The two correct answers for the dot plot on the First and Second Period is A. the first period is right skewed while the second period is symmetrical.
How do we know the skew ?To determine the skewness of a distribution, we need to look at the shape of the data. In a right-skewed distribution, the tail of the data is longer on the right side and the mode (peak) of the data is lower than the mean.
In a symmetrical distribution, the data is evenly distributed around the mean and the mode and the tail lengths on both sides are equal.
So, based on the given information that the dot plot for the first period is right-skewed while the second period is symmetrical, we can infer that the first period has a longer tail on the right side and the mode is lower than the mean, indicating a right-skewed distribution.
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Let v = 9j and let u be a vector with length 3 that starts at the origin and rotates in the xy-plane. Find the maximum and minimum values of the length of the vector u × v.
maximum
minimum
Incorrect: Your answer is incorrect.
Therefore , the solution of the given problem of coordinates comes out to be the vector u v's length can be as long as 27, and it can be as short as -27.
What exactly is coordinate plane mean?A parameter can accurately detect position using a variety of attributes or coordinates when used in conjunction with specific other algebra elements on this location, such as Euclidean space. When travelling in reflected space, coordinates, which look as groups of numbers, can be used to pinpoint specific locations or objects. Finding an object over both surfaces can be done using the y & x measurements.
Here,
We can use the knowledge that the length of the cross product of the vectors u and v is equal to the sum of the lengths of u and v multiplied by the sine of the angle between them to determine the maximum and minimum values of the length of the vector u v:
=> |u × v| = |u| |v| sin(θ)
We have |v| = 9 since v = 9j. Additionally, since u rotates on the xy plane and has a length of 3, we can write u as u = (3 cosθ) i + (3 sinθ) j.
This happens when = /2, and sin() has a minimum value of 1, which happens when = 3/2.
Therefore, |u v| has the following maximum value:
=> |u × v| = |u| |v| sin(π/2) = 3(9)(1) = 27
And |u × v| has the following minimum value:
=> |u × v| = |u| |v| sin(3π/2) = 3(9)(-1) = -27
Thus, the vector u v's length can be as long as 27, and it can be as short as -27.
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100 POINTS PLEASE HURRY MY MOM IS GOING TO GROUND ME
Scale Factor HC)
Sam has a pool deck that is shaped like a triangle with a base of 15 feet and a height of 9 feet. He plans to build a 3:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
Answer:
Step-by-step explanation:
The base of the new deck will be 3/5 times the base of the original deck, and the height will also be 3/5 times the height of the original deck. Therefore, the dimensions of the new deck are 9 feet for the base and 5.4 feet for the height.
Somebody please help me ITS URGENT
Answer:
Equation: 4I + 25 = 175
Ticket: $37.50
Step-by-step explanation:
4I + 25 = 175
4I + 25 - 25 = 175 -25
4l = 150
4l = 150/4
I = $37.50
✧☆*: .。. Hope this helps, happy learning! (*✧×✧*) .。.:*☆✧
volumes of two separate solids are 15 cm and 45 cm what is the ratio of their surface areas
1:3
1:9
1:27
15.3
The ratio of their volumes is 1:3.
What is volume?
Volume is a physical quantity that measures the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters (m³) or cubic centimeters (cm³). The volume of an object can be calculated by multiplying its length, width, and height or by measuring the amount of substance it contains, such as in the case of a liquid or a gas. Volume is an important concept in physics, chemistry, and engineering, and is used to describe a wide range of phenomena, including the size of objects, the amount of material required for a given task, and the capacity of containers
The ratio of the volumes of two solids can be found by dividing the larger volume by the smaller volume.
Let's assume that the volume of the smaller solid is 15 cm and the volume of the larger solid is 45 cm.
The ratio of the volumes of the larger solid to the smaller solid is:
45 cm / 15 cm = 3
Therefore, the ratio of the volumes of the two solids is 3:1.
So the ratio is 1:3.
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Correct question is "volumes of two separate solids are 15 cm³ and 45 cm³ what is the ratio of their volumes -
1:31:91:2715.3"A man deposited GH¢14100.00 at 8% per annum compound interest. If at the end of 4
years he transfers the total amount to another bank offering 12% compound interest per
annum.
a. How much interest did he get at the end of 7 years?
b. Calculate the total amount he received at the end of seven years.
a. the man received GH¢26062.23 in interest at the end of 7 years.
b. the man received a total of GH¢40162.23 at the end of 7 years.
What is compound interest?The interest that is calculated using bοth the principal and the interest that has accrued during the previοus periοd is called cοmpοund interest. It differs frοm simple interest in that the principal is nοt taken intο accοunt when determining the interest fοr the subsequent periοd with simple interest.
a. Tο find the amοunt οf interest the man received at the end οf 7 years, we need tο first calculate the amοunt οf mοney he wοuld have at the end οf 4 years at 8% cοmpοund interest:
[tex]A = P(1 + r/n)^{(nt)[/tex]
where A is the amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.
In this case, P = GH¢14100.00, r = 0.08, n = 1 (compounded annually), and t = 4. Plugging these values into the formula, we get:
[tex]A = GH¢14100.00(1 + 0.08/1)^{(1*4)[/tex]
[tex]A = GH¢14100.00(1.08)^4[/tex]
A ≈ GH¢19792.11
So at the end of 4 years, the man would have GH¢19792.11. We can now use this as the principal and calculate the amount he would have at the end of 7 years at 12% compound interest:
[tex]A = P(1 + r/n)^{(nt)[/tex]
where P = GH¢19792.11, r = 0.12, n = 1, and t = 7.
Plugging these values into the formula, we get:
[tex]A = GH¢19792.11(1 + 0.12/1)^{(1*7)[/tex]
A ≈ GH¢40162.23
So at the end of 7 years, the man would have GH¢40162.23. To find the amount of interest he received, we subtract the original principal of GH¢14100.00:
Interest = GH¢40162.23 - GH¢14100.00
Interest = GH¢26062.23
Therefore, the man received GH¢26062.23 in interest at the end of 7 years.
b. To calculate the total amount the man received at the end of 7 years, we add the interest received to the original principal plus the amount earned from compound interest:
Total amount = GH¢14100.00 + GH¢26062.23
Total amount = GH¢40162.23
Therefore, the man received a total of GH¢40162.23 at the end of 7 years.
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what number represented by the expanded form shown? Write the number in the place value thirty-six and fourteen hundreds
The number in expanded form can be written as 1000+400+30+6.Place value of 36 is Tens and place value of 1400 is thousand.
In Mathematics, What does "Place value" refers to?The position or placement of a digit within a number impacts its value, according to the mathematical notion of place value. It is a number-representation system in which the value of each digit is determined by its location in the number.
How to find expanded form of a number?The expanded form of the number can be found by multiplying its Face value with place value.
Let's consider the number 2603. In this number:
3 is in the "ones" place, so its place value is 3.
0 is in the "tens" place, so its place value is 0 multiplied by 10, which is 00.
6 is in the "hundreds" place, so its place value is 6 multiplied by 100, which is 600.
2 is in the "thousands" place, so its place value is 2 multiplied by 1000, which is 2000.
Place value can be detertermined by using, Place value chart as given below,
Th H T O
1 4 3 6
Hence, For given number, the expanded form will be,
[tex]1*1000+4*100+3*10+6 = 1000+400+30+6[/tex]
Number in place value 36 will be
T O
3 6
i.e (3 x 10+6). Place value of 36 is tens
and 1400 will be
Th H T O
1 4 0 0
i.e (1x1000+4x100). Place value of 1400 is thousand.
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3. A rhombus has side lengths of 4 centimeters and an area of 12 square centimeters. What is the height of the rhombus?
O 6 cm
O 4 cm
O 3 cm
O 8 cm
Answer:
3cm
Step-by-step explanation:
Using the formula A=b×h, if b=4cm and A=12cm²,
h=12/4=3cm.
Hope this helps!
need answer right nowwwww
Answer:
CAN YOU SHOW THE QUESTION SO I CAN HELP YOU?????????Step-by-step explanation
.
Describe the location of the point in relation to the origin.
(-2, 4, -1)
answer
2 left, 4 right, 1 down
2 left, 4 up, 1 back
2 back, 4 up, 1 left
2 back, 4 right, 1 down
Answer: The correct answer is: 2 left, 4 up, 1 back.
Step-by-step explanation: The location of the point (-2, 4, -1) in relation to the origin is best described as 2 units to the left, 4 units up, and 1 unit down. This is because each coordinate represents a direction and a distance from the origin, which is the point (0,0,0) in 3-dimensional space. The first coordinate (-2) represents the distance and direction in the x-axis, the second coordinate (4) represents the distance and direction in the y-axis, and the third coordinate (-1) represents the distance and direction in the z-axis. Therefore, we can conclude that the point is located 2 units to the left of the origin in the x-axis, 4 units up from the origin in the y-axis, and 1 unit down from the origin in the z-axis.
The ratio of Brilliant Blue shampoo is 1 part shampoo to 4 parts water.
How much shampoo will be needed if we use 28 cups of water?
Answer: 7
Step-by-step explanation:
The ratio is 1:4 so 1/4. Plug in the numbers for the water, 1:4, X:28.
Then divide to find X.
28/4= 7
So your answer is 7. Check your work with multiplication
1:4 = 7:28