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umka2103 [35]
3 years ago
15

Use the drawing tool(s) to form the correct answer on the provided number line.

Mathematics
2 answers:
blagie [28]3 years ago
5 0

Answer:

  see below

Step-by-step explanation:

Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.

Luba_88 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

In general, solutions to absolute value inequalities, as in this case, take two forms:

If | x | <a, then x<a or x> -a.

If | x |> a, then x> a or x <-a.

In this case, you have |x − 70| ≤ 4. So, you have two cases:

x − 70 ≤ 4 and x − 70 ≥ -4

Solving both equations:

x − 70 ≤ 4      

x ≤ 4 + 70

x≤ 74

and

x - 70 ≥ -4

x ≥ -4+70

x ≥ 66

It is convenient to graph both solutions, as shown in the attached image .

The intersection between both conditions is the solution to the inequality (that is, in the image it is shown as the interval painted by both colors). In this case, the solution is 66≤x≤74

This indicates that Eric can drive within this speed range.

The range of speeds Eric would not drive at under the given conditions is x≤66 and x≥74,  as shown in the other image.

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3 years ago
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A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of
Ierofanga [76]

Answer:

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.                                            

Step-by-step explanation:

Simple random sampling:

  • It is a type of probabilistic sampling.
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  • The probability of selection is equal for every observation.
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  • A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
  • Thus,the correct interpretation is given by,

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.

  • c) The simplest method of selection is used to create a representative sample.

The statement is false.

There is no pattern or technique used for selection. The selection is purely random.

  • d) Each subset of the population has an equal chance of being included in the sample.

The statement is false.

Each object of the population has an equal chance of being included in the sample. and not each subset.

  • e) Every sample of size n from the population has a proportionally weighted chance of being selected.

The given statement is false.

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2 years ago
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Answer:

Step-by-step explanation:

1. Less than

2. Greater than

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Answer:

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Step-by-step explanation:

Using Pythagoras' theorem

a^2 + b^2 = c^2 (c = hypotenuse, a and b are legs)

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a^2 = 18^2 - 12^2

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Answer

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Answer:

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Step-by-step explanation:

We are given that,

Taylor dropped a rubber ball from a height of 8 feet.

So, at time t= 0 sec, the ball is being thrown.

Now, the next events follows as below:

1. After a second, the ball hits the ground.

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3. The ball again hits the ground in the next second.

4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.

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