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A box contains 40 number tiles numbered 1 to 40. If a tile is drawn at random, what is the probability that the number drawn is

BlackZzzverrR [31]

Explanation 1 P (3 or 4):

There are 40 number tiles numbered 1 to 40.

Multiple of 3 in 1 to 40 are:

There are 10 multiples till 30 (since $3 \times 10 = 30$ ) and then 33, 36, and 39 are other three multiples till 40. So there are 13 multiples of 3 from 1 to 40.

Multiples of 4 in 1 to 40 are:

There are 10 multiples till 40 (since $4 \times 10 = 40$ ) . So there are 10 multiples of 4 from 1 to 40.

Common Multiples of 3 and 4 in 1 to 40 is,

12, 28, 36, only 3

So, the probability of 3 or 4 is,

$P(\text {mult of 3})+P(\text {mult of 4}) -P(\text {mult of 3 and 4})$

$=\frac{13}{40} +\frac{10}{40} -\frac{3}{40}$

$=\frac{23}{40} -\frac{3}{40}$

$=\frac{20}{40}$

$=\frac{1}{2}$

So the probability of 3 or 4 is $\frac{1}{2}$ .

Explanation 2 P(4 or 5):

Multiples of 4 in 1 to 40 are:

There are 10 multiples till 40 (since $4 \times 10 = 40$ ) . So there are 10 multiples of 4 from 1 to 40.

Multiple of 5 in 1 to 40 are:

There are 8 multiples in 40 (since $5 \times 8 = 40$ ). So there are 8 multiples of 5 from 1 to 40.

Common Multiples of 4 and 5 in 1 to 40 is,

20 and 40 only 2

So, the probability of 4 or 5 is,

$P(\text {mult of 4})+P(\text {mult of 5}) -P(\text {mult of 4 and 5})$

$=\frac{10}{40} +\frac{8}{40} -\frac{2}{40}$

$=\frac{18}{40} -\frac{2}{40}$

$=\frac{16}{40}$

$=\frac{2}{5}$

So the probability of 4 or 5 is $\frac{2}{5}$ .

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4 years ago

I have increased the amplitude of a wave, does that make it louder or higher pitched?

Debora [2.8K]

If it is increased, then it would be louder.

4 0

4 years ago

Read 2 more answers

Many puncture wounds, such as bites from domestic animals, wild animals and stings from marine life, such as stingrays, require

Alik [6]

Wounds, such as bites from domestic animals, wild animals and stings from marine life, such as stingrays, require professional medical attention as soon as possible to avert a potentially fatal infection of the central nervous system therefore the infection is called anaphylaxis and is denoted as option D.

<h3>What is Anaphylaxis?</h3>

This is referred to as a severe, potentially life-threatening allergic reaction and is caused by the exposure of the body to allergens.

These allergens may arise from various types of incidents such as bites from domestic animals, wild animals and stings from marine life etc and needs to be treated immediately in other to prevent complications.

Read more about Anaphylaxis here brainly.com/question/13137912

#SPJ1

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1 year ago

A company profit of $20,000 decreases by 13.4% each year.

Vlada [557]

Answer: Her return on investment is 20%

2. $40,000

Explanation:

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2 years ago

Use the sample data and confidence level given below to complete parts a through d.

4vir4ik [10]

Using the information given and the z-distribution, it is found that:

a) The point estimate of the population proportion is 0.5544.

b) The margin of error is: 0.0320.

c) The interval is: (0.5224, 0.5864).

d) The interpretation of the interval is: we are 95% sure that the true population proportion is between 0.5224 and 0.5864.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which the variables used to calculated these bounds are listed as follows:

$\pi$ is the point estimate of the population proportion.

z is the critical value.

n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.