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3 years ago

How many 10 person juries can be formed from 21 possible candidates???

Mathematics

2 answers:

iren2701 [21]3 years ago

7 0

The answer is 352,716.

This is a combination; out of 21 you are choosing 10:

$_{21}C_{10}=\frac{21!}{10!11!}=352,716$

solong [7]3 years ago

7 0

Answer:

352,716 juries of 10 people can be formed from 21 possible candidates

Step-by-step explanation:

I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

10 people from a set of 21

$C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716$

352,716 10 person juries can be formed from 21 possible candidates

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On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater

Juliette [100K]

Answer:

Option D: $12\frac{1}{2}$ is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to $7\frac{1}{2}$ miles

We will find the unit rate in term of inches.

$\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch$

Total distance covered by Bonnie according to map;

Total distance = $\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}$

Total distance = $\frac{5}{4}\ miles$

Actual distance = $\frac{5}{4}*10 = \frac{25}{2}\ miles \\$

Actual distance = $12\frac{1}{2}\ miles$

Hence,

Option D: $12\frac{1}{2}$ is the correct answer.

8 0

3 years ago

Factor -7x^3+21x^2+3x-9 by grouping. what is the resulting expression?

Daniel [21]

Answer:

c) (3-7x^2)(x-3)

Step-by-step explanation:

-7x^3+21x^2+3x-9

Factor out a -7x^2 from the first two terms and a 3 from the last two terms

-7x^2 (x -3) +3(x-3)

Now factor out (x-3)

(x-3) (-7x^2+3)

Rearranging)

(x-3) (3-7x^2)

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3 years ago

uranmaximum [27]

Answer:

1. 1

2. 1

3. -1/125

4. 1/125

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3 years ago

7-5x+1 please answer i need this NOW!!!!!!!!!!!!!!!!!!!!!

Alisiya [41]

Answer:x=8/5 or 1.6

Step-by-step explanation:

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3 years ago

HELP PLEASE

nordsb [41]

Answer:

<h3>perpendicular line: y = -¹/₆ x + 4¹/₃ </h3><h3> parallel line: y = 6x - 45 </h3>

Step-by-step explanation:

y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7 ⇒ m₁=6

6×m₂ = -1 ⇒ m₂ = -¹/₆

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in slope-intercept form:

y = -¹/₆ x + 4¹/₃

y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂

{Two lines are parallel if their slopes are equal}

y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in slope-intercept form:

y = 6x - 45

7 0

3 years ago