If a shop is selling four bars of soap for $10, we can calculate the cost of 12 bars of soap by setting up a proportion.
Let's assume the cost of 12 bars of soap is 'x' dollars.
We can set up the following proportion:
4 bars / $10 = 12 bars / x
To find the value of 'x', we can cross-multiply and solve for 'x':
4 * x = 12 * $10
4x = $120
Dividing both sides by 4:
x = $30
Therefore, the cost of 12 bars of soap would be $30.
#SPJ11
learn more about costs : https://brainly.com/question/28147009
12)
Solve the problem.
12) A commercial building contractor is trying to decide which of two
projects to commit her company to.
Project A: a profil of $50,000 with a probability of 0.6, a profit of $90,000
with a probability of 0.3, and a profit of $10,000 with a probability of 0.1.
Project B: a profit of $100,000 with a probability of 0.1, a profit of $64,000
with a probability of 0.7, and a loss of $20,000 with a probability of 0.2.
Find answer lines 1 & 2)the expected profit for each & (answer line 3
which project should be selected.
Answer:
Project A : $58,000
Project B: $52800
Project A should be selected as it has a higher expected profit value than project B
Step-by-step explanation:
Given the following:
PROJECT A:
Profit : ---------50000--90,000--10,000
Probability: ----0.6-------0.3--------0.1
PROJECT B:
Loss of 20,000 = -20,000 in profit terms
Profit : -----100,000--64,000--(-20,000)
Probability: ----0.1-------0.7--------0.2
Expected profit:
Profit value * probability of profit
Expected profit on project A:
[(50000*0.6)+(90000*0.3)+(10000*0.1)
30000 + 27000 + 1000 = $58000
Expected profit on project B:
[(100000*0.1)+(64000*0.7)+(-20000*0.2)
10000 + 44800 - 4000 = $50800
Project A should be selected as it has a higher expected profit value than project B
In the distribution, the first quartile,median and mean are 30.8,48.5 and 42.0 respectively. If the co efficient skewness is -0.38, find the third quartile?
Answer:
The third quartile is 56.45
Step-by-step explanation:
The given parameters are;
The first quartile, Q₁ = 30.8
The median or second quartile, Q₂ = 48.5
The mean, \(\bar x\) = 42.0
Coefficient of skewness = -0.38
The Bowley's coefficient of skewness (SK) is given as follows;
\(SK = \dfrac{Q_3 + Q_1 - 2 \times Q_2}{Q_3 - Q_1}\)
Plugging in the values, we have;
\(-0.38 = \dfrac{Q_3 + 30.8 - 2 \times 48.5}{Q_3 - 30.8}\)
Which gives;
-0.38×(Q₃ - 30.8) = Q₃ + 30.8 - 2 × 48.5
11.704 - 0.38·Q₃ = Q₃ - 66.2
1.38·Q₃ = 11.704 + 66.2 = 77.904
Q₃ = 56.45
The third quartile = 56.45.
Every winter, your family sets up a hot chocolate stand near the local ice skating rink. You sell cups of hot chocolate for $1.50 each, and you usually ...
During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.
However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.
By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.
To learn more about profitability: -
brainly.com/question/29662354
#SPJ11
if your catering people and its $80 for 6-8 people how much would it be to cater 128 people
Answer:
Your answer(s) is $1,706.67, $1,462.86, or $1,280
Step-by-step explanation:
This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.
I'll list all three explanations and you can choose one.
6 people: 1,706.67 (rounded to nearest cent)
128 ÷ 6 = 21.33333333
21.33333333 × 80 = 1,706.67
7 people: 1,462.86 (rounded to nearest cent)
128 ÷ 7 = 18.28571428571429
18.28571428571429 × 80 = 1,462.86
8 people:
128 ÷ 8 = 16
16 × 80 = 1,280
A message digest is defined as him) - (m*7;2 MOD 7793. If the message m = 23, calculate the hash
The hash of the given message is 135.
In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.
Here, it is given the message m = 23
The formula to calculate hash is him) - (m*7;2 MOD 7793.
So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793
⇒ (8*23) - (49 MOD 7793)
⇒ 184 - 49= 135.
So, the hash of the given message is 135.
To know more about message digest, please click here:
https://brainly.com/question/6384456
#SPJ11
Find the perimeter of the figure to the nearest hundredth.
Answer:
61.68cm
Step-by-step explanation:
Perimeter of the semicircle = 2πr
r is the radius = 12/2 = 6cm
Perimeter of the semi circle = 2(3.14)(6)
Perimeter of the semi circle = 37.68cm
Adding the remaining sides of the polygon
Perimeter of the figure = 37.68+ 10 + 6 + 8
Perimeter of the figure = 61.68cm
Hence the perimeter of the figure is 61.68cm
Mike purchases a $22,000 car and plans to pay back the loan by making monthly payments over the course of 5 years. The interest rate is 3%. Compute Mike’s monthly payments using the amortization formula.
$383.09
$395.32
$427.91
$442.63
-2x -3=9 solve and explain
Answer:
-6
Step-by-step explanation:
-2x - 3 = 9
+ 3 +3
-2x = 12
/ -2 / -2
x = -6
Suppose a single die is rolled. find the probabilities. (enter the probabilities as fractions.) (a) 4, given that an odd number was rolled (b) 5, given that an odd number was rolled suppose a pair of dice are rolled. consider the sum of the numbers on the top of the dice and find the probabilities. (enter the probabilities as fractions.) (a) 7, given that the sum is odd (b) odd, given that a 7 was rolled (c) 7, given that at least one die came up 2
a) The probability of 6 is 1/3.
b) Probability of sum of an even numbers = 1/2.
c) Probability of getting a 2 on at least one dice = 11/36.
a) The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.
Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.
Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so.
Trial: To conduct a trial is to conduct a random experiment.
It is given to us that a die is rolled
Then, the sample space = {1,2,3,4,5,6}
We are given that it is an even number.
The, we have left with reduced sample space is {2,4,6}
Thus, the probability of 6 is 1/3.
b) So, the number of possibilities of the sum of even numbers is 18.
The probability of an event = number of favorable outcomes/ total number of outcomes.
Probability of sum of an even numbers = 18 / 36 = 1 / 2.
c) Probability of getting a 2 on at least one dice = Favorable outcomes / Total outcomes = 11 / 36 So, P (getting 2 at least on 1 dice) = 11/36.
To learn more about probability, click here:
brainly.com/question/11234923
#SPJ4
find the distance between (5,9) and (-7,-7)
Answer:
12, 14
Step-by-step explanation:
To find out a distance, you must find out how far numbers are, you can use a number line for this.
Use elimination to solve for x and y:
- 2x - y = 9
2x - 9y = 1
Answer:
x=-4, y=-1
Step-by-step explanation:
Given the following system of equations, solve the system using elimination.
\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)
(1) - Add the equations together
\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)
Notice how the x term was eliminated, hence the name for this method is "elimination."
(2) - Take the value we just found for y and plug it into either of the two equations and solve for x
\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)
(3) - Thus, the system is solved. When x=-4, y=-1.
The ratio of pennies: nickels is proportional to the ratio of nickels: dimes, and to the ratio of dimes: quarters. If you have one penny and two nickels, how much money do you have?
Answer:
11 cents
Step-by-step explanation:
1 penny = 1 cent
1 nickel = 5 cents
2×1 nickel = 10 cents
1 penny + two nickels
= 1 cent + 10 cents
= 11 cents
You don’t have to explain this just tell me the tight answer
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
Ricardo bought a jacket priced at $40. The total cost of the jacket, including sales tax, was $43. What was the sales tax rate to the nearest tenth of a percent?
1. Calculate the circumference of the circle to the right. Use 3.14 for at
34 cm
Circumference: Click to add text
Answer:
circumference of the circle=2πr
=2×3.14×17
=106.76cm
Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)
Check the picture below, so the circle looks more or less like that one.
well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill\)
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}\)
PLEASE HELP AND I WILL GIVE U A CHOCOLATE
Answer:
B is the answer
Step-by-step explanation:
(√(1.5³ * 1.5⁷))/1.5²
√ 1.5 ^(3+7) ÷ 1.5²
√1.5^10 ÷ 1.5²
1.5⁵ ÷ 1.5²
1.5^(5-2)
1.5³
Answer:
I think it is c I hope it helps have a good day
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20\%20%20, percent chance of winning each game and that Cam has a 50\%50%50, percent chance of winning each game.
Answer:
false
Step-by-step explanation:
Based on the information provided we can say that this is false. Since it is a board game and no actual information regarding each players position in the game has been presented, then each player has an equal chance of winning each game. Therefore since there is a total of 3 players the percent chance of winning each game for each player is 33% (100 / 3 = 33)
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite?
2ft 2ft crossbar
The length of crossbar that Sasha need to complete the kite is equal to √8 units.
How to determine the length of the crossbar?By critically observing the image of the kite shown below, we can logically deduce that the crossbar and the two (2) given lengths formed a right-angled triangle as illustrated by the right angle symbol between the two given sides.
In order to determined, we would have to apply Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Substituting the given parameters into Pythagorean's theorem, we have the following;
c² = a² + b²
c² = 2² + 2²
c² = 4 + 4
c = √8 units.
Read more on Pythagorean theorem here: https://brainly.com/question/21904630
#SPJ1
4. Compare your two distributions of the proportions of heads observed in your simulations 5. What should have happened
Comparing distributions and understanding the expected outcomes of a simulation can help ensure accuracy and reliability in statistical analysis.
To compare two distributions of the proportions of heads observed in your simulations, you can create histograms and compare their shapes, centers, and spreads. Ideally, the histograms should be roughly symmetric, with similar centers and spreads. Additionally, you can calculate summary statistics such as mean and standard deviation to further compare the two distributions.
What should have happened is that the two distributions should have been similar, as each coin has an equal probability of landing heads or tails. If the distributions are very different, it may suggest that the simulation was not run properly or that the coins were biased in some way.
To ensure accuracy in the simulation, it is recommended to run multiple trials with a large sample size to account for any chance variation. This will help ensure that the results accurately reflect the true probabilities of the coins landing heads or tails. Additionally, it may be helpful to physically examine the coins to ensure that they are not biased in any way that could affect the results.
To know more about statistical analysis visit:
https://brainly.com/question/30154483
#SPJ11
A rectangular prism has a height of 2/3 m and a square base with an area of of 4 4/5 * m ^ 2
The volume of the rectangular prism is 16/5 m³.
What is the Volume of a prism:The volume of a prism is the measure of how much space it occupies and is given by multiplying the area of the base by the height of the prism. So, the formula for the volume of a rectangular prism is:
Volume = Base Area x Height
Where Base Area is the area of the base of the prism and Height is the height of the prism.
Here we have
A rectangular prism has a height of 2/3 m
The square base with an area of 4 4/5 m² = 24/5 m²
To find the volume of the rectangular prism, we need to multiply its base area by its height.
So, the volume of the prism can be calculated as:
Volume = Base area x Height
= (24/5) m² x (2/3) m
= (24/5) x (2/3) m³
= 48/15 m³
= 16/5 m³
Therefore,
The volume of the rectangular prism is 16/5 m³.
Learn more about Volume of Prism at
https://brainly.com/question/31140290
#SPJ1
Complete Question
A rectangular prism has a height of 2/3 m and a square base with an area of 4 4/5 m². What is the volume of the prism?
Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold $7,500 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011? Last week, he made $ in commission.
EXPLANATION
Let's see the facts:
%Earns= 13% commission/week
Last week sold = $7,500
In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:
$Earns = 0.13 (decimal form)*$7,500
Earns = $975
Last week, he made $975 in commission.
If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year
Select from the drop-down menu to create a statistical question Darnay could ask his
friends in a survey.
How many
Choose...
1. minutes are in an hour?
2. days are in November?
3. sisters does Omar have?
4. brothers do you have?
Answer:
Its number 4 brothers do you have
Step-by-step explanation:
It was right on my test.
Answer:
Susan ask how many Push-ups can she do.
I did the quiz, above me is wrong. Select from the drop-down menu to create a statistical question Susan could ask her friends in a survey.
I really would like some help with this I have been thinking about it but I just can't seem to get it right. so would really like to have some help please and thank you.
Answer:
ofc! :D
Step-by-step explanation:
i- x represents the input
ii- y represents the output
iii- yes, the input (x) is 4 times greater than the output (y)
b just plot them like normal on a coordinate grid :D
8x+4x=0 how many solutions does it have
Answer:
1, in which x = 0.
Step-by-step explanation:
First, combine 8x and 4x to get 12x.
Now, we have 12x = 0.
We know that if the product of two numbers is equal to 0, at least one of them must be 0.
12 is not equal to 0, so x must be equal to 0.
Therefore, x = 0, and that is the only solution.
Answer:
1 solution
Step-by-step explanation:
add like terms
12x=0
divide both sides by 12
x=0
Find the radius of convergence R of the series. [infinity] n bn (x − a)n, b > 0 n = 1
R= ____
Find the interval of convergence of the series.
The radius of convergence R = 1/b
The radius of convergence for a power series is given by the formula:
1/R = lim sup |bn|^(1/n)
In this case, the radius of convergence is given by:
1/R = lim sup |bn|^(1/n) = lim sup b^(1/n) = b^(1/n) as b > 0.
So R = 1/b
As for the interval of convergence, it is the set of values of x for which the series converges. The series converges when |x-a| < R, and diverges when |x-a| > R. So the interval of convergence is (a-R, a+R) which is (a-1/b, a+1/b)
To learn more about convergent series visit: brainly.com/question/15415793
#SPJ4
Divide. 3/5 divided by 4
Answer:
3/20
Step-by-step explanation:
-
Answer:
0.15
Step-by-step explanation:
Find the value of x in the triangle shown below.
9
8
Choose 1 answer:
8
Answer:
C; \(x=\sqrt{17}\)
Step-by-step explanation:
To find the missing length of a right triangle, we can use the Pythagorean Theorem. This theorem states that \(a^{2}+b^{2}=c^2\), where a and b are the legs of a right triangle and c is the hypotenuse. In our problem, we are solving for one of the legs. In this problem we'll say that a=8 and b=x while c=9. Now, let's solve for x.
\(a^{2}+b^{2}=c^2\)
a=8
b=x
c=9
\(8^2+x^2=9^2\\64+x^2=81\\x^2=17\\x=\sqrt{17}\)
So, our answer must be C.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
PL PLZ HELP 50+ POINTS PLZ ACTUALLY 100+ POINTS IF YOU HELP!!!!!!! ALSO, BRAINLIEST FOR THE BEST ANSWERS FOR ALL OF THEM!!!!
Answer:
do a unicorn or maybe a jsut a big star or even do the big dipper its a easy constellation
Step-by-step explanation:
Introduction to Probability
Please show all work
Suppose you are taking an exam that only includes multiple choice questions. Each question has four possible choices and only one of them is correct answer per question. Questions are not related to the material you know, so you guess the answer randomly in the order of questions written and independently. The probability that you will answer at most one correct answer among five questions is
The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.
To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.
For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.
For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.
To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:
Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.
Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11