Answers
Answer:
12.86 cm³ of water is saved
Step-by-step explanation:
✔️Since width of new ice ball must be the same as the length of original cube, therefore, diameter of the ice ball = 3 cm
Radius of ice ball = ½(3) = 1.5 cm
Volume of the new sphere ice ball = ⁴/3πr³
Substitute
Volume of new sphere ice ball = ⁴/3 × π × 1.5³ = 14.14 cm³
✔️To find out how much water would be saved using the new sphere ice ball, let's find the volume of the cube then find the difference of both.
Volume of original ice cube with length 3 cm:
Volume of cube = s³
s = 3 cm
Volume of cube = 3³ = 27 cm³
Volume of water saved = 27 cm³ - 14.14 cm³
= 12.86 cm³
Related Questions
evaluate the expression when m=8 and n = 37
Answers
Answer:
31Step-by-step explanation:
\(\sf 37-\cfrac{48}{8}\)
Divide numbers ( 48/8 = 6)
\(\sf 37-6\)Subtract numbers:-
\(\sf 31\)31 is your answer!
___________________
Hope this helps!
Have a great day!
What is the perimeter of a triangle with vertices (-1, 2). (-1, -1), and (3, -1)?
Answers
Answer:
perimeter = 12
Step-by-step explanation:
In a right-angled triangle, a² + b² = c²
where c is the hypotenuse, and a and b are opposite and adjacent, either way.
have a look at attached documents for answer and explanation
What is an expression for "c plus 2."
Answers
packaging idaho produce company ships potatoes to its distributors in bags whose weights are normally distributed witb. nean weight of 50 pounds and a standard deviation of .5 pounds. if a bag of potatoes is selected at random from a shipment, what is the probability that it weighs more than 51 pounds
Answers
The probability that it weighs more than 51 pounds exactly 53 pounds.
Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.
We need to find the probability that it weighs more than 51 pounds,
P(X = 53) = 0
z = (51 - 50) / 0.5 = 2.00
P(X > 51) = P(z > 2.00) = 0.0228
z1 = (49 - 50) / 0.5 = -2.00
z2 = (51 - 50) / 0.5 = 2.00
P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544
Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.
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answer this to get 50
Answers
The domain of the function {(4, 19), (-2, 77), (0, 10), (1 / 2, 9 / 5), (1, 10), (-3, 0), (100, 100) } is 4, -2, 0, 1 / 2, 1, -3, and 100 and the range is 19, 77, 10, 9/ 5, 10, 0, and 100.
How to find the domain and range of a function?A function relates an input to an output. A function relates each element of a set with exactly one element of another set.
The domain of a function is the set of all possible inputs for the function. The domain is the independent variable of a function. The domain is the x values.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range are the y values
Therefore,
{(4, 19), (-2, 77), (0, 10), (1 / 2, 9 / 5), (1, 10), (-3, 0), (100, 100) }
Hence,
domain = {4, -2, 0, 1 / 2, 1, -3, 100}
range = {19, 77, 10, 9/ 5, 10, 0, 100}
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what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald’s, at least 40 can taste the difference between the two oils? (2.5 pts.)
Answers
Complete Question
In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its French fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that only 3 out of 100 people can detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40 can taste the difference between the two oils? (2.5 pts.)
Answer:
The probability is \(P(\^ p \ge 0.04 ) = 0.03216\)
Step-by-step explanation:
From the question we are told that
The population proportion is \(p = \frac{3}{100} = 0.03\)
The sample size is n = 1000
Generally the mean of this sampling distribution is \(\mu_{x} = 0.03\)
Generally the standard deviation of this sapling distribution is mathematically evaluated as
\(\sigma = \sqrt{\frac{p (1 - p)}{n} }\)
=> \(\sigma = \sqrt{\frac{0.03 (1 - 0.03)}{1000} }\)
=> \(\sigma = 0.0054\)
Generally the sample proportion when the number of those that can taste the difference is 40 is mathematically represented as
\(\^ p = \frac{40}{1000} = 0.04\)
Generally the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40( \(\^ p = 0.04\)) can taste the difference between the two oils is mathematically represented as
\(P(\^ p \ge 0.04 ) = 1 - P(\^ p < 0.04 )\)
Here
\(P(\^ p < 0.04 ) = P(\frac{ \^ p - \mu_{x}}{\sigma } < \frac{0.04 - 0.03}{0.0054} )\)
\(\frac{\^ p -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )\)
=> \(P(\^ p < 0.04 ) = P(Z < 1.85 )\)
From the z table the probability of (Z < 1.85 ) is
\(P(Z < 1.85 ) = 0.96784\)
So
\(P(\^ p < 0.04 ) = 0.96784\)
So
\(P(\^ p \ge 0.04 ) = 1 - 0.96784\)
=> \(P(\^ p \ge 0.04 ) = 0.03216\)
How do you find the holomorphic function?
when thought of as a function from b to r2 , is j(0, 0)
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Context, it is not clear what is meant by "j(0,0)" or what the function's codomain being \(R^2\) signifies.
It is not clear what you mean by "b" and "j". However, I can provide a general answer on how to find a holomorphic function.
A holomorphic function is a complex-valued function that is complex differentiable in a neighborhood of each point in its domain. This means that the function must satisfy the Cauchy-Riemann equations, which relate the partial derivatives of the function with respect to the real and imaginary parts of its input.
To find a holomorphic function, one approach is to use the power series representation of complex analytic functions. If a function f(z) is analytic at a point z0, then it has a power series expansion of the form:
f(z) = ∑n=0∞ \(c_n (z - z0)^n\)
where \(c_n\) are complex coefficients that depend on the function and z0. This power series converges in a neighborhood of z0, and the coefficients can be calculated using complex integration techniques.
Another approach is to use the Cauchy integral formula, which expresses the value of a holomorphic function at a point in terms of an integral over a closed curve that encloses the point. This formula allows one to compute the function at any point in its domain using complex integration techniques.
Without more information about "b" and "j", it is not possible to determine if a holomorphic function exists or what its properties might be. Similarly, without more context, it is not clear what is meant by "j(0,0)" or what the function's codomain being \(R^2\) signifies.
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Im need help on this question
Answers
i need help 5/9 = /45 fractions
Answers
Answer:
5/9 = 25/45
Step-by-step explanation
multiply 5/9 by 5/5 this will turn it into 25/45
5x5=25
5x9=45
Kal needed to cut 25 inches from a long board. He
accidently cut 24 inches from the board. What is his
percent error? Explain.
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Answer:
4%
Step-by-step explanation:
His percent error is one inch on 25 inches, that is: 1/25 = 0.04 = 4%
1/2 ÷1/5
create a story problem
Answers
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
5 /2
Decimal Form:
2.5
Mixed Number Form:
2 1/ 2
Answer:
There is half of a pie left. Bob need to share it with four friends how big are the pieces compared to the pie.
ANSWER:
1
__
10
Step-by-step explanation:
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
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Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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Find the area 7cm 12cm 9cm
Answers
Answer:
139.5 cm²
Step-by-step explanation:
12 · 9
108 cm²
7 · 9
63
63 ÷ 2
31.5 cm²
108 cm² + 31.5 cm²
139.5 cm²
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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2. What is the 7th term of an A.P: 50+45+40? a. 40, b. 20, c. 15, d. 22
Answers
The 7th term of an Arithmetic Progression 50+45+40 is 20
How to determine the 7th term of an Arithmetic Progression 50+45+40?The Arithmetic Progression is given as:
50+45+40
In the above Arithmetic Progression, we have
First term, a= 50
Common difference, d = 45 - 50 = -5
The nth term of the Arithmetic Progression is calculated as:
Tn = a + (n - 1)d
Substitute the known values in the above equation
Tn = 50 + (n - 1) * -5
Substitute 7 for n in the above equation
Tn = 50 + (7 - 1) * -5
Evaluate the product
Tn = 50 - 30
Evaluate the difference
T7 = 20
Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20
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pa^2 + qb^2 + pb^2 + qa^2
Answers
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The student council is planning the school carnival. Each ticket costs $2.50. Explain how to write an equation that represents this scenario. Let X represent the number of tickets sold, and Y represents the total amount of money raised.
Answers
Answer:
the answer is c.
Answer:
Let x represent the variety of tickets sold, and y represent the total amount of cash raised. Since each price tag is $2.50, the total amount of money raised is identical to $2.50 instances the wide variety of tickets. The equation would be y = 2.50x.
Step-by-step explanation:
The x variable represents the number of tickets sold.
The y variable represents the total amount of money raised from ticket sales.
The equation for the scenario is y = 2.50x.
Helpp im being timedd
Answers
He buys atoy car for 150 the sells it for $120find his percentage loss
Answers
Answer: 80%
Step-by-step explanation:
divide 120 by 150 and you get .8 then you move the decimal over 2
cc\(\frac{p-8}{p^2-12p+32} ÷\frac{1}{10}\)
Answers
Using Factorization, The solution of the algebraic fraction is \(\frac{10}{p-4}\).
An algebraic equation is what?Due to the fact that they have polynomials on both sides of the equality sign, algebraic equations are also known as polynomials. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of algebraic equations.
Factorization: what is it?Numbers are factored using formulas for factorization. Decomposing an entity into the result of another entity or factors that, when multiplied together, produce the original number is known as factorization. Simple factorization formulas are used in factorization procedures to simplify algebraic or quadratic equations. Instead of expanding parentheses, expressions are expressed as the sum of their constituent parts. Each equation may have factors that are algebraic expressions, variables, or .
\(\frac{p - 8}{8 p²-12p+32} \div \frac{1}{10}\)
first we factorize the denominator and using invert Endo to the other fraction.
\(\frac{p - 8}{8 p²-12p+32} \times \frac{10}{1}\\\frac{p - 8}{(p - 8)(p - 4)} \times 10\)
= \(\frac{10}{p-4}\)
Hence the simplified fraction is \(\frac{10}{p-4}\)
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If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a spade, the second card will be a red card, and the third card will be a queen? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
The probability the first card is a spade, the second card is a red card and the third card is a queen is 0.009.
How to calculate the probability in this case?The probability is determined by the proportion of the desired outcome vs the proportion of total possible outcomes. Moreover, in this case, the probability depends on the individual probabilities of each event.
Then the total card is 52.
Number of spade cards = 13 = 13/52 = 0.25
Number of queen cards = 4 = 4/52 = 0.07
Number of red cards = 26 = 26/52 = 0.5
Now, let's multiply the probabilities:
0.25 x 0.07 x 0.5 =0.0087 which can be rounded as 0.009
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Derrick and Janis are planting
150 strawberry plants.
The first day, Derrick plants 20% of
the strawberry plants. Janis plants
60% of the strawberry plants.
Eliezer
How many strawberry plants do Derrick and Janis plant on the first day?
Choose one option from each drop-down menu to answer the question.
On the first day, Derrick plants Choose... strawberry plants.
Janis plants Choose... strawberry plants.
Together, they plant a total of Choose... strawberry plants.
X
Answers
Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.
To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.
Derrick planted 20% of the 150 strawberry plants:
20% of 150 = (20/100) * 150 = 30 strawberry plants.
Janis planted 60% of the 150 strawberry plants:
60% of 150 = (60/100) * 150 = 90 strawberry plants.
Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.
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To determine the organic material in a dried lake bed, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different.To determine the organic material in a dried lake ted, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different. Location1(%C) Location2(%C)1 10.40 10.102 10.20 10.903 10.30 10.204 10.40 10.705 10.20 10.40a-1. Far each location, calculate the standard deviation and report it.- location 1: _____- location 2: _____a-2. What is the calculated F value for comparing the standard deviation?b. Are the two standard deviations for the locations significantly different at the 95% confidence level?A. yes.B. No.c. What is the calculated t value used to compare the means of these two locations?d. Are the means for the two different locations significantly different at the 95% confidence level?A. yes.B. No.
Answers
Answer:
F statistic = 11.3 ;
-1.02
Step-by-step explanation:
____Location1(%C) ____ Location2(%C)
1 ______ 10.40 _________ 10.10
2 _____ 10.20 _________ 10.90
3 ______10.30 _________ 10.20
4 ______10.40 _________ 10.70
5 ______10.20 _________ 10.40
F = larger sample variance / smaller sample variance
Using calculator :
Sample standard deviation (s)
s1² = 0.01
s2² = 0.113
F = s2² / s1²
F = 0.113 / 0.01
F = 11.3
Yes, the two standard deviations for the locations are significantly different at the 95% confidence level.
B.)
Tvalue
x1 = 10.3 ; x2 = 10.46
μ1 = 10.30 ; μ2 = 10.46
(10.30 - 10.46) / sqrt[(0.01/5) + (0.113/5)]
-0.16 / 0.1568438
-1.02
The developers of a web site are tracking its number of adult users and teenage users. They found that the equation
56x + y = 737
models the number of teenage users over time, and the equation
121x − 2y = −238
models the number of adult users over time. In both equations, x is the number of years since 2000, and y is the number of users in thousands. During what year was the number of teenage users and adult users the same?
Answers
Answer:
x = 5.7 years after 2000
Step-by-step explanation:
So the year when both the amount of users were the same can be found by using the both equations to solve for x (since y is the same)
48x + y = 729
we will take the value of y from this equation and use it in the other equation
y = 729 - 48x
135x - 2y = -140
135x - 2(729 - 48x) = -140
135x -1458 + 98x = -140
231x = 1318
x = 1318/231
x = 5.7 years after 2000
Is (49,13),(61,36),(10,27),(76,52),(23,52) a function
Answers
Answer:
No
Step-by-step explanation:
To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.
Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values. Still need to check if each x-value has a unique corresponding y-value.
Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).
Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.
a number is tripled and then increased by four. the result is seventy-nine. what is the original number?
Answers
Answer:
3x+4=79
Step-by-step explanation:
3x+4=79
3x=79-4
3x=75
Divide both sides by three
3x/3 = 75/3
x=25
Therefore the original number is 25.
Hope it helps.✨✨
HELP THIS IS TIMED I WILL GIVE REWARD IF CORRECT
Answers
We have the following information:
1. x is the garden's original length.
2. The area of the garden is the expression 9 * (x + 2) (the length is extended 2 feet).
3. 9 is the width of the garden.
When we expand the expression, we have that:
9 * (x + 2) = 9x + 9*2 = 9x ft^2 + 18 ft^2.
Then, we have that the area of the extension is 18 square feet (we multiply the width by the extension, 2 feet).
Therefore, the correct option is C (9x + 18); 18 square feet.
The diameter of cork of a Champagne bottle is supposed to be 1.5 cm. If the cork is either too large or too small, it will not fit in the bottle. The manufacturer measures the diameter in a random sample of 36 bottles and finds their mean diameter to be 1.4 cm with standard deviation of 0.5 cm. Is there evidence at 1% level that the true mean diameter has moved away from the target?
Answers
Answer:
\(t_{n-1,\alpha/2}=3.59114678\)
Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target
Step-by-step explanation:
From the question we are told that:
Sample size \(n=36\)
Mean diameter \(\=x=1.4\)
Standard deviation \(\sigma=0.5cm\)
Null hypothesis \(H_0 \mu=1.5\)
Alternative hypothesis \(\mu \neq 1.5\)
Significance level \(1\%=0.001\)
Generally the equation for test statistics is mathematically given by
\(t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }\)
\(t=\frac{1.4-1.5}{\frac{0.5}{\sqrt{36} } }\)
\(t=-1.2\)
Therefore since this is a two tailed test
\(t_{n-1,\alpha/2}\)
Where
\(n-1=36-1=>35\)
\(\alpha=/2=0.001/2=>0.0005\)
From table
\(t_{n-1,\alpha/2}=3.59114678\)
Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target
In the line plot, how many more students live 2 miles from school than students that live 1 mile from school?
Answers
Answer:
3 more students
Step-by-step explanation:
6-3=3
How did you get that?
6 students live 2 miles away, while only 3 students live 3 miles away. To find the difference, subtract the two numbers.