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3 years ago

12

Part A: Explain why x = 5 makes 4x - 1 5 19 true but not 4x - 1 < 19.

1 answer:

Westkost [7]3 years ago

6 0

9514 1404 393

Answer:

19 ≤ 19 . . . true
19 < 19 . . . false
x = 9

Step-by-step explanation:

A) A number cannot be less than itself, but can be equal to itself.

In each case, the left side of the inequality evaluates to 19:

4(5) -1 = 20 -1 = 19

It is true that 19 is less than or equal to 19. This is true because 19 = 19.

It is not true that 19 is less than 19. A number cannot be less than itself.

__

B) 5x +2 = 47

5x = 45 . . . . . . subtract 2 from both sides

x = 9 . . . . . . . . . divide both sides by 5

The element 9 from the set is the solution to the equation.

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12x=900 Divide both sides by 12.

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3 years ago

telo118 [61]

The correct answer is A

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3 years ago

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

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Answer:

$(a)\ P(x = 0) = 0.2725$

$(b)\ P(x \ge 1) =0.7275$

$(c)\ P(x \le 2) = 0.8948$

Step-by-step explanation:

Given

$n = 8$ --- 8 friends

$p = 15\%$ --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

Solving (a): P(x = 0) --- None has done one time fling

$P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}$

$P(x = 0) = 1* 1 * (1 - 0.15)^{8}$

$P(x = 0) = 0.85^8$

$P(x = 0) = 0.2725$

Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

Solving (c): $P(x\le 2)$ --- Not more than 2 has one time fling

This is calculated as:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

We have:

$P(x = 0) = 0.2725$

$P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}$

$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

$P(x = 1) = 0.3847$

$P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}$

$P(x = 2) = 28* (0.15)^2 * (1-0.15)^6$

$P(x = 2) = 0.2376$

So:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

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2 years ago

Solve for x 4x - 3 = 6x + 2 ?

marissa [1.9K]

Answer:

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Step-by-step explanation:

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3 years ago

Evan has a storage unit that he keeps all his garden tools in. It measures 4 feet by 312 feet by 2 feet.A prism has a length of

Alexxandr [17]

The maximum amount of supplies that the storage unit can hold is 28 ft³

<h3>How to calculate the volume of a rectangular prism?</h3>

For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;

V = Length × width × height.

We are given;

length = 4 feet

width = 3.5 feet

height of the prism = 2 feet.

Thus;

V = 4 * 3.5 * 2

V = 28 ft³

Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³

Read more about Volume of Rectangular Prism at; brainly.com/question/4062480

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1 year ago