Mason plays a game by flipping a fair coin. He wins if the coin lands facing heads-up. What is the probability, as a fraction, that Mason wins the game?
(I need an actual answer, pls)
Answers
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
There are two ways a fair coin can land: heads and tails. Since there is an equal chance that the coin lands on heads and tails, there is half chance (\(\frac{1}{2}\) or 50%) that the coin lands heads-up.
∴ Therefore, the probability as a fraction is \(\frac{1}{2}\).
Hope this helps!
Related Questions
A coffee distributor plans to mix some Breakfast coffee that normally sells
for $9.40
per pound with some House coffee that normally sells for
$12.80 per pound to create 30 pounds of a new coffee blend that can sell
for $10.99 per pound.
How many pounds of each kind of coffee should they mix?
Answer:
pounds of Breakfast coffee.
pounds of House coffee.
Round your answers to the nearest whole number of pounds.
HELP ASAP
Answers
Answer:
16 pounds of Breakfast coffee.
14 pounds of House coffee.
Step-by-step explanation:
Let us represent pounds of Breakfast coffee = a
pounds of House coffee = b
So,
a + b = 30 ......... Equation 1
We are told that coffee distributor plans to mix some Breakfast coffee that normally sells for $9.40 per pound with some House coffee that normally sells for $12.80 per pound to create 30 pounds of a new coffee blend that can sell for $10.99 per pound.
So we create the equation:
9.40a + 12.80b / 30 = 10.99
Cross multiply
9.40a + 12.80b = 10.99 × 30
9.40a + 12.80b = 329.7..........Equation 2
Hence,
a + b = 30 ......... Equation 1
9.40a + 12.80b = 329.7..........Equation 2
a = 30 - b ........ Equation 3
Substitute 30 - b for a in Equation 2
9.40(30 - b) + 12.80b = 329.7
282 - 9.40b + 12.80b = 329.7
- 9.40b + 12.80b = 329.7 - 282
3.4b =47.7
b = 14.029411765 pounds
To the nearest whole number, pounds of house coffee = 14 pounds
To find a , we would substitute 14 pounds for b in equation 1
a + b = 30 pounds
a + 14 = 30
a = 30 - 14
a = 16 pounds.
Breakfast coffee = 16 pounds.
Therefore, the pounds of each coffee that they should mix is
16 pounds of Breakfast coffee and 14 pounds of House coffee.
the first one is supposed to be 1 over 2
1/2(4a+10=2a+
Answers
Step-by-step explanation:
1/2(4a+10)=2a
expand
2a+5=2a
-2a -2a
=5
simplify – w + 1 – (–8w)
Answers
Answer:
7w + 1
hope it helped. :)
Answer: =the answer is 7w+1
Step-by-step explanation:
that's the answer you subtract 1-8 give you 7 and you put the w as this 7w and you just pit the +1 and that's it 7w+1
Ellison wants to purchase a backpack for $76. The tax in his area is 7%. What would his total cost be?
Answers
Answer:
The cost is $81.32
Step-by-step explanation:
Answer: $81.32
Step-by-step explanation:
What is the perimeter of a square with a side length of 46 mm?
A. 50 mm B. 100 mm C. 184 mm D. 230 mm
Answers
Answer:
C: 184 mm
Step-by-step explanation:
46*4 = 184
46x4
a
35°
b
48°
c
69°
d
78°
Answers
Answer:
Answer is in the attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note to solve this question, angles properties must be used.
Answer:
x=48°
Step-by-step explanation:
We can see the line at the top. 52°+y+59°=180° because these angles are supplementary angles. We can solve this problem:
52°+y+59°=180°
y=180-52-59
y=180-111
y=80-11
y=69°
because the angles in a triangle add up to 180°, y+63°+x=180°, or
69°+63°+x=180°
We can solve it from here:
69+63+x=180
120+12+x=180
132+x=180
x=180-132
x=80-32
x=48°
PLEASE MARK AS BRAINLIESTx-2y=3, x^2-2y=3, x^2-2xy+4y^2=11, find the value of x^2y-2xy^2
Answers
This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:
x^2-2y=3 - (x-2y=3) => x^2-x=0
Then we can factor the resulting equation and find the values of x:
x^2-x=0 => x(x-1)=0 => x=0 or x=1
Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:
x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1
Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:
x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1
Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.
If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool?
Answers
Answer:
Step-by-step explanation:
U should to length x width x height to find your answer
A Roman statue is three times as old as a Florentine statue. One hundred years from now the Roman statue will be twice as old as the Florentine statue. How old is the Roman statue?
Answers
Answer:
300 years
I hope this helps!
Which pair of points forms a vertical line segment that is 4 units long? A. (–3, 5) and (–7, 5) B. (3, –8) and (3, –4) C. (2, 1) and (2, 3) D. (2, 4) and (–2, 4)
Answers
Answer: (-7,5) and (-3,5) :) there for answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
An atlas contains a map of Ohio (look at the picture for parts a,b,c, and d
Answers
Answer:
Step-by-step explanation:
a
Sylvia launches a bottle rocket into the air. The function h(t)= 115t-16t^2 gives the height of the bottle rocket, in feet, seconds after it is launched. Using a table or graph, about how many seconds did it take for the bottle rocket to reach a height of 200 feet? Round your answer to the nearest second.
Answers
Answer:
4 seconds to reach 200 feet
Step-by-step explanation:
You can use Desmos (graphing calculator) then plug in the equation and you will find the x-values are 7.188 and 0- the origin.
Divide 7.188 by 2 (this is also solving for the midpoint/axis of symmetry) and you get 3.594
Round 3.594 to the nearest second which would be 4 seconds.
Hope that helps and have a great day!
What is the volume of this triangular prism?
Answers
(Bh over 2)h
(Bh)
(. 2 )h
Volume is calculated using the formula volumes = 0.5 * b * h * length, where b is the triangle's base length, h is its height, and length is the prism length.
Explaining a triangle
Triangles: What are they? Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Answer: What is a triangle?
A triangle is made up of three vertices, three angles, and three sides. A triangle's internal angles add up to 180 degrees. The triangle's third side is longer than the two sides added together. where is
A machine fills boxes at a constant rate.at the end of 35 minutes it has filled 5 boxes.which table represents the relationship between the number of minutes the machine fills boxes and the number boxes filled
Answers
Answer:
Every seven minutes it would fill a single box.
Step-by-step explanation:
Well uh, I don't really have any step-by-step explanation but if you do need one maybe somebody else will have one, sorry.
Good luck!
PLease solve it as fast has you can
Answers
Answer:
\(f^{-1}\left(f(576)\right)=\boxed{576}\)
\(f^{-1}(-7)+f(-7)=\boxed{13}\)
Step-by-step explanation:
The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).
Given table:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)
Inverse function:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)
If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).
Therefore:
\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)
The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.
The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.
Therefore:
\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
Which of the relationships below represents a function with the same rate of change as the function y=x-4?
Answers
Answer:
D
Step-by-step explanation:
The slope for the first one is 1 since x stands alone. You have to find the slope for each, and find the one that matches, so divide the change in y over change in x, or for the graphs find where the points are, find the difference in the y and x values and do change in y over change in x. For A, the slope would be -1, so it wouldn’t work. For B, the slope would be -5/4, so it wouldn’t match. For C, the slope would be -4/2, so it wouldn’t be a match. D the slope would be 1 so it is the only one that matches.
HELLPPP MEEEEEEE PLEASEEEEE?.?.?.?.?.?.?/$/$$//$$:$:
Answers
Answer:
The scuba diver's deepest dive was deeper than 32.
Step-by-step explanation:
If He dived down to an altitude of -80, then it would be deeper than 32.
Answer:
The scuba diver's deepest dive was deeper than 32.
To find the quotient of 3 divided by 1/6, multiply 3 by
1/6
3/6
3.
6.
Answers
Find the GCF of 16 and 56.
Answers
x=25 what is the value of 5x-5
(Please explain it with proces)
Thank you
Answers
Answer:
120
Step-by-step explanation:
5x-5
Let x = 25
Substitute into the expression
5(25) - 5
Multiply
125 -5
Subtract 120
Answer:
120
Step-by-step explanation:
If X = 25
where you see X , you put 25 there
5X - 5
5(25) - 5
125 - 5
= 120
what is the answer i need answers now
Answers
Answer: 1/2, 0.51, 11/20
Step-by-step explanation:
Use 100 as a common denominator so you can compare all the numbers in like terms:
1/2 = 50/100
0.51 = 51/100
11/20 = 55/100
Answer:
\(\frac{1}{2} 0.51, \frac{11}{20}\)
Step-by-step explanation:
First, you want to change the decimal into a fraction. 0.51= \(\frac{51}{100}\)
Then, find the common denominator. In my example, I used 100. Find the equivalent fraction for the fractions with 100 as their denominator
\(\frac{11}{20} = \frac{55}{100} \\\\\ \frac{1}{2} = \frac{50}{100}\)
Next, line them up in order of their numerators
\(\frac{50}{100} \frac{51}{100} \frac{55}{100}\)
Finally, match the new fraction with their reduced fraction or decimal:
\(\frac{1}{2} = \frac{50}{100} \\\\0.51 = \frac{51}{100} \\\\\frac{11}{20} = \frac{55}{100}\)
pls help on all questions- i am terrible at this stuff- i will mark brainly if you answer all! (no need for work btw) PLS HELPPP
Answers
2. After investing for 4 years at 5.60% interest, your $1,200 investment will have grown to $1,492
3. Solving our equation:
r = (1/18)((218/200) - 1) = 0.005
r = 0.005
Converting r decimal to R a percentage
R = 0.005 * 100 = 0.5%/month
Calculating the annual rate
0.5%/month × 12 months/year = 6%/year.
The interest rate required to get a total amount, principal plus interest, of $218.00 from simple interest on a principal of $200.00 over 1.5 years (18 months) is 0.5% per month.
4. Solving our equation:
r = (1/5)((1310/1000) - 1) = 0.062
r = 0.062
Converting r decimal to R a percentage
R = 0.062 * 100 = 6.2%/year
The interest rate required to get a total amount, principal plus interest, of $1,310.00 from simple interest on a principal of $1,000.00 over 5 years is 6.2% per year.
5. Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((810/750) - 1) = 2
t = 2 years
The time required to get a total amount, principal plus interest, of $810.00 from simple interest on a principal of $750.00 at an interest rate of 4% per year is 2 years.
6. First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year,
then, solving our equation
t = (1/0.055)((3325/2500) - 1) = 6
t = 6 years
The time required to get a total amount, principal plus interest, of $3,325.00 from simple interest on a principal of $2,500.00 at an interest rate of 5.5% per year is 6 years.
7. Solving our equation:
r = (1/6)((515.75/500) - 1) = 0.00525
r = 0.00525
Converting r decimal to R a percentage
R = 0.00525 * 100 = 0.525%/month
Calculating the annual rate
0.525%/month × 12 months/year = 6.3%/year.
The interest rate required to get a total amount, principal plus interest, of $515.75 from simple interest on a principal of $500.00 over 0.5 years (6 months) is 0.525% per month.
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
Emily sold 93 boxes of cookies for a fundraiser. If she sold 60% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
A.
153
B.
558
C.
155
D.
62Emily sold 93 boxes of cookies for a fundraiser. If she sold 60% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
A.
153
B.
558
C.
155
D.
62
Answers
Answer:
62;*+"+"+"+"+"+"_+"+"+"++$+#$-_($+$-_+'("!$!(__(($($($($$(_((__++_+_+_+_
What is the perimeter of the rectangle?
Answers
Answer:
12
Step-by-step explanation:
Opposite sides of a rectangle share the same side measurements (based on the definition of a rectangle). This means that the perimeter is found as:
P(perimeter)= 2l + 2w
Let:
length (l) = 4
width (w) = 2
Plug in the corresponding numbers tot eh corresponding variables:
P = 2(l) + 2(w)
P = 2(4) + 2(2)
Simplify. First, multiply, then add:
P = (2 * 4) + (2 * 2)
P = (8) + (4)
P = 12
12 will be your perimeter.
~
Check. Since it is given that it is a rectangle, by definition of a rectangle, you will know that opposite sides are congruent, and therefore share the same measurements.
P = 2 + 2 + 4 + 4
P = (4) + (8)
P = 12
12 will be your perimeter.
~
Learn more on how to solve for perimeters of rectangles, here:
https://brainly.com/question/15401834
Step by step explanation:
Perimeter = 2l + 2w
Length= 4
Width=2
4x2=8
2x2=4
8+4=12
Perimeter=12
Trey made a scale drawing of a microchip using s scale of 2 inches to 1 centimeter. His drawing was an enlargement that depicted the chip as 6inches long and 4 inches wide. However, the drawing isnt big enough to clearly show all of the chips components. So he wants to make the drawing bigger. Complete the steos below to figure the dimensions if trey changes the scale to 3 inches to 1 centimeter.
A) What is the actual length of the microship?
B) What is the actual width of the microchip?
C) Trey wants to change the scale of the drawing to 3in to 1cm. Use the actual length from part A to find the length of the microchip in treys new scale drawing.
D) Use the actual width from part B to find the width of the microchip in treys new scale drawing.
E) what is the ratio of a drawing measurement from the original scale to the corresponding drawing measurement in the new scale?
Answers
Answer:
A) The actual length of the microchip is 3 centimeters.
B) The actual width of the microchip is 2 centimeters
C) The ratio of the original scale drawing measurements to the new scale drawing measurements is 2 inches to 3 inches.
Step-by-step explanation:
A) actual length = scale length × reciprocal of scale factor
The scale is 2 inches to 1 centimeter, so the scale factor is. 2in/1cm The reciprocal of the scale factor is. 1cm/2in The length of the chip in the scale drawing is 6 inches.
= 6 in. x (1cm/2in)
= 3 cm
B) actual width = scale width × reciprocal of scale factor
= 4 in. x (1cm/2in)
= 2 cm
C) The original scale drawing, the microchip was 6 inches long. It is now 9 inches long.
Ratio: 6in/9 in 3in/2in
The microchip was 4 inches wide. In the new scale drawing, the microchip is 6 inches wide.
Ratio: 4in/6in 2in/3in
if the first term or an arithmetic sequence is 8 and the fourth term is -1 , what is the nth term?
Answers
Answer:
i forgot what i was going to put
Answer:
8, 5, 2, -1, -4, -7, -10, -13, -16, -19, -22, -25, -28, -31, etc.
Step-by-step explanation:
Continue to subtract 3 as many times as needed.
helpp mee with the answer pleasee! <3
Answers
Answer:
1. (-7,-3) and (-6,-4) is -1
2. (7,2) and (0,-5) is 1
3. (1,6) and (-3,0) is 1.5
A diving board is 12 feet above the ground. The bottom of the pool is 16 feet below the ground. Write and solve an equation that gives the distance from the diving board to the bottom of the pool.
Answers
Answer:
28 ft
Step-by-step explanation:
since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board
Answer:
28 feet
Step-by-step explanation:
To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.