Answers
Answer:
b) P(more than 10) = 2/9
c) P(less than 7) = 2/9
Step-by-step explanation:
a) Yaniq spins both spinners and then adds up the results together.
The results are as follow:
5
7
9
6
8
10
7
9
10
These are a total of 9 outcomes.
b) What is the probability that Yaniq gets a total of more than 9?
The probability is given by
P = Number of favorable outcomes/Total number of outcomes
For this case, the favorable outcomes are all those outcomes where the total score is more than 9.
Count the number of times Yaniq got a score of more than 9.
Yes right!
2 times (10 and 10)
P(more than 10) = 2/9
c) What is the probability that Yaniq gets a total of less than 7?
For this case, the favorable outcomes are all those outcomes where the total score is less than 7.
Count the number of times Yaniq got a score of less than 7.
Yes right!
2 times (5 and 6)
P(less than 7) = 2/9
Related Questions
Identifying relationships from diagrams
Answers
Answer: <CED is the right angle, which measures 90 degrees. Since the measure of a straight angle is 180 degrees. <CEA must also be 90 degrees by the Definition of Right Angle. A bisector cuts the angle measure in half. m<AEB is 45 degrees.
A big dump truck delivers gravel to a construction site. The dump truck has a rectangular bed that is 3 meters wide and 4 meters long. The truck bed is filled with gravel to a height of 2 meters. What is the volume of gravel in the truck bed?
Answers
Answer:
24m^3
Step-by-step explanation:
Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent
(04.01 LC)
Which of the tables represents a function?
Table A
Input: 4, 5, 4,
Output: 2,9,7,
Table B
Input: 9,9,7,
Output: 2,3,5,
Table C
Input: 4,6,2,
Output: 3,5,7,
Table D
Input: 8,6,8,
Output: 7,5,5,
A) Table A
B) Table B
C) Table C
D) Table D
Answers
With tables A, B and D, we have repeated input (x) values.
Table A has x = 4 repeated. So the input x = 4 leads to both outputs y = 2 and y = 7 at the same time. With any function, we must have exactly one and only one output for any given input. So this is why table A is not a function. Tables B and D are not functions for similar reasons.
Table C on the other hand has unique inputs that do not repeat. The input x = 4 only leads to y = 3, x = 6 pairs with y = 5, and x = 2 outputs to y = 7. Therefore we have a function here.
Instructions: Find the angle measures given the figure is a rhombus.
Answers
Note: The figure in the problem is NOT drawn to scale.
Because the figure is a rhombus, its diagonal bisects the intersecting angle AND opposite angles are congruent (this was hard to notice since the figure wasn't drawn to scale)
If you look at the image I attached to my answer, we now have an isosceles triangle with angles [tex]\angle 1[/tex], [tex]\angle 1[/tex], and 32
The property of a triangle is that all angles must add to 180 degrees
[tex]\angle 1+\angle 1+32=180[/tex]
[tex]2\angle1=148[/tex]
[tex]\angle1=74[/tex]
Thus, the measurement of angle 1 is 74 degrees. Let me know if you need any clarifications, thanks!
Calculate the amount of paint needed to cover the following door:
Note: You do not paint the window on the inside.
Answers
Answer:
Step-by-step explanation:
The door is shape is a combination of a rectangle and a semicircle with a square window.
Area of the door = Area of rectangle + area of a semi circle
Area of a rectangle = Length * Width (LW)
area of a semicircle = πr²/2 where r is the radius of the semi circle.
Given the length of the rectangle = 2m and its width = 1m
Area of rectangle = 2*1 = 2m²
Given the radius of the semicircle = 1/2 m
Area of the semi circle = π(0.5)²/2
= 0.25π/2
= 0.785/2
Area of the semicircle= 0.3925m²
Area of the door = 2+0.3925
Area of the door = 2.3925m²
Since we are not to paint the window, we will subtract the area of the window from the total area.
Area of the window = area of a square = 0.2*0.2
= 0.04m²
Area to be painted = Area of door - Area of the square
Area to be painted = 2.3925m² - 0.04m²
Area to be painted = 2.3535m²
Note that there was no enough information for us to calculate the amount of paint needed but knowing the area of the part to be painted can guide us.
students enter school in the morning through doors on opposite sides of cafeteria. At Ms. Logrieco's door,35 students enter in the first 10 minutes. At Mr. Riley's door,22 students enter in the first 8 mins. If students continue to arrive at school at the same rate,how many students do you expect to be in the cafeteria after 24 minutes?
Answers
Ms. Logrieco's door: 35 students per 10 minutes
Mr. Riley's door: 22 students per 8 minutes
Time Frame: 24 minutes
35 x 2 = 70
35 x 2/5 = 14
70 + 14 = 84
22 x 3 = 66
84 + 66 = 150
Thus, we can expect for 150 students to be in the cafeteria after 24 minutes.
9) Arthur weighs 54 lbs. more than Lily. Their combined weight is 280 lbs. less than 6 times Lily’s weight. How much does Arthur weigh?
Answers
Answer:
137.5 lbs.
Step-by-step explanation:
Arthur = 54 + x
Lily = x
Arthur + Lily = 6x - 280
(54 + x) + x = 6x - 280
54 + x + x = 6x - 280
54 + 2x = 6x - 280
54 = 4x - 280
334 = 4x
83.5 = x
Arthur = 54 + x
Arthur = 54 + 83.5
Arthur = 137.5
What is the midpoint of the segment shown below? (3, 7) (2, -1)
Answers
Answer:
( 2.5 , 3 )Step-by-step explanation:
Let the points be A and B
A ( 3 , 7 ) --------> (x1 , y1 )
B ( 2 , -1 ) --------> ( x2 , y2 )
Finding the midpoint:
[tex]( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
[tex] = ( \frac{3 + 2}{2} , \: \frac{7 + ( - 1)}{2} )[/tex]
[tex] = ( \frac{5}{2} , \: \frac{7 - 1}{2} )[/tex]
[tex] = ( \frac{5}{2} ,\: \frac{6}{2} )[/tex]
[tex] = (2.5 ,\: 3)[/tex]
Hope this helps...
Good luck on your assignment ....
Answer:
(2,-1)
Step-by-step explanation:
Welol to find the line of (3,7) and (2,-1) we need to use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So -1 is y2 7 is y1 so -1 - 7 = -8
2-3 = -1
Hence, the slope of the line is 8.
And graphing more points on the graph using the slope we can see the y intercept is -17.
So the equation is y = 8x - 17
And the mid point is at (2, -1)
In solving the formula
A = (1/2)bh, in solving for h, you could first multiply both side by 1/2.
True or False
Answers
Answer:
False
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by b )
[tex]\frac{2A}{b}[/tex] = h
please help with this, 20p
Answers
Answer:
about 325
Step-by-step explanation:
On average, the mileage is about 21.7 miles per gallon, so 15 gallons would be good for about 325 miles.
If we look at the table for fills that total 15 gallons, we see the first and last total 330 miles, and the 3rd and 4th total 314 miles. So, we expect somewhere between these values, on average.
A formal average adds the miles driven and divides by the total of gallons used. That result is shown below. While we might estimate that we could drive 325 miles on 15 gallons, we have found that our mileage actually varies.
Because 198+115+154+160+132=759
9+5+7+8+6=35
759/35 is about 21.7
So it’s 21.7*15 is about 325 or 326
whats 4x4x5x5x6x5x5x5x5x5x5x5x5x5x5x6x6x6x6x6x6x6
Answers
Step-by-step explanation:
Its a simple..
=4^2×5^12×6^8
=16×244140625×1679616
= 6.561×10^15
Hope it helps...
The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with the vertex 4, 1 What is the value of k?
Answers
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (4, 1 ), thus k = 1
27 An old-fashioned bicycle has two differently sized wheels. The circumference of the front wheel is 9 feet larger than the circumference of the back wheel. Thomas biked for a while and, according to his equipment, the front wheel went all the way around 500 times and the smaller wheel went all the way around 1400 times. How far, in feet, did Thomas bike?
Answers
Answer:
Half ans is in pic...
now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".
we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.
after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller. On that time, they covered however, the same amount of ground, since they're on the same bike.
The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.
The amount covered by the large one in 500 cycles, is 500(2πr + 9).
And we know that ground covered, is the same for both, therefore, we also know that 1400(2πr) = 500(2πr + 9).
Refer to the pic for rest...
Hope it helped
Mark BRAINLIEST!
Does this graph represent a function? Why or why not?
10
8
2
-503842
-10
A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
O C. Yes, because it is a curved line.
D. Yes, because it passes the vertical line test.
A
E PREVIOUS
Answers
Ask yourself if it is possible to draw a single straight line through more than one point on the red curve. If it is possible, then the graph is said to fail the vertical line test. Otherwise, the graph passes the test.
In terms of algebra, any input x value leads to one and only one y output value. This is what defines a function. If you had x lead to more than one output, then we wouldn't have a function. Of course, the x value must be in the domain.
solve the systems by the addition method x - 2y = - 4 2x + y = 7
Answers
To solve this system of equations by addition, our first goal is to cancel
out one of the variables by adding the two equations together.
However, if we add these two equations together right away, nothing
will cancel so we need to set things up so a variable will cancel.
Notice that we have an 2x in our second equation.
If we had a -2x in our first equation, then the x's would cancel out.
In order to create a -2x in the first equation, we simply
multiply both sides of the first equation by -2.
So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.
Now rewrite both equations, as shown below.
-2x + 4y = 82x + y = 7Now when we add the equations together, the x terms
will cancel out and we're left with 5y = 15.
Dividing both sides by 5, y = 3.
To solve for x, plug a 3 in for y in either one of our 2 original equations.
So let's go with our second equation.
Plugging a 3 in for y, we get 2x + (3) = 7.
Now subtract 4 from both sides to get 2x = 4.
Dividing both sides by 2, we fid that x = 2.
Since x = 2 and y = 3, our answer is the ordered pair (2, 3).
a store offers a discount of 10% to customers who spend more than $20. If a customer's bill was $80, what will he actually pay?
Answers
Answer:
72
Step-by-step explanation:
First find the discount
10% of 80
.10 * 80
8
Subtract this amount from the bill
80 -8 = 72
The customer will pay 72
As part of their fundraising for Right To Play, the student council is having a fun-fair at lunch in the schoolyard. You will be running three events at different locations: a basketball foul-shot contest, a mini-putt course, and a dunk-tank. Your job is to locate the ticket booth so that it will be the same distance from each of the events. Describe the process you would use to determine the position of the ticket booth. Create a GeoGebra design that supports your decision.
Answers
Answer: see below
Step-by-step explanation:
I used a coordinate graph and placed the Ticket Booth at the origin (0, 0)
Then I chose a distance of 4 (you can choose any distance) and placed the three events equidistant from the origin by using the x- and y- axis to easily determine a distance of 4 from the origin.
(0 - 4, 0) = (-4, 0)
(0 + 4, 0) = (4, 0)
(0, 0 + 4) = (0, 4)
If the booths are placed first you would need to find the equation of a circle that contains all three points and place the booth at the center.
You do this by creating a system of three equations inputting the x,y coordinates of each booth and solving for h, k, r.
Equation of a circle is: (x - h)² + (y - k)² = r²
If you bisect an angle that is 128 degrees, what size are the two new angles?
Answers
Answer:
64 is the answer
hope you like tjis
stay at home stay safe
Answer:
Each angles measures 64 degrees
Step-by-step explanation:
Bisect means divide in half
128/2 = 64
Each angles measures 64 degrees
What is 23/20 as a mixed number
Answers
Explanation:
23/20 = 1 + 3/20 = 1 3/20
plss help me do this
Answers
Answer:
x1 = -5
x2 = 3
Step-by-step explanation:
You have the following equation:
[tex]\frac{6}{x}-\frac{4}{5}=\frac{2x}{5}[/tex] (1)
To find the solutions of the equation (1) you first eliminate the denominators of the equation, by multiplying the m.c.m, which is 5x, as follow:
[tex]30-4x=2x^2[/tex]
Next, you write the previous equation in the general form ax^2 +bx+c=0, as follow:
[tex]2x^2+4x-30=0[/tex]
Next, you use the quadratic formula to find the solutions:
[tex]x_{1,2}=\frac{-b\pm \sqrt{b^2-4(a)(c)}}{2a}\\\\a=2;\ \ b=4;\ \ c=-30\\\\x_{1,2}=\frac{-4\pm \sqrt{4^2-4(2)(-30)}}{2(2)}\\\\x_{1,2}=\frac{-4\pm16}{4}\\\\x_1=-5\\\\x_2=3[/tex]
Then, the solutions for the given equation are x1=-5 and x2=3
The diagonals of a rhombus are 12cm and 16cm.Find the length of each side.
Answers
Answer:Let PQRS to be the rhombus where PQ=12cm and RS = 16cm
step 1:let,PQ and RS intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.
STEP 2:Since POQ is a right angled triangle, by pythagoras theoram.
STEP 3:After applying formula , PQ =10cm .length of each side of rhombus is 10cm.
Step-by-step explanation:
Answer:
10cm
Step-by-step explanation:
As you can see in the first image is a rhombus with its diagonals 12cm and 16cm
You can see that the diagonals divide the rhombus into four right triangles and that the hypotenuse of each triangle is one side of the rhombus.
In the second image I picked out one triangle from the rhombus and slashed the length of the diagonals of the rhombus in half to get the sides of the triangle.
Now all you have to do is use the Pythagorean theorem to find the hypotenuse of the triangle which will give you the length of side of rhombus
6² + 8² = hypotenuse²
36 + 64 = h²
100 = h²
h = √100
h = 10
All the side of the rhombus are equal so all the sides of the rhombus are 10cm
What is the value of y?
3
4
5
6
Answers
Answer:
3
Step-by-step explanation:
2y+4=10
10-4=2y
6=2y
2y=6
y=3
Answer:
3 is the value of y because 2*3=6and 6+4=10 that's why valueof y is =3
what is a measure ∠x
Answers
Answer:
x = 138
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = B+ C
x = 68+ 70
x =138
Answer:
138 degrees
Step-by-step explanation:
A triangle is made up of 180 degrees, it lists 2 values already, 68&70. when added that equals 138.
So 180-138 is 42 degrees, which would be the last angle within the triangle.
Since a line is also 180 degrees, its 180-42, which makes x 138 degrees
Find the value of x in the triangle
shown below.
X
85
67
Answers
Answer:
28
Step-by-step explanation:
All angle measures must add up to 180. x + 85 + 67 = 180; x = 28
For any triangle, the three angles always add to 180 degrees
85+67+x = 180
x+152 = 180
x = 180-152
x = 28
verify the trigonometric identity: tan(2π - x) = tan(-x)
Answers
Answer:
See Below
Step-by-step explanation:
Taking Right Hand Side to verify the identity:
tan ( 2π - x)
Resolving Parenthesis
tan 2π + tan (-x)
We know that tan 2π = 0
0 + tan (-x)
=> tan(-x) = Left Hand Side
Hence Proved
Answer:
[tex]\boxed{ \sf {view \: explanation}}[/tex]
Step-by-step explanation:
[tex]\Rightarrow \sf tan ( 2\pi - x)=tan(-x)[/tex]
[tex]\sf Apply \ distributive \ law.[/tex]
[tex]\Rightarrow \sf tan (2\pi) + tan (-x) =tan(-x)[/tex]
[tex]\sf Apply : tan(2\pi) =0[/tex]
[tex]\Rightarrow \sf 0 + tan (-x) =tan(-x)[/tex]
[tex]\Rightarrow \sf tan (-x) =tan(-x)[/tex]
[tex]\sf Hence \ verified.[/tex]
Ryan is packing books into a rectangular box. all the books are the same size the book's height is 6, width is 15, length is 20cm the box height is 20 cm, width is 30 cm, length is 36cm how many books can fit inside the box
Answers
Answer:
49191
Step-by-step explanation:
kakaj=122£91¥1
+££1£188282
2828282
+82882
182828
818192÷
ans=40
A cuboid is a three-dimensional shape where the volume is given by Length x width x height.
The rectangular box is a cuboid.
The book is also a cuboid
The number of box that can fit inside the box is 12.
What is a cuboid?A cuboid is a three-dimensional shape where the volume is given by Length x width x height.
Example:
The volume of a cuboid with a height of 2 cm, 3cm wide, and 4 cm length is 24 cm³.
We have,
Book:
Height = 6 cm
Wide = 15 cm
Length = 20 cm
Rectangular box:
Height = 20 cm
Wide = 30 cm
Length = 36 cm
Tha area of the box.
Area = 20 x 30 x 36 = 21600 cm³
The area of the book.
Area = 6 x 15 x 20 = 1800 cm³
The number of books that can fit in the box.
= Area of the box / Area of the book
= 21600 / 1800
= 12
Thus,
The number of box that can fit inside the box is 12.
Learn more about cuboid here:
https://brainly.com/question/19754639
#SPJ2
2x2 − 5x + 3 HELPPPPPPPP
Answers
Answer:
-x+3
Step-by-step explanation:
2x^2-5x+3 Square 2x
4x-5x+3 combine like terms
-x+3
Hope this helps
Answer:
Factoring answer: (x-1)(2x-3)
Quadratic Formula: x = 3/2, 1
Complete the square: 2(x - 5/4)^2 - 1/8
Find the x and y intercept: X - (1,0), (3/2,0) Y - (0,3)
Hope this helps :)
What is the measure of angle x?
10
20
30
40
Answers
Answer:
20
Step-by-step explanation:
Since 30 and 3x are complementary we can write:
30 + 3x = 90
3x = 60 so x = 20°.
Answer:
20
Step-by-step explanation:
30 + 3x = 90
=> 3x = 90 - 30
=> 3x = 60
=> x = 60/3
=> x = 20
pls mark me as brainleist :)
What is the value of this expression when a = 2 and b = -3?
5
Answers
Answer:
5 is the answer..
Step-by-step explanation:
simply by calculating
Point AAA is at {(2,-8)}(2,−8)left parenthesis, 2, comma, minus, 8, right parenthesis and point CCC is at {(-4,7)}(−4,7)left parenthesis, minus, 4, comma, 7, right parenthesis.
Find the coordinates of point BBB on \overline{AC}
AC
start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:12:12, colon, 1.
Answers
Answer:
The coordinates of point B are (-2, 2).
Step-by-step explanation:
Given:
Point A (2,−8)
Point C (−4,7)
Point B divides the line AB such that the ratio AB:BC is 2:1.
To find: The coordinates of point B.
Solution:
We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where [tex](x,y)[/tex] is the co-ordinate of the point which
divides the line segment joining the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] in the ratio [tex]m:n[/tex].
m = 2
n = 1
As per the given values
[tex]x_{1} = 2\\x_{2} = -4\\y_{1} = 8\\y_{2} = 7[/tex]
Putting the values in the formula:
[tex]x = \dfrac{2 \times (-4)+1\times 2}{2+1}=\dfrac{-8+2}{3} =-2\\y = \dfrac{2\times 7+1 \times (-8)}{2+1} = \dfrac{6}{3} =2[/tex]
So, the coordinates of point B are (-2, 2).