A shop is selling four bars of soap for $10 how much will it cost for 12 bars of soap

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.

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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)

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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

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.

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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

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)

Answer:

-6

Step-by-step explanation:

-2x - 3 = 9

     + 3     +3

-2x = 12

/ -2     / -2

x = -6

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

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.

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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.

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

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:

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.

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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

Answer:

3/20

Step-by-step explanation:

-

Answer:

0.15

Step-by-step explanation:

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.

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The length of crossbar that Sasha need to complete the kite is equal to √8 units.

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.

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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.

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

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.

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}\)

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

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

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.

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Have a GREAT day!!!

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

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.

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.

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

The volume of the rectangular prism is 16/5 m³.

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.

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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?