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2 years ago

What is the total number of people in the eight households? a.16. B. 64. C.14. D.48

Mathematics

1 answer:

Annette [7]2 years ago

7 0

Answer: 48

Step-by-step explanation:

Here's the complete question:

The mean number of people per household in eight households is six people. what is the total number of people in the eight households?

First and foremost,we should note that mean means the average of a given set of numbers.

Since the mean number of people per household in eight households is six people, the total number of people in the eight households would be calculated by multiplying 6 by 8. This would be:

= 6 × 8

= 48 people

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How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?

VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

$\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)$

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

$\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))$

$\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)$

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2 years ago

Translate the word phrase into a variable expression.

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3 years ago

List five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion

attashe74 [19]

9514 1404 393

Answer:

-0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

-4/5 = -0.8

-2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

-0.67, -0.68, -0.69, -0.70, -0.71

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

-2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

1/6 of this difference is ...

(1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

-2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

-31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

<em>Additional comment</em>

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

-0.68, -0.685, -0.6853, -0.68531, -0.799

7 0

2 years ago