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jenyasd209 [6]
3 years ago
10

A whole number from 1 to 15 inclusive is picked at random.

Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

<u></u>

  • <u>a) 3/7</u>
  • <u>b) 3/5</u>

Explanation:

The figure attached shows the <em>Venn diagram </em>for the given sets.

<em />

<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>

<em />

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

  • 3/7

<em><u /></em>

<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:

  • 3/5

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A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,
natka813 [3]

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean :  \mu=4000

Sample size : n= 100

Sample mean : \overline[x}=4500

Standard deviation: s=400

The value of test-statistic is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5

Hence, the value of the test statistic for this problem is 12.5.

5 0
3 years ago
An object weighs 1 pound on earth weighs about 1/15 pounds on Pluto. If a man weighs 240 pounds on earth how many pounds would h
Vinil7 [7]

Answer:

16 I believe. 240 divided by 15 is 16.

7 0
3 years ago
(b) About what percentage of the states (out of 51) seem to have close to 800 licensed drivers per 1000 residents? (Round your a
Rina8888 [55]
This question uses a dotplot graph from which you have to extract the information.

I have attached the dotplot graph in a pdf file. You can open the file to see the graph if you do not have it.

The graph shows with dots (they use this mark +) the 51 states. Every dot means that one state has the number of license drivers per 1000 residents given by the line. For example, you can see that just above the mark of 700 therer are two dots, meaning that two states have 700 licensed drivers per 1000 residents.

Now you can see that there are 5 dots "close" the 800 mark.

That means that 5 out of 51 states "seem to have close to 800 licensed drivers per 1000 residents".

The percentage is calculated as [5/51]*100 = 9.804 %, which rounded to one decimal place is 9.8%.

Answer: 9.8%

 
Download pdf
7 0
3 years ago
Which difference is closest to 12?<br> A. 89−1112 <br> B. 67−19 <br> C. 1516−38 <br> D. 35−611
SSSSS [86.1K]

Answer:

b

The rest are at least 500 numbers away from 12

Step-by-step explanation:

3 0
3 years ago
How many different triangles can be constructed using angle measurements 81 52 and 47? I need the answer really fast and like ri
solniwko [45]
The options are:
A) exactly one triangle;
B) no triangles;
<span>C) more than one triangle.</span>

First thing, let's see if these angles can make a triangle:
(81 + 52 + 47) = 180

We know that the sum of the inner angles of a triangle must equal 180°, therefore yes, they can be angles of a triangle.

With only the measure of the angles and nothing about the sides, we can construct as many triangles as we want: try, indeed, to construct a triangle with given angles bus sides of your choice; then, double the sides. You will get a triangle that is twice the size, but the angles remained the same.

Hence, the correct answer is C) more than one triangle.


7 0
3 years ago
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