How many different 12 member juries can be chosen from a pool of 20 people?

Answer:

the answer is 3 I think if not than 2

Answer:

7/6

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

Using the given points

m = (-2 - -9)/(2 -8)

   = (-2+9) / (-6)

    = 7/6

Answer: 14\(x^{2}\) − 16x − 6

To find y when x = 5, we can use the next proportion:

Solving for y:

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

Answer:

(f-g)(x) is equivalent to f(x) - g(x)

So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3

Hope this helps.

Step-by-step explanation:

Answer: bottom right

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

12.6666666667

rounded it would be 12.7

Step-by-step explanation:

Answer:

The score of class b were better than the scores of class a.

the median for class a was 77.5

the median for class b was 90

therefore class b overall scored better on the quiz than class a

Step-by-step explanation:

hope this helps :)

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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Answer:

i love you :)

Step-by-step explanation:

B only

cos B = a/c

The population of chickadees in the region is 8,400 and the population of blue jays is 3,600.

percentage, a relative value indicating hundredth parts of any quantity.

First, we can find the population of chickadees by multiplying the population of phoebes by 0.7 (100% - 30%):

Population of chickadees = 0.7 x 12,000 = 8,400

Next, we can find the population of blue jays by multiplying the population of phoebes by 0.3:

Population of blue jays = 0.3 x 12,000 = 3,600

Therefore, the population of chickadees in the region is 8,400 and the population of blue jays is 3,600.

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Answer: 45 DVDs

Step-by-step explanation:

Assume that the number of DVDs owned by Manuel is x.

In comparison to Manuel therefore, the DVDs owned by Hakeem can be expressed as:

= 3/5 * x - 7

We know that Hakeem owns 20 DVDs so we can use this number to solve for x:

20 = 3/5x - 7

3/5x = 20 + 7

3/5x = 27

x = 27 ÷ 3/5

x = 27 * 5/3

x = 45 DVDs

Answer:

b = 79

Step-by-step explanation:

The y-intercept is the point at which x is 0. Looking at the data table, when x is 0, y is 79.

We are going to reject the null hypothesis when we test the claim that the mean GPA of night students.

From the information illustrated, the claim was that the mean GPA of night students is significantly different than 2.5 at the 0.2 significance level.

This is a two tailed hypothesis. The test statistic will be:

= (2.54 - 2.5) / (0.07 / ✓45)

= 3.83

Degree of freedom = n - 1

= 45 - 1

= 44

The critical value for this is 1.301.

Since the t statistics is more than the the t critical value, we will reject the null hypothesis.

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The simplified equation of the function A= -(-9x+10)(4x-3)-(4x-9) is A= 36x² - 17x + 39

From the question, we have the following equation that can be used in our computation:

A= -(-9x+10)(4x-3)-(4x-9)

To make the equation legible, we need to rewrite it

So, we have the following representation

A= -(-9x + 10)(4x - 3) - (4x - 9)

Next, we expand the brackets

This gives

A= -(-36x² - 27x + 40x - 30) - (4x - 9)

Next, we open the brackets

So, we have the following representation

A= 36x² + 27x - 40x + 30 - 4x + 9

Solving further, we collect the like terms

A= 36x² + 27x - 40x - 4x + 30  + 9

Solving further, we evaluate the like terms

A= 36x² - 17x + 39

Hence, the equation is A= 36x² - 17x + 39

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Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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The value of longest side is,

⇒ PO

And, The value of shortest side is,

⇒ NP

We have to given that;

In triangle NOP,

∠N = 66°

∠P = 60°

Hence, We get;

∠ O = 180 - (66 + 60)

∠O = 180 - 126

∠O = 54°

Here, The largest angle is, ∠N

Hence, The value of longest side is just opposite to angle N

That is, Longest side is, PO

And, The Smallest angle is, ∠O

Hence, The value of smallest side is just opposite to angle O

That is, Smallest side is, NP

Thus, The value of longest side is,

⇒ PO

And, The value of shortest side is,

⇒ NP

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The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

283500

Step-by-step explanation:

Your answer is

\(383000-99500\)

Which is 283500

Hope this helps Please hit the crown :D

The asteroid are separated by 383,000 km.

The asteroid moves 99,500 km toward the planet.

Let F = how far does the asteroid need to travel before reaching the planet.

F = 383,000 km - 99,0m500 km

F = 283,500 km

Got it?

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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