-step explanation:
A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?
Answer:
you need to be more specific.
Step-by-step explanation:
A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are ___ units apart.
A 5.8
B 6.4
C 8.8
D 9.4
