The correct option is "the standard error is the standard deviation of the sampling distribution." Correct option is A.
The standard error is a measure of the variability of a sampling distribution, which is the distribution of sample statistics (e.g., mean, proportion) that would be obtained from multiple random samples of the same size from the same population.
The standard error represents the standard deviation of the sampling distribution, and it provides a measure of the precision of the sample statistic in estimating the population parameter.
The standard error is not the same as the standard deviation of the sample, which is a measure of the variability of the individual observations in the sample.
The standard deviation of the sample is typically used to estimate the standard deviation of the population, while the standard error is used to estimate the variability of the sample statistic and to construct confidence intervals or perform hypothesis tests.
While the other options are related to the concept of the standard error, they are not equivalent or fully accurate descriptions of what the standard error represents.
To learn more about standard error click on,
https://brainly.com/question/18233448
#SPJ4
Complete question is:
What is the standard error?
group of answer choices
A. the standard error is the standard deviation of the sampling distribution
B. the standard error is a measure of how representative a sample statistic is likely to be of the population parameter.
C. the standard error is calculated using the standard deviation of the sample all of the options describe the standard error.
When multiplying 32 and 8, _____.
when we multiply 8 x 2, we will add drop down the 6
when we multiply 8 by 3, we will add 1
both of these are correct
neither of these are correct
Both of these are correct. When multiplying 32 and 8, we should follow these steps:
Multiply 8 by 2, which is the last digit of 32. This gives us 16.Drop down the 6 and carry the 1.Multiply 8 by 3, which is the second to last digit of 32. This gives us 24.Add the 1 that we carried from the previous step to 24, which gives us 25.Drop down the 5 and carry the 2.Since there are no more digits in 32 to multiply, we can drop down the 2 that we carried.The final answer is 256.So, the correct answer is 256.
Here is the multiplication shown step-by-step:
32
8
16 --> drop down 6 and carry the 1
1
32
8
6
24- --> drop down the 4 and add 1; carry the 2
56
2
32
8
6
5 -
2 - - --> drop down the 2 since no more digits available to multiply
256 --> the answer
Learn more about Multiplication here: brainly.com/question/620034
#SPJ11
Find the missing length the triangles are similar
Answer:
[tex]49[/tex]
Step-by-step explanation:
[tex]\frac{US}{UD}=\frac{UT}{UC} \implies US=\frac{(56)(14)}{16}=49[/tex]
On the following scale drawing, the scale is 2 centimeters-1 meter.
1. Make a new scale drawing of this rectangular figure using the scale 3 centimeters-1 meter. Make sure to label the
new dimensions.
2. What are the actual dimensions of the figure?
7.8 cm
4.2 cm
Based on the information and the dimensions of the scaled figure, we can infer that the dimensions of the actual figure are 2.1 meters by 3.9 meters.
How to calculate the measurements of the original figure?To calculate the measures of the original figure we must apply a rule of three. In this case, the logic that we must use is: if 2 centimeters are equivalent to 1 meter, how much is 4.2 cm and 7.8 cm respectively.
2 - 1004.2 - ?4.2*100/2=210cm2 - 1007.8 - ?7.8*100/2=390cmAccording to the above, the measurements of the original figure are: 2.1 meters by 3.9 meters.
Learn more about scales in: https://brainly.com/question/1287267
#SPJ1
40° rcm Find the value of z. zem This sector of a circle has radius r and perimeter 20 cm. find the value of z
The value of length of z is 5.06 cm.
What is the value of length z?
The value of length of z is calculated by determining the radius of the sector as shown below;
The formula for the perimeter of a sector is given as;
P = 2r + (θ/360) × 2πr
where;
r is the radius of the sector20 cm = 2r + (40/360) x 2πr
20 = 2r + 0.7r
20 = 2.7r
r = 20/2.7
r = 7.4 cm
A perpendicular bisector of 40⁰ will cut line z into two equal parts, the length of half of z is calculated as;
sin (20) = (z/2) / r
r x sin (20) = (z/2)
2r x sin (20) = z
2 x 7.4 cm x sin(20) = z
5.06 cm = z
Learn more about length z here: https://brainly.com/question/25800303
#SPJ1
Write 60.9% as a decimal.
A.0.0609
B.0.609
C.0.00609
D.6.0900
To convert a percentage to a decimal, divide the percentage by 100, The correct answer is B. 0.609.
What is Decimal number?When the decimal places in the factors are tallied together, they equal the number of decimal places in the product. A decimal number is one with a whole and a fraction part separated by a decimal point.
A base-10 representation of numeric values is used in the decimal numbering system. The system is widely used in daily life to complete routine tasks like grocery shopping, stock trading, keeping track of football scores, or scrolling through cable channels. Decimal numbers include 7, 28, 199, and 532.11.
To convert a percentage to a decimal, divide the percentage by 100.
So, 60.9% as a decimal would be:
60.9 / 100 = 0.609
Therefore, The correct answer is B. 0.609.
To know more about Decimal number visit,
https://brainly.com/question/28393353
#SPJ1
Simplify. -8/9 - (-2/9)
- 8/9 - (-2/9)
The answer I have gotten is -6/9
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.9x²-180x+20,985. How many machines must be made to
minimize the unit cost?
Do not round your answer.
Number of X-ray machines:
The company must make 100 X-ray machines to minimize the unit cost.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
To minimize the unit cost, we need to find the value of x that minimizes the function C(x) = 0.9x² - 180x + 20985.
We can start by taking the derivative of C(x) with respect to x and setting it equal to zero:
C'(x) = 1.8x - 180 = 0
Solving for x, we get:
x = 100
Therefore, the company must make 100 X-ray machines to minimize the unit cost.
To learn more on Differentiation click:
https://brainly.com/question/24898810
#SPJ9
Miss Robert and Mr. Neil have homerooms with the same
perimeter. Mr. Neil's homeroom has a width that
is 1 times the width of Miss Robert's homeroom.
What is the length, /, of Mr. Neil's homeroom?
ft
Miss Robert's
Homeroom
50 ft (w)
33 ft (e)
Mr. Neil's
Homeroom
The length of Mr. Neil's homeroom is (10/11) times the length of Miss Robert's homeroom.
What is the length of Mr. Neil's homeroom?The length of Mr. Neil's homeroom is calculated as follows:
Let's assume that Miss Robert's homeroom has width w and length l, and Mr. Neil's homeroom has width (1¹/₁₀ or 11/10)w and length x.
Both homerooms have the same perimeter, therefore:
2w + 2l = 2(11/10)w + 2x
Simplifying the equation:
2l - 2x = (2/10)w
l - x = (1/10)w
x = l - (1/10)w
To solve for x, we need to express it in terms of l and w.
From the equation above, we can substitute x with l - (1/10)w:
(11/10)w = 2l - x
(11/10)w = 2l - l + (1/10)w
(10/10)w = l + (1/10)w
w = (10/11)l
Substituting w with (10/11)l in the expression for x, we get:
x = l - (1/10)(10/11)l
x = l - (1/11)l
x = (10/11)l
Therefore, the length of Mr. Neil's homeroom is (10/11) times the length of Miss Robert's homeroom.
Learn more about the length of a room at: https://brainly.com/question/28839698
#SPJ1
CAN SOMEONE HELP ASAP! ITS FOR HOMEWORK AND I DONT KNOW HOW TO DO ANYTHING !!!
The missing angles are
A. = 130 degrees
B. = 55 degrees
C. = 145 degrees
D. = 73 degrees
E. = 43 degrees
F. = 23 degrees
G. = 61 degrees
H. = 90 degrees
I. = 50 degrees
J. = 27 degrees
K. = 25 degrees
How to find the valuesAssuming the missing angle in each case is x
A. Angle on a straight line = 180 degree
x + 50 = 180
x = 130 degrees
B. Angle at a point = 360 degrees
209 + 96 + x = 360
x = 360 - 96 - 209
= 55 degrees
C. Angle on a straight line = 180 degree
= 145 degrees
D. Vertical angles are equal, using vertical angle theorem
= 73 degrees
E. vertical angle theorem
= 43 degrees
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ1
The advertised price of a plasma tv is n99990 including vat at 5%. If the government raises vat to 8%, calculate the new price of the tv. (to the nearest 10 naira)
The price of new Tv is 107,990 including VAT .The percentage increase in price of tv is 8% in rate.
The current price of the plasma TV including VAT at 5% is 99,990 naira.
If the government raises VAT to 8%, the new price of the TV including VAT can be calculated as follows:
New price = current price * (1 + new VAT rate)
New price = 99,990 * (1 + 0.08)
New price = 107,992.2
Rounding the new price to the nearest 10 naira gives: 107,990 naira.
The increase in price of the TV can be calculated as follows:
Price increase = new price - current price
Price increase = 107,990 - 99,990
Price increase = 8,000
The percentage increase in price of the TV can be calculated as follows:
Percentage increase = (price increase / current price) * 100%
Percentage increase = (8,000 / 99,990) * 100%
Percentage increase = 8.0%
Therefore, the new price of the TV including VAT at 8% is 107,990 naira, and there is a 8.0% increase in price.
To know more about VAT :
https://brainly.com/question/24216357
#SPJ4
____The given question is incomplete, the complete question is given below:
The advertised price of a plasma tv is 99,990 naira including vat at 5%. If the government raises vat to 8%,calculate the new price of the tv ,(to the nearest 10 naira) what is the percentage increase in price of the tv?
hized, accurate, and has a circled answer.
Problem #6 Kiran walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain
empties water from the tank at a constant rate. When Kiran first sees the tank, it contains 12 gallons
of water. Four minutes later, the tank contains 10 gallons of water.
a.
b.
C.
At what rate is the amount of water in the tank changing? Use a signed number (positive or
negative) in your answer.
How many more minutes will it take for the tank to drain completely?
How many minutes before Kiran arrived was the water tank completely full?
(a) The rate at which the amount of water is changing is -1/2.
(b) It will take 20 more minutes to drain the water completely.
(c) The tank was completely full 3 minutes before Kiran arrive.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
(a) Given that,
When Kiran first sees the tank, it contains 12 gallons of water. Four minutes later, the tank contains 10 gallons of water.
Rate at which the amount of water is changing = (10 - 12) / 4 = -2/4 = -1/2 gallons per minute.
(b) Time taken to drain 1/2 gallon = 1 minute
There are 10 gallons of water remaining in the tank.
Time taken to drain 10 gallons of water = (1 ÷ 1/2) × 10 = 20 minutes
It will take 20 more minutes to drain the water completely.
(c) When Kiran arrived, water tank has 12 gallons of water.
Total amount of water in the tank is 15 gallons.
Tank has lost 3 gallons of water before Kiran arrived.
Time taken to drain 3 gallons = (1 ÷ 1/2) × 3 = 6 minutes
So the tank was completely full 3 minutes before Kiran arrive.
Hence the rate is -1/2 gallons per minute.
Learn more about Unit Rate here :
https://brainly.com/question/13604970
#SPJ1
g hich is more affected by extreme observations, the mean or median? and how about the standard deviation or iqr? mean, standard deviation mean, iqr median, standard deviation median, iqr
The combinations that are more affected by extreme observations are mean and standard deviation, while the combinations that are less affected are median and IQR.
The mean is more affected by extreme observations, because it takes into account the value of every observation in the data set, whereas the median only considers the middle value(s) and is therefore less sensitive to extreme values.
The standard deviation is more affected by extreme observations, because it takes into account the difference between each observation and the mean of the data set. A single extreme value can have a large impact on the mean, and therefore on the standard deviation.
On the other hand, the interquartile range (IQR) is less affected by extreme observations, because it only considers the range of the middle 50% of the data. The median and IQR are often used together to describe a data set that has extreme values or is not normally distributed.
To learn more about standard deviation please click on below link
https://brainly.com/question/23907081
#SPJ4
simplify each expression. 3x + 7 + 4x - 2
Answer: 3x+7+4x-2
Step-by-step explanation: 3x+4=7x
7-2=5
so the answer should be 7x+5
need answers ASAP!!!!!!!!!!!!!!
URGENT
Translate into an equation. (Use x to represent the smaller number. Translate the second sentence to write your equation.)
The sum of two numbers is fourteen. The total of three times the smaller and twice the larger is thirty-one.
Answer:
small number=3 while Big number is, 13
Step-by-step explanation:
X+y=14
3x+2y=31
3(x+y=14)
3x+3y=42 + 3x+2y=31
X=3,y=11
Please Help! I Have Limited Time! A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?
A. (3, 6) and (7, 3)
B. (3, 7) and (9, 1)
C. (1, 9) and (10, 1)
D. (1, 7) and (2, 5)
The two points that a line of fit will go through to best fit the data are;
B: ( 3, 7) and (9, 1)
How to Interpret the Scatter Plot?Scatter plots are defined as the graphs that present the relationship between two variables in a data-set. It is used to represent data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.
A line of best fit is a straight line drawn through the maximum number of points on a scatter plot. It should have an equal number of points above and below that line. This is best represented on the blue line on the attached graph. It touched 4 points and is between the green and red line.
Read more about Scatter Plot at; https://brainly.com/question/6592115
#SPJ1
(03.03 LC)
How does the graph of g(x) = (x - 2)3 + 7 compare to the parent function f(x) = x³?
The graph of g(x) = (x - 2)^3 + 7 is a transformation of the parent function f(x) = x^3.
The parent function f(x) = x^3 has a shape that is symmetrical about the origin and increases as x moves away from the origin. The graph of g(x) = (x - 2)^3 + 7 is also symmetrical about the origin, but it has been translated 2 units to the right and 7 units up from the parent function.
So, the graph of g(x) = (x - 2)^3 + 7 is similar in shape to the parent function f(x) = x^3, but it is shifted to the right and up on the coordinate plane.
Ivy invested GH¢1000. 00 at 5% simple interest per annum for 5 years. How much was her investment worth after her investment ?
The total value of the investment of $1000.00 at 5% simple interest for 5 years equals $1,250.
Total principal 'P' amount invested by Ivy is equal to $1,000.
Time period of investment 't' = 5 years
Rate of simple interest 'r' = 5%
Simple interest = ( Principal × rate of interest × time ) / 100
⇒ Simple interest = ( 1000 × 5 × 5 ) / 100
⇒ Simple interest = $250
Total value of the invested principal amount is equal to
= Principal amount + simple interest
= $1,000 + $250
= $1,250
Therefore, the total investment value of the principal amount at simple interest rate for 5 years is equal to $1,250.
The above question is incomplete, the complete question is:
Ivy invested $1000. 00 at 5% simple interest per annum for 5 years. How much was her investment worth after her investment ?
Learn more about simple interest here
brainly.com/question/22621039
#SPJ4
Evaluate 4t + 8 if t = 3.
=4t + 8
=4×3 + 8
= 12 +8
= 20
[tex]...[/tex]
which of these shapes is a right isosceles triangle?
A right isosceles triangle is a triangle with a right angle (90 degrees) and two sides that are equal in length. This means that the triangle is also a special case of an isosceles triangle where the two equal sides are adjacent to the right angle.
To identify a right isosceles triangle among a group of shapes, you should look for the shape that has a right angle and two sides of equal length. One way to check for the right angle is to look for a corner that forms a square angle (i.e., 90 degrees), and one way to check for the equal sides is to compare the length of each side.
For such more question on triangle:
https://brainly.com/question/17335144
#SPJ4
The following question may be like this:
What is a right isosceles triangle?
there are 30 people in a classroom. ignoring the potential of a leap-year birthday (so 365 days), what is the probability that at least one pair of people have the same birthday?
The probability that at least one pair of people have the same birthday, with 30 people in a classroom is approximately 0.7063.
To solve this problem, we can use the concept of the complement of an event. The complement of the event "at least one pair of people have the same birthday" is the event "no pair of people have the same birthday." So, we can find the probability of this complement event and subtract it from 1 to get the probability of the original event.
The probability that the first person has a unique birthday is 1, since there are no other people in the room yet. The probability that the second person also has a unique birthday is (364/365), since there are 364 remaining days in the year that they could be born on.
Similarly, the probability that the third person has a unique birthday is (363/365), and so on, down to the 30th person, whose probability of having a unique birthday is (336/365).
To find the probability that no pair of people have the same birthday, we can multiply these probabilities together:
P(no pair share a birthday) = 1 * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937
Therefore, the probability that at least one pair of people have the same birthday is:
P(at least one pair share a birthday) = 1 - P(no pair share a birthday) ≈ 1 - 0.2937 = 0.7063
So the probability that at least one pair of people have the same birthday is approximately 0.7063, which is quite high. This is known as the birthday problem or birthday paradox.
To learn more about probability click on,
https://brainly.com/question/13493824
#SPJ4
A baker initially makes 10 loaves of bread and sells 2 loaves each day.
How many loaves of bread does the baker have at the end of the second day?
Answer:6
Step-by-step explanation:
day one-2 bread
day two-4 bread
10-4=6
6 at the end of the day
The number of loaves of bread remaining at the end of second day = 6 loaves of bread
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let number of loaves of bread remaining at the end of second day be A
The total number of loaves of bread = 10 loaves
The number of loaves of bread sold each day = 2 loaves
Substituting the values in the equation , we get
So , the number of loaves of bread remaining at end of first day = 10 - 2 = 8
Now , the number of loaves of bread remaining at end of second day = 8 -2
The number of loaves of bread remaining at the end of second day = 6
Therefore , the value of A is 6 loaves of bread
Hence , the equation is A = 6 loaves
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
Maggie made 4 valentines in 6 hours.
What is the RATE of valentines made PER hour?
Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
The statement that is true about the quadratic functions is:
g(x) > h(x) for x = -1.
Which statements are true for functions g(x) and g(x)?Here we have the two quadratic functions:
g(x) = x^2
h(x) = -x^2
Notice that h(x) = -g(x).
Also, g(x) is always positive or zero, while h(x) is always negative, but for x = 0 both have the same value.
g(0) = 0^2 = -0^2 = h(0)
Then the statement that is true is
g(x) > h(x) for x = -1.
Learn more about quadratic functions at:
https://brainly.com/question/1214333
#SPJ1
In ΔNOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle OPQ = (9x-19)^{\circ}m∠OPQ=(9x−19) ∘ , \text{m}\angle PNO = (2x+5)^{\circ}m∠PNO=(2x+5) ∘ , and \text{m}\angle NOP = (3x+16)^{\circ}m∠NOP=(3x+16) ∘. Find \text{m}\angle NOP. M∠NOP
The measure of angle NOP is found by solving an equation that is obtained by using the fact that the sum of the angles in a triangle is 180 degrees. The solution is m∠NOP to obtain the answer of 53.13 degrees.
In the problem, we are given a triangle NOP, where \overline{NP} is extended through point P to point Q. We are given the measures of three angles: m∠OPQ, m∠PNO, and m∠NOP.
We are asked to find the measure of angle NOP.To find the measure of angle NOP, we can use the fact that the sum of the angles in a triangle is always 180 degrees. So, we add up the measures of the three angles we know:
m∠OPQ + m∠PNO + m∠NOP = 180
We are given the measures of m∠OPQ, m∠PNO, and m∠NOP in terms of x. We substitute these values and get an equation in terms of x:
(9x-19) + (2x+5) + (3x+16) = 180
Simplifying the left side of the equation, we combine like terms:
14x + 2 = 180
We can then isolate x by subtracting 2 from both sides of the equation:
14x = 178
And then we can solve for x by dividing both sides of the equation by 14:
x = 12.71
Now that we know x, we can use it to find the measure of angle NOP, which is what we were asked to do. We substitute x = 12.71 into the equation for m∠NOP:
m∠NOP = 3x + 16 = 3(12.71) + 16 = 53.13
Therefore, the measure of angle NOP is 53.13 degrees.
To learn more about triangle Click here:
brainly.com/question/2773823
#SPJ4
Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≥8) , n=9 , p=0. 8
The probability of getting 8 or more successes in 9 trials, with given success rate in each trial is 0.8, is 0.9520.
To find the probability , we can use the cumulative distribution function (CDF) of the binomial distribution:
P(X ≥ 8) = 1 - P(X < 8) = 1 - P(X ≤ 7)
Using a binomial calculator or a binomial probability distribution table, we can find:
P(X ≤ 7) = 0.0480 (rounded to four decimal places)
Therefore,
P(X ≥ 8) = 1 - 0.0480 = 0.9520
So the probability of getting 8 or more successes in 9 trials, given the probability of success in each trial is 0.8, is 0.9520 (rounded to four decimal places).
To know more about Probability:
https://brainly.com/question/28738437
#SPJ4
Gavin wraps a gift box in the shape of a triangular prism. The figure below shows a net for the gift box. How much wrapping paper did he use, in square meters?
The amount of wrapping paper used by Gavin to wrap a triangular prism box is 647.75 m².
What is a prism?
A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
The formula for area of rectangle is -
Area = length × breadth
The area of rectangle ABFG is -
Area = AB × BF
The value for line segment AB = 15 m
The value for line segment BF is -
BF = BC + CE + EF
BF = 14 + 7 + 15.65
BF = 36.65 m
So, the area of rectangle ABFG is -
Area = 15 × 36.65
Area = 549.75 m²
Now, the triangular prism has triangle part left.
The formula for area of triangle is -
Area = 1/2 × base × height
So, the area of triangle IJH is -
Area = 1/2 × IJ × JH
The value for line segment IJ = 14 m
The value for line segment JH = 7 m
So, the area of triangle IJH is -
Area = 1/2 × 14 × 7
Area = 49 m²
Since, there are two triangles (Δ IJH = Δ CDE ) so the area of total shape is -
Total area = Area of ABFG + 2(Area of Δ IJH)
Total area = 549.75 + 2(49)
Total area = 647.75 m²
Therefore, the area of triangular prism box is 647.75 m².
To learn more about prism from the given link
https://brainly.com/question/1297098
#SPJ1
calculate the cost of producing container A using surface area
The program to cost of each container and the total cost of producing all the containers is given below.
How to depict the C ProgramThe program based on the information will be:
#include <iostream>
using namespace std;
int main() {
int r,h,c,n;
cout<<"Enter the base radius : ";
cin>>r;
cout<<"\nEnter the height : ";
cin>>h;
cout<<"\nEnter the cost per square cm : ";
cin>>c;
cout<<"\nEnter the number of containers : ";
cin>>n;
int s_area = (3.14*r*2)+(2*3.14*r*h);
int cost = c*s_area;
int t_cost = n*cost;
cout<<"\nCost of each container : "<<cost<<endl;
cout<<"Total cost : "<<t_cost<<endl;
}
Based on the above, we've created a program to take the radius of the base, the height of the container, the cost per square centimeter of the material cost.
Learn more about program on:
https://brainly.com/question/26642771
#SPJ1
A manufacturer wishes to determine the cost of producing an open-top cylindrical container. The surface area of the container is the sum of the area of the circular base plus the area of the outside (the circumference of the base times the height of the container). Create C program to take the radius of the base, the height of the container, the cost per square centimeter of the material (cost), and the number of containers to be produced (quantity). Calculate the cost of each container and the total cost of producing all the containers.
(no picture available) - Solid A is dilated using a scale factor of 2/5, resulting in Solid B. Solid B is also dilated using a scale factor of 2/5, resulting in Solid C. If the volume of Solid B is 72km^3, what is the volume of Solid A and Solid C?
The volume of the solids A and C will be 1,125 cubic km and 4.608 cubic km, respectively.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Solid A is dilated using a scale factor of 2/5, resulting in Solid B. Then the volume of solid A is given as,
(Scale factor)³ x (Volume of solid A) = Volume of solid B
(2/5)³ x Volume of solid A = 72
Volume of solid A = 1,125 km³
Solid B is also dilated using a scale factor of 2/5, resulting in Solid C. Then the volume of solid C is given as,
(Scale factor)³ x (Volume of solid B) = Volume of solid C
(2/5)³ x 72 = Volume of solid C
Volume of solid C = 4.608 km³
The volume of the solids A and C will be 1,125 cubic km and 4.608 cubic km, respectively.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ1
Jack works at a party supply store. He sold 750 balloons in the last 15 days. What was his selling rate in balloons per day
his selling rate is: 750 balloons / 15 days = 50 balloons per day . To calculate Jack's selling rate in balloons per day, we need to divide the total number of balloons he sold by the number of days he worked.
This means that Jack sold an average of 50 balloons per day over the last 15 days. This information is useful for several reasons. For example, the party supply store might use this information to evaluate Jack's performance and determine whether he is meeting their expectations. It might also be useful for forecasting future sales, since if Jack continues to sell balloons at a rate of 50 per day, we can estimate how many balloons he will sell in a future period of time by multiplying the number of days by 50. In this case,
Jack sold 750 balloons in 15 days, so his selling rate is: 750 balloons / 15 days = 50 balloons per day
It's important to note that the selling rate of 50 balloons per day is an average, and it's possible that Jack's sales varied from day to day. For example, he might have sold more balloons on some days and fewer on others. However, by calculating the average selling rate, we get a general sense of how many balloons Jack sold per day over the course of the last 15 days.
In conclusion, Jack's selling rate in balloons per day over the last 15 days was 50 balloons. This information provides insight into Jack's performance and can be used to make informed decisions about future sales.
To know more about Jack's selling rate click here:
brainly.com/question/16905380
#SPJ4
