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3 years ago

What is the probability of choosing a vowel from the alphabet?

2 answers:

8 0

Probability=number of specific outcomes / number of possible outcomes...

a,e,i,o,u are the only vowels in the alphabet which has 26 letters of which 5 are vowels... so

5/26

trapecia [35]3 years ago

7 0

There are 5 vowels in the alphabet: A, E, I, O, and U.
The alphabet consists of 26 letters.

So, B , 5/26 are vowels. and would be your chance of picking one.

Hope this helps!

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10 +4m when m = -2 i really need help on this lol

Leviafan [203]

<h2>ANSWER</h2>

Step-by-step explanation:

10+4m

=> 10+4(-2)

=> 10-8

=> 2

5 0

3 years ago

Read 2 more answers

The area of the small shape is 35 square feet. The big shape is larger by a scale factor of 4/3. Find the area of the large shap

sdas [7]

Answer:

Option a) 62.2 square feet

Step-by-step explanation:

we know that

The dilation is a non-rigid transformation that produces similar figures

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the large shape

y ----> the area of the small shape

$z^{2}=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=35\ ft^2$

substitute

$(\frac{4}{3})^{2}=\frac{x}{35}$

$\frac{16}{9}=\frac{x}{35}$

solve for x

$x=\frac{16}{9}(35)=62.2\ ft^2$

4 0

3 years ago

5. Expla in why 4 is or is not a multiplicative inverse mod 10 of 7.

AnnZ [28]

Answer:

4 is not. (3 is)

Step-by-step explanation:

A number is the multiplicative inverse of 7 (mod 10) if the product mod 10 is 1.

7 × 4 mod 10 = 28 mod 10 = 8 . . . . not 1

5 0

3 years ago

Suppose that an airline quotes a flight time of 128 minutes between two cities. Furthermore, suppose that historical flight reco

ANTONII [103]

Answer:

(a) The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

(b) The value of P (129 ≤ X ≤ 146) is 0.3462.

(c) The probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

Step-by-step explanation:

The random variable X is defined as the flight time between the two cities.

Since the random variable X denotes time interval, the random variable X is continuous.

(a)

The random variable X is Uniformly distributed with parameters a = 10 minutes and b = 154 minutes.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

(b)

Compute the value of P (129 ≤ X ≤ 146) as follows:

Apply continuity correction:

P (129 ≤ X ≤ 146) = P (129 - 0.50 < X < 146 + 0.50)

= P (128.50 < X < 146.50)

$=\int\limits^{146.50}_{128.50} {\frac{1}{154-102}} \, dx$

$=\frac{1}{52}\times \int\limits^{146.50}_{128.50} {1} \, dx$

$=\frac{1}{52}\times (146.50-128.50)$

$=0.3462$

Thus, the value of P (129 ≤ X ≤ 146) is 0.3462.

(c)

It is provided that a randomly selected flight between the two cities will be at least 3 minutes late, i.e. X ≥ 128 + 3 = 131.

Compute the value of P (X ≥ 131) as follows:

Apply continuity correction:

P (X ≥ 131) = P (X > 131 + 0.50)

= P (X > 131.50)

$=\int\limits^{154}_{131.50} {\frac{1}{154-102}} \, dx$

$=\frac{1}{52}\times \int\limits^{154}_{131.50} {1} \, dx$

$=\frac{1}{52}\times (154-131.50)$

$=0.4327$

Thus, the probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

6 0

3 years ago

The ski club wants to take in at least $100 in profit for the bus to Holiday Valley. Students pay $5 to ride the bus and chapero

laiz [17]

Answer:

x + y < 20

5x + 10y ≥ 100

Step-by-step explanation:

The ski club wants at least $100

Student pays $5

Chaperone pays $10

Maximum number of seats = 20

Assumption:

Assumed number of students = x

Assumed number of chaperone = y

Equation:

Maximum number of seats = 20

⇒ x + y < 20

The club wants $100

⇒ 5x + 10y ≥ 100

4 0

3 years ago