A farmer must decide whether to build a cylindrical grain silo with a radius r, or a rectangular grain silo with a width rand length 2r. Both silos have the same heighth
Which has the greater ratio of volume to visible surface area? Explain.

The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).

For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).

As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.

Here we have to calculate the probability that the number landing face up will be less than 3.

The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6

(1, 2, 3, 4, 5, 6)

Favorable number of faces of a die = 2

(1, 2)

Since the number landing faces up will be less than 3.

Therefore the probability that the number landing face up will be less than 3

\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)

\(& =\frac{2}{6} \\\)

\(& =\frac{1}{3}\)

Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)

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The long-run relative frequency of a number less than 3 landing face up is 2/3.

The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.

For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.

For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.

Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.

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Answer:

133 sodas

87 hot dogs

I've completed the work in the photo, just trying to reach the letter count lol

Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

Tristan needs 63 trips to carry 54 cords of wood.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

1 pick up  ⇔  6/7 cord of wood

Multiply by 54 on both sides

54 pick  up ⇔ (6/7)54 cords of wood

Multiply by 7/6 on both sides

54(7/6) pick up ⇔ 54 cords of wood

63 pick up  ⇔ 54 cords of wood

Hence for 54 cords of wood Tristan need 63 trips.

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(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer: 1.3

Step-by-step explanation:

If u subtract 6-4.7 u will get 1.3 and you can also do it for all and u will still get the same answer

Answer:

Step-by-step explanation:

Since RQT=155

4x-20+3x+14=155

7x-6=155

7x=161

x=23

Answer:

You need more deatils, did you work 24 hours per day or 9 hours. my question is how many hours a day did you work?

Answer:

2

Step-by-step explanation:

64 ÷ 32 = 2

2 × 32 = 64

Answer:

2

Step-by-step explanation:

you do 64 divided by 32 which you would get the same answer as 6 divided by 3 which is 2

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

30 square cm

Step-by-step explanation:

Hope this helped

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of six sides on the die, two are the desired results, which are 1 or 6, hence the probability is given as follows:

p = 2/6

p = 1/3.

Hence, out of 60 trials, the expected number of successes is given as follows:

E(X) = 60 x 1/3

E(X) = 20.

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Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10

Step-by-step explanation:

Answer:

There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:

A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.

A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.

A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.

A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.

There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.

Check the picture below.

\(\begin{cases} L^2+w^2=50^2\\ Lw = 1200\\[-0.5em] \hrulefill\\ L^2+w^2=2500\\ L=\sqrt{2500-w^2} \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{\sqrt{2500-w^2}~w=1200} \\\\\\ \stackrel{\textit{squaring both sides}}{w^2(2500-w^2) = 1200^2}\implies 2500w^2-w^4=1440000 \\\\\\ 0=w^4-2500w^2+1440000\implies 0=\stackrel{\textit{tis a quadratic}}{(w^2)^2-2500w^2+1440000}\)

\(0=(w^2-900)(w^2-1600)\implies \begin{cases} 0=w^2-900\\ 900=w^2\\ \sqrt{900}=w\\ \boxed{30=w}\\[-0.5em] \hrulefill\\ 0=w^2-1600\\ 1600=w^2\\ \sqrt{1600}=w\\ \boxed{40=w} \end{cases} \\\\\\ \stackrel{\textit{we know that}}{L = \sqrt{2500 - w^2}}\implies \begin{cases} L=\sqrt{2500-30^2}\\ \boxed{L=40}\\[-0.5em] \hrulefill\\ L=\sqrt{2500-40^2}\\ \boxed{L = 30} \end{cases}\)

The length of the given TV is 40 inches and width of the given TV is 30 inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

The area of rectangular shape TV is 1,200 square inches.

The TV is 50".

Now, L²+W²=50² ----------(I)

L×W=1200 ----------(II)

L²+W²=2500

⇒ L²=2500-W²

⇒ L=√(2500-W²)

Substitute L=1200/W in L=√(2500-W²), we get

1200/W=√(2500-W²)

Squaring on both the sides we get

1440000/W² =2500-W²

⇒ 1440000=2500W²-\(W^4\)

⇒ \(W^4\)-2500W²+1440000=0

⇒ (W²)²-2500W²+1440000=0

⇒ (W²)²-900W²-1600W²+1440000=0

⇒ W²(W²-900)-1600(W²-1600)=0

⇒ (W²-1600)(W²-900)=0

⇒ W²-1600=0 and W²-900=0

⇒ W²=1600 and W²=900

⇒ W=±40 and W=±30

So, W=40, -40, 30, -30

Length =1200/W =40 or 30

Therefore, the length of the TV is 40 inches and width is 30 inches.

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Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

28.0125 cm^2 rounded to 28.0 cm^2

Step-by-step explanation:

Area = a*b*sin(c)*1/2

Area = 7 * 13 * sin(38) * 1/2

Area = 91/2 * 0.61566...

Area = 28.0125...

The function g(x) is equal to g(x) = 3x².

Given is functions f(x) and g(x) are shown on the graph and f(x) = x².

The function g(x) is equivalent to 3 times function f(x) for every value of {x}. So, we can write - g(x) = 3x²

Therefore, the function g(x) is equal to g(x) = 3x².

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Answer:

Use inequalities.

At certain x values.

Step-by-step explanation:

\(3 \leqslant x \leqslant 6\)

\( - \infty < x < \infty \)

\(x = 6\)

Answer:

Step-by-step explanation:

A: -14

Explanation:

2 x -7 = 14

B: -12

Explanation:

3 x 4 = 12. Then, add the negative.

C: 30

5 x 6 = 30. Then, two negatives multiplied together is a positive number.

Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

Answer:

The correct statement is: ΔJDC ≅ ΔYAM.

This is because the given statement ΔJCD ΣΔMAY tells us that ΔJCD is congruent to ΔMAY by the SAS (side-angle-side) postulate.

We can use this information to conclude that ΔJDC is congruent to ΔYAM by the CPCTC (corresponding parts of congruent triangles are congruent) theorem. Specifically, the corresponding parts that are congruent are:

Therefore, the correct congruency statement is ΔJDC ≅ ΔYAM. The other statements are not correct.

Answer:

Try 57/125

Step-by-step explanation:

Step 1: 0.456 = 456⁄1000

Step 2: Simplify 456⁄1000 = 57⁄125

Answer:

Step 1: 0.456 = 456⁄1000

Step 2: Simplify 456⁄1000 = 57⁄125

Hope this helps! （づ￣3￣）づ╭❤～

EXPLANATION:

Given;

We are told that Joey's drawer contains the following;

Black dress socks = 3

Black ankle socks = 3

Brown dress socks = 6

Brown ankle socks = 4

Required;

If a sock is chosen at random, find the probability that it is brown or is a dress sock.

Step-by-step solution;

The drawer contains a total of 16 socks.

Also, there is a total of 9 dress socks and 10 brown socks.

The probability of choosing a brown or dress sock will be determined by the following formula;

We can now substitute the values given for this experiment as follows;

ANSWER:

The probability that Joey would select a sock at random that is brown or is a dress sock is

Option D is the correct answer.

Classifying the polynomial 5x³ + 4x − 2 by degree gives a degree of

An equation made up of variables, exponents, and coefficients along with operations and the equal sign is known as a polynomial equation.

Sums of terms of the form kxⁿ, where k is any number and n is a positive integer, make up polynomials.

The degree refers to the highest exponents which is a positive integer

examining the function the degree is 3 and referred to as cubic

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Answer:

A. r²

Step-by-step explanation:

The formula for the area of a circle is π r²,

thus the π is multiplied by the r²

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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