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3 years ago

The next term in the geometric sequence -1, -2, -4, ... is -6. True or False

Mathematics

1 answer:

Anna35 [415]3 years ago

7 0

False
because
r=2
so
an=a1r^(n-1)
a4=(-1)(2^(4-1))
=(-1)(2^3)
=(-1)(8)
=-8
so a4 equals -8 not -6

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A box contains 144 marbles, which are either red or blue. if there are 3 times as many red marbles as there are blue marbles in

kicyunya [14]

Given:
X: The blue marbles.
3X: The red marbles.
A box contains 144 marbles.
SOLVING:
X + 3X = 144
4X = 144
X = $\frac{144}{4}$
X = 36 ===> The blue marbles.

If there are 3 times as many red marbles as there are blue marbles:
3(36) = 108 ===> The red marbles. SOLUTION

TESTING:
$36+108=144$
$\boxed{144}=\boxed{144}\quad\checkmark\ The\ value\ is\ correct.$
GOOD LUCK...!!!

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3 years ago

The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15c

Alexus [3.1K]

Answer:

a) 5.13% probability that all of the offices are filled by members of the debate team

b) 2.56% probability that none of the offices are filled by members of the debate team

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

(a) What is the probability that all of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 8(candidates of the members debate team).

$D = P_{(8,4)} = \frac{8!}{(8-4)!} = 1680$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{1680}{32760} = 0.0513$

5.13% probability that all of the offices are filled by members of the debate team

(b) What is the probability that none of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

$D = P_{(7,4)} = \frac{7!}{(7-4)!} = 840$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{840}{32760} = 0.0256$

2.56% probability that none of the offices are filled by members of the debate team

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3 years ago

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Illusion [34]

f(x) = 2 + 3cos(10π(x - 3))
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f(47) = 2 + 3cos(31.4(45))
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f(47) = 2 + 3(0.891006524)
f(47) = 2 + 2.673019573
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3 years ago

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Shtirlitz [24]

Answer:

Step-by-step explanation:

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2 years ago

This square has the hypotenuse of a right triangle as one of its sides.

Anni [7]

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3 years ago

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