The following frequency table summarizes the total amounts, in dollars, for 91 orders from a food truck during a certain day.
(a-i) Use the data in the table to create a histogram showing the distribution of the amounts of the orders.
(a-ii) Describe the shape of the distribution of amounts.
(b) Identify a possible amount for the median of the distribution. Justify your answer.

If wendy can build a fort in 12 hours, al can build the same fort in 8 hours, the time taken by Wendy and Al working together to build the fort is 24/5 hours

To solve this problem, we need to use the concept of work and time. Let's assume that the fort is the unit of work that needs to be completed, and the time required to complete this unit of work is the time taken by Wendy and Al working together.

Let's denote the time taken by Wendy to build the fort as TW and the time taken by Al to build the fort as TA. From the problem, we know that TW = 12 hours and TA = 8 hours.

Let's also denote the time taken by Wendy and Al working together to build the fort as T. We can use the formula:

Work = Rate x Time

where the rate is the amount of work done per unit time.

Let's assume that Wendy's rate of work is RW, and Al's rate of work is RA. Then the rate of work of both of them working together is the sum of their individual rates of work:

RW + RA = 1/T

We can also express their individual rates of work as the inverse of the time taken by them to complete the work:

RW = 1/TW

RA = 1/TA

Substituting these values in the above equation, we get:

1/TW + 1/TA = 1/T

Substituting the given values of TW and TA, we get:

1/12 + 1/8 = 1/T

Simplifying this equation, we get:

5/24 = 1/T

T = 24/5 hours

In other words, it would take them 4 and 4/5 hours to complete the work if they worked together.

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Answer:

y = 5/6; x = -2

Step-by-step explanation:

Method for solving the system of equations:  The first equation is already arranged in a way that allows us to substitute it for x in the second equation, allowing us first to solve for y:

Step 1:  Plug in x = 6y - 7 for x in the second equation, x + 6y = 3 to solve for y:

(6y - 7) + 6y = 3

12y - 7 = 3

12y = 10

y = 5/6

Step 2:  Now we can plug in 5/6 for y in either of the two equations in our system to solve for x.  Let's use the first equation:

Plugging in 5/6 for y in x = 6y - 7:

x = 6(5/6) - 7

x = 5 - 7

x = -2

Thus, y = 5/6 and x = -2

Optional Step 3:  We can check that our answers are correct by plugging in 5/6 for y and -2 for x in both equations and seeing if we get the same value on both sides of the two equations:

Plugging in 5/6 for y and -2 for x in x = 6y - 7 (i.e., the first equation):

-2 = 6(5/6) - 7

-2 = 5 - 7

-2 = -2

Plugging in 5/6 for y and -2 for x in x + 6y = 3 (i.e., the second equation):

-2 + 6(5/6) = 3

-2 + 5 = 3

3 = 3

Given:

The above series is an arithemetic series.

The first term of the series is: a=2

The second term of the series is: b=10

The common difference of the series is,

The expression to calculate the n th term of the series is,

Substitute n=13 in the above expression to calculate the 13 th term.

Thus, the 13th term of the sequence is 98.

In an independent-measures design experiment with two treatment conditions and 22 scores in each condition, a total of 44 subjects participated in the experiment.

To determine the number of subjects who participated in the experiment with an independent-measures design and 22 scores in each treatment condition, you simply need to add the number of scores in each condition together.

A researcher conducts an experiment comparing two treatment conditions with 22 scores in each treatment condition. If the researcher used an independent-measures design, how many subjects participated in the experiment are as follows:

Step 1: Identify the number of scores in each treatment condition.
There are 22 scores in each of the two treatment conditions.

Step 2: Add the number of scores in both treatment conditions together.
22 scores (from treatment condition 1) + 22 scores (from treatment condition 2) = 44 scores

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Answer:

8 mph

Step-by-step explanation:

The equation for average speed is:

\(average\ speed=\frac{total\ distance}{total\ time}\)

Let's start by finding the distance for each animal:

\(d=st\\d=3h*10\frac{m}{h}\\d=30m\)

\(d=st\\d=1h*2\frac{m}{h}\\d=2m\)

Now, we can find the average speed:

\(average \ speed=\frac{30mi+2mi}{3hr+1hr}=\frac{32mi}{4hr}=8\frac{mi}{h}\)

8 mph

Answer:

8 mph

Step-by-step explanation:

rsm

Answer:is that subtraction?

Step-by-step explanation:

Base, Exempt. The source from which property tax revenue can be obtained is the value of the total tax base less the value of property that is exempt from property taxes.

Property tax is a tax on the value of real estate or other property. The tax base for property tax is the total value of all taxable property in a jurisdiction, such as a city or county. This tax base is used to calculate the amount of property tax revenue that can be collected.

However, not all property is subject to property tax. Some types of property may be exempt from property taxes, such as government-owned property, religious properties, or properties used for charitable purposes. The value of exempt property is subtracted from the total tax base to determine the taxable value of property, which is then used to calculate the amount of property tax revenue that can be obtained.

Therefore, the source from which property tax revenue can be obtained is the value of the total tax base less the value of property that is exempt from property taxes.

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Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

Answer:

Step-by-step explanation:

25, i think

The volume of the right cone is 384π cm³ (option A).

A cone is a three-dimensional object that narrows smoothly from a circular base to a apex or vertex. A cone is a pyrmaid with a circular cross section.

The volume of an object measures the amount of space in the object.

Volume of a cone = 1/3(πr²h)

Where:

Volume of a cone = 1/3(π x 8 x 12²) = 384π cm³

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Answer: She has 21 lira coins.

Step-by-step explanation:

Given, Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins.

Let x = the number of lira coins.

y= the number of drachma coins.

z= the number of peseta coins.

Then, as per given, we have

x+y+z=83   (i)

x+y=53   (ii)

x+z=51   (iii)

From (ii) and (iii)

y=53-x

z=51-x

Put these values in (i) , we get

x+(53-x)+(51-x)=83

⇒ x+53-x+51-x=83

⇒ 104-x=83

⇒104-83=x

⇒x= 21

Hence, she has 21 lira coins.

It is important to continue to promote the use of smoke detectors in homes to further reduce the number of deaths and injuries caused by fires.

Over the past years, the percentage of homes in the United States with smoke detectors has risen steadily, leading to increased safety and protection against fires. As a result of this increase in home smoke detector usage, the death rate from home fires has decreased significantly. The data in the file smoke detectors shows a clear correlation between the higher adoption of smoke detectors and the reduced number of home fire deaths per million of population. The National Fire Protection Association's findings support this trend, emphasizing the importance of having smoke detectors in homes to prevent fire-related casualties. This is because smoke detectors can detect fires early, giving people more time to evacuate and decreasing the chances of injury or death.

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Answer:

To calculate the net profit for each of the listed stocks, you can use the formula:

Net Profit = (Current Price - Purchase Price) * Number of Shares

Assuming you invested $500 in each stock 5 years ago, the purchase prices would be as follows:

Chipotle: $649.85 (based on the current price of $1,708.29)

Nike: $71.45 (based on the current price of $122.64)

Amazon: $45.60 (based on the current price of $103.29)

Snap Inc.: $15.49 (based on the current price of $11.21)

To calculate the number of shares you would have purchased at the time, you would divide $500 by the purchase price. For example, for Chipotle:

Number of Shares = $500 / $649.85 = 0.769 shares

Using this formula, the net profit for each stock would be:

Chipotle: (1,708.29 - 649.85) * 0.769 = $764.28

Nike: (122.64 - 71.45) * 7.006 = $359.62

Amazon: (103.29 - 45.60) * 10.920 = $630.58

Snap Inc.: (11.21 - 15.49) * 32.281 = -$137.31 (assuming you bought fractional shares)

Therefore, your total net profit would be $1,616.17.

Note that this calculation does not take into account any transaction fees or taxes that may be incurred in buying and selling the stocks.

I made a long explanation because you wanted me to explain step by step.

For Nike:

1.5 years ago the stock was at 63.59 USD, so buying $500 of Nike stock would give me 7.85 stocks (Purchase amount/stock price) or (500/63.59:7.85).

Stock is now valued at $122.64 USD, so I own $963.78 in stock (Stock price x Stock owned) or (7.85 X 122.64 = $963.78).

Net profit is $463.78 (Total of current owned stock - initial investment) or ($963.78 - $500 = $463.78).

For Amazon:

1.5 years ago the stock was at $1,765.13 USD, so buying $500 of Amazon stock would give me 0.283 stocks (Purchase amount/stock price) or (500/1,765.13:0.283).

Stock is now valued at $3,369.19 USD, so I own $953.63 in stock (Stock price x Stock owned) or (0.283 X 3,369.19 = $953.63).

Net profit is $453.63 (Total of current owned stock - initial investment) or ($953.63 - $500 = $453.63).

For Snap Inc.:

1.5 years ago the stock was at $17.46 USD, so buying $500 of Snap Inc. stock would give me 28.63 stocks (Purchase amount/stock price) or (500/17.46:28.63).

Stock is now valued at $11.21 USD, so I own $321.36 in stock (Stock price x Stock owned) or (28.63 X 11.21 = $321.36).

Net loss is $178.64 (Total of current owned stock - initial investment) or ($321.36 - $500 = -$178.64).

Based on the net profit, Chipotle and Amazon have performed well over the past 5 years, with net profits of $1,230.51 and $453.63 respectively. Nike has also performed well with a net profit of $463.78. However, Snap Inc. has decreased in price over the past 5 years and resulted in a net loss of $178.64.

To find the probability that a participant selected at random found the products favorable, we can calculate the weighted average of the favorable responses from both the industry-sponsored and non-industry-funded studies.

For the industry-sponsored studies, 65% of participants found the products favorable, and for the non-industry-funded studies, 47% found the products favorable. Since there were 65 industry-sponsored studies and 35 non-industry-funded studies, the overall probability is:

(65/100) * 0.65 + (35/100) * 0.47 = 0.4225 + 0.1645 = 0.587 or 58.7%

If a randomly selected participant found the product favorable, we can use Bayes' theorem to calculate the probability that the study was sponsored by the food industry given this favorable response. The calculation is:

P(Industry-sponsored | Favorable) = (P(Favorable | Industry-sponsored) * P(Industry-sponsored)) / P(Favorable)

P(Favorable | Industry-sponsored) = 0.65

P(Industry-sponsored) = 65/100

P(Favorable) = 0.587

P(Industry-sponsored | Favorable) = (0.65 * (65/100)) / 0.587 ≈ 0.719 or 71.9%

Similarly, if a randomly selected participant found the product unfavorable, we can use Bayes' theorem to calculate the probability that the study had no industry funding given this unfavorable response. The calculation is:

P(No industry funding | Unfavorable) = (P(Unfavorable | No industry funding) * P(No industry funding)) / P(Unfavorable)

P(Unfavorable | No industry funding) = 0.36

P(No industry funding) = 35/100

P(Unfavorable) = 1 - P(Favorable) = 1 - 0.587 = 0.413

P(No industry funding | Unfavorable) = (0.36 * (35/100)) / 0.413 ≈ 0.305 or 30.5%

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Answer: The answer is the option A.

x=(5±)/4

Step-by-step explanation: The quadratic formula has the following form for a quadratic equation ax²+bx+c:

x=(-b±))/(2a)

We apply the quadratic formula and we obtain:

x=(-(-5)±))/(2(2))

x=(-(-5)±))/(4)

x=(-(-5)±))/(4)

At the 95% confidence level, the margin of error for the mean is 17.

To find the margin of error for the mean at the 95% confidence level, we need to use the formula:

Margin of Error = Critical Value * (Standard Deviation / Square Root of Sample Size)

First, let's find the critical value associated with a 95% confidence level. For a large sample size (n > 30), we can use the Z-table. At the 95% confidence level, the critical value is approximately 1.96.

Next, we substitute the given values into the formula:

Margin of Error = 1.96 * (68 / √63)

To calculate the square root of 63, we get approximately 7.937.

Margin of Error ≈ 1.96 * (68 / 7.937)

Evaluating the expression inside the parentheses, we have:

Margin of Error ≈ 1.96 * 8.58

Finally, multiplying 1.96 by 8.58 gives us approximately 16.8.

Therefore, at the 95% confidence level, the margin of error for the mean number of text messages sent per day is approximately 17 (rounded to the nearest whole number). This means that the estimated mean of 158 messages could be off by about 17 messages in either direction.

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Let's say the new crew of painters can paint the small apartment in x hours, and the experienced crew can paint the small apartment in y hours. Let the time taken by the new crew of painters to paint the small apartment be N hours, and the time taken by the experienced crew be E hours.

We are supposed to find the time it takes for both crews to paint the apartment together.

Step 1: Find the work rate of each crew.
The new crew's work rate is 1/N (apartments painted per hour).
The experienced crew's work rate is 1/E (apartments painted per hour).

Step 2: Calculate the combined work rate of both crews.
Combined work rate = New crew's work rate + Experienced crew's work rate
Combined work rate = (1/N) + (1/E)

Step 3: Find the time it takes for both crews to paint the apartment together.
Let T be the time it takes for both crews to paint the apartment together. Their combined work rate can be expressed as the reciprocal of T.

1/T = (1/N) + (1/E)

Step 4: Solve for T.
T = 1 / [(1/N) + (1/E)]

So, it takes T hours to paint the apartment when the two crews work together. Once you know the specific values of N and E, you can plug them into the equation and solve for T to find the solution.

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\(\\ \sf\longmapsto (2^a\times 3^{2b})^5=6^{20}\)

\(\\ \sf\longmapsto 2^{5a}\times 3^{10b}=(2\times 3)^{20}\)

\(\\ \sf\longmapsto 2^{5a}\times 3^{10b}=2^{20}\times 3^{20}\)

On comparing

\(\\ \sf\longmapsto 5a=20\)

\(\\ \sf\longmapsto a=\dfrac{20}{5}=4\)

And

\(\\ \sf\longmapsto 10b=20\)

\(\\ \sf\longmapsto b=\dfrac{20}{10}=2\)

If the height of the card is 2.5 cm., the height of the actual card that Monica is purchasing is 3.75 inches.

Since the scale of the drawing is 1 cm: 1.5 in, we can use this proportion to find the actual height of the card.

Let h be the height of the actual card in inches. Then, we can set up the proportion:

1 cm / 1.5 in = 2.5 cm / h

Cross-multiplying, we get:

1 cm * h = 1.5 in * 2.5 cm

Simplifying, we get:

h = (1.5 in * 2.5 cm) / 1 cm

h = 3.75 inches

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Complete question is:

Monica is looking at a catalog to find thank you cards. In the scale drawing of the one she likes, 1 centimeter represents 1.5 inches. The height of the card in the scale drawing is shown below.

What is the height of the actual card she is purchasing?

Answer:

At 5 weeks, mark and Gloria had the same amount of money of 20 dollars.

Step-by-step explanation:

your answer will be 5 weeks

have a nice day/night !!

Answer:

If you are trying to find the value of x here it is.

x=1/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 9 from both sides.

Step 3: Divide both sides by 9.

And you end up getting 1/3.

Hope this helped :)

Answer:

x = 1/3

Step-by-step explanation:

First, you have to combine like terms so 10x -x is 9x. Now we have a new equation.

9x + 9 = 12

We're going to have to solve for the digits without variables like so,

9x + 9 = 12

    -9    -9  

9x = 3

All we've got left here is to isolate the variable and to do that you divide both sides by 9.

x = 3/9 and 3/9 is the same as 1/3

Hope this helps and have a great day!

Step-by-step explanation:

that is not clearly defined.

what does "bigger circle" mean ? bigger area or bigger radius or diameter ? or even bigger circumference ?

I assume we mean here that the area is 4 times bigger.

then the area of P is

A of P = 4×412 = 1648

the perimeter (= circumference) of a circle is

C = 2×pi×r

with r being the radius.

the area of a circle is

A = pi×r²

since we have the area of the circle, we have to calculate backwards to find r, so that we can calculate the circumference :

1648 = pi×r²

r² = 1648/pi

r = sqrt(1648/pi) = sqrt(16×103/pi) = 4×sqrt(103/pi) =

= 22.90359562...

the circumference of P

C = 2×pi×r = 143.9075355...

The surface area of the cylinder will be;

⇒ 3.14r ( 1 + h )

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The surface area of a cylinder = πr + πrh

Now,

The surface area of a cylinder = πr + πrh

Substitute π = 3.14 in above equation, we get;

The surface area of a cylinder = πr + πrh

The surface area of a cylinder = π ( r + rh )

The surface area of a cylinder = πr (1 + h)

The surface area of a cylinder = 3.14r ( 1 + h )

Thus, The surface area of a cylinder = 3.14r ( 1 + h )

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The given sequence is 9, 16, 24, 33. To find the next number, let's look for a pattern in the differences between the terms.

The difference between 16 and 9 is 7, between 24 and 16 is 8, and between 33 and 24 is 9.

The pattern in the differences is that they are increasing by 1 each time. So, the next difference would be 10.

To find the next number, we add the next difference to the last term in the sequence. Adding 10 to 33 gives us 43.

Therefore, the next number in the sequence is 43.

To find the next number in the given sequence, we looked for a pattern in the differences between the terms. We observed that the differences were increasing by 1 each time. Using this pattern, we added the next difference to the last term in the sequence to find the next number.

The next number in the sequence 9, 16, 24, 33 is 43.

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Answer:

acute angle

Step-by-step explanation:

The acute angle is the angle that has an amplitude of less than 90°. The obtuse angle, on the other hand, has a width greater than 90°. The right angle measures 90° and its sides are orthogonal.

Answer:

an angle less than 90° is an acute angle

Step-by-step explanation:

an angle less than 90° is an acute angle

an angle equal to 90° is a right angle

an angle greater than 90° but less than 180° is an obtuse angle

an angle greater than 180° is a reflex angle

The cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.

A car averages 32 mpg and gas costs $1.97 per gallon.

By unitary method for 866 miles, average would be,

= 866/32

= 27.0625 miles per gallon

and the cost to pay for the gas if this car made a trip of 866 miles would be,

= 27.0625 × $1.97

= $53.31

Therefore, the cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.

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Answer:

B is the correct answer (Check the explanation below)

Step-by-step explanation:

Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)

Probability of boys who do not play =858/2451 = 0.35 or 35%

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%

Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%

Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%

you can see the correct statement is

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

total number of girls is 2996 and we found out almost 54% do not play and almost 45% play

Answer here you go

Step-by-step explanation:

(-3 x 6 = -18)

6 x -18= -108

multiplication with postive and gegitives rule of thumb

negative times a positive equals a negative

negitive times a negative equals a positive

Answer:

The sample included only those people who chose to complete the survey.

Step-by-step explanation: