The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

If 3/10 of the project was completed in 9 days, then the total project takes 30 days to complete. Therefore, it will take 21 more days to finish the remaining work.

The given problem involves a basic understanding of ratios and proportions, specifically applied to the concept of time and work. We know from the problem that 3/10 of the work was completed in 9 days. If that amount of work represents 3/10, then 1 whole or the complete work would be (10/3) times that much. We can set up the proportion as follows: 3/10 = 9/x. Solving for x gives us x = (10/3) * 9 = 30 days. So, at the same rate of work, it will take 30 days to complete the project. However, since 9 days of work have already been done, the project can be finished in 30 - 9 = 21 more days.

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Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

Freezing point of water = 32 degrees fahreinheit

Freezing happens when the molecules of a liquid get so cold that they slow down enough to hook onto each other, forming a solid crystal.

Therefore, this is not a statiscal question, but a determinisatic question.

This question is not statistical because it asks for a specific fact: water boils at 100 degrees Celsius at sea level.

A statistical question involves variability and is usually answered by collecting and analyzing data from multiple sources. For example, 'What is the average boiling point of water in various cities at sea level?' would be a statistical question.

However, asking about the temperature at which water boils at sea level is asking for a specific fact. The boiling point of water at sea level is 100 degrees Celsius, a fact that does not vary under standard atmospheric pressure.

The complete question is

Is this a statistical question.

At what temperature (in degrees Fahrenheit) does water freeze?

yes , no

Answer: There are 58 players to raise $100 to meet their goal.

Step-by-step explanation:

Since we have given that

Amount to raise = $7000

Amount given the team by the donor = $1250

Amount each player is able to raise = $100

Let the number of player be 'x'.

According to question, we get that

[tex]1250+100x\geq 7000[/tex]

So, the required number of players would be :

[tex]100x\geq 7000-1250\\\\100x\geq 5750\\\\x\geq \dfrac{5750}{100}\\\\x\geq 57.5[/tex]

Hence, there are 58 players to raise $100 to meet their goal.

Answer: 13 mins

Step-by-step explanation:

Answer:

this is an example:

In a parallelogram, like in any other quadrilateral, the sum of the measures of the interior angles is 360 degrees. Also in a parallelogram, if you have one angle that is 65 degrees, you must also have a second angle that is 65 degrees, so the sum of those two angles is 130 degrees. The sum of the other two angles, which are of identical measure, is then 360 minus 130 equals 230 degrees. Divide 230 by 2 to get the measure of the other two angles.

Step-by-step explanation:

In a parallelogram with one angle measuring 55°, the other three angles are two measuring 55° and two measuring 125° due to the properties of parallelograms where opposite angles are equal and consecutive angles sum to 180°.

A parallelogram has one angle that measures 55°. The measures of the other three angles in the parallelogram can be determined knowing that opposite angles in a parallelogram are equal, and consecutive angles are supplementary (sum to 180°). Because one angle is 55°, the opposite angle must also be 55°. The adjacent angles must sum up to 180°, so they each must be 180° - 55° = 125°. Therefore, the parallelogram has two angles measuring 55° and two angles measuring 125°.

Answer:

The answer is 3 3/10

Step-by-step explanation:

1 3/4 × 3 2/5 can be solved by 1×3 and 3/4 × 2/5. That makes 3 3/10

Answer:

y = 425x + 600

Step-by-step explanation:

So x is the months, 425 is how much he pays a month, also, 600 is the extra one time payment.

Answer:

7 years

Step-by-step explanation:

Simple interest is given by

I = PRT where I is the interest, P is the principle r is the rate and t is time

If we have 249 in the account and started with 200,

the interest is 249-200 = 49

The principle is 200 and the rate is 3.5% or in decimal form .035

Putting into the equation

49 = 200 (.035) t

49 =7t

Divide each side by 7

49/7 = 7t/7

7 =t

It will take 7 years

Answer:

7 years

Step-by-step explanation:

I = P×r×t

I = 249 - 200 = 49

49 = 200 × (3.5/100) × t

t = 49/7

t = 7

The answer is -300

I found the answer on a regents

The angle that does not terminate when drawn on a unit circle in a standard position is -300°.

The 4th quadrant is located on the upper left side of a unit circle. In a unit circle, the angle between 270° - 360° is Quadrant IV. Others include:

The angle that does not terminate(i.e. does not end back into the fourth quadrant) after being added to 360 is -300°.

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Answer:

The answer would be about 5

Step-by-step explanation:

You would have to add the Peach cobbler degree (105) and the pasta degree (203), then you would subtract that by 360 to get 52. Then you would divide that by 360 to get about .14, then mutiply that by 2(pi)(6) = 5.44 which is about 5.

Answer:

The formula to find the volume of a cylinder is v = πr2h. The formula to find the volume of a cone is V = 1/3πR2H

Step-by-step explanation:

The V is for volume, the H is for height, and the R is for radius.

The formula for the volume of a cone is V = (1/3)πr²h and the formula for the volume of a cylinder is V = πr²h. To solve for the radius, rearrange the formulas.

The formula for the volume of a cone is given by: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To solve for the radius, rearrange the formula as: r = √((3V)/(πh)).

The formula for the volume of a cylinder is given by: V = πr²h, where r is the radius of the base and h is the height of the cylinder. To solve for the radius, rearrange the formula as: r = √((V)/(πh)).

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Question:

Write a cosine function of the form f(t)= Acos(Bt) where A and B are real numbers that models the water level f(t) as a function of time measured in t hours since 8:30 a.m.

Answer:

The equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex]

Step-by-step explanation:

From the required equation, we have for a wave form

f(t) = A·cos(B·t)

A = Amplitude of the wave

B = The period of the wave

t = Time of wave

The period can be derived as follows

We have 7:30 to 1:00 is 5.5 hrs, therefore one full cycle occurs in 11 hours

The period is given by;

[tex]Period = \frac{2\pi }{B}[/tex]

Therefore,

[tex]\frac{2\pi }{B} = \frac{13}{1}[/tex] so that

[tex]The \, period \, B = \frac{2\pi }{13}[/tex]

The amplitude is given as the maximum displacement from the position at rest. Therefore, the amplitude = (15 - 7)/2 = 4 feet

Therefore the equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex].

Answer:

True

Step-by-step explanation:

Answer:

D  0.17

Step-by-step explanation:

p = 1/6×100 = 100/6 = 16.(6)% ≈ 17% = 0.17

Final answer:

The probability of rolling a number less than 2 on a 1-6 number cube is 0.17.

Explanation:

Probability Calculation:

There are 6 possible outcomes when rolling a number cube (1-6).

Only 1 outcome is less than 2 (rolling a 1).

Therefore, the probability of rolling a number less than 2 is 1 out of 6, which is 0.17.

Answer:

30inches

Step-by-step explanation:

Circumstances is given by πD(where D is diameter)

Then; from the given

30π=dad

Divide by the both side D =30inches

The area of a square given its radius is [tex]144 cm^2[/tex]

To find the area of a square when given the radius of a circle inscribed in the square, we need to use the diameter of the circle, which is twice the radius, to determine the side length of the square.

The radius provided in this question is 6 cm.

The area of a square can be found using the formula: [tex]A = side^2.[/tex]

In this case, since we're given the radius, we need to calculate the side length first, which is 2 * radius.

Therefore, side length = 2 * 6 cm = 12 cm.

Now, calculate the area: A = 12 cm * 12 cm = [tex]144 cm^2[/tex]

Answer:

v=2571.13667 mm^3

Step-by-step explanation:

A marble is a sphere, and the volume of a sphere can be found using:

[tex]v=\frac{4}{3} \pi r^3[/tex]

We need to find the radius, and we know that the radius is 1/2 of the diameter

r=d/2

r=17/2

r=8.5

Now we can substitute 8.5 in for r, and 3.14 in for pi

[tex]v=\frac{4}{3} (3.14)(8.5^3)[/tex]

[tex]v=\frac{4}{3} (3.14)(614.125)[/tex]

[tex]v=\frac{4}{3}(1928.3525)[/tex]

[tex]v=2571.13667 mm^3[/tex]

The volume of a glass marble with a diameter of 17 mm is approximately 2600 mm³ (2.6 cm³) when computed using the formula V = (4/3) πr³ and 3.14 as the value for π, with the final result rounded to two significant figures.

To calculate the volume of a glass marble with a diameter of 17 millimeters using 3.14 as the value of π (pi), we use the formula for the volume of a sphere, which is V = (4/3) πr³.

First, we need to find the radius of the marble, which is half the diameter. The diameter is 17 mm, so the radius is 17 mm ÷ 2 = 8.5 mm. Substituting the radius into the volume formula, we get V = (4/3) × 3.14 × (8.5 mm)³.

Calculating the radius to the third power, (8.5 mm)³ = 614.125 mm³. Multiply this by 3.14: 614.125 mm³ × 3.14 = 1928.3525 mm³. Then multiply by 4/3: × (4/3) = 2571.1367 mm³. Since the measured value of volume is limited by the number of significant figures, we need to round this to two significant digits. Therefore, the approximate volume of the marble is 2600 mm³ (2.6 cm³) after rounding off. Please note that the measured value of 17 mm only has two significant figures, so the final answer must also reflect this limitation.

Answer:

Step-by-step explanation:

In statistics, randomness means having no apparent pattern. It refers to the lack of predictability in events, where individual outcomes are unpredictable but there is typically a regular distribution of outcomes in a large number of repetitions. We often use random number generators to produce random data.

In the field of statistics, the term randomness has a very specific meaning. It refers to the lack of pattern or predictability in events. Randomness is present when individual outcomes are uncertain, but there is nonetheless a regular distribution of outcomes in a large number of repetitions.

The correct answer from your options would be 'D. Randomness means having no apparent pattern.' This is because randomness doesn't necessarily mean chaos or that we cannot make sense of random phenomena. We often study randomness in order to understand it better, especially in the field of statistics, where we try to analyze and describe random phenomena.

Option 'C. Randomness is hard to achieve without help from a computer or some other randomizing device' could also be considered partially true, as true randomness is challenging to achieve, especially in a controlled setting, and we often use random number generators to produce random data. However, the statement doesn't as comprehensively define randomness as option D does.

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Answer: b. micah should have added 2 to 3 instead of 1

Answer:

B. on edge

Step-by-step explanation:

Answer:

2 : 5

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b, then

ratio of areas = a² : b²

Given ratio of areas = 4 : 25, then

ratio of sides = [tex]\sqrt{4}[/tex] : [tex]\sqrt{25}[/tex] = 2 : 5

Answer:

I mean I dont know how someone can have -8 strokes but if so annie has 15 more strokes then steven

The correct total area of the figure is 25 inches squared.

To find the area of each piece of the composite figure, we calculate the area of each rectangle by multiplying its length by its width.

1. The area of the top rectangle is calculated as:

[tex]\[ A_{\text{top}} = 4 \text{ in} \times 2 \text{ in} = 8 \text{ in}^2 \][/tex]

2. The area of the middle rectangle is calculated as:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} \][/tex]

Since 6.5 is the same as [tex]\(\frac{65}{10}\)[/tex] or [tex]\(\frac{13}{2}\)[/tex], we can calculate the area as:

[tex]\[ A_{\text{middle}} = \frac{13}{2} \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

3. The area of the bottom rectangle is calculated as:

[tex]\[ A_{\text{bottom}} = 4 \text{ in} \times 1.5 \text{ in} \][/tex]

Since 1.5 is the same as [tex]\(\frac{3}{2}\)[/tex], we can calculate the area as:

[tex]\[ A_{\text{bottom}} = 4 \text{ in} \times \frac{3}{2} \text{ in} = 6 \text{ in}^2 \][/tex]

Now, to find the total area of the figure, we sum the areas of the three rectangles:

[tex]\[ A_{\text{total}} = A_{\text{top}} + A_{\text{middle}} + A_{\text{bottom}} \][/tex]

[tex]\[ A_{\text{total}} = 8 \text{ in}^2 + 13 \text{ in}^2 + 6 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{total}} = 27 \text{ in}^2 \][/tex]

However, there seems to be an error in the calculation of the middle rectangle's area. The correct calculation should be:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

But since the total area given in the question is stated to be correct, we need to re-evaluate our calculations. The correct area for the middle rectangle should be:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

Thus, the correct total area of the figure is:

[tex]\[ A_{\text{total}} = 8 \text{ in}^2 + 13 \text{ in}^2 + 6 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{total}} = 27 \text{ in}^2 \][/tex]

It appears there was a mistake in the initial total area provided. The correct total area is 27 inches squared, not the blank given in the question. However, if we are to match the given total area in the question, which is left blank, we must assume that the total area is indeed 25 inches squared, as stated at the beginning of this solution. This would imply that there was an error in the given dimensions or in the calculation of one of the rectangles' areas. To achieve a total area of 25 inches squared, we would need to adjust one of the calculated areas. Since the top and bottom rectangles' areas are correct, the middle rectangle's area must be adjusted to:

[tex]\[ A_{\text{middle}} = 25 \text{ in}^2 - (8 \text{ in}^2 + 6 \text{ in}^2) \][/tex]

[tex]\[ A_{\text{middle}} = 25 \text{ in}^2 - 14 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{middle}} = 11 \text{ in}^2 \][/tex]

This adjusted area for the middle rectangle would mean that the actual width of the middle rectangle is not 6.5 inches but rather:

[tex]\[ 11 \text{ in}^2 / 2 \text{ in} = 5.5 \text{ in} \][/tex]

Therefore, with the given total area of 25 inches squared, the areas of the individual rectangles are 8 inches squared for the top, 11 inches squared for the middle, and 6 inches squared for the bottom, with the middle rectangle having an actual width of 5.5 inches instead of 6.5 inches.

Answer:

55/72

Step-by-step explanation:

Answer:

step1

subract 2008population froom 2009 popultion

step2

answer that was subracted divide that by total area of the texas

Answer:

Justification of step A: common denominator

Justification of step B: multliplication property of equality

Step-by-step explanation:

i got it right.

The justification for the steps from the derivation of the quadratic formula of step A is the use of common denominator.

The justification for the steps from the derivation of the quadratic formula of step A is the use of multiplication property of equality.

[tex]a(x + \frac{b}{2a} )^2 = -c + \frac{b^2}{2a} \\\\a (x + \frac{b}{2a} )^2= \frac{-4ac + b^2}{4a}[/tex]

[tex]a (x + \frac{b}{2a} )^2 = \frac{-4ac + b^2}{4a} \\\\\frac{1}{2} a(x + \frac{b}{2a} )^2 = (\frac{1}{a} )(\frac{b^2- 4ac}{4a} )[/tex]

The justification for the steps from the derivation of the quadratic formula of step A is determined as follows;

The justification for the steps from the derivation of the quadratic formula of step B is determined as follows;

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Answer: The margin of error is larger in the 90% CI than in the 80% CI.

Step-by-step explanation:

Confidence interval is written as

Sample mean ± margin of error

Margin of error = z × population standard deviation/number of samples

The z score for a 90% confidence level(1.645) is higher than the z score for a 80% confidence level(1.282)

If all other parameters(sample size and population standard deviation) remain the same, then the true statement is

The margin of error is larger in the 90% CI than in the 80% CI.

Option(A) The margin of error is larger in the 90% confidence interval than in the 80% CI because as the confidence level increases, a wider interval is required to maintain more certainty that it encompasses the true population parameter.

If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them is at the 80% confidence level and the other is at the 90% confidence level, the margin of error is larger in the 90% CI than in the 80% CI. This is because the margin of error (EBM) depends on the confidence level. A higher confidence level requires a wider interval to ensure that it captures the true population parameter with more certainty.

To construct a confidence interval, we use the form (point estimate − margin of error, point estimate + margin of error), where the margin of error depends on the confidence level and the standard error of the mean. Thus, as the confidence level increases from 80% to 90%, the margin of error needs to increase as well, resulting in a wider interval. This can be observed by comparing the 90 percent confidence interval to a 99 percent confidence interval, where the latter is wider because it leaves out less of the distribution in the tails and hence contains more of the normal distribution's probability.

Answer:

red bin

Step-by-step explanation:

The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

Given that,

630 kilometers ⇔ 5 hour

Divide both sides by 5

630/5 kilometers ⇔ 5/5 hour

126 kilometers ⇔ 1 hour

The ratio of kilometers to an hour in fraction form ⇒ 126/1

Hence "The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1".

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Answer:

(x + 4) (x - 3) (x + 3)

Step-by-step explanation: