if you flip a fair coin 9 times, what is the probability of each of the following getting all tails
Answers
The probability of getting all tails in 9 coin flips is (1/2)^9, which is approximately equal to 0.02.
The probability of getting all tails in 9 coin flips can be calculated by multiplying the probability of getting tails on each individual flip. Since the coin is fair, the probability of getting tails on a single flip is 1/2. Hence, the probability of getting all tails in 9 coin flips is given by (1/2)^9, which is approximately equal to 0.02. This means that there is a 2% chance of getting all tails in 9 coin flips.
It is important to note that in a sequence of coin flips, the order in which the heads and tails appear is important. For example, getting HTTTHTTTT and THTTTHTTT are two different outcomes, even though both have the same number of heads and tails. The total number of possible outcomes in 9 coin flips is 2^9, which is equal to 512. So, to calculate the probability of getting all tails in 9 coin flips, we need to calculate the number of possible outcomes with 9 tails, divide that number by the total number of possible outcomes, and obtain (1/2)^9.
Therefore, probability = 0.02
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Related Questions
If 1000 pennies are put into rolls of 50 pennies, how many rolls will be made?
Answers
100 divided by 50=20
Answer:
12
Step-by-step explanation:
50x2=100
100x10=1000
2+10=12
PLEASE HELP!!!
Give a real-life situation of angle measurement
Answers
Answer:
A clock forms an example of angles in real life.
Step-by-step explanation:
Enter numbers to evaluate ‐6−13. ‐6−13= ‐6 + = Enter numbers to evaluate ‐6−(‐13). ‐6−(‐13)= ‐6 + =
Answers
The given expression evaluates to -19.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the following expression -
- 6 - 13
The given expression evaluates to -
x = - 6 - 13
x = - 19
Therefore, the given expression evaluates to -19.
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Solve for x and find the
missing angles :)
Answers
Answer:
x = 20
I'm not sure about the missing angles
omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 off his entire purchase omar wants to know how many pairs it socks he can buy.
Answers
Answer: the equation is 4p-5≤25
Step-by-step explanation:
If the equation ax+b=cx+d has no solution what must be true about a, b, c, and d?
Answers
9514 1404 393
Answer:
a = cb ≠ dStep-by-step explanation:
For there to be no solution, the lines represented by the left-side and right-side expressions must be parallel. That is, the coefficients of x must be identical,
a = c
and the y-intercepts must be different:
b ≠ d.
(Plotting Ordered Pairs MC)
Which point represents the ordered pair (0, -3)?
-3
O Point D
E
O Point F
Previous Question
Point E
O Point G
-2
-1
3
29
1
O
-1
Ty
-2
?
H
G
D
LL
3
Question 1 (Not Answered) O
Next Question
Answers
A point that represents the ordered pair (0, -3) is: D. Point G.
What is an ordered pair?In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.
Based on the ordered pair (0, -3), we can logically deduce that the coordinates would be located in quadrant IV as shown in the image attached below.
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Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range.
f(x) =x^2 +12x+6
What is the vertex?
What are the x-intercepts?
What is the y-intercept?
what is the axis of symmetry?
Identify the function's domain
Identify the function's range.
Answers
The Vertex is : (-6, -30)
The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)
The Y-intercept is : (0, 6)
The Axis of symmetry is : x = -6
The functions Domain: is All real numbers
The Range is : All real numbers greater than or equal to -30.
To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.
To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)
In this case, a = 1, b = 12, and c = 6.
Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.
To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)
So, the vertex is (-6, -30).
To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)
Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.
Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).
The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)
Thus, the y-intercept is (0, 6).
The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.
The domain of the function is all real numbers since there are no restrictions on the possible input values of x.
To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.
Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).
As a result, the range of the function is all real numbers greater than or equal to -30.
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What value is equivalent to (8+2)2 + (6 − 4) × 3?
Answers
Answer:
26
Step-by-step explanation:
PEMDAS
8 + 2 = 10
6 - 4 = 2
10 x 2 = 20
2 x 3 = 6
20 + 6 = 26
40. Noor is packing chocolates into boxes. The boxes come in small, medium and large sizes. A large box holds twice as many chocolates as a medium box and three times as many chocolates as a small box. Noor fills three times as many small boxes as medium boxes and twice as many medium boxes as large boxes. Altogether she packs 1296 chocolates. In total, how many chocolates does she pack into the small boxes.
Answers
The number of chocolate which goes into the small boxes is 100 chocolate
EquationChocolate in small boxes = xChocolate in medium boxes = 3xChocolate in large boxes = 3x + 2(3x)= 3x + 6x
= 9x
Total chocolate = 1296x + 3x + 9x = 1296
13x = 1296
x = 1296/13
x = 99.6923076923076
Approximately,
x = 100 boxes
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What kind of angles are 4 and 7?
4
M
N
A. corresponding
B. alternate interior
C. same side interior
Answers
Answer:
See my question............
Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = e^-x
Y = 1
X = 2
About the Y = 2
Answers
Answer:
\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)
Step-by-step explanation:
This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution. I'll show how to do it with both:
Shell Method (Horizontal Axis)
\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)
Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)
Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))
Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)
Plugging in our integral, we get:
\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)
Washer Method (Parallel to x-axis)
\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)
Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))
Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))
Bounds: \([a,b]=[0,2]\)
Plugging in our integral, we get:
\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)
\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)
Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!
A graph has the domain 1≤x<51≤x<5. Describe the end points of the graph. Include where the end points are, what they look like on the graph, and if the corresponding y-values are included in the range of the function.
Answers
Answer:
24<x
Step-by-step explanation:
you need to multiply the numbers then you add the 51 to the answer
Solve by Factoring:
2x^2 - x - 3 = 0
Answers
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
If the probability that a randomly chosen college student takes statistics is 0.24, then what is the probability that a randomly chosen college student does not take statistics? Give your answer as a decimal.
Answers
Answer:
The probability that a randomly chosen college student does not take statistics is 0.76.
Step-by-step explanation:
The probability of an event happening and the probability of its complement (the event not happening) must add up to 1. Therefore, if the probability that a randomly chosen college student takes statistics is 0.24, then the probability that they do not take statistics is:
1 - 0.24 = 0.76
So the probability that a randomly chosen college student does not take statistics is 0.76 or 76%.
A researcher conducts an ANOVA analysis and reports no differences in average certification exam test scores for nurses identified as Baby Boomers, Millennials or Generation X. You would expect to see:
Answers
Answer:
"Type II error" is the right answer.
Step-by-step explanation:
A type II mistake would be that a fake null hypothesis also isn't rejected. It's also called false negatives.It happens whenever an investigator does not eliminate a truly wrong null hypothesis. Here quite a scientist determines that whenever it genuinely exists, that there's no substantial consequence.Thus the above is the right answer.
A circular arc has measure 6cm and is intercepted by a central angle of 40°
Answers
Answer:
We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:
Length of arc = (central angle measure / 360) x 2πr
where r is the radius of the circle.
Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:
6 = (40/360) x 2πr
Simplifying the fraction and solving for r, we get:
6 = (1/9) x 2πr
r = 9 x 6 / 2π
r = 27/π
So the radius of the circle is 8.59 cm (rounded to two decimal places).
evaluate the following expressions when x=-4 and y=4
Answers
Answer:
1025/4
Step-by-step explanation:
x^6 - x
---------------
4y
Let x =-4 and y = 4
(-4)^6 - (-4)
---------------
4*4
4096 +4
------------------
16
4100/16
1025/4
The answer is C. 1025/4
f(x) = x2
g(x) = (x +4)^2 - 1
We can think of g as a translated (shifted) version of f.
Hurry I am in summer school and almost done I need help ASAP!
Answers
Answer:
down by 1 unit and left by 4 units
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Then
g(x) = (x + 4)² - 1
is f(x) shifted down by 1 unit and shifted left by 4 units
PLS HELP DUE TODAY
Equation and explain
Answers
Answer:
8 divided by 1/4 = 2
12 divided by 1/4 = 3
more cows were put in the barn
Step-by-step explanation:
8 horses 1/4= 2
12 horses 1/4= 3
24 boys, 45 girls and 281 adults are the members of a badminton club.
50 more children join the club.
The number of girls is now 18% of the total number of members.
How many of the 50 children were boys?
Answers
24+45+281+50=400
(45+n/400)×100=18
45+n=18×4=72
n=72-45=27
50-27=23.
hope it's correct
23 of the 50 children added were boys. The answer is 23 boys
Given that 24 boys, 45 girls and 281 adults are the members of a badminton club.
Total number of people as members of badminton = 24 + 45 + 281 = 350
Percentage of girls = girls/total number x 100
% of girls = 45/350 x 100
% of girls = 12.9%
If 50 more children join the club, and the number of girls is now 18% of the total number of members. Then, the new total number of members will be
New total members = 350 + 50 = 400
Let g = new added girls from the children
Percentage of girls = girls/total number x 100
18 = (g + 45) / 400 x 100
18/100 = (g + 45) / 400
cross multiply
0.18 x 400 = g + 45
72 = g + 45
make g the subject of formula
g = 72 - 45
g = 27 girls
To get the number of boys added, take 27 away from the 50 children. That is,
The number of boys added = 50 - 27 = 23 boys
Therefore, 23 of the 50 children added were boys
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Type the correct answer in each box.
Answers
Answer:
X = 30 degrees, z = 80 degrees and y = 70 degrees
Find the value of y when x=2 y=1/7(x+5)
Answers
Answer:
y = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
y = 1/7(x + 5)
x = 2
Step 2: Evaluate
Substitute in x: y = 1/7(2 + 5)(Parenthesis) Add: y = 1/7(7)Multiply: y = 113 - 2n = 27
Whats n?
Answers
Answer:
n=-7
Step-by-step explanation:
-2n+13=27
Answer:
n = -7
Step-by-step explanation:
13 - 2n = 27
-2n = 27 - 13
-2n = 14
n = -14 ÷ 2
n = -7
Find the product for the following expressions:
(8c + 2)(5c-7)
Answers
Answer:40c^2-46c -14
Step-by-step explanation:
(8c+2)*(5c-7)
8c*(5c-7)+2(5c-7)
40c^2-56c+10c-14
40c^2-46c-14
Answer:
(8c + 2)(5c-7) = 40c²-46c-14Explanation:
(8c + 2)(5c-7) = 40c²-56c+10c-14
(8c + 2)(5c-7) = 40c²-46c-14
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
Answers
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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Shirley, Benny, and Gil have a coupon for $2.00 off a large pizza. They each pay one
third of the total after the discount. If each person pays $6, how much was the total
before the discount?
Answers
Answer:
20 dollars
Step-by-step explanation:
Because there is 3 people according to where it said the amount of names there are and they each had to pay 6 dollars. 6 x 3 is 18. That is the price after discount. The coupon is 2 dollars so 18 + 2 is 20 dollars. That is the final price.
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
Answers
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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The perimeter of this rectangle is 24cm. If the length is 8 cm, what is the height?
Answers
Answer:
4
Step-by-step explanation:
P = s+s+s+s
length = 8
8x2=16
24-16=8
8 / 2 = 4
Answer:
h = 4 cm
Step-by-step explanation:
\(2(l + h) = 24 \\ l + h = \frac{24}{2} \\ l + h = 12 \\ 8 + h = 12 \\ ..(plug \: l = 8) \\ h = 12 - 8 \\ h = 4 \: cm \\ \)
solve for 8v = 3v + 25
Answers
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)