Answer: $14.20
Step-by-step explanation:
the 42.60 has to be given to three people equally, (two makers and yourself).
42.60/3 = $14.20/person
Answer: $14.20
Step-by-step explanation:
Since you share with 2 other people, there are 3 people (including yourself) that are entitled to the tip.
∴ $42.60/3= $14.20 each.
You get $14.20
Hope this helps :)
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.
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Please help I’ll give brainliest!! What ordered pairs are the solutions of the system of equations shown in the graph
below?
Answer:
(-1,3) and (3,-5)
Step-by-step explanation:
I'm assuming since it is giving no information that it wants where the two graph intersect each other.
So, by the looks of it they intersect at
(-1,3) and (3,-5)
Pls show your work thank you will mark the Brainliest
The exponential function that best models the number of game systems sold, in million, x years since 2015 is given as follows:
y = 30.5(0.7)^x.
How to model an exponential function?The standard definition of an exponential function is given as follows:
y = ab^x.
In which:
a is the initial value, the value of y when x = 0.b is the rate of change.Considering the graph, the parameters for this problem are given as follows:
a = 30.5.b = 21.35/30.5 = 0.7.Hence the function is defined as follows:
y = 30.5(0.7)^x.
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what is the cubed root of -343
Answer:
-7
Step-by-step explanation:
Answer: -7
Step-by-step explanation: I hope this helped you out!!!! Please mark me as brainiest.
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
Suppose a snow machine could pull this log with a force of 1000 N from the wood 1000
meters away and it took 100 seconds, how much power would you say this snow
machine has?
Given
The power of the snow machine is 10,000 Joules per second.
What is the power of the snow machine?power is simply the amount of energy transferred or converted per unit time.
It is expressed as;
P = work-done / time
P = ( force × displacement ) / time.
Given the data in the question;
Force = 1000NDisplacement = 1000mTime = 100sPower P = ?Plug the given values into the above formula and solve for P.
P = ( 1000N × 1000m ) / 100s
P = ( 1000000Nm / 100s
P = 10,000 Nm/s
P = 10,000 J/s
Therefore, the power of the machine is 10,000 J/s.
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Nishtha has rs 1 coin , rs 2 coin , rs 5 coin, rs 10 coin. She needs to pay for a pencil rs 4. What is the probability of her using 5 rs coin
The probability of Nishtha using Rs 5 coin is [tex]\frac{1}{4}[/tex] , if she needs to pay for a pencil Rs 4.
P(E) = number of favorable outcomes / total number of outcomes
Denominations of coins = ₹1, ₹2, ₹5 and ₹10 each
Total number of coins = 4
Coins that can pay the amount = ₹5 and ₹10
Number of Favorable Outcomes = 2
For the probability of using two coins :-
P(E) = [tex]\frac{2}{4} = \frac{1}{2}[/tex]
we have to find the probability of using ₹5 coin. And here the probability of using of ₹5 coin and ₹10 coin are equal likely. So using of ₹5 coin is 50% of the probability of using both coin
P(rs5) = [tex]50\% \times \frac{1}{2}[/tex]
= [tex]\frac{1}{4}[/tex]
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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.
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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.
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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
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
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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.
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A bakery sold 73 bagels in the first hour of business if the bakery had 246 bagels to start with how many bagels were left after the first hour?
Step-by-step explanation:
173 bagels left after the first hour.
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.
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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.
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The following question may be like this:
What is a right isosceles triangle?
A figure is dilated by a scale factor of 3 and is rotated 90° clockwise.
Complete the description of the transformations that will transform the image back into the original figure. Drag and drop each choice into the correct boxes to complete the sentences below.
Answer:
Answers are below ----v
Step-by-step explanation:
1. Clockwise
2. 3
3. (y, -x)
4. (3x,3y)
need answers ASAP!!!!!!!!!!!!!!
(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.
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
x = -5
x=4
y = -5
y = 4
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x = -5.
How do equations work?A mathematical statement that equates two algebraic expressions is known as an equation. The equal to (=) sign appears between the expression and an equation.
How do parallel lines work?Parallel lines are straight lines in the same plane that never cross each other.
The parallel lines have the same slope.
Given that,
Equation of the given line is x = -2
Any line parallel to this line will be in the form x = K, where K is a constant.
The line will pass through ( -5 , 4).
The line x = K will satisfy the point ( -5 , 4)
-5 = K
x = -5
Hence, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x = -5.
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In a particular hospital, 6 newborn babies were delivered yesterday. Here are their weights (in ounces).
94, 113, 93, 123, 93, 102
Send data to calculator
Assuming that these weights constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
The standard deviation of the population is approximately 11.8 ounces.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The formula to find the standard deviation is given
σ = √( Σ(x - μ)² / N )
where μ is the mean.
μ = (94 + 113 + 93 + 123 + 93 + 102) / 6 = 100
Next, we can calculate the deviations of each value from the mean:
94 - 100 = -6
113 - 100 = 13
93 - 100 = -7
123 - 100 = 23
93 - 100 = -7
102 - 100 = 2
σ = √( -6)²+( 13)²+( -7)²+( 23)² +( -7)²+( 2)²/ 6 )
=√36+169+49+529+49+4/6
=√836/6=11.8
Hence, the standard deviation of the population is approximately 11.8 ounces.
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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.
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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.
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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.
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).
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(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.
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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.
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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.
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____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?
100 is what percent less than 110?
Answer:
9.09%
(⬇Read my notes⬇)
Notes:
Hi there,
I know this answer is going to be incorrect on RSM, but it is the correct answer. Everyone has been saying that it's 9.09%, and I even found that as well. So I don't know why RSM is saying that it's wrong, because it should be correct.
- 201600823
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.
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which of the following statements is more accurate? question 42 options: observations are only as good as the hypotheses on which they are based. hypotheses are only as good as the observations on which they are based.
The more accurate statement is that hypotheses are only as good as the observations on which they are based.
A hypothesis is a tested assertion regarding the relationship between two or more variables or a suggested explanation for some observable occurrence in a scientific setting.
As a result, hypothesis are only as good as the observations upon which they are built.
For instance, if we stay up late, we will be fatigued the next day. Turning off your phone allows it to charge more quickly. All of them are hypotheses since they are based on observations and are only valid for as long as the observations stay true.
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Simplify. -8/9 - (-2/9)
- 8/9 - (-2/9)
The answer I have gotten is -6/9
