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Fynjy0 [20]
3 years ago
6

Please help me out please

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

By comparing the perimeters, we can deduce the scaling factor:

k = \dfrac{34}{20} = 1.7

The areas scale with the square of the scaling factor, so the new area is

19.6 \cdot 1.7^2 = 56.644

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Select the irrational numbers.<br> A. 39<br> B. 72<br> C. V111<br> D. 122<br> E. 144
stich3 [128]
The only irrational number there is C
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If the circumference of circular field is 16 π cm . The area of the field is
Vlad [161]

256

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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>

4 0
3 years ago
An omelette costs $1.50 more than Mario's order of pancakes. After treating his family to breakfast, Mario is sure that 4 omelet
masha68 [24]
The other answer here, by Nicholasrichar, has the correct answers,
but it's a pain to follow through step-by-step because of the formatting
problem.  Here's my solution, leading to the same answers:

P = cost of pancakes
cost of omeletto, = P+1.50

4 omelettes = 4P + 6
3 pancakes = 3P

Total cost of food = 7P + 6
After 7% tax         = 1.07(7P + 6)
After tip                = 1.07(7P + 6) + 3.50

Eliminate parentheses:  1.07(7P) + 1.07(6) + 3.50 =
                                        7.49P    +    6.42  + 3.50  = 

Total cost of breakfast:        7.49P + 9.92 .

Having a "range" between $25 and $40 is really two inequalities:

First inequality:    $25 < 7.49P + 9.92

Subtract 9.92 from each side:  15.08 < 7.49P

Divide each side by 7.49:          $2.013 < P

An order of pancakes costs more than $2.01 .


Second inequality:    7.49P + 9.92 < $40

Subtract  9.92 from each side:  7.49P < 30.08

Divide each side by  7.49 :              P < $4.016

An order of pancakes costs less than $4.02.

The price range of an order of pancakes is   $2.01 < Pancakes < $4.02 .

7 0
3 years ago
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1/6 is the probability of rolling a dice and getting less than 3.
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