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3 years ago

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Which of the following are continuous variables, and which are discrete? (a) number of traffic fatalities per year in the state

of Florida continuous discrete (b) distance a golf ball travels after being hit with a driver continuous discrete (c) time required to drive from home to college on any given day continuous discrete (d) number of ships in Pearl Harbor on any given day continuous discrete (e) your weight before breakfast each morning continuous discrete

1 answer:

sukhopar [10]3 years ago

7 0

Answer:

a) Discrete

b) Continuous

c) Continuous

d) Discrete

e) Continous

Step-by-step explanation:

Continuous:

Real numbers, can be integer, decimal, etc.

Discrete:

Only integer(countable values). So can be 0,1,2...

(a) number of traffic fatalities per year in the state of Florida

You cannot have half of a traffic fatality, for example. So this is discrete

(b) distance a golf ball travels after being hit with a driver

The ball can travel 10.25m, for example, which is a decimal number. So this is continuous.

(c) time required to drive from home to college on any given day

You can take 10.5 minutes, for example, which is a decimal value. So this is continuous.

(d) number of ships in Pearl Harbor on any given day

There is no half ship, for example. So this is discrete.

(e) your weight before breakfast each morning continuous discrete

You can weigh 80.4kg, for example, which is a decimal number. So this is continuous.

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3 years ago

A train travels 75 miles in 55 minutes what is the average speed in miles per minute

nekit [7.7K]

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3 years ago

Expand (x-y)^5 using pascal’s triangle

mina [271]

Hello from MrBillDoesMath!

Answer:

x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5

Discussion:

Pascal's triangle looks like this (up to 6 rows)

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.

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3 years ago

Eric made a drawing of his rectangular bedroom with the scale 1 inch=3 feet. The drawing was 5 inches long 4 inches wide. What w

kolbaska11 [484]

Answer:

180 square feet

Step-by-step explanation:

We know that the rectangular drawing has:

5 inches long (L)
4 inches wide (W)

And we also know that:

<em>1 inch = 3 feet</em>

We will find how many feet long and wide is the actual room, by multiplying:

Long: 5 inches * 3 feet/inch = 15 feet

Wide: 4 inches * 3 feet/ inch = 12 feet

Now we want to know the area of the rectangle, and the area of the rectangle is:

<em>A = L*W</em>

<em>A = 15 feet * 12 feet</em>

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3 0

3 years ago

what are the missing numbers?

crimeas [40]

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

$y=a(b)^x$ ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

$10=a(b)^1$ ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

$20=a(b)^2$ ...(iii)

Dividing (iii) by (ii), we get

$\dfrac{20}{10}=\dfrac{a(b)^2}{ab}$

$2=b$

Putting $b=2$ in (ii), we get

$10=a(2)^1$

$\dfrac{10}{2}=a$

$5=a$

Putting $a=5,b=2$ in (i), we get

$y=5(2)^x$

The required exponential function for the given table of values is $y=5(2)^x$ . So, the missing values are 2 and x, where 2 is in the base and x is in the power.

8 0

3 years ago