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boyakko [2]
3 years ago
8

What is 3.502 rounded to the nearest 0.1 pound

Mathematics
2 answers:
Luda [366]3 years ago
3 0

Answer:

3.5

Step-by-step explanation:

Grace [21]3 years ago
3 0

Answer:

3.5

Step-by-step explanation:

A number rounded to the nearest 0.1 will only have 1 number after the decimal point, meaning the numbers that follow after must be rounded either to raise the shown number up 0.1, or rounded down to keep the same digit value.

<u>Rounding:</u>

Example: 48.6738 rounded to the nearest 0.1

<u>The digit directly after the digit that will be rounded is the only factor to determining if it is rounded up or down.</u>

- 6 is the number that is being rounded

- 7 is the number that will determine if the 6 stays the same or is raised 1 digit.

If the determining number is 5 or more, then the rounding number will be raised. If the determining number is 0-4, then it will stay the same.

Because in this example, the determining number is 5 or more, the 6 will be raised to 7.

So, 48.6738 rounded to the nearest 0.1 is 48.7.

For the number 3.502, 0 is the determining number. Because it is in the range of 0-4, the rounding number, 5, will stay as is.

So, 3.502 rounded to the nearest 0.1 is 3.5.

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Answer: 14 / 20 = 70%

Step-by-step explanation:

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Of all sixth graders, 70% sent a text message yesterday. Ten trials of a simulation are conducted and the data are recorded belo
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Answer:

80%

Step-by-step explanation:

According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.

Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.

The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511

For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.

62072:  4 students sent the text, 1 did not

34570:  4 students sent the text, 1 did not

80983:  2 students sent the text, 3 did not

04292:  4 students sent the text, 1 did not

83150:   4 students sent the text, 1 did not

36330:  All 5 students sent the text

96268:  3 students sent the text, 2 did not

14077:   3 students sent the text, 2 did not

77985:  1 student sent the text, 4 did not

13511:    All 5 students sent the text

We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.

From the given groups, the number of groups where 3 or more students sent a text = 8

This represents our number of favorable or desired outcomes.

Total number of possible outcomes is the total number of groups = 10

Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data  the probability that 3 or more of a group of 5 students randomly selected will send a text today will be = \frac{8}{10}=0.80=80\%

Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today

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3 years ago
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Answer:

  (c)  0

Step-by-step explanation:

Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.

__

We can start with the identity ...

  cos(x) = sin(x +π/2)

Substituting the argument of the cosine function in the given expression, we have ...

  cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)

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The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...

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  cos(π/2 -θ) = -sin(θ -π) = sin(θ)

Then the sum of terms is ...

  sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0

The sum of the two terms is identically zero.

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