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PolarNik [594]
2 years ago
12

Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the

maximum possible weight, in kilograms, of the lightest box
Mathematics
1 answer:
GuDViN [60]2 years ago
3 0

Answer:

3

Step-by-step explanation:

A) 1

(B) 2

(C) 3

(D) 4

(E) 5

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of numbers / number of observation

sum of numbers = 3 x 7 = 21

Median is the number that is at the center or middle of a set of obervations

x +  9+ y = 21

x= lowest number

y = highest number

x + y = 21 - 9

x + y = 12

If x = 1 y = 11

if x = 2 y = 10

if x = 3 y = 9

if x = 4 y = 8

the first 3 are plausible and the median would still be 9 if x = 4, median would be 8

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suter [353]

The Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.

<h3>What is factor of polynomial?</h3>

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial expression is,

f(x)=16x^6-9

Now, Cecile add 0x as,

f(x)=16x^6+0x-9

Now, here the product of 16 and 9 is 144. Therefore, the factors must have the product of 144 and sum of 0. Thus, by using the split the factor method as,

f(x)=16x^6+12x-12x-9\\f(x)=4x^3(4x^3+3)+(-3)(4x^3+3)\\f(x)=(4x^3+3)(4x^3-3)

Thus, the Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.

Learn more about factor of polynomial here;

brainly.com/question/24380382

5 0
2 years ago
Read 2 more answers
Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera
bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

5 0
3 years ago
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Answer:

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6 0
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The explicit formula for the nth term of an arithmetic sequence is an = a1 + (n - 1) • d. What is the simple formula correspondi
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To solve this problem you must apply the proccedure shown below:

 1. You have the following points given in the problem above:

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 2. When you plot them, you obtain the figure shown in the graph attached. 

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