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Evgen [1.6K]
3 years ago
5

In the equation below a is a number between 0 and 1 8 x a = b which statement about the value of b is always true

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

Given

0 \le a \le 1

8*a =b

Required

Determine the true statement about b

The question is incomplete as options are not given. However, a general explanation is as follows:

Rewrite 8*a =b

b = 8 * a

When a = 0

b = 8 * 0 = 0

When a = 1

b = 8 * 1 = 8

This means that:

For 0 \le a \le 1

Then 0 \le b \le 8

<em>This means that: b is a number between 0 and 8</em>

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C is the correct answer
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3 years ago
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Random-digit dialing is often used to select telephone survey samples. This technique randomly selects the last four digits of a
MissTica

Answer:

Non-response bias

Step-by-step explanation:

Selection bias in a survey occurs when individuals are selected in a disproportionate way such that the samples obtained do not represent the true population to be studied or interviewed. An example of a selection bias that can occur from Random-digit dialing is the non-response bias.

Participants who are to be selected for surveys must be eligible or suitable for the purpose of the experiment. If the survey is trying to measure the effect of stress on parents, there is a possibility that through random-digit dialing, homes might be called at times when parents are on a work trip. This inability to get the response of eligible subjects for the survey is a form of selection bias.  

7 0
3 years ago
The mean is 47.1 and the standard deviation is 9.5 for a population. Using the Central Limit Theorem, what is the standard devia
MaRussiya [10]

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation is 9.5 for a population.

This means that \sigma = 9.5

Sample of 60:

This means that n = 60

What is the standard deviation of the distribution of sample means for samples of size 60?

s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

4 0
3 years ago
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
professor190 [17]

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

  • a² + b² = c²
  • where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

  • 5² + 8² = 12²

Simplify.

  • 25 + 64 = 144
  • 89 = 144

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

6 0
3 years ago
18^9 ÷ 18 ^4 equivalent expression
max2010maxim [7]

Answer:

18^5

Step-by-step explanation:

18^9 ÷ 18^4

= 18 ^ (9-4)

= 18 ^ 5

8 0
3 years ago
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