The probability that the sum of the numbers rolled is even or greater than 7 can be found by determining the favorable outcomes and dividing them by the total possible outcomes.
Favorable outcomes:
Even sums: To get an even sum, one of the dice must be odd and the other even. There are 3 odd numbers (1, 3, 5) and 3 even numbers (2, 4, 6). So, there are 3 * 3 = 9 favorable outcomes for even sums.
Sums greater than 7: The combinations that yield sums greater than 7 are (2, 6), (3, 5), (4, 4), (4, 5), (5, 3), (5, 4), (5, 5), (6, 2), (6, 3), (6, 4), (6, 5), and (6, 6). There are 12 favorable outcomes for sums greater than 7.
Total possible outcomes:
Each dice has 6 possible outcomes, so the total number of possible outcomes is 6 * 6 = 36.
Therefore, the probability of rolling a sum that is even or greater than 7 is (9 + 12) / 36 = 21 / 36 = 7 / 12, which is the answer in simplest form.
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2.7 as a percentage for this problem
Answer:
270%
Step-by-step explanation:
Hey there!
Step by step explanation:
2.7 is break apart to 200% and 70%. In decimal form, the 7 is 70. 1.0 is also known as 100. This means that 200 would be 200% since 1.00 is equal to 100 and 100 is equal or known as 100%. Now we can add 200% and 70% which would be 270%.
This means that 2.7 in a percent form is 270%.
Hi pls help me on this!
What is TR(453) - TR(450)?
Answer:
1356
Step-by-step explanation:
453*454 divided by 2 then 450*451 divided by two then minus both
the two line segments below each have the same length l. if you were to calculate the integral the contour integer of the dot product of vector b with respect to vector s for each path, which one would yield b times l?
In response to the given question, we can state that To compute the function contour integral and establish the value of b times l for each path, the precise path of the line segments must be specified.
what is function?Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.
It is impossible to predict which path would provide a contour integral of b times l for the dot product of vector b with respect to vector s without knowing the precise trajectories of the line segments.
The contour integral of a vector field F's dot product with respect to a curve C is given by:
∫C F · ds
To compute the contour integral and establish the value of b times l for each path, the precise path of the line segments must be specified.
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I WILL GIVE THE REST OF MY POINTS (100 SOMETHING) TO THE PERSON WHO ANSWERS THIS RIGHT BY CREATING A NEW QUESTION AND ALSO WILL GIVE BRANLIEST
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play.
Each pair of wings is made with yard of fabric. The fabric costs $8 per yard.
You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
1. Use multiplication to write an expression for the amount of fabric needed to make 13 pairs of wings.
2. Multiply the amount of fabric by the price per yard to find an expression for the total cost.
3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with.
4. Simplify your expression to find the total cost. Show your work
Step-by-step explanation to answer:
So, the unit rate is $8 per yard of fabric now we need a expression which will be 13 times 8. 8 times 10 is 80 and 8 times 3 is 24. 80+24 is 104. We did associative, now we need communative. We will still get the answer to the question as we did with associative which will be 8 times 3 is 24 and 8 times 10 is 80. add that and we will get 104.
PLEASEEE HELPP SOMEONE WITH PART C ONLY WITH EXPLANATION THANK YOU!!!
Answer:
Step-by-step explanation:
given: 6 yds / sec
find the time to ride 12 miles, so how many yards is 12 miles?
12 miles * 1760 yards / 1 mile = 21120 yds
d =r*t d=distance , r= rate , t = time
we know the distance and the rate .. so we can find the time
d/r = t
21120/6 = t ( in seconds)
3520 = t sec.
3520 sec * 1 min / 60 seconds ( to convert to minutes )
3520/60=t ( in minutes)
58 & 2/3 minutes
need help ASAP midterm
- 40 points .
Answer:
how do you want me to help you with
Step-by-step explanation:
Owens birthday cake weights 6 T. (LOL). How many pounds does it weigh?
Answer:
12000 pounds is your answer
Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (3, 2, 0) and perpendicular to both i + j and j + k (x(t), y(t), z(t))= The symmetric equations are given by x + 3 = -(y + 2),z = 0. x - 3 = -(y - 2) = z. x-3 - y - 2 - -z. x + 3 = -(y + 2) = z. -(X - 3) = y - 2 = z.
1.The parametric equations of the line are:
x = 3 + ty = 2z = -t2. The symmetric equations of the line are:
x - 3 = x - 3y - 2 = 0z + x - 3 = 0x + y + 5 = 0z = 01.First, we need to find the direction vector of the line, which is perpendicular to both i + j and j + k. We can take their cross product:
(i + j) × (j + k) = i × j + i × k + j × j + j × k = -k + i
So the direction vector of the line is (-k + i), which is the same as (1, 0, -1).
Next, we need to find the parametric equations of the line. Let (x0, y0, z0) = (3, 2, 0) be a point on the line. Then the parametric equations are:
x(t) = x0 + at = 3 + t
y(t) = y0 + bt = 2 + 0t = 2
z(t) = z0 + ct = 0 - t = -t
where a, b, and c are the direction vector coefficients. So the parametric equations of the line are:
x = 3 + t
y = 2
z = -t
2. To find the symmetric equations, we can eliminate the parameter t. From the parametric equations, we have:
x - 3 = t
y - 2 = 0t = 0
z = -t
We can rearrange the first equation to get t = x - 3, and substitute into the third equation to get z = -(x - 3). Then we have:
x - 3 = x - 3
y - 2 = 0
z + x - 3 = 0
These are the symmetric equations of the line. Alternatively, we can eliminate t by setting x - 3 = -y - 2 and z = 0, which gives:
x + y + 5 = 0
z = 0
These are also symmetric equations of the line.
Expert-Verified Answer
5 people found it helpful
psm22415
The parametric form of the equation is;
The symmetric form of the equation is .
Given
The line through (3, 5, 0) and perpendicular to both i + j and j + k
The symmetric form of the equation of the line is given by;
Where the value of .
To find a, b, c by evaluating the product of ( i + j) and ( j + k ).
The value of a = 1, b = -1 and c = 1.
Substitute all the values in the equation.
Therefore,
The parametric form of the equation is;
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Which of the following statements is true about the Law of Large Numbers (LLN)?The LLN states that the empirical probability that is observed will simulate the theoretical probability that is expected for any finite number of trials, so a simulation or experiment need not have an excessive number of trials.The LLN states that if you simulate or conduct an experiment or simulation enough times the empirical probability observed will always match the theoretical probability that is expected.The LLN states that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability.***The LLN does not apply to probability theory.The LLN is almost always true, but there are special occasions, even when outcomes are random, when the LLN can be broken.
The LLN states that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability.
The Law of Large Numbers (LLN) is a statistical theorem which states that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability. This means that the empirical probability will approximate the theoretical probability as the number of trials increases. Therefore, the statement that is true about the LLN is that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability.
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¿Cuál es el volumen de un queso que tiene de base 700 cm2 y de altura 20 cm?
The volume of the cheese is 14,000 cubic centimeters (cm³).
We have,
The cheese is similar to a cylinder.
So,
To calculate the volume of cheese with a given base area and height, you can use the formula:
Volume = Base Area × Height
In this case,
The base area is given as 700 cm² and the height is 20 cm.
Let's substitute these values into the formula,
Volume
= 700 cm² × 20 cm
= 14,000 cm³
Therefore,
The volume of the cheese is 14,000 cubic centimeters (cm³).
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The complete question.
What is the volume of a cheese that has a base of 700 cm2 and a height of 20 cm?
Question 4: You are creating an obstacle for a community event. The area of the
rectangular space is represented by the expression 8x² - 12x. The width of the rectangular
space is represented by the expression 4x.
Part A: Write an expression to represent the length of
the rectangular space. (1 pts)
Show all work to find the length (3pts)
6.03 & 6.04
Answer: Length of Rectangular Space (1 pt)
Part B: Prove your answer from Part A is correct by
multiplying the length and width of the rectangle. Show
all work (4 pts)
Answer (1 pt) Write the expression in standard form:
The expression to represent the length of the rectangular space is 2x - 3.
What connection exists between a rectangular space's area, length, and width?The product of the length and breadth makes up the area of a rectangular space. Area is defined mathematically as Length x Width. So, using the equation Length = Area / Width, we can determine the length of a rectangular space if we know its area and breadth. Instead, using the formula Width = Area / Length, we may determine the width of a rectangular region if we know its area and length.
Given that the width of the rectangle is 4x.
The Area of the rectangle is given as:
A = lw
Substituting the values we have:
8x² - 12x = 4x (Length)
l = 2x - 3
Hence, the expression to represent the length of the rectangular space is 2x - 3.
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how many ways can 4 letters from papaya be arranged
Answer:
There would be 2 ways I would think because you can spell it with the same letters if that makes sense
identify the type of conic section whose equation is given. x2 − 2x 2 y 2 − 28y 97 = 0
From the standard form of the equation, we see that the given equation corresponds to a hyperbola with a vertical axis.
The given equation is x² − 2x²y² − 28y + 97 = 0. The terms x² and y² are multiplied by each other, making it a conic section, more precisely a hyperbola with a vertical axis.
To identify the type of conic section whose equation is given, we need to convert the equation into standard form, that is, the form of the equation in which the unknowns x and y appear separately, and the coefficients have a specific value.
We can begin by grouping the terms in the equation as follows:
x² − 2x²y² − 28y + 97 = 0(x² − 2x²y²) − 28y + 97 = 0
Factor out x² from the first two terms:x²(1 − 2y²) − 28y + 97 = 0
We now complete the square on the y-term as shown below:x²(1 − 2y²) − 28y + 97 = 0x²(1 − 2y²) − 28(y − 49/2) + 47/2 = 0
The standard form of the equation for a hyperbola with a vertical axis is given as, [(y-k)²/a²] - [(x-h)²/b²] = 1
where (h,k) is the center of the hyperbola, a is the distance from the center to each vertex along the axis of the hyperbola, and b is the distance from the center to each vertex along the transverse axis.
Therefore, from the standard form of the equation, we see that the given equation corresponds to a hyperbola with a vertical axis.
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I NEED HELP PLEASE
A researcher studies the rate of progress of a chemical reaction. The researcher fixes the temperature and pressure, varies the amount of catalyst used over a range of quantities, and observes the resulting reaction rate in each case.
Which statement BEST describes why the investigation is an experimental study?
There is more than one independent variable to study.
The researcher manipulates at least one independent variable.
It is possible to get data with a range of values of an independent variable.
There is a cause-effect relation between the independent and dependent variables.
Answer:
I think the answer is The researcher manipulates at least one independent variable. Hope this helps.
Step-by-step explanation:
The BEST statement describes is that "The researcher manipulates at least one independent variable."
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
The variables who take their values based on some other variables' values are called dependent variables.
Given that researcher studies the rate of progress of a chemical reaction.
The researcher fixes the temperature and pressure, varies the amount of catalyst used over a range of quantities, since we know that If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
Therefore, the BEST statement describes why the investigation is an experimental study;
"The researcher manipulates at least one independent variable."
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which of the following terms are like terms?
a⁵b³; -3a³b³; 5a²b⁴; -3a⁷b³; a²b³; -3a²b⁴
The polynomials 5a²b⁴ and -3a²b⁴ are like terms with the same exponents.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Polynomial is an expression that involves the operations of addition, subtraction, multiplication of variables. Two polynomials are like terms if their exponents are the same.
Hence:
The polynomials 5a²b⁴ and -3a²b⁴ are like terms with the same exponents.
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Solve the inequality for x and identify the graph of its solution.
4|x + 3| < 8
Choose the answer that gives both the correct solution and the correct graph.
A.
Solution: x < 1 or x > 5; graph:
B.
Solution: x < –5 or x > –1; graph:
C.
Solution: x > –5 and x < –1; graph:
D.
Solution: x > –5 and x < –1; graph:
Answer:
D
Step-by-step explanation:
^^^
A submarine is at the depth of -300 meters. It is rising 50 meters every hour. What is the depth of the submarine after 4 hours?
Simplify: -24 - 6
Plz help
Answer:
-30
Step-by-step explanation:
Answer:
-30
Step-by-step explanation:
-24-6
++=+
so
24+6
-30
sign always add of bigger value
Find the distance (-4,6) and (3,-7)
Answer:
Distance ≈ 14.8
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, 6) and (x₂, y₂ ) = (3, - 7)
Hope this helps!!!!
Select the correct answer.
What is the factored form of this expression?
X + 9x + 16
OA. The expression cannot be factored.
OB. (x+3)2
O c. (x-4)(x + 4)
OD. (x+4)2
HELP PLZZ
Answer:
The expression cannot be factored
Step-by-step explanation:
got it correct
need help with multiple questions (and if you can, show your work, thanks):
1: Measure 8 tbsp. chocolate sauce and add 2 1/2 cups of milk.
2: Start with 1 3/4 cups of milk and add 2 1/2 tbsp. chocolate sauce.
3: Add 3 1/3 tbsp. chocolate sauce to 1 1/4 cups milk.
4: For every 1 cup of milk add 2 1/2 tbsp. of chocolate sauce.
5: Stir 1 tbsp. chocolate sauce into 2/3 cup milk.
With this query, no effort is necessary. measure the tbsp. of all items.
Is milk consumption healthy?A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.
1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.
No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.
2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.
No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.
No work is required for this question. It is a simple instruction to add \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.
4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.
5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.
No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.
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Math SAT scores (Math) and Verbal SAT scores (Verbal) have a roughly linear relationship. Suppose that linear regression analysis yields the regression equation (predicted MATH) = 210 + 0.67*(Verbal) If Camilla scores 100 points more on her Verbal SAT than her friend. How many points higher does the model predict Camilla's Math SAT score to be than her friend's?
According to the given regression equation, if Camilla scores 100 points higher on her Verbal SAT than her friend, the model predicts that Camilla's Math SAT score will be approximately 67 points higher than her friend's.
The regression equation states that the predicted Math SAT score (predicted MATH) can be calculated using the equation: predicted MATH = 210 + 0.67×(Verbal).
Let's denote Camilla's Verbal SAT score as V c and her friend's Verbal SAT score as V f. According to the question, Camilla scores 100 points higher on her Verbal SAT than her friend, so we can express this as V c = V f + 100.
To find the difference in their predicted Math SAT scores, we need to calculate predicted MATH c (Camilla's predicted Math SAT score) and predicted MATH f (her friend's predicted Math SAT score) using the regression equation.
For Camilla, substituting V c into the regression equation:
predicted MATH c = 210 + 0.67×(V c)
= 210 + 0.67×(V f + 100)
For her friend, substituting V f into the regression equation:
predicted MATH f = 210 + 0.67×(V f)
To find the difference in their predicted Math SAT scores, we subtract the friend's predicted score from Camilla's predicted score:
predicted MATH c - predicted MATH f = (210 + 0.67×(V f + 100)) - (210 + 0.67*(V f))
= 210 + 0.67Vf + 67 - 210 - 0.67Vf
= 67
Therefore, the model predicts that Camilla's Math SAT score will be approximately 67 points higher than her friend's.
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For which of the following situations is a simple linear regression model appropriate? Multiple choice question. The explanatory variable x is influenced by one response variable. The response variable y is influenced by two or more explanatory variables. The response variable y is influenced by one explanatory variable. The explanatory variable x is influenced by two or more response variables.
A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.
A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).
It is suitable when we want to understand how changes in the explanatory variable affect the response variable.
In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.
This means that the relationship between y and x can be adequately described by a straight line.
The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.
If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.
Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.
Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.
Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.
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what is the half-life of a radioactive substance that decays at a continuous rate of 11% per minute? (round to one decimal places.)
5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).
Define the half-life of a radioactive substance?A radioactive sample's half-life is the amount of time it takes for half of its atomic nuclei to spontaneously transform into another nuclear species and emit particles and energy.When we use the formula A = A0(1 - r)t,
where A is the quantity of a substance we have at any given moment (t), A₀ is the quantity we have at the beginning (at t = 0), and r is the rate of decay, we may state the following:(1/2)A₀ = A₀(1 - 0.11)t
[Divide both sides by A₀ results in:
1/2 = (0.87)t
Using the log of both sides;:
log(1/2) = log(0.87)t
Using a logarithm property, we can bring the "t" to the front, giving us:
log(1/2) = t.log(0.89)
[Dividing both sides with log(0.89) gets us:
t = log(1/2)/log(0.89)
Using calculator for soling the values.
t = 5.94 seconds
Thus, 5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).
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Using all or some of the digits 2, 3, 4 and 5, edward writes numbers greater than 500 without repeating digits. for example, he might write 543
The total numbers he would have is 30.
How many numbers will he have?The following numbers can be formed using the given numbers that are greater than 500:
523, 532, 542, 543, 524, 534, 2345, 2435, 2354, 2453, 2543, 2534, 3245, 3254, 3425, 3452, 3542, 3524, 4235, 4253, 4325, 4352, 4523, 4532, 5234, 5243, 5432, 5423, 5342 and 5324.
Here is the complete question:
Using all or some of the digits 2,3,4,5 write numbers greater than 500 without repeating digits how many numbers will i have
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Answer:30
Step-by-step explanation:
how to be good at math???
Step-by-step explanation:
Do more and more practice daily
what is the value of h?
Answer:
5
Step-by-step explanation:
Question 7 < > Consider the function f(x) = x²e37. = f(2) has two inflection points at x = C and x = D with C
The function f(x) = x²e³⁷ does not have any inflection points, and the statement given in the question is incorrect.
The question asks us to consider the function f(x) = x²e³⁷, and specifically the values of x where f(x) has inflection points. It tells us that f(2) has two such points, at x = C and x = D, with C < D. We need to identify the values of C and D.
To find the inflection points of f(x), we need to look for places where the concavity of the function changes. This happens when the second derivative of the function changes sign. So we need to compute the second derivative of f(x) and solve for the values of x where it equals zero.
First, we compute the first and second derivatives of f(x):
f(x) = x²e³⁷
f'(x) = 2xe³⁷
f''(x) = 2e³⁷
We can see that the second derivative is a constant, and it is always positive. Therefore, f(x) is a convex function for all values of x.
This means that there are no inflection points in the graph of f(x). Therefore, the statement that f(2) has two inflection points at x = C and x = D with C < D is incorrect. It is not possible to find values of C and D that satisfy this condition.
In conclusion, the function f(x) = x²e³⁷ does not have any inflection points, and the statement given in the question is incorrect.
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Kendie's family usually pays $36 for admission to the planetarium. On Sundays visitors receive a discount of 1/6 off the total admission price.
How much would Kendie's family pay to visit the planetarium on Sunday?
fraction diagram needed.
As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.
what is unitary method ?In mathematics, the linear approach is a way when resolving issues with direct or negative proportion. It entails figuring out the value of one unit of a quantity and utilising that value to figure out the value of any given quantity divided by that number of units. For instance, using the unitary technique, if we know that 5 oranges cost $10, we may calculate the price of 10 apples by first dividing $5 by 5 to get $2 per apple, multiplying $two by 10 to get $20 for 10 apples, and then using the result to get the price of 5 apples. In industries where proportional correlations are regularly found, like banking, business, and science, the unitary technique is frequently employed.
given
On Sunday, Kendie's family would shell out 1/6 less than the standard admission price, or 5/6 of the standard admission price.
As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.
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What is the volume of a hemisphere with a radius of 29 m, rounded to the nearest tenth of a cubic meter?
Answer:
19.4 cubic meter
Step-by-step explanation
Round your answer to the nearest tenth of a cubic centimeter.