Answer:
C. Divide each side by -2/3
Step-by-step explanation:
-2/3 is being multiplied by c. So we have to do the inverse of multiplication which is division.
Solve for x sim b (10, 0.75) for x = 5
The value of \(x \sim B (10, 0.75)\) for x = 5 is 0.06
How to solve the probability?The expression is given as:
\(x \sim B (10, 0.75)\)
This means that:
n = 10
p = 0.75
The probability is then calculated as
\(P(x)= ^nC_x * p^x *(1 - p)^{n-x\)
This gives
\(P(5)= ^{10}C_5 * 0.75^5 *(1 - 0.75)^5\)
Evaluate the combination expression
\(P(5)= 252 * 0.75^5 *0.25^5\)
Evaluate
P(5)= 0.06
Hence, the value of \(x \sim B (10, 0.75)\) for x = 5 is 0.06
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A farmer uses 920 grams of grain to feed his 8 chickens. At this rate how many grams of grains does he use to feed 100 chickens
Answer: 11,500 grams
Step-by-step explanation: 920/8=115 115*100= 11,500
Solve for x.
2x - 9 = 6 + 3x
x = [?]
Hello !
Answer:
\(\boxed{\sf x=-15}\)
Step-by-step explanation:
We are looking for the value of x that verifies the following equation :
\(\sf 2x-9=6+3x\)
To do this, we will have to isolate x.
Let's start by substracting 3x from both sides of the equality.
\(\sf 2x-9-3x=6+3x-3x\)
Then combine like terms :
\(\sf -x-9=6\)
Now let's add 9 to both sides :
\(\sf -x-9+9=6+9\\-x=15\)
Finally, let's multiply both sides by -1 :
\(\sf-1\times(-x)=-1\times 15\\\boxed{\sf x=-15}\)
Have a nice day ;)
gabriella went skiing. she paid $35 to rent skis and $15 an hour to ski. if she paid a total of $95, how many hours did she ski?
Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,
for a total of $95. We can set up the following equation to represent this information:
35 + 15x = 95
Solving for x, we get:
15x = 60
x = 4
Therefore, Gabriella skied for 6 hours.
Here is a more detailed explanation of how to solve the equation:
Subtract $35 from both sides of the equation.
15x = 60
15x - 35 = 60 - 35
15x = 25
Divide both sides of the equation by 15.
15x = 25
x = 25 / 15
x = 4
Therefore, x is equal to 4, which is the number of hours that Gabriella skied.
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Suppose 75% of smartphones sold at a retail outlet are purchased with warranty. A random sample of 25 smartphones is selected. Assuming independence, use the binomial formula or software (recommended) to answer the following questions. 1. What is the probability that, of the 25 smartphones selected: (Report probabilities accurate to at least 4 decimal places.) a) exactly 18 are purchased with warranty? b) exactly 8 are not purchased with warranty? c) all of them are purchased with warranty? d) at most 15 are purchased with warranty? e) at least 14 are purchased with warranty? f) more than half are purchased with warranty? 9) at least 14 but no more than 23 are purchased with warranty? h) less than 12 or more than 19 are purchased with warranty? 2. Calculate the mean and standard deviation of smartphones that are purchased with warranty. Round to 2 decimal places. Mean = Standard Deviation = 3. If you expect to find exactly 72 smartphones that are purchased with warranty, how large a sample should you select? Report the minimum sample size required as an integer.
The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is: The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:
The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:
h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation = Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N
= 337.11
Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.
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in an analysis testing differences between an experimental and a control group on the dependent variable, a p-value of 0.07 means there is a
A control group on the dependent variable, P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.
In an analysis testing difference between an experimental and a control group on the dependent variable, a p-value of 0.07 means that there is a 7% chance of obtaining a difference as large or larger than the observed difference between the two groups, assuming that there is no true difference between the groups in the population.
Interpreted as evidence that the difference between the groups is not statistically significant, since the p-value is greater than the conventional threshold of 0.05 for rejecting the null hypothesis of no difference between the groups.
Statistical significance does not necessarily imply practical significance, and there may still be a meaningful difference between the groups that is not detected by the statistical test.
Additionally, the interpretation of a p-value depends on the study design, sample size, and other factors, and should be considered in conjunction with other information about the study.
True difference between the groups in the population, a p-value of 0.07 indicates that there is a 7% chance of finding a difference as large or larger than the observed difference between the two groups in an analysis testing the difference between an experimental and a control group on the dependent variable.
P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.
It's crucial to remember that statistical significance does not always imply practical relevance.
There could still be a significant difference between the groups that is not shown by statistical analysis.
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In ΔLMN, the measure of ∠N=90°, the measure of ∠M=7°, and NL = 4.4 feet. Find the length of MN to the nearest tenth of a foot.
Answer:
35.8351≈35.8 feet
Step-by-step explanation:
Answer:
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Step-by-step explanation:asgaerdgfvbdzfvzdx aw efaeszdgds
Name and describe two theorems that you can use to prove two triangles are congruent?
Answer:
The Angle-Side-Angle Theorem (ASA) states that if two angles and their included side are congruent to two angles and their included side to another triangle, then these two triangles are congruent.
Step-by-step explanation:
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a circle with diameter $2$ is translated $5$ units. what is the perimeter of the region swept out by the circle?
The perimeter of the region swept out by the circle during translation is 2π units.
When a circle is translated, its shape remains the same, but its position in space changes. The perimeter of the region swept out by the circle during translation will be the same as the perimeter of the circle itself.
Given:
Diameter of the circle = 2 units
Translation distance = 5 units
Calculate the radius of the circle.
Radius (r) = Diameter / 2
r = 2 / 2
r = 1 unit
Calculate the perimeter of the circle.
Perimeter of a circle (P) = 2 x π x r
P = 2 x π x 1
P = 2π units
Therefore, the perimeter of the region swept out by the circle during translation is 2π units.
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When Lavaughn moved into a new house, he planted two trees in his backyard. At the
time of planting, Tree A was 30 inches tall and Tree B was 15 inches tall. Each year
thereafter, Tree A grew by 2 inches per year and Tree B grew by 5 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree B t years after being planted. Write an equation for each situation, in
terms of t, and determine which tree is taller after 6 years.
PLSSS HELPPPP
The height of Tree A t years after being planted can be represented by the equation:
A = 30 + 2t
This equation states that the initial height of the tree (30 inches) plus the annual growth of the tree (2 inches per year) multiplied by the number of years that have passed (t) will give the current height of the tree.
The height of Tree B t years after being planted can be represented by the equation:
B = 15 + 5t
This equation states that the initial height of the tree (15 inches) plus the annual growth of the tree (5 inches per year) multiplied by the number of years that have passed (t) will give the current height of the tree.
To determine which tree is taller after 6 years, we can substitute t = 6 into each equation and compare the results:
A = 30 + 2(6) = 30 + 12 = 42 inches
B = 15 + 5(6) = 15 + 30 = 45 inches
Tree B is taller than Tree A after 6 years because 45 inches is greater than 42 inches.
Why it is a good idea to create an instance of your relational schema with sample data?
Creating an instance of your relational schema with sample data provides a practical way to validate, optimize, and enhance your schema design. It assists in ensuring data integrity, improving performance, facilitating application development, and supporting training and documentation efforts.
Creating an instance of a relational schema with sample data is a good idea for several reasons:
Testing and Validation: Creating a sample instance allows you to test and validate the structure and functionality of your relational schema. It helps ensure that the schema design accurately represents the real-world entities, relationships, and constraints. By populating the schema with sample data, you can verify that the schema can handle the expected data types, constraints, and operations.
Data Integrity and Consistency: Sample data helps you identify and address any potential data integrity issues or inconsistencies in your schema. By inserting representative data into the tables, you can check if the defined constraints, such as primary key and foreign key relationships, are working correctly. This helps maintain the integrity and accuracy of the data stored in your schema.
Performance Optimization: Testing your schema with sample data allows you to analyze and optimize the performance of your database queries and operations. By evaluating the response times and execution plans for different queries, you can identify any bottlenecks, indexing issues, or inefficient query designs. This knowledge can guide you in making improvements to optimize the performance of your database system.
Application Development and Debugging: Creating an instance with sample data provides a realistic environment for application development and debugging. It allows developers to interact with the data, test various functionalities, and identify and fix any issues early on. This iterative process helps ensure that the application is working as intended and aligns with the requirements specified by the schema.
Training and Documentation: Having a sample instance with data can serve as a valuable resource for training purposes and documentation. It allows users, administrators, or other stakeholders to familiarize themselves with the schema structure, understand the relationships between tables, and learn how to interact with the data effectively. It also helps in creating comprehensive documentation that includes examples and illustrations based on real-world scenarios.
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select the expression that is equivalent to 7^3/8
5 square root 7
8 square root 7^3
square root 7^5
3 square root 7^8
The equivalent expression to 7^3/85 square root 78 square root 7^3 square root 7^53 square root 7^8 can be simplified by combining the terms with the same base.
First, we can simplify the square roots by multiplying them together.
√78 = √(2 x 3^2 x 13) = 3√(2 x 13)
√(7^3) = 7^(3/2)
√(7^5) = 7^(5/2)
√(7^8) = 7^(4)
Then, we can combine the exponents of 7.
7^3/85 x 3√(2 x 13) x 7^(3/2) x 7^(5/2) x 7^4
= (7^(3+5+8))/(85 x 3√(2 x 13))
= (7^16)/(255√(2 x 13))
Therefore, the expression equivalent to 7^3/85 square root 78 square root 7^3 square root 7^53 square root 7^8 is (7^16)/(255√(2 x 13)).
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The diameters of Red Delicious apples in a certain orchard have a mean of 2.63 in. and a standard deviation of 0.25 in and come from a bimodal distribution. A sample of size 100 is taken, what is the shape of the sampling distribution of sample means
The shape of the sampling distribution of sample means from a sample of size 100 taken from a bimodal distribution of Red Delicious apple diameters with a mean of 2.63 in. and a standard deviation of 0.25 in. is approximately normal.
According to the central limit theorem, when the sample size is sufficiently large (typically greater than 30) and the population distribution is not severely skewed, the sampling distribution of sample means tends to approximate a normal distribution, regardless of the shape of the population distribution.
In this case, even though the population distribution of Red Delicious apple diameters is bimodal, the sample size of 100 is considered large enough for the central limit theorem to apply. As a result, the sampling distribution of sample means will be approximately normal.
This means that if we were to take multiple random samples of size 100 from the orchard and calculate the mean diameter for each sample, the distribution of those sample means would be bell-shaped and follow a normal distribution.
Therefore, the shape of the sampling distribution of sample means from the given sample size and population distribution is approximately normal.
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Complete the table.
Distances:
a = _pi
b = _pi
c = _pi
Heights:
d =
e =
f =
The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.
What is distance?The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.
Given:
The time, t = π / 2 sec,
Calculate the distance by using the formula given below,
\(Distance = r\times time\)
So, for distance, a = 1 × π / 2 = π / 2
for distance, b = 1 × π = π
for distance, c = 1 × 3 π / 2 = 3 π / 2
Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.
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Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x, what is DE
The equation for DE is \(8+9x\)
According to the question statement, Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x. We are supposed to find DE.
For solving this we need to know about Linear Equations and Bisector of a line.
Given that, DS = 10 + 3x and ES = -2 + 6x.
S is mid point of line DE as RQ bisects it.
So DS = SE
And DE = DS + SE
Hence, DE = \(10 + 3x + (-2 + 6x)\)
DE = \(10 + 3x -2 + 6x\)
DE = \(10 -2 +3x+6x\)
DE = \(8+9x\)
Hence equation of DE is 8+9x.
Linear Equation: The equation whose graph is always a straight line.Bisector of a line: The line or a point which divides it in two equal portions i.e., bisects it.To learn more about linear equations, click the link given below
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3 over 4 = 1 over 4 m
The value of m in the proportion is given as follows m = 3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The proportion is defined as follows:
3/4 = (1/4)m.
As the values have a proportional relationship, the value of m can be obtained applying cross multiplication, as follows:
3/4 = (1/4)m
cross multiplication;
3/4 x 4 = m
m = 3
Hence m =3 is the value that satisfies the proportion in this problem.
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Consider the cylinder, given in the figure {r=1.5, h=3}. The potential V within the cylinder is given in cylindrical coordinates as: V = 5r + 4 cos Ø Calculate the total charge within the cylinder.
To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.
The total charge can be obtained by integrating the charge density over the volume of the cylinder.
The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.
The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²
Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز
Applying this operator to the potential function V, we find:
∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز
To find the charge density, we substitute this expression into ρ = -∇²V:
ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز
To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:
Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV
The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.
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The perimeter of a rectangular chicken coop is 30 feet. the width is w feets and the length is w + 4 feet. what is the length and width of the coop
The width and length of the chicken coop are 5.5 feet and 9.5 feet respectively.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by P = 2L + 2W, where L is the length, W is the width and P is the perimeter.
We know that the width is w feet and the length is w+4 feet.
Given that the perimeter of the chicken coop is 30 feet, we can set up the following equation:
30 = 2(w + 4) + 2w
We can simplify this equation by combining like terms:
30 = 2w + 8 + 2w
30 = 4w + 8
22 = 4w
w = 5.5
So the width of the coop is 5.5 feet.
To find the length of the coop, we can use the information that the width is 5.5 feet and the length is w+4 feet.
The length of the coop is 5.5 + 4 = 9.5 feet
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the scores on a statistics test had a mean of 81 and a standard deviation of 9. one student was absent on the test day, and his score wasn’t included in the calculation. if his score of 84 was added to the distribution of scores, what would happen to the mean and standard deviation?
Considering the concepts of the mean and the standard deviation, we have that:
The mean would increase.The standard deviation would remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.When the measure of 84 is added, we have that:
A measure greater than the mean is added, hence the mean would increase.The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.More can be learned about the mean and the standard deviation of a data-set at https://brainly.com/question/26941429
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3x+4y=36
Y=-1/2+8
How do I solve this?
Answer:
x = 2
Step-by-step explanation:
3x+4y=36
Y=-1/2+8
Now we substitute y with -1/2+8.
3x + 4(-1/2+8) = 36
3x + 4(7.5) = 36
3x + 30 = 36
3x = 6
x = 2
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3k+30=95+k+2k-5
Answer:
Step-by-step explanation:
3k+30=95+k+2k-5
3k+30=100+3k
-30 -30
3k=70+3k
-3k -3k
k=70
Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable
Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.
What is a regression line?In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.
In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;
Y = α₀+α₁X+α₂X₂+ε
Where:
Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.In conclusion, Y represent the dependent variable or response variable in a linear regression.
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A quadrilateral is inscribed in a circle two of the angles are 33° and 57°. Which statements are correct?
Answer:
Step-by-step explanation:
Remark
If you are given choices, you should quote them; Otherwise we are guessing. I will give you some some choices.
The two angles are next to each other. They cannot be opposite one another. Opposite angles are supplementary. These two angles are do not add to 180jim has a dog. jim buys 6 bags of dog biscuits. there are 27 biscuits in each bag of dog biscuits. jims dog eats 5 dog biscuits each day. has jim brought enough dog biscuits for 4 weeks. you must show how you got your answer
Answer:
i will give it to you
Step-by-step explanation:
that's it for you dear
The relationship between food purchased and food eaten by dogs can be written as, 162 biscuits ≥ 80 biscuits
What is multiplication?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.
First, let's calculate the total number of dog biscuits that Jim has bought:
= 6 bags × 27 biscuits per bag
= 162 biscuits
Next, let's calculate how many biscuits the dog will eat in 4 weeks:
= 4 weeks × 5 biscuits per day
= 20 biscuits per week
20 biscuits per week × 4 weeks = 80 biscuits
So, Jim has bought 162 biscuits and his dog will eat 80 biscuits in 4 weeks. This means that Jim has brought enough dog biscuits for his dog for 4 weeks.
162 biscuits ≥ 80 biscuits
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An environmental agency is analyzing water samples from 80 lakes for pollution. Five of the lakes have dangerously high levels of dioxin. Six lakes are randomly selected from the sample. Using technology, how many ways could one polluted lake and five non-polluted lakes be chosen?
There are 658,008 ways to choose 5 non-Polluted lakes from the remaining 79 lakes.
To determine the number of ways to choose one polluted lake and five non-polluted lakes from a sample of 80 lakes, we can use the concept of combinations.
The total number of ways to choose a group of lakes from a larger set is given by the formula for combinations, which is denoted as "n choose r" and calculated as:
C(n, r) = n! / (r!(n-r)!)
Where n represents the total number of lakes and r represents the number of lakes to be chosen.
In this case, there are 80 lakes in the sample and we want to choose 1 polluted lake and 5 non-polluted lakes. Therefore, we have:
n = 80 (total number of lakes)
r = 1 (number of polluted lakes to be chosen)
Using the combination formula, we can calculate:
C(80, 1) = 80! / (1!(80-1)!)
= 80! / (1! * 79!)
= 80
So there are 80 ways to choose 1 polluted lake from the sample of 80 lakes.
Next, we want to choose 5 non-polluted lakes from the remaining 79 lakes (after choosing 1 polluted lake). Using the combination formula again:
C(79, 5) = 79! / (5!(79-5)!)
= 79! / (5! * 74!)
= 79 * 78 * 77 * 76 * 75 / (5 * 4 * 3 * 2 * 1)
= 658,008
Therefore, there are 658,008 ways to choose 5 non-polluted lakes from the remaining 79 lakes.
To find the total number of ways to choose one polluted lake and five non-polluted lakes, we multiply the number of ways for each category:
Total number of ways = 80 * 658,008
= 52,640,640
Hence, there are 52,640,640 ways to choose one polluted lake and five non-polluted lakes from the given sample of 80 lakes.
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16×25×15 =?
4+11÷2=?
?-?=?
Answer:
16x25x15=6000
4+11÷2=9.5
Step-by-step explanation:
1) 16x25x15 is 16 times 25 times 15, which is 6000
2) This question requires BIDMAS/BODMAS. As you start with the multiplication (Brackets Indices Multi Divide Add Subtract) 11÷2 = 5.5, 5.5+4=9.5
Find the number of cubical boxes of edge 3cm that can be packed in a box of volume 5832cm square
Pack 216 cube-shaped boxes of edge 3 cm in a larger box with a volume of 5832 cubic cm.
The volume of each cube-shaped box is given by the formula:
\(V = edge^3\)
Substituting the value of edge as 3 cm, we get:
\(V = 3^3 = 27\) cubic cm
To find the number of boxes that can be packed in a larger box with a volume of 5832 cubic cm, we need to divide the volume of the larger box by the volume of each smaller box:
Number of boxes = Volume of larger box / Volume of each smaller box
Number of boxes = 5832 cubic cm / 27 cubic cm
Number of boxes = 216
Therefore, we can pack 216 cube-shaped boxes of edge 3 cm in a larger box with a volume of 5832 cubic cm.
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Which of the following inequalities is correct?
Answer:
A
Step-by-step explanation:
I think a cuz b=1 and c=7 and if c and b were negative -1>-7 which is correct
a trapezoid in a coordinated plane has vertices (-2,5) (-3, -2) (2, -2) and (1,5) what is the height of the trapazoid
Answer: 7
Step-by-step explanation:
If you draw it out, you can visually tell it's 5 units, but you can also tell by looking at the two distinct y values, -2 and 5. The distance between them is 7 units, as you take the absolute value of both of them, then add to get 7.
X is the number paired with the bisector of angle LMN. X = ?
The total angle X is 105 degree as X is the number paired with the bisector of angle LMN.
What is an Angle bisector ?
Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts. If we draw a ray that bisects an angle into two equal parts of the same measure, then it is called an angle bisector.
If x is the bisector of ∠LMN then it would divide the angle in half.
∠OMN = 70
∠OML = 140
∠OML - ∠OMN = 140 - 70 = 70
If x is the bisector of ∠LMN then it would divide the angle in half.
∠NMx = 70/2 = 35
the total angle = ∠OMN + ∠NMx = 70 + 35 = 105
Therefore , The total angle X is 105 degree as X is the number paired with the bisector of angle LMN.
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