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2 years ago

Two unique letters are chosen at random from the alphabet.

2 answers:

7 0

A - choosing letter A first

$|\Omega|=P(26,2)=\dfrac{26!}{24!}=25\cdot26\\
|A|=1\cdot25=25\\\\
P(A)=\dfrac{25}{25\cdot26}=\dfrac{1}{26}\approx0.0385$

Tamiku [17]2 years ago

4 0

Answer:

A 0.0385

Step-by-step explanation:

There are in total 26 letters in English alphabet

Two unique letters are chosen at random.

I letter can be taken from any one of the 26 hence

probability for I letter to be a out of 26 letters = 1/26

We can convert this into decimal as

Probability that the first letter chosen is A =0.0385

Option A is right answer.

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Many residents of suburban neighborhoods own more than one car but consider one of their cars to be the main family vehicle. The

horrorfan [7]

Answer:

95.4% of family vehicles is between 1 and 3 years old.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2

Standard Deviation, σ = 6 months = 0.5 year

We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(family vehicles is between 1 and 3 years old)

$P(1 \leq x \leq 3)\\\\ = P(\displaystyle\frac{1 - 2}{0.5} \leq z \leq \displaystyle\frac{3-2}{0.5}) = P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.977 -0.023 = 0.954= 95.4\%$

$P(1 \leq x \leq 3) = 95.4%$

95.4% of family vehicles is between 1 and 3 years old.

3 0

2 years ago

Fez rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 6.

Temka [501]

Answer:

The probability of getting sum of two dice is less than six

P(E) =0.25

Step-by-step explanation:

The total number of cases n(S) = 6² = 36

Let 'E' be the event of getting sum of two dice is less than six

{(1,2) , (1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)}

n(E) =9

The probability of getting sum of two dice is less than six

$P(E) = \frac{n(E)}{n(S)}$

$P(E) = \frac{9}{36} = \frac{1}{4}$

P(E) = 0.25

6 0

2 years ago

If a concrete column is 6 inches by 6 inches square and 8 ft. long, calculate its weight in Newtons, given a specific weight of

tangare [24]

<h2>Weight of column is 555.83 N</h2>

Step-by-step explanation:

Size of column = 6 inch x 6 inch x 8 ft

Size of column = 0.5 ft x 0.5 ft x 8 ft

Volume of column = 0.5 x 0.5 x 8 = 2 ft³

Specific weight of concrete = 62.4 lb/ft³

Mass = Volume x Specific weight

Mass = 2 x 62.4

Mass = 124.8 lb = 124.8 x 0.454 = 56.66 kg

Weight = 56.66 x 9.81 = 555.83 N

Weight of column is 555.83 N

7 0

2 years ago

An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for

jasenka [17]

Answer:

$2.95 x + 39.95 (12)$

Step-by-step explanation:

Given data

Charge per movie= $2.95

monthly fee= $39.95

let the number of movies be x

Hence the expression for the total is given as

$Total= 2.95(x)+39.95(12)$

5 0

2 years ago

Read 2 more answers

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.

Svet_ta [14]

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

4 0

2 years ago