One gallon of propane yields approximately 91,500 BTU. About how many BTUs does the spherical storage tank shown provide? Round to the nearest million BTUs.
(Hint: 1 ft³ ≈ 7.48 gal)

The student's question addresses the probability of selecting marbles of specific colors from a bag, which involves using combinatorics and probability theory, such as hypergeometric and multinomial distributions, for calculation.

The student's question pertains to the calculation of the probability of selecting marbles of a certain color from a bag, given a total number of marbles and the number of marbles of each color. The problems require knowledge of combinatorics and probability theory to solve.

Example 1

If a bag contains 50 marbles and 15 of them are green, the probability of choosing exactly 3 green marbles out of 10 selected can be calculated using the hypergeometric distribution. This involves using combinations to find out how many ways 3 green marbles can be chosen from 15, and how many ways 7 other marbles can be chosen from the remaining 35. These results are then divided by the number of ways to choose any 10 marbles from 50.

Example 2

When considering a bag with different colored marbles and drawing without replacement, the probability changes after each draw because the composition of the bag changes. The probability of drawing two specific colors in sequence requires multiplying the probability of drawing the first color with the probability of drawing the second color after the first has been removed.

Example 3

In scenarios where marbles are replaced after drawing, like with James and the blue and white marbles, the probability remains the same for each draw because the composition of the bag does not change.

Example 4

The multinomial distribution is used when we want to find the probability of a combination of outcomes happening over a series of events, such as drawing different color marbles a certain number of times with replacement.

Answer:

3 kg = 105.82 ounces

Step-by-step explanation:

We have,

1 ounce = 28.35 g

and

1 kg = 2.21 lb

If we want to the value of 3 kg to ounces. The direct relation between kilogram to ounce is as follows :

1 kg = 35.274 ounces

It means,

3 kg = 105.82 ounces

So, the value of 3 kg is equal to 105.82 ounces.

Answer:

“Although she set up the conversion correctly, she is not correct. She must have made an error when multiplying and dividing”

Step-by-step explanation:

Edge <3

Answer:

15.2 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

The hypotenuse of the formed triangle =  length of ladder = 16 feet

base = 5 feet

let h = height of house

16 ^2 = 5^2  +  h^2

256 = 25 + h^2

231 = h^2

h = root(231) = 15.1986 feet

It’s biased because he is asking people who left a country concert and usually people who go to concerts go because it’s the type of music that they like, so the chances of someone saying they like a different kind of music probably won’t happen.

Answer:

2.1 pounds

Hope this helps!

(Please mark brainliest)

The amount of garbage left of landfill is 2.1 pounds.

Given that, the average American adds to a landfill daily is 4.6 pounds.

Subtracting decimals:

1. Write down the two numbers, one under the other, with the decimal points lined up.

2. Add zeros so the numbers have the same length.

3. Then subtract normally, remembering to put the decimal point in the answer.

Amount of garbage left on landfill

= 4.6-2.5

= 2.1 pounds

Therefore, the amount of garbage left of landfill is 2.1 pounds.

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Answer:

c) An Infinite Number of Solutions

Step-by-step explanation:

y - 6 = 2x

y = 2(x+1) + 4.

Solve the first equation for y

y = 2x+6

Set the two equations equal

2x+6 = 2(x+1) +4

Distribute

2x+6 = 2x+2+4

2x+6 = 2x+6

Subtract 2x from each side

6 = 6

This is always true so there are infinite solutions

Answer:

1. parallelogram

2. trapezoid

3.rectangle

4. parallelogram

5. trapezoid

6. rhombus

7.rectangle

8. rhombus

Answer:

The answer you have selected should be correct.

Answer:

B. 15c > 1,800 + 10c

Step-by-step explanation:

Profit=Total revenue - total cost

Profit is achieved:

when total revenue is greater than total cost

TR>TC

Or

When total cost is less than total revenue

TC<TR

From the question

Total cost=1800+10c

Total revenue=15c

Profit=TR>TC or TC<TR

15c>1800+10c

Or

1800+10c<15c

Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC

Answer:

B. 15c > 1,800 + 10c

Step-by-step explanation:

The local bakery has an operating cost of $1800 plus a cost of $ 10 per cake produced. The operating cost is the expenses required to run the business. This is the amount required to keep the bakery company in existence. To make a profit, the sales each day must surpass the operating cost.

Since they sell only cakes , the sales of cakes for that day should surpass the operating cost for that day in order for them to make gain

operating cost = 1800 + 10c

where

c = number of cakes sold each day

The price for each cake = $15 . The sales for each day will be 15 × c(the number of cake sold) which should be greater than the operating cost  1,800 + 10c for them to make profit.

15c > 1,800 + 10c

We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

[tex]\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}[/tex]

Upon substituting the ratio between figure A and figure B, we will get:

[tex]\frac{3}{8}=\frac{x}{24}[/tex]

[tex]\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24[/tex]

[tex]\frac{3}{1}\cdot 3=x[/tex]

[tex]9=x[/tex]

Therefore, the value of x is 9.

In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.

The value of [tex]x[/tex] is 9.

Given:

The ratio of figure A and figure B is [tex]3:8=\dfrac{3}{8}[/tex].

Write the equation for proportion.

[tex]\dfrac{3}{8}=\dfrac{x}{24}[/tex]

Apply the cross multiplication rule.

[tex]3\times24=8\times x[/tex]

Further solve for the [tex]x[/tex].

[tex]x=\dfrac{3\times 24}{8}\\x=9[/tex]

Thus, the value of [tex]x[/tex] is 9.

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Answer:A

Step-by-step explanation:

Answer:

x  =  A(x) / 7

Step-by-step explanation:

A rectangular shape screen has an area A(r) in square inches

A(r)  =  w  *  x          where  w  is width  and  x  is length

If we know  A(r)  and  w = 7 in, we can express A(x) area of the rectangular screen as;

A(x)  =  7*x    ⇒   x  =  A(x) / 7

The experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.

The question is asking for the experimental probability that the next vehicle that comes on the lot will be a red car. To find this, we need to divide the number of red cars by the total number of vehicles on the lot. From Damon's table, we see that there are 45 red cars on the lot. The total number of cars and trucks is calculated by adding all the numbers in the table: 45 (red cars) + 41 (white cars) + 46 (silver cars) + 21 (red trucks) + 24 (white trucks) + 23 (silver trucks) = 200 vehicles in total.

To find the experimental probability, we divide the number of red cars by the total number of vehicles:

Experimental Probability = Number of Red Cars / Total Number of Vehicles

Experimental Probability = 45 / 200

This simplifies to:

Experimental Probability = 0.225 or 22.5%

Therefore, the experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.

Answer:

Sample Response: Both are correct. Either rule applied first will have the same result. Both rules will be used either way, and the order in which they are applied does not matter as long as they are applied correctly at each step.    

plz thank if you learned

Be sure to make it into your own words so that it is not the same.

Alisha is correct; one should apply the quotient of powers rule by subtracting the exponents of the numerator and the denominator before cubing the expression. The simplified form is then found by raising the result to the third power, multiplying the exponents by three.

Between Tyrone's and Alisha's claims, Alisha's approach is correct. The expression to simplify is ((m2n-3)/(m6n-1))3. According to the rules for dealing with exponents, when you have a fraction being raised to a power, you apply the quotient of powers rule before cubing the entire expression. This means that you first subtract the exponents within the numerator and the denominator before raising the simplified result to the third power.

The correct steps are as follows:

Answer:

RELATED

How to Multiply Fractions With Common Denominators

Updated April 24, 2017

By Pharaba Witt

Algebra strikes fear in the hearts of many both grown and still in school. Finding equivalent expressions is not as complicated or as daunting as you might think. It comes down to taking the distributive property and working with it to find another way to say the same thing, mathematically.

Using Distributive Property

Start with an algebraic expression. Using the example 2x(3y + 2) will make it easier to walk through the process.

Distribute the multiple 2x throughout the rest of the equation. This means multiplying 2x by 3y and by 2. Multiply 2x and 3y and you get 6xy. Multiply 2x by 2 and you get 4x.

Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.

Using Factoring

Identify the common factors in the parts of the equation. Breaking down the equation might be necessary to find an equivalent expression. If you were given the expression 6xy + 4x, you would need to work it the other direction by taking out the common numbers. In this case both numbers are divisible by 2.

Take out the first common number: 2(3xy + 2x). Now you see there is still another common factor, x.

Take out additional common factors: 2x(3y + 2). This gives you the equivalent expression. Again you end with 6xy + 4x = 2x(3y + 2).

Step-by-step explanation:

Answer:

Brady will need 25.12ft  of edging

There are 50.24ft²  in bradys garden

Step-by-step explanation:

radius = half of diameter

r = 8ft /2 = 4ft

To solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 4ft

π = 3.14

c = 2π * r

we replace with the known values

c =  2 * 3.14 * 4ft

c = 25.12ft

Brady will need 25.12ft  of edging

To solve the second part of the problem we need to use the area formula of a circle:

a = area

r = radius = 4ft

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (4ft)²

a = 3.14 * 16ft²

a = 50.24ft²

The area of the circle is 50.24ft²

Answer:

[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]

And we want this probability:

[tex] P(z<-1.991)[/tex]

And using the normal standard distribution or excel we got:

[tex] P(z<-1.991)= 0.0233[/tex]

And the best option would be:

D 0.0233

Step-by-step explanation:

For this case we have the following parameters:

[tex] \mu = 1.37, \sigma =0.67[/tex]

And we select a sample size of n=13. And we want to find this probability:

[tex] P(\bar X <1)[/tex]

We can assume that the distribution for this case is normal and then we can use the z score formula given by:

[tex] z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And if we replace the data given we got:

[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]

And we want this probability:

[tex] P(z<-1.991)[/tex]

And using the normal standard distribution or excel we got:

[tex] P(z<-1.991)= 0.0233[/tex]

And the best option would be:

D 0.0233

Answer:

You can't simplify it. 637 over 1000 simplified is 637/1000, unless you can put a decimal?

Step-by-step explanation:

To prove that triangle ABE is congruent to triangle CDE, we can use the SAS (Side-Angle-Side) congruence criterion by establishing that AB = CD and AE = EC, and angle BEA is common to both triangles.

We can use the SAS (Side-Angle-Side) congruence criterion to prove triangle ABE is congruent to triangle CDE.

First, note that since ABCD is a parallelogram, opposite sides are parallel and congruent, so AB = CD.

Next, since the diagonals of a parallelogram bisect each other, we have AE = EC and BE = ED.

Finally, since AE = EC and AB = CD, we have two pairs of congruent sides and the included angle BEA is common to both triangles. Therefore, by the SAS criterion, triangle ABE is congruent to triangle CDE.

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Triangles ABE and CDE are congruent by the SSS criterion, as in parallelogram ABCD the opposite sides are equal and diagonals bisect each other, making the corresponding sides of the triangles equal.

To prove that triangle ABE is congruent to triangle CDE in a parallelogram ABCD, where point E is the intersection of diagonals AC and BD, we can use the properties of parallelograms and the concept of congruent triangles.

First, in parallelogram ABCD, opposite sides are equal, hence AB = CD, and AD = BC. Also, diagonals of a parallelogram bisect each other, so AE = CE, and BE = DE. By the Side-Side-Side (SSS) criterion for congruence of triangles, if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Thus, in triangles ABE and CDE:

Since all three corresponding sides of triangle ABE are equal to the corresponding sides of triangle CDE, by the SSS criterion, triangle ABE is congruent to triangle CDE.

Answer:

8

Step-by-step explanation:

Answer:

She pulls 5 blue marbles

Step-by-step explanation:

Let x be the number of blue marbles

We are given that In her  experiment, she finds that she is twice as likely to pull a red marble as a blue  marble.

So, Number of red marbles = 2x

We are given that Marcia pulls 10 red marbles

So, [tex]2x = 10[/tex]

[tex]x =\frac{10}{2}[/tex]

x=5

Hence She pulls 5 blue marbles

Answer:

3/4

Step-by-step explanation:

Final answer:

The probability of Odell winning, which happens when 'A' is not spun at all, is 9 out of 16 possible outcomes when the spinner is spun twice. We calculate this by counting the number of outcomes without 'A' (9) and dividing by the total number of outcomes (16).

Explanation:

To find the probability that Odell wins, we first need to list all the possible outcomes when Gerardo spins the spinner twice. Since the spinner has four equal sections labeled A, B, C, and D, we can list the sample space (S), which includes every combination of two spins:

AA

AB

AC

AD

BA

BB

BC

BD

CA

CB

CC

CD

DA

DB

DC

DD

For Gerardo to win, A must appear at least once. We can identify the outcomes in which A does not appear at all, which would be the cases where Odell wins:

BB

BC

BD

CB

CC

CD

DB

DC

DD

There are 9 outcomes where A does not appear. Since each combination is equally likely, we can calculate the probability (P) that Odell wins by determining the ratio of these 9 outcomes to the total 16 outcomes in the sample space:

P(Odell wins) = Number of Odell winning outcomes / Total outcomes = 9 / 16

Therefore, the probability that Odell wins is 9/16.

Answer:

V = 5000 +  275*T   for simple annual interest

or:   A = 5000 * (1.055)^T   for an annual compound interest

Step-by-step explanation:

I assume this is a simple interest rate.  If not I will give the one for compound interest.

V = 5000 + 5000* 0.055 * T      (Value of account after T years)

V = 5000 +  275*T   for simple annual interest

or:   A = 5000 * (1.055)^T   for an annual compound interest

The equation that best describes the investment after T years is I = P * r * T, where I is the investment value, P is the principal amount, r is the interest rate, and T is the number of years.

The equation that best describes the investment after T years is:

I = P * r * T

Where:

I is the investment value after T years

P is the principal amount initially invested ($5,000 in this case)

r is the interest rate per year (5.5% as a decimal, which is 0.055)

T is the number of years

For example, if T = 3 years, the equation would be:

I = 5000 * 0.055 * 3 = 825

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Answer:

from least to greatest 112 121 124 137 147 156 173 189

Step-by-step explanation:

if you subtract each number from a number that is greater than all the numbers for example 200 then what ever has the most left will be greatest and least will be least for example 121 - 200 is negative 79 and 189 - 200 is negative 11 negative 11 is higher so its a greater number there is also easier ways to do this but this is just extra

Explanation:

Step 1) Put the numbers in order from smallest to biggest. That order would be {112, 121, 124, 137, 147, 156, 173, 189}

Step 2) There are 8 items in the list above. This is an even number of values. The middle most number is tied between 137 and 147 (slots 4 and 5). Average these two values to get (137+147)/2 = 284/2 = 142. The number 142 is exactly halfway between 137 and 147.

Answer:

Second Option: Only the count of bacteria 2 is changing exponentially.

Answer:

50ft

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

- Take the square root of both sides of the equation so that we can get rid of the squared on the x+7

- The square root of 81 is 9

- so now, the equation is x+7=9

- subtract seven from both sides

Final answer:

The experimental probability of drawing a green marble next based on past draws is 19 out of 50, which can also be represented as 0.38 or 38%.

Explanation:

The question asks about the experimental probability of drawing a green marble from a bag given prior outcomes. To find the experimental probability, you divide the number of times the event of interest (drawing a green marble) occurred by the total number of trials. In this case, a green marble was drawn 19 times out of 50 total draws.

Therefore, the experimental probability is 19/50. This can also be expressed as a decimal, 0.38, or as a percent, 38%.

Answer:

A)  x >(Greater-than-or-equal-to) 2236

Step-by-step explanation:

The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236) which is option a.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b

According to question

Their savings are $2764

and they need $5000

so inequality is (2764 + x) ≥ 5000

On solving

2764 + x ≥ 5000

x ≥ 5000 - 2764

x ≥ 2236

Hence, The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236).

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Answer:

1,114.67

Step-by-step explanation:

Answer:

1114.67

Step-by-step explanation:

Just yeah... It's right..