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3 years ago

Evaluate the summation of 3 times negative 2 to the n minus 1 power, from n equals 1 to 5..

Mathematics

2 answers:

Gnom [1K]3 years ago

6 0

For n = [1,2,3,4,5] you can evaluate the series as follows:

$3( -2)^{1-1} +3( -2)^{2-1} +3( -2)^{3-1} +3( -2)^{4-1}+3( -2)^{5-1}$
= 3 + (-6) + (12) + (-24) + (48)
= 63 - 30
= 33

erica [24]3 years ago

6 0

He is correct, the answer is 33

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there are 12 students who play the clarinet and 16 students who play the viola. what does the ratio 16:12 describe?

Oksi-84 [34.3K]

Answer: The ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

Step-by-step explanation:

Given : Number of students who play the clarinet= 12

Number of students who play the viola=16

We know that ratio of A to B is represented by A:B.

Since, the number '12' is representing " students who play the clarinet" and number '16' is representing " students who play the viola"

So , the ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

6 0

3 years ago

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disa [49]

Answer:

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Step-by-step explanation:

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3 years ago

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the

maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

$P(X > x) = \frac{b - x}{b - a}$

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that $a = 0.95, b = 1.05$

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

$P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5$

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

$P(X > x) = 0.9$

$\frac{1.05 - x}{1.05 - 0.95} = 0.9$

$1.05 - x = 0.9*0.1$

$x = 1.05 - 0.9*0.1$

$x = 0.96$

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

4 0

3 years ago

Leena has 2/3 of a glass of milk with her. She gives 1/6 of it to her cat. How much of milk is left with her now?

Dmitrij [34]

Answer:

1/2 glass milk is left.

Step-by-step explanation:

2/3 - 1/6 = 1/2

6 0

2 years ago

For addition, drag tiles onto the board,

Orlov [11]

answer : -1 welcome

Step-by-step explanation:

4+-5 equals -1

5 0

2 years ago