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4 years ago

50 pts If You Get IT RIGHT!!!

Mathematics

1 answer:

Gnom [1K]4 years ago

5 0

Answer:

angles a and b are lined up

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Justin has written 5 novels with an average length of 450 pages. If his sixth novel is 750 pages long, what is the average lengt

OLga [1]

Answer:

Option A: 500 pages

Explanation:

1. Number of pages of the first 5 novels

Average = [Number of pages] / [number of novels]

450 pages / novel = Number of pages / 5 novels

Number of pages = 5 novels × 450 pages / novel = 2,250 pages

2. Average length of all 6 novels

Average = [Number of pages] / [number of novels]

Number of pages of 6 novels = 2,250 pages + 750 pages = 3,000 pages

Average = 3,000 pages / 6 novels = 500 pages / novel

4 0

3 years ago

A home owner wants to purchase two different chairs for the living room, one for in front of the fire place and one for in front

Ipatiy [6.2K]

Using the combination formula, it is found that photos of 9 different chairs were shown to the home owner.

The order in which the chairs are chosen is important, hence, the permutation formula is used to solve this question.

<h3>What is the permutation formula?</h3>

$P_{n,x}$ is the number of different permutations of x objects from a set of n elements, given by:

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

In this problem, two chairs are chosen from a set of n, and there are 72 different outcomes, hence:

$P_{n,x} = 72, x = 2$

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

$72 = \frac{n!}{(n-2)!}$

$72 = \frac{n(n - 1)(n - 2)!}{(n-2)!}$

$n^2 - n = 72$

$n^2 - n - 72 = 0$

Which is a quadratic function with coefficients $a = 1, b = -1, c = -72$ , hence:

$\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-72) = 289$

Taking the positive root:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{289}}{2} = 9$

Photos of 9 different chairs were shown to the home owner.

You can learn more about the permutation formula at brainly.com/question/25925367

3 0

2 years ago

A swimming pool has a rectangular base 10 ft long and 20 ft wide. The sides are 4 ft high, and the pool is half

Lostsunrise [7]

Answer:74880 ft.lb

Step-by-step explanation:

Given

Dimension of pool

base=10 ft

width=20 ft

height=4 ft

Pool is half filled

volume of Pool $=10\times 20\times 2=400 ft^3$

mass of water $=\rho \times volume$

mass $=62.4\times 400=24,960 lb$

This pool is in the form parallelepiped therefore average distance $=\frac{4+2}{2}=3$

Work $= 249600\times 3=74880 ft.lb$

7 0

3 years ago

What is equivelant to 6 divided by 27

Sholpan [36]

The fractions that's equivalent to 6/27 is 2/9

7 0

3 years ago

Read 2 more answers

6. Which of the following is a continuous random variable:

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

3 0

3 years ago