0,4 5,3 ,1 reflected over the x axis

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable

Deffense [45]

Answer:

C. The random variable is discrete. The possible values are x= 0, 1, 2... 100

C. The random variable is continuous. The possible values are a > 0.

Step-by-step explanation:

Here is the complete question :

Determine whether the random, variable is discrete or continuous.

In each case, state the possible values of the random variable.

(a) The number of people in a restaurant that has a capacity of 100

(b) The square footage of a house.

(a) Is the number of people in a restaurant that has a capacity of 100 discrete or continuous?

A. The random variable is discrete. The possible values are 0≤x≤ 100.

B. The random variable is continuous. The possible values are 0≤x≤ 100.

C. The random variable is discrete. The possible values are x= 0, 1, 2... 100

D. The random variable is continuous. The possible values are x= 0, 1, 2... 100

b) Is the square footage of a house discrete or continuous?

A. The random variable is discrete. the possible values are a > 0

B. The random variable is discrete. The possible values are a = 1, 2, 3...

C. The random variable is continuous. The possible values are a > 0.

D. The random variable is continuous. The possible values are a = 1,2, 3,

A discrete variable is a variable that can be counted. It has a finite amount of values. The number of people in the restaurant is finite. It cannot exceed 100. At any point in time when you count the number of people in the restaurant and it would be between 0 - 100

A continuous variable has an infinite amount of values it can take on. The square footage of a house can be of any size. there is no limit to the size of a house. it can be as small or big as the architect's imagination allows.

8 0

3 years ago

In 2002, Tim was twice as old as Sue. In 1997 the sum of their ages was 32. In what year will Sue's age be three-fourths Tim's a

xxMikexx [17]

Answer:

Year 2030.

Step-by-step explanation

In 1997, Let Tim's age = X years

In 1997, Let Sue's age = Y years

After 5 years in 2002, Tim's age = (X+ 5) years

After 5 years in 2002, Sue's age = (Y + 5) years

Now, According to question,

X + Y = 32 (sum of their ages) .......(1)

Y = 32 - X

(X + 5) = 2 (Y + 5) .......(2)

Substituting the value of Y in (2)

X + 5 = 2 (32 - X + 5)

X + 5 = 2 (37 - X )

X + 5 = 74 - 2X

3X = 69

X = 69/3 = 23

Now ∵ Y = 32 - X and X = 23

∴ Y = 32 - 23 = 9

So, In 1997, Tim's age = 23 years and Sue's age = 9 years.

Let the year in which Sue's age will be three-fourth times of Tim's age be t.

Sue's age after t years = (9 + t) years.

Tim's age after t years = (23 + t) years

According to question,

$(9 + t) = \frac{3}{4} \times(23 + t)$

$4 (9 + t) = 3 (23 + t)$

$36 + 4t = 69 + 3t$

$4t - 3t = 69 - 36$

$t = 33$

The Year in which Sue's age will be three-fourth times of Tim's age is:

= (1997 + 33) = 2030.

4 0

3 years ago

Courtney has baked some cookies for her friends. On the platter, there are 16 oatmeal cookies, 12 peanut butter cookies, and

inessss [21]

Answer:

The answer would be OA. PO and G) = 0.67

6 0

3 years ago

The full screen guys

Semmy [17]

Answer:

(-2 2/3,0)

(0,2)

Step-by-step explanation:

Just did it

6 0

3 years ago

Read 2 more answers

Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) mi

makvit [3.9K]

The extraneous solution of the logarithmic problem $\rm log_3(18x^3)-log_3(2x) = log_3 144$ is -4.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

$\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}$

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

brainly.com/question/7302008

8 0

2 years ago

Read 2 more answers