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You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc

faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

4 0

3 years ago

A stock price is losing value at a rate of 4 cents every minute. After 15 minutes, the price of the stock is $10.24 (1024 cents)

Sveta_85 [38]

Jesus ew math bruh. Anyway let’s sing the campfire

Song

6 0

3 years ago

Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The syst

fredd [130]

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

where a is the coefficient of x , b is the coefficient of y and

c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

a is the coefficient of x , b is the coefficient of y and c is the

numerical term

* Lets solve the problem

∵ The system of equation is:

y = 1/3 x - 4 ⇒ (1)

3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

7 0

3 years ago

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Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 100

marissa [1.9K]

The mean is the average of the numbers.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is

100+65+120+150+90+0+x=525+x.

The number of days is 7.

Thus, the mean is

$\text{mean}=\dfrac{525+x}{7}.$

You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:

$\dfrac{525+x}{7}=100,\\ \\525+x=700,\\ \\x=700-525,\\ \\x=175.$

Answer: 175 sit-ups

5 0

3 years ago

The function, p(d)equals=1plus+startfraction d over 33 endfraction d 33, gives the pressure, in atmospheres (atm), at a dep

Gelneren [198K]

Answer:

The pressure at 50 feet is 2.51515 atm

Step-by-step explanation:

we are given equation as

$p(d)=1+\frac{d}{33}$

where

p(d) gives the pressure, in atmospheres (atm)

a depth d in the sea (d is in feet)

We are given

d=50 feet

So, we can plug d=50 and find p

$p(50)=1+\frac{50}{33}$

$p(50)=2.51515atm$

So,

The pressure at 50 feet is 2.51515 atm

7 0

3 years ago

Read 2 more answers