The estimated probability that the sum of five dice will be 26 is 0.0053
What is meant by Estimated Probability?Estimated Probability: Estimated probability is an approximation, or estimate, of theoretical probability. The larger the number of trials, the more accurate we expect this approximation to be. If E consists of a single outcome s, we refer to P(E) as the probability of the outcome s, and write P(s) for P(E)
N = Number of Repeated Process = 10,000
n = Number of times the sum of the five tosses equaled 26 = 53
The estimated probability that the sum of the five dice will be 26 = n/N
Where n = 53
And N = 10,000
Using the above formula, we have the following:-
n/N becomes
n/N = 53/10,000
n/N = 0.0053
Hence, the estimated probability that the sum of five dice will be 26 is 0.0053
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y=−2x+4y, equals, minus, 2, x, plus, 4
Complete the missing value in the solution to the equation.
The missing value in the solution to the equation y = -2x+4y is y.
According to the question,
We have the following information:
y = -2x+4y
y equals minus 2 x plus 4.
Now, look at the equation, we know that the solution of y is -2x+4y.
Now, the statement that is given is incomplete because we have 4 is multiplied by y.
(More to know: this equation can be further solved. We have y = -2x+4y. Now, we can move the same variables to one side. So, we have -3y = -2x. Now, the two negative signs when divided gives the positive result.)
Hence, the statement can be completed by y.
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The distance between Dallas and Austin on a map is about 9 centimeters. The map uses a scale in which 1 centimeter represents 20 miles. What is the actual distance between Dallas and Austin in miles?
help please
The actual distance between Dallas and Austin in miles is 180 miles.
What is Unit conversion?Conversion of units means to convert between different units of measurement for the same quantity. Example of units are - m, cm, litre.
Given is the distance between Dallas and Austin on a map is about 9 centimeters. The map uses a scale in which 1 centimeter represents 20 miles.
The maps use scale in order to depict large distances with very small length measurements. As mentioned in the question - 1 cm represents 20 miles. This scale shrinks 20 miles of distance into 1 cm
Distance between Dallas and Austin on a map - 9 cm
On map - 1 cm = 20 miles
Therefore, 9 cm will be equivalent to (9 x 20) or 180 miles.
Hence, the actual distance between Dallas and Austin in miles is 180 miles.
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Guys I need help is this right?
Answer:
The answer is C.
Please help me asap!!!!! Worth 20 points
Answer:
Step-by-step explanation
Third, second, first.
The third has 5% chance that it will get the investor its money back, second having a 34% of the investor getting its money back, and the first having a 54% chance. Hope this was quick enough for you!
Which is an equivalent expression using a positive exponent?
(3/5)^-8 ÷ (3/5)^-4
(3/5)^4
(3/5)^12
(5/3)^32
(5/3)^4
The equivalent expression using a positive exponent is (5/3)⁴ .
If an expression was created utilizing integer variables, constants, and algebraic operations, it is said to be algebraic (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
However, since they are not produced by using integer constants and algebraic operations, transcendental numbers like such and e are not algebraic. The production of is commonly stated as a geometric expression, although the definition of e requires an infinite number of algebraic operations.An expression is said to be rational if it can be reduced to an acceptable fraction using the characteristics of arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).A positive expression is given as (3/5)⁻⁸ ÷ (3/5)⁻⁴ .
Using the properties of exponents we can calculate the expression as:
(3/5)⁻⁸⁺⁴ = (3/5)⁻⁴ = (5/3)⁴
Hence the required expression is (5/3)⁴
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bro please
Which graph represents the inequality 2.5 is less than the product of −0.5 and a number?
number line with open circle on point 0.2 and arrow shaded to the left
number line with open circle on point negative 5 and arrow shaded to the left
number line with open circle on point negative 0.2 and arrow shaded to the right
number line with open circle on point negative 5 and arrow shaded to the right
A graph represents the inequality 2.5 is less than the product of −0.5 and a number is: D. number line with open circle on point negative 5 and arrow shaded to the right.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.
In order to solve this word problem, we would assign a variable to the number and then translate the word problem into an algebraic equation as follows: Let x represent the number.
Translating the word problem into an algebraic equation, we have;
2.5 < -0.5x
Next, we would solve the given inequality as follows:
2.5/0.5 < -0.5x/0.5
5 < -x
x > -5
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Is there a dilation that maps shape I onto shape II? If so, what is the scale factor and is it an enlargement or a reduction?
Give me the actual answer, not explanation, for 10 points
The scale factor for the graph will be 3 and there will be enlargement.
The scale factor may be defined as the ratio of two dimensions such that one figure is large, and another is small. The scale factor is done due to the unpractical measurement of any figure. For example, if a figure is a scale copy of the scale factor of 6/2 it means 2 is converted into 6. We can use the following points to know about enlargement.
A(1, 1) ⇒ A'(3, 3)
B(2, 1) ⇒ B'(6, 3)
C(1, 2) ⇒ C'(3, 6)
D(2, 2) ⇒ D'(6, 6)
Now, to find the scale factor, simply divide the Point' with the original Point. Use any number.
A'(3, 3)/(A(1, 1)) = 3
B'(6, 3)/(B(2, 1)) = 3
C'(3, 6)/(C(1, 2)) = 3
D'(6, 6)/(D(2, 2)) = 3
which shows that the scale factor is 3.
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4(w − 971) = –384
w =
Stuck
Step-by-step explanation:
you can ask questions for clarification
guys please help e with this one too
Answer:
C. t = 3/5
Step-by-step explanation:
[tex]10t + 4 - 2t = 2 - 2(t - 4)[/tex]
[tex]4 + 8t = 2 - 2t + 8[/tex]
[tex]4 + 8t = 10 - 2t[/tex]
[tex]4 + 10t = 10[/tex]
[tex]10t = 6[/tex]
[tex]t = .6 = \frac{3}{5} [/tex]
Which postulate or theorem proves A MNQA PNQ?
AAS
ASA
HL
SAS
Answer: AAS
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Evaluate a + b for a = 2 and b = 3.
Answer: 5
Step-by-step explanation: Substitute the value of the variable into the expression and simplify
Please help me asap
y=2x+2 y=-1/2x-3 what is the solution?
•(-2,1)
•(-2,-2)
•(-2,-1)
•(2,-2)
Answer: (-2, -2)
Step-by-step explanation:
Since both equations are set equal to y,
[tex]2x+2=-\frac{1}{2}x-3\\\\\frac{5}{2}x=-5\\\\x=-2\\\\\implies y=2(-2)+2=-2\\\\\therefore (x,y)=(-2, -2)[/tex]
what is the slope of y=5x+7
Answer: 5
Step-by-step explanation: This equation appears in the Slope-Intercept form, which is Y=Mx+B. In which Y is the coordinate, M is the slope, X is the coordinate and B is the Y-Intercept, or where the line passes the Y-Axis.
Answer: the slope of this equation is 5
Step-by-step explanation: the term "5x" represents the slope of this equation.
slope-intercept form: y = mx + b
m = slope
b = y-intercept
what is negative five times negative one third
Answer:
The answer is to this problem is five over three
Abby and Lexi each open a savings account on the same day. Both accounts accrue simple interest. The function f(t) = 10t + 500 models the amount of money in Abby’s account over time. The function g(t) = 11.25t + 450 models the amount of money in Lexi’s account over time. Select all the statements that are true of this situation.
The number of months where they will both have same amount in their accounts is 40 months.
How to illustrate the information?From the information given, the function f(t) = 10t + 500 models the amount of money in Abby’s account over time and the function g(t) = 11.25t + 450 models the amount of money in Lexi’s account over time.
It should be noted that the number of years when there value will be the same is:
10t + 500 = 11.25t + 450
Collect like terms
11.25t - 10t = 500 - 450
1.25t = 50
Divide
t = 50/1.25
t = 40
In 40 months, Abby and Lexi will have same amount.
Note that an overview was given as the information is incomplete.
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The length of a piece of rope is 19.5 feet. Molly needs to cut the rope into pieces 2 feet long. How many pieces can she make?
Answer: 9
Step-by-step explanation:
1. To divide by 2 you need an even number, and the closest even number below 19.5 is 18.
2. 18 feet divided by 2 feet per piece of rope equals nine pieces of rope.
Solve for X!
Please help
In the given triangle,
sides vx and vw are equal,
and ∠v = 40°
∠w = ∠x (Adjacent angles of the equal sides of a triangle are equal)
Also, ∠v + ∠w + ∠x = 180° (Angle sum property of a triangle)
⇒ 40° + ∠x + ∠x = 180°
⇒ 2∠x = 140°
⇒∠x = 70°
What are Isosceles Triangles?The term "isosceles triangle" refers to a triangle with two equal sides. The isosceles triangle has equal sides and equal measures for two of its three angles. This results in an uneven angle. Assume that if the measure of an unequal angle is given to us, we can quickly determine the other two angles using the angle sum property. The isosceles triangle can be characterized as acute, right, or obtuse depending on the angle formed by the two legs. The isosceles triangle can be sharp if the two angles across from the legs are equal and smaller than 90 degrees (acute angle).A right isosceles triangle has two equivalent sides, one of which serves as the triangle's base and the other as its perpendicular. The third uneven side is known as the hypotenuse. As a result, we may employ the well-known Pythagoras theorem, which states that the hypotenuse's square equals the sum of its base and perpendicular squares.
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let g be a translation 2 units up, followed by a reflection in the x-axis and vertical stretch by a factor of 4 of the graph of f(x)=x2
The equation the function after the transformation is g(x) = -4x² - 8
How to determine the transformation of the function?The equation of the function is given as
f(x) = x²
The sequence of transformations is given as follows:
Translate up by 2 unitsReflection across the x-axisVertically stretched by a factor of 4When the above transformations are combined, we have:
Translate up by 2 units: g(x) = f(x) + 2Reflection across the x-axis: g(x) = -(f(x) + 2)Vertically stretched by a factor of 4: g(x) = -4(f(x) + 2)So, we have
g(x) = -4(x² + 2)
Expand
g(x) = -4x² - 8
Hence, the function g(x) is g(x) = -4x² - 8
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Oct 13, 5:31:26 PM
My Stu...
Tasks -...
Classw...
G https://...
Violet has a points card for a movie theater.
• She receives 45 rewards points just for signing up.
She earns 2.5 points for each visit to the movie theater.
. She needs 75 points for a free movie ticket.
DeltaMa...
Which equation or tape diagram could be used to represent the context if v
represents the number of visits Violet must make to earn a free movie ticket?
Equation that can be used to represent the number of visits Violet must make to earn a free movie ticket is:
2.5v+45=75
What is an equation?A formula that expresses the equality of two expressions, by connecting them with the equals sign '= 'is called an equation
Unknowns are the variables for which the equation is solved and unknown values that satisfy the equation are called solutions.
Firstly, multiply 2.5 by the number of visits (v) to calculate how many points Violet earned in total.
Now add 75 to the product of 2.5(v) because Violet started with 75 points.
To find out how many times Violet would require to visit the movie theater to get a free movie ticket:
Subtract 45 from 75, that leaves you with 30, and after dividing that by 2.5, the number of points per visit comes out to be 12
Violet would need to visit the theater 12 times to earn a free movie ticket.
To check if that's right, substitute the value of 'v' in the equation,
12*2.5 + 45 = 75
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Solve the inequality 3(x-2) + 12x + 2(x+2).
O A. x≤4
Co B. x2-5
C. no solution
OD. all real numbers
The inequality x > 0 , x all real numbers .
What do you mean by inequality?
The phenomena of unequal and/or unjust allocation of resources and opportunities among members of a certain society is referred to as inequality. Different persons and contexts may interpret the word "inequality" differently.The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity.= 3(x-2) + 12x + 2(x+2)
= 3x - 6 + 12x + 2x + 4
= 12x + 2x + 3x -6 + 4
= 17x - 2
17x - 2 = 0
x = 2/17
x > 0 , x all real numbers ..
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Determine the values of m in the equation m2 = 16.
answers are
m = ±4
m = 4
m = ±8
m = 8
Answer:
I'll assume m2 is m^2
m = ±4
Step-by-step explanation:
1. m = ±4 m^2 = 16 YES. Both -4 and 4, when squared, are equal to 16
2. m = 4 This also works, but it doiesn't allow for the possibility that m is a -4
3. m = ±8 8^2 = 64 and (-8)^2 = 64 Don't work.
4. m = 8 8^2 = 64 Doesn't work.
Please help me I keep getting the wrong answer :(
Answer:
Step-by-step explanation:
Problem 2:
Count the blocks.
You can find 1 1000 block
You can find 2 100 block
You can find 3 10 block
You can find 6 1 block.
Together it is 1236.
Problem 3:
Expanded notation is the number listed in groups of base 10. To solve, just put the number of blocks and the block number.
(1 x 1000)+(2 x 100)+(3 x 10) + (6 x 1)
Problem 4:
Find the number between the clues.
Since A is close to 100 and less than 100, you could put 75, which is close to 100 but not quite enough.
Since B is pretty close to a 100 but greater than 100, you could put 110.
Since C is in the middle of both 100 and 200, you could put 150 because it's in the middle of both numbers.
Since D is in between C which is 150 and 200, you could put 175 as that is half of both numbers.
Since E is close to 200 but bigger than D which is 175, you could put 180.
Please help me with this lesson on ixl! I don't understand.
Answer:
8/25
Step-by-step explanation:
change the 5/4 into a 4/5 and change the divide into a mulltiple while you do this
then multiply 2 x 5 = 8
5 x 5 = 25
How many gallons of water will be in the
fish tank after 3 minutes? Explain your
reasoning (HURRY I NEED THIS ANSWER STEP BY STEP )
As a result, 4.8 litres of water will be in the fish tank after three minutes if the water release rate is 1.6 gallons per minute.
What is the concept of Linear system?A linear system is a mathematical representation of a system in systems theory that relies on the application of a linear operator. Compared to nonlinear systems, linear systems often have significantly simpler traits and properties. Linear systems are widely used in automatic control theory, signal processing, and telecommunications as a mathematical abstraction or idealization.
for 0.5 minutes , 0.8 gallons of water is required
To convert to gallons per minute, multiply by 2.
1.6 gallons per minute (0.8 x 2)
Gallons per minute multiplied by three minutes
3.0 minutes = 4.8 liters (1.6 x 3)
Therefore, 4.8 litres of water will be in the fish tank after 3 minutes if per minute water released is 1.6 gallons
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The complete question is:
How many gallons of water will be in the fish tank after 3 minutes? 0.5 mins = 0.8 gallons
Ten minutes after jumping into the ocean, a
diver is 25 feet below the surface. After 30
minutes, the diver has descended 75 feet. How
fast was the diver descending?
compute, using integration, the area of a circle of radius r centered at the origin by considering this as the area of a region bounded by two curves.
The area of the circle of radius r centered at the origin is π[tex]a^{2}[/tex]
Since the circle is symmetrical in relation to the x and y axes, we can calculate the area of a quarter of a circle and multiply it by 4 to get the entire circle's area.
The equation y y = + mn [a 2 - x 2] must be solved.
Y = [a 2 - x 2] = a [1 - x 2 / a 2] is the equation for the upper semicircle (y positive).
Using integrals, we can calculate the area of the circle's top right quarter as shown below.
(1 / 4) Circle's area is equal to 0a a [1 - x 2 / a 2]. dx
Let's replace x/a with sin t to make sin t equal to x/a, dx equal to a cos t dt, and the area is given by
The formula for area of a circle is (1 / 4) Area of circle = 0/2 a 2 (1 - sin2 t) cos t dt
Now that t can range from 0 to /2, we utilize the trigonometric identity [1 - sin2 t] = cos t, which equals (1 / 4) Circle area equals 0/2 a 2 cos2 t dt.
To linearize the integrand, use the trigonometric equation cos2 t = (cos 2t + 1) / 2;
(1 / 4) Circle's area is equal to 0/2 a (cos 2t + 1) / 2 dt.
the integral (1 / 4) be evaluated. Circle's area is equal to (1/2) a2 [(1/2) sin 2t + t]. 0π/2\s= (1/4) π a 2
The circle's entire area is calculated by multiplying by 4.
Area of a circle is equal to 4 * (1/4) a 2 a 2. additional references on integrals and calculus applications.
Area of circle = 4 * (1/4) π a 2 = π a 2 More references on integrals and their applications in calculus.
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Dion received a paycheck for $800.00 and he wants to invest it in a savings account. A savings account at bank A earns 8% interest compounded monthly and a savings account at bank B earns 9% simple interest. If Dion plans to deposit the $800.00 and leave it in the account for 2 years, at which bank would he earn more interest? A. bank B B. The interest earned cannot be calculated from the given information. C. bank A D. The interest earned at both banks will be the same.
Answer:
A. Bank B
Step-by-step explanation:
First the formulae necessary to calculate compound and simple interest
P = principal = amount deposited
r = interest rate as a decimal (i% interest => r = i/100)
t = number of years
n = number of times compounded
[tex]\text{Compound Interest }= P\left(1 + \dfrac{r}{n}\right)^{nt} - P[/tex]
In this case, we have P = 800
r = 8/100 = 0.08
n = 12 since the interest is compounded monthly
t = 2 years
So compound interest
[tex]CI = 800\left(1 + \dfrac{0.08}{12}\right)^{12 \times 2} - 800\\\\CI = 800(1.00667)^{24} - 800\\\\\\CI = 938.31 - 800\\\\CI = $138.31[/tex]
For Bank B, the interest is calculated at 9% annually and the interest is given by the formula
SI = P x r x t
SI = 800 x 0.09 x 2 (r = 9%/100 = 0.09)
SI = $144.00
So depositing in bank B is preferred
1/3 divided by 4/5 in the simplest form
Answer:
5/12
Step-by-step explanation:
answers are in the picture above
Doug dives from a platform that is 5 meters above water. dive takes 1.8 meters below the surface of the water. How far does 's dive take ?
Doug dives a total distance of 6.8 meters from the platform to the bottom of the sea.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have been given that a Doug dives from a platform that is 5 meters above the water.
His dive takes him 1.8 meters below the surface of the water.
To determine the total distance Doug dived, add the height of the platform above water and the distance he dived below water.
= (5 + 1.8) meters.
= 6.8 meters.
Thus, Doug dives a total distance of 6.8 meters from the platform to the bottom of the sea.
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A straight road makes an angle of 15 degrees with the horizontal. When the angle of elevation of the sun is 57 degrees, a vertical pole at the side of the road casts a shadow 75 feet long directly down the road, as shown in the figure. Approximate the length of the pole. Round to the nearest hundredth.
The length of the pole is 19.15 feet.
What is the angle of elevation?The angle of elevation is created by the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, the angle formed is an angle of elevation.
Given:
Angle made by straight road = 15°
Angle of elevation of the sun = 57°
Length of the shadow = 75 feet
∠ACB = 90° - 57° = 33°
∠CAB = 57° - 15° = 42°
Using Sine Law to find BC i.e.length of the pole.
[tex]\frac{BC}{sin A} = \frac{AB}{sin C}[/tex]
[tex]\frac{BC}{sin 42} = \frac{75}{sin 33}[/tex]
[tex]BC= \frac{75sin 42}{sin 33}[/tex]
BC ≅ 19.15 feet (to the nearest hundredth.)
Therefore, the approximate length of the pole is 19.15 feet.
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