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zavuch27 [327]
2 years ago
15

Cynthia rounds a number, x,to one decimal place. the result is 6.3.

Mathematics
1 answer:
gladu [14]2 years ago
7 0

The answer is: 6.25\leq6.3

The explanation is shown below:

1. Cynthia rounds the number, which is identified as x, to one decimal place and the result is 6.3.

2. Based on this, we know that x could have been between 6.25 and 6.35. Therefore, the error interval for x is given by:

 6.25\leq6.3

Where \leq indicates that the value 6.25 is included and indicates that the value 6.35 is not included (Because if x had been exactly 6.35, Cynthia would round up to 6.4).

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7 0
2 years ago
What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 16 red marble
boyakko [2]

Option B

Probability of drawing yellow marble followed by a red marble is \frac{32}{301}

<em><u>Solution:</u></em>

Given that a bag containing 12 yellow marbles, 16 red marbles, and 15 green marbles

So total number of marbles = 12 + 16 + 15 = 43

To find: probability of drawing yellow marble followed by a red marble if the first marble is not replaced

<em><u>The probability of an event is given as:</u></em>

probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}$

<em><u>probability of drawing yellow marble followed by a red marble if the first marble is not replaced:</u></em>

First we pick up yellow marble.

Number of favorable outcomes = 12 yellow marbles

Total number of possible outcomes = 43 marbles

\text{ probability} = \frac{12}{43}

Now we have to pick red marble

But first marble is not replaced

So we have 43 - 1 = 42 number of possible outcomes

Favorable outcomes = 16 red marbles

\text{ probability} = \frac{16}{42}

So probability of drawing yellow marble followed by a red marble is:

\text[ probability } = \frac{12}{43} \times \frac{16}{42} = \frac{32}{301}

Thus probability of drawing yellow marble followed by a red marble is \frac{32}{301}

7 0
2 years ago
Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of th
mina [271]
Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.

2x=120-2y
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2y=120-2x
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Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)
7 0
2 years ago
Read 2 more answers
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