Question:
You flip a fair coin. What is P(tails)?
If necessary, round your answer to 2 decimal places.
Answer:
P(tail) = 0.5
Step-by-step explanation:
Given:
A fair die
Required
P(Tails)
A fair die has 2 sides, the head and the tail; each of the sides have equal probability.
The number of head in a die is 1 and the number of a tail in a die is 2.
Let P(tail) represent the probability of obtaining a tail.
P(tail) is calculated by number of tail divided by number of sides of a die.
Hence, P(tail) = ½
P(tail) = 0.50
"The probability of getting tails when flipping a fair coin is [tex]\(\frac{1}{2}\)[/tex] or 0.5.
A fair coin has two equally likely outcomes: heads or tails. Since a fair coin has no bias towards either side, the probability of landing on tails is the same as the probability of landing on heads.
The probability of an event E, denoted as P(E), is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event E is getting tails. There is one favorable outcome for getting tails, and there are two possible outcomes in total (heads or tails).
Therefore, the probability of getting tails, P(tails), is given by:
[tex]\[ P(\text{tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{2} \][/tex]
This fraction simplifies to 0.5, which is the correct probability of getting tails when flipping a fair coin. There is no need to round to 222 decimal places as the probability is exact.
Mikayal spent 3/8 of her savings at the store. She spent $60. How much money was in her savings before she went to the store ?
Answer:
225
Step-by-step explanation:
60 divided by 3/8 is 225
Final answer:
Mikayla spent 3/8 of her savings which was $60, so by setting up a proportion and solving it, we find that she had $160 in her savings before she went to the store.
Explanation:
Mikayla spent 3/8 of her savings which was $60. To find out how much money she had before going to the store, we can use a simple proportion. We know that the part Mikayla spent ($60) corresponds to 3/8 of her total savings. To find the whole, we set up a proportion:
3/8 = $60/Total Savings
Now, we will solve for the 'Total Savings' by multiplying both sides of the equation by the reciprocal of 3/8, which is 8/3:
Total Savings = $60 × (8/3)
Total Savings = $60 × 8 ÷ 3
Total Savings = $480 ÷ 3
Total Savings = $160
Therefore, Mikayla had $160 in her savings before she went to the store.
A circle with radius 9 has a sector with a central angle of 120°.
What is the area of the sector?
120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.
A circle with radius 9 has area 9^2 π = 81π.
So the sector has area 81π/3.
Put another way: The area A of a circular sector and its central angle θ (in degrees) occur in the same ratio as the area of the entire circle with radius r according to
A / θ º = (π r ^2) / 360º
==> A = π/360 θ r ^2
In this case, r = 9 and θ = 120º, so
A = π/360 * 120 * 81 = 81π/3
Which of the answer choices is a multiple of 4 select all that apply
12, 14, 16, 18, or 20
Answer:
12, 16, 20
Step-by-step explanation:
For this question the answer will be 12, 16 and 20.
4 times 3 is 12
4 times 4 is 16
4 times 5 is 20
Help me! Mathematics, quick, I'm on Time Limit!
Thank you all very much!
Which steps are needed to solve this equation? . b + 6 = 21 Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b. Subtract 6 from the left side and add 6 to the right side of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to both sides of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to the left side and subtract 6 from the right side of the equation. The answer is b = 15. Check the solution by substituting 15 for b.
Answer:
Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b
Step-by-step explanation:
b+6 =21
Subtract 6 from both sides
b+6-6 = 21-6
b = 15
Check
15+6 = 21
21=21
Answer:
First one:
Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b.
Step-by-step explanation:
b + 6 = 21
b + 6 - 6 = 21 - 6
b = 15
can someone help me to find the area?
Answer:
the answer is 23.14 if you use pi and is 23.13 if you use 3.14
Step-by-step explanation:
Answer:
23.14 squared meters or 13.5π squared meters
Step-by-step explanation:
A line is drawn through (-7, 11) and (8, –9). The equation
y - 11 = - 4(x + 7) is written to represent the line. Which
equations also represent the line? Check all that apply.
3y = - 4x + 40
4x + y = 21
4x + 3y = 5
-4x + 3y = 17
The options A and C represent the same line as the given equation.
A: 3y = - 4x + 40
C: 4x + 3y = 5
To verify which equations represent the same line as the given equation y - 11 = -4 (x + 7), we can first convert the given equation into slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Given equation:
y - 11 = -4 (x + 7)
Expanding and rearranging:
y - 11 = -4x - 28
y = -4x - 28 + 11
y = -4x - 17
Now, let's compare this equation with the options:
A. 3y = -4x + 40
To convert it to slope-intercept form:
y = [tex]-\frac{4}{3}x + \frac{40}{3}[/tex]
B. 4x + y = 21
To convert it to slope-intercept form:
y = -4x + 21
C. 4x + 3y = 5
To convert it to slope-intercept form:
3y = -4x + 5
y = [tex]-\frac{4}{3}x + \frac{5}{3}[/tex]
D. -4x + 3y = 17
To convert it to slope-intercept form:
3y = 4x + 17
y = [tex]\frac{4}{3}x + \frac{17}{3}[/tex]
Comparing all the equations with the original equation y = -4x - 17, we find that options A and C have the same slope-intercept form as the original equation.
The question is:
A line is drawn through (-7, 11) and (8, –9). The equation y - 11 = - 4(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
A. 3y = - 4x + 40
B. 4x + y = 21
C. 4x + 3y = 5
D. -4x + 3y = 17
The only equation that represents the same line as the given equation y - 11 = - 4(x + 7) is -4x + 3y = 17, as it has the same slope and y-intercept when simplified.
To determine which equations also represent the line through the points (-7, 11) and (8, -9), we must ensure they have the same slope and y-intercept as the given line equation y - 11 = - 4(x + 7). First, we simplify the given equation to the slope-intercept form (y = mx + b):
y = -4x - 28 + 11
y = -4x - 17
The slope (m) is -4, and the y-intercept (b) is -17. Now, let's compare the other equations:
3y = - 4x + 40
y = - 4/3x + 40/3Slope: -4/3 (doesn't match)Y-intercept: 40/3 (doesn't match)4x + y = 21
y = -4x + 21Slope: -4 (matches)Y-intercept: 21 (doesn't match)4x + 3y = 5
3y = -4x + 5y = -4/3x + 5/3Slope: -4/3 (doesn't match)Y-intercept: 5/3 (doesn't match)-4x + 3y = 17
3y = 4x + 17y = 4/3x + 17/3Slope: 4/3 (matches)Y-intercept: 17/3 (matches after converting the fraction)The only equation that has both the slope and y-intercept identical to the given line's equation after simplification is -4x + 3y = 17.
HURRY PLEASE!!!!!!!!!!! A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show an upward trend. Which is most likely the correlation coefficient for the set of data shown? –0.65 –0.19 0.19 0.75
The correct answer is option B) –0.19.
What does a correlation coefficient mean?
A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict changes to the value of another. In positively correlated variables, the value increases or decreases in tandem.
What is a perfect correlation?
A relationship between two variables, x, and y, in which the change in the value of one variable is exactly proportional to the change in the value of the other. That is, knowing the value of one variable exactly predicts the value of the other variable (i.e., rxy = 1.0).
Learn more about correlation coefficient here: brainly.com/question/4219149
#SPJ2
Answer:
c
Step-by-step explanation:
Please help! I will mark you as brainlinest!
Answer:
A is 29 miles and B is 18 miles
Step-by-step explanation:
Set up 2 equations involving A and B and solve simultaneously, that is
5A + 2B = 181 → (1)
2A + 3B = 112 → (2)
Multiply (1) by 3 and (2) by - 2 to eliminate B
15A + 6B = 543 → (3)
- 4A - 6B = - 224 → (4)
Add (3) and (4) term by term to eliminate B
(15A - 4A) + (6B - 6B) = 543 - 224, that is
11A = 319 ( divide both sides by 11 )
A = 29
Substitute A = 29 into either of the 2 equations and solve for B
Substituting into (1)
5(29) + 2B = 181
145 + 2B = 181 ( subtract 145 from both sides )
2B = 36 ( divide both sides by 2 )
B = 18
Thus
Route A is 29 miles long and Route B is 18 miles long.
Answer: for the answer above me give em the crown he deserves it
Step-by-step explanation:
evaluate the expression for q=8
7q
Answer:
56
Step-by-step explanation:
7q
Let q = 8
7*8
56
Solve for X, rounding to the nearest hundredth.
25x = 6
Answer: 0.24
Step-by-step explanation: You need to solve and get x by itself, so you would divide 25 on both sides of the equal sign. This would give you x=6/25 or 0.24
lucy is standing in a stadium and has the option of running up a staircase 0r down a staircase for exercise.The function f(x)=1/25...
simplify the expression. (6^2)^4
Answer:
(2^4•3^2)
Step-by-step explanation:
Step 1 :
1.1 6 = 2•3
(6)2 = (2•3)2 = 2^2 • 3^2
Step 2 :
2.1 2^2 multiplied by 2^2 = 2(2 + 2) = 2^4
Final result :
(2^4•3^2)
Answer:6^8
Step-by-step explanation:
add or subtract (m^2-m-4)+(m+5)
---------------------------------------------------------
(m^2-m-4)+(m+5)
Remove parentheses:
m^2-m-4 + m+5
Group like terms:
m^2-m+m-4+5
Add similar elements:
m^2-4+5
Add/subtract the numbers:
m^2+1
Your Answer Is m^2+1
plz mark me as brainliest if this helped :)
Find the unit rate.
200 words in 4 min
A: 50 words per minute
B: 40 words per min
C: 30 words per min
Answer:
A 50 words per minute
Step-by-step explanation:
200 words/ 4 minutes= 50 words per minute
I have 2 questions
A circle with a small hole in the middle. The large circle has a diameter of 22 millimeters. The small hole has a diameter of 5 millimeters.
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin? Check all that apply.
Subtract the two diameters and multiply by pi
Add the two diameters and multiply by pi
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
and how do you mark brainliest i forgot and i feel stupid for asking
Answer:
A and D
Step-by-step explanation:
edge 2022
A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m3. What is the width?
A prism has a length of 7 meters, width of w, and height of 5 meters.
Which steps are correct? Check all that apply.
Substitute the known values into the formula:
140 = 7(w)(5).
Substitute the known values into the formula:
7 = 140(w)(5).
Substitute the known values into the formula:
5 = 7(w)(140).
Solve for the unknown: w = 4 m.
Solve for the unknown: w = 7 m.
Solve for the unknown: w = 2 m.
Answer:
A & D
Step-by-step explanation:
Answer:
A and D
The other person is correct
plzzzzzzzzzzzz help quick
An advertising agency is hired by a local car dealership to determine the most popular SUV model among past customers of the dealership. The agency decides to use a systematic random sampling method.
Which of the following describes the method the agency can use?
Answer:B
by-step explanation:I did the quiz
Help me please!!!!
Fghxfhhffhcc
Answer:
x = ± 2
Step-by-step explanation:
To find the zeros set the polynomial equal to zero, that is
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
Thus x = - 2 or x = 2
NEED GRAPH HELP PART 1 AND 2
Answer:
1/2
Step-by-step explanation:
Which numbers are solutions of the inequality? Choose all that apply.
Answer:
It's a d e gg g g g g g g g g g g g g
You are playing a board game and your playing piece
begins the game at START. You roll a single number
cube numbered 1 to 6 to find out how many spaces
you can move.
What are the possible outcomes of your first roll?
There is a chick-fil-a exactly 7 miles due west of berkmar middle school. There is also a wal-Mart 5 miles due north of Berkmar middle school. How far is the chick fil a from the Walmart? Leave your answer in its simplest radical form.
Answer:
8.60
Step-by-step explanation:
7 squared+ 5 squared= C squared
49+25=C squared
74=C squared
You then just square 74 and get 8.60 when rounded
100% correct, teacher corrected my answer, I had the same question today
Answer:
8.6
Step-by-step explanation:
i answered this question on a test .
Hurry to help me!! Someone keeps deleting my questions for no reason and its not from a quiz!!
Answer: C and D
They are the closest to 0, so c=-1 and d=1.
Subtract (7x – 3) – (5x-6).
O A. 2x+9
O B. 2x–9
O c. 2x-3
O D. 2x+3
Answer:
2x+3
Step-by-step explanation:
NEED HELP!!!!!!!!!!!!!!!!!!!!!
Answer:
The order would be: impossible, unlikely, neither unlikely nor likely, likely and lastly certain.
Step-by-step explanation:
Ps, the order goes from top left, bottom left, middle top, bottom right, top right. If you are confused I will explain with more details.
Answer:
The box on 0 means impossible
The second box means unlikely
The 3rd box means neither likely or unlikely
The 4th box means likely
And the last box means certain.
Step-by-step explanation:
I assumed the 0 meant impossible and went from there.
Please help sorry if it’s blurry
Answer:
a
Step-by-step explanation:
A box of cereal is shaped like a rectanular prism. The box is 20 centimeters long, and 30 centimeters high. The volume is 3,600 cubic centimeters. Find the width of the box
Answer:
20 x 30 = 600
3,600/600=6
Check if it works
20 x 30 = 600
600 x 6 = 3,600
the missing width is 6
Step-by-step explanation:
if a box of 10 organic capri sun drinks costs $13.92, what is the unit rate? (who ever has right answer first gets brainlest!)
Answer: Unit rate for capri sun drinks is 1.39
Step-by-step explanation: The unit rate is the Constant of proportionality so you would have to find the cost of one product or the worth so I divided 13.92 by 10 to find the unit rate and estimated to the nearest hundredths because money does not go out to the hundredths.
Hope I helped out <3
-Carrie
Solver for x, solver similar triangles(Advance)
Answer:
x=3
Step-by-step explanation:
its a right triangle
Answer:
The answer is 3. X= 3 because it's a right angle.
Step-by-step explanation:
hope it helps