The probability of flipping tails at least two times in three flips is 1/2.
When flipping a coin, there are two possible outcomes: heads or tails. Each flip is independent of the previous flips, so the probability of getting tails on any given flip is always 1/2 (assuming the coin is fair).
To find the theoretical probability of flipping tails at least two times in three flips, we can use the binomial probability formula:
P(x ≥ k) = 1 - P(x < k)
where P(x < k) is the probability of getting tails fewer than k times in three flips.
To find P(x < k), we can add up the probabilities of getting tails 0 times and getting tails 1 time:
P(x < 2) = P(0 tails) + P(1 tail)
P(0 tails) = (1/2)⁰ x (1/2)³ = 1/8
P(1 tail) = 3 x (1/2) (1/2)² = 3/8 (since there are three ways to get exactly one tail: TTH, THT, HTT)
P(x < 2) = 1/8 + 3/8 = 1/2
Therefore, the probability of flipping tails at least two times in three flips is:
P(x ≥ 2) = 1 - P(x < 2) = 1 - 1/2 = 1/2
So the theoretical probability of flipping tails at least two times in three flips is 1/2 or 0.5 as a decimal.
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Question
Find the equation of the line shown.
-4-3
9 10
3
2
O-
27
-5
1 2 3 4
The equation of the line for the given points is y= (1/2)x - 3.
An equation of a line can be written in slope-intercept form, which is:
y = mx + b
where:
y and x are the coordinates of any point on the line.
m is the slope of the line (the rate at which y changes with respect to x).
b is the y-intercept of the line (the y-coordinate of the point where the line intersects the y-axis).
The slope of the line is calculated as,
m = ( y₂ -y₁) / (x₂ - x₁)
m = ( -2+1) / (2-4)
m = 1/2
The y-intercept is calculated as,
y = mx + c
-1 = (1/2)x 4 + c
c = -3
The equation of the line will be,
y = mx + c
y = (1/2)x - 3
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ayer compre 3/4 kg de papas y hoy 1/2 kg cuantos kg tengo en total
Brett is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 12 1 4 inches. He needs to cut another rectangle that is 10 1 3 inches by 10 1 4 inches. How many total square inches of construction paper does Brett need for his project? Mixed numbers
Brett needs a complete of [tex]322 \frac{5}{6} ^{2}[/tex] inches of construction paper for his project.
The area of a rectangle is calculated through multiplying its length by its width. consequently, to discover the entire amount of square inches of construction paper Brett needs for his project, we want to calculate the area of each rectangle after which add them collectively.
The area of the primary rectangle is:
16 inches × 12 1/4 inches = 196 square inches
The area of 2nd rectangle is:
10 1/3 inches × 10 1/4 inches = (31/3) inches × (41/4) inches = 126 5/6 square inches
To add those areas collectively, we need to convert 2nd area to a mixed number:
126 5/6 square inches = 126 square inches + 5/6 square inches
Now we can add the 2 areas collectively:
196 square inches + 126 square inches + 5/6 square inches = 322 5/6 square inches
Therefore, Brett needs a complete of [tex]322 \frac{5}{6}^{2}[/tex] inches of construction paper for his project.
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Find the sum of 3√5 and 4√25 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
The sum of 3√5 and 4√25 is an irrational number.
First, simplify the expressions inside the square roots:
3√5 = 3√(5×1) = 3√5
4√25 = 4√(25×1) = 4×5 = 20
Now, we add them together:
3√5 + 4√25 = 3√5 + 20
This is the simplest form since 20 is already a rational number and we cannot simplify the square root of 5 any further.
To determine whether the result is rational or irrational.
Since 3√5 is irrational and cannot be simplified any further, the expression as a whole is also irrational.
Therefore, the sum of 3√5 and 4√25 is an irrational number.
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3 more than the difference of 20 and a number m
Step-by-step explanation:
(20 - m) + 3
that's it. there is not more to it.
The algebra expression can be expressed as: 3 + (20 - m)
How to solve Algebra word problems?Algebraic word problems are defined as questions that require translating sentences to equations, and then solving those equations. The equations we need to write will only involve basic arithmetic operations. and a single variable. Normally, the variable represents an unknown quantity in a real-life scenario.
We are told that 3 more than the difference of 20 and a number m.
This can be expressed as:
3 + (20 - m)
That is the literal expression of the algebra word problem.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The axis represents a students age in years and the y-axis represents the number of times the student cried each month on average. What type of data represented in this scatterplot? (Choose 2 )
Decreasing
Increasing
Bivariate
Univariate
Paula is investing $5,000 in an account that earns 4.10% APR compounded quarterly. How much
money will she have in 25 years?
$15,556.84
Paulanwill have approx $15,556.84 if she investb$5k that earns 4.10% apr compound quarterly..
Answer:
I’m pretty sure it’s $11,780.60
Step-by-step explanation:
We can use the formula for compound interest to determine how much money Paula will have in 25 years:
A = P(1 + r/n)^(nt)where:A = the total amount of money after t years
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, we have:
P = $5,000
r = 4.10% = 0.041 (as a decimal)
n = 4 (compounded quarterly)
t = 25 years
Plugging these values into the formula, we get:
A = $5,000(1 + 0.041/4)^(4*25)
A = $5,000(1 + 0.01025)^100
A = $5,000(1.01025)^100
A = $5,000(2.356)
A = $11,780.60
Therefore, Paula will have approximately $11,780.60 in her account after 25 years.
Wally wants to add a fence to the back of his house to make some room for his children to play safely (see diagram
below). He began measuring his yard but got distracted and forgot to finish measuring before he went to the store. If
he remembers that the back wall of his house is 15 yards long, how much fencing does he need to buy?
The fencing that Wally needs more in 81 feet
How to solve for the fencingA D = E F
A F = DE
AD = AB + BC + CD
Length of the back wall = 15 m
1 y ard = 3 ft
15 ya rds = 15 x 3 = 45
AD EF is a rectangle
5 + 45 + 3 feet
= 53 feet
Then the amount of the fencing that would be required is given as
5 feet + 3 feet + 10 feet + 10 feet + 53 feet
= 81 feet
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marking as brainlist please help!!!
The missing angle C of the given triangle using law of cosine is: 62.1°
How to use law of cosine?The Law of Cosines is defined as a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them.
Numerically, the Law of Cosines can be communicated as:
c² = a² + b² - 2abcos(C),
where c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.
Thus:
90² = 55² + 50² - 2(55 * 50)cos(C),
2575 = 5500 cos C
2575/5500 = cos C
cos C = 0.4682
C = cos⁻¹0.4682
C = 62.1°
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The data shows the weight of the potting soil brought by each student. Draw a line plot and answer the questions below. 1 1/2 kg 3/4 kg 1 1/2 kg Title: 1 kg 1 1/2 kg 2 kg 3/4 kg 2 kg 3/4 kg Roading and Math for K-5 2 kg 2 kg 2 kg 2 1/2 kg 3/4 kg 1 kg 1. How many students brought 3/4 kg of soil? 2. How many students brought less than 1 1/2 kg? 3. How many students brought 1 kg or more? 4. How many fewer students brought 1 kg than 2 kg? 5. How many students brought more than 1 1/2 kg but less than 2 1/2 kg? 6. How much soil was brought by all the students together?
Answer:
|
| 3/4 kg
| x
|
| x
| x
| x
| x
| x
| x
|_________
1 kg 1 1/2 kg 2 kg 2 1/2 kg
Two students brought 3/4 kg of soil.
Four students brought less than 1 1/2 kg of soil (the ones who brought 3/4 kg and the one who brought 1 kg).
Eight students brought 1 kg or more of soil.
Two fewer students brought 1 kg than 2 kg (two students brought 1 kg and four students brought 2 kg).
Two students brought more than 1 1/2 kg but less than 2 1/2 kg (the ones who brought 2 kg).
The total amount of soil brought by all the students is:
Copy code
1 1/2 kg + 3/4 kg + 1 1/2 kg + 1 kg + 2 kg + 3/4 kg + 2 kg + 2 kg + 2 kg + 2 1/2 kg + 3/4 kg
= 19 3/4 kg
Step-by-step explanation:
Answer:
Step-by-step explanation:
it is timed by 1 1/2kg
Given the triangle ABC at points A = ( 2, 2 ) B = ( 4, 5 ) C = ( 6, 3 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.
To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:
1. Reflect A over the y-axis to get A': (-2, 2)
2. Reflect A' over the x-axis to get A'': (-2, -2)
Therefore, the new point A'' is (-2, -2).
Find the Fourth vertex
The vertex of the parallelogram is (5, 13)
We know that in a parallelogram the opposite sides are equal
AB=√(-3-4)²+(-6+3)²
=√49+9
=√58 units
BC=√(6-4)²+(2+3)²
=√4+25
=√29 units
AD=√(-3-x)²+(-6-y)²
AD=√58 units
√58 units=√(-3-x)²+(-6-y)²
58 units=(-3-x)²+(-6-y)²
Now CD=√(6-x)²+(2-y)²
29 units=(6-x)²+(2-y)²
x=5 and y=13 satisfies the equation
Hence, the vertex of the parallelogram is (5, 13)
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I need help with this problem.
According to the information, the elasticity is 0.619, suggests that the demand is relatively insensitive to price changes.
How to calculate the elasticity?To evaluate the elasticity at $p=2$, we need to use the formula for price elasticity of demand:
E = (dQ/Q) / (dP/P)
where:
E = price elasticity of demand
dQ = change in quantity demanded
Q = quantity demanded
dP = change in price
P = price
We are given the equation for the demand function:
x = 15000 - 3535√p
So, the quantity demanded at price $p$ is $Q = x(p) = 15000 - 3535\sqrt{p}$.
Taking the derivative of Q with respect to p:
dQ/dp = -3535/(2√p)
Now we can calculate the elasticity at $p=2$:
Q = 15000 - 3535√2
dQ/dp = -3535/(2√2)
P = 2
dP = 0
E = (dQ/Q) / (dP/P)
E = (-3535/(2√2)) / [(15000 - 3535√2)/2]
E ≈ -0.619
According to the above, the elasticity is 0.619, suggests that the demand is relatively insensitive to price changes.
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If a perimeter of a figure is 56 m
What is the area ?
The perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m
The perimeter of square = ( 4 ) ( side )
( 4 ) ( side ) = 56
side = 56 ÷ 4
side = 14 m
The area of the of the rectangle is 8m² less than the area of the square
Area of the square = ( side )²
Area = ( 14 )²
Area = 196 m²
Now, the area of the rectangle = ( length ) × ( breadth )
Area = 196 - 8
Area= 188 m²
( length ) × ( breadth ) = 188 m²
Length = 16
( 16 ) × ( breadth ) = 188
Breadth = 188 ÷ 16
=11.75 m
Hence, the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m
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the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m find its breadth
please help I am bad at maths
a) The principal of the account is given as follows: 1238.27 euros.
b) The interest rate of the account is given as follows: 4.3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.We can take the ratio between the balances two consecutive years to obtain the interest rate as follows:
r = 1569.4/1504.5 - 1
r = 1.0431 - 1
r = 0.043
r = 4.3%.
After 5 years, the balance was of 1504.50, hence the principal is obtained as follows:
1504.5 = P(1 + 0.043 x 5)
P = 1504.5/(1 + 0.043 x 5)
P = 1238.27 euros.
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I need help with this please
Answer: a. d. f.
Step-by-step explanation:
Sarah has 14 cupcakes she gives 3/7 away how many cupcakes did she give away
Answer:
she gave away 6 cupcakes
Step-by-step explanation:
3/7 is the same as 6/14.
if she gave away 6/14 cupcakes, she gave away 6 cupcakes
3.
Find the arc length of AB.
3 cm
P 64°
A
B
PLEASE SHOW WORK!
The measure of the arc length AB is [tex]\frac{16\pi }{15}[/tex] centimeters.
What is the measure of the arc length?An arc length is simply the distance between two points along a section of a curve.
The arc length is expressed as:
s = 2πr × (θ/360°)
Where s is the arc length, r is the radius, θ is the angle and π is constant pi.
Given that:
Radius r = 3cmAngle θ = 64 degreeArc length s = ?Plug the values into the above formula
s = 2πr × (θ/360°)
s = 2 × π × 3cm × ( 64°/360°)
[tex]s = \frac{16\pi }{15} cm[/tex]
Therefore, the arc length is [tex]\frac{16\pi }{15}[/tex] cm.
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[1/5x-4+2y]-[2/5x+5-4y]
Figure it out for my son.
Answer:
-x/5+6y-9
Step-by-step explanation:
This is simplified. I hope this helped you!
please find the area with the formula or how you found the anwser use link below
The equivalent expression for 8y + 12 + 2y + 8 will be 10y + 20.
The number of problems that she get wrong is 4.
The days that Jared work to make 20 bird houses is 15 days.
How to calculate the valueThe equivalent expression for 8y + 12 + 2y + 8 will be:
= 8y + 12 + 2y + 8
= 10y + 20
The number of problems that she get wrong is:
= (1 - 84%) × 25
= 0.16 × 25
= 4.
The days that Jared work to make 20 bird houses is:
= 3/4 × 20
= 15 days.
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Write an equivalent expression for 8y + 12 + 2y + 8
Maria’s math test had 25 questions. She got 84% correct. How many problems did she get wrong?
Jared made 4 bird houses in 3 days. How many days will Jared work to make 20 bird houses?
Determine whether the ordered pair is a solution to the given equation.
(−4, 24); y = −6x
Answer: Yes, (-4, 24) is a solution to the given equation.
Step-by-step explanation:
24 = -6(-4)
24 = 24
Find the sum of the first 5 terms of the geometric sequence 3, -9, 27,....
The sum of the first 5 terms of the sequence is 183.
We have,
The first term of the sequence is 3 and the common ratio is -3.
We can use the formula for the sum of the first n terms of a geometric sequence:
Sn = a(1 - r^n) / (1 - r)
where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
Plugging in the values we have:
S5 = 3(1 - (-3)^5) / (1 - (-3))
Simplifying:
S(5) = 3(1 + 243) / 4
S(5) = 3(244) / 4
S(5) = 183
Therefore,
The sum of the first 5 terms of the sequence is 183.
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The RSM geometry Principal test has 8 true-false questions. In how many ways can a student answer these questions?
Thank you :)
Answer:
256 ways-------------------------
Each question can be answered either true or false, giving two possible choices for each of the 8 questions.
Therefore, the total number of ways to answer the questions is the product of the number of choices for each question, which is:
2⁸ = 256Write an inequality to represent the domain of the situation :
Write an inequality to represent the range of the situation :
If the equation of the function is c (x) = n (1.35)^x, the value of n is :
An inequality to represent the domain of the situation: 0 ≤ x ≤ 6
An inequality to represent the range of the situation: 4 ≤ y ≤ 24
If the equation of the function is [tex]c(x) = n(1.35)^x[/tex], the value of n is: 4.
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of this logarithmic function shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [0, 6] or 0 ≤ x ≤ 6.
Range = [4, 24] or 4 ≤ y ≤ 24.
Next, we would determine the value of n by using the y-intercept (0, 4);
[tex]c(x) = n(1.35)^x\\\\4=n(1.35)^0[/tex]
n = 4.
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10 points!
Please explain how you reached your answer!!
(Question 3)
Answer: c
Step-by-step explanation: I’m smart
Jamal and his dad went scuba diving. They went on a 54-foot dive, descending from a motor boat located on the Gulf of Mexico. The boat was located
at sea level.
Where on a number line would you plot a point to represent the boat's location?
Need answer ASAP please!
What is the total perimeter
Answer:
12 + 3 + 12 + (1/2)π(3) = 27 + (3/2)π ft
= 31.71 ft
The temperature in Toronto one afternoon was 14° F. The temperature that same night fell to -5° F.
What was the difference in temperatures?
Answer: The difference in temperatures was 19°F.
Step-by-step explanation:
Answer:
19F
Step-by-step explanation:
answer please........
The distance along the trail from X to Y, to the nearest tenth of a meter, is 600 meters.
How to find the distance ?The distance between X and Y is on a straight path from X to Y or Y to X. This means that the distance between X and Y can be found by finding the distance between the contour lines.
The distance between the contour lines is:
= Elevation of Y - Elevation of X
= 1, 900 - 1, 300
= 600 meters
In conclusion, the distance along the trail between X and Y is 600 meters.
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What does the acronym VAT represent?
Answer:
Value-Added Tax
Step-by-step explanation:
Value-added tax (VAT) is a consumption tax on goods and services that is levied at each stage of the supply chain where value is added, from initial production to the point of sale.
