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Keith_Richards [23]
2 years ago
5

Approximate

" align="absmiddle" class="latex-formula"> to the nearest 10th
Mathematics
1 answer:
alisha [4.7K]2 years ago
5 0

The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters

<h3>What are equivalent expressions?</h3>

Equivalent expressions are different expressions that have equal values when evaluated and compared

<h3>How to approximate the radical expression?</h3>

The expression is given as:

-8 + √20

The above expression is a radical expression

So, we start by doing the following

Express 20 as 5 * 4

-8 + √20 = -8 + √(5 * 4)

Split the radical expression √(5 * 4)

-8 + √20 = -8 + √5 * √4

Evaluate the square root of 4 i.e. √4 = 2

-8 + √20 = -8 + √5 * 2

This gives

-8 + √20 = -8 + 2√5

Evaluate the square root of 5

-8 + √20 = -8 + 2 * 2.2

Evaluate the product of 2 and 2.2

-8 + √20 = -8 + 4.4

Evaluate the difference

-8 + √20 = -3.6

Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6

So, the complete equation is:

-8 + √20 = -3.6

Read more about equations at:

brainly.com/question/2972832

#SPJ1

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Answer:

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Step-by-step explanation:

4 0
2 years ago
Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each goi
Viktor [21]

Answer:

The expected cost is $8.75

<em></em>

Step-by-step explanation:

Given

Time = \{1pm, 2pm, 3pm, 4pm\}

C_1 = \$5 --- If Bob and Anna meet

C_2 = \$10 --- If Bob and Anna do not meet

Required

The expected cost of  Bob's meal

First, we list out all possible time both Bob and Anna can select

We have:

(Bob,Anna) = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}

n(Bob, Anna) = 16

The outcome of them meeting at the same time is:

Same\ Time = \{(1,1),(2,2),(3,3),(4,4)\}

n(Same\ Time) = 4

The probability of them meeting at the same time is:

Pr(Same\ Time)  = \frac{n(Same\ Time)}{n(Bob,Anna)}

Pr(Same\ Time)  = \frac{4}{16}

Pr(Same\ Time)  = \frac{1}{4}

The outcome of them not meeting:

Different = \(Bob,Anna) = \{(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2)

,(3,4),(4,1),(4,2),(4,3)\}

n(Different) = 12

The probability of them meeting at the same time is:

Pr(Different)  = \frac{n(Different)}{n(Bob,Anna)}

Pr(Different)  = \frac{12}{16}

Pr(Different)  = \frac{3}{4}

The expected cost is then calculated as:

Expected = C_1 * P(Same) + C_2 * P(Different)

Expected = \$5 * \frac{1}{4} + \$10 * \frac{3}{4}

Expected = \frac{\$5}{4} + \frac{\$30}{4}

Take LCM

Expected = \frac{\$5+\$30}{4}

Expected = \frac{\$35}{4}

Expected = \$8.75

<em>The expected cost is $8.75</em>

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3 years ago
The Maximus Electric Company will increase employee's yearly wages by 2.5% next year. An employee whose
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Answer:

46,125

Step-by-step explanation:

2.5% = .025

45,000 * .025 = 1,125

45,000 + 1,125 = 46,125

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