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3 years ago

State whether the data described below are discrete or continuous, and explain why.

Mathematics

1 answer:

Orlov [11]3 years ago

4 0

Answer:

The correct answer:

The data are continuous because the data can take on any value in an interval. (A)

Step-by-step explanation:

There are two categories of data:

Discrete data: These are data that have specific values that they can take on. There are limits to what values can be assigned to such categories. for example, The number of countries in a continent, there can either be 15 countries, 50 countries 30 countries, etc. There is not a possibility of having 40.56 countries on this kind of list. hence it is a discrete dataset.

Continuous data are data that can take on any value within an interval or on a particular scale of measurement. In this example, the height of the elephant in meters can be 1.5m, 2m, 1.06m, etc. There is no limit to the possibility of the height of an elephant on a meter scale.

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The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of batt

slavikrds [6]

Answer:

0.0548

Step-by-step explanation:

The distribution of life span for a certain type of battery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour.

To find the the probability that a selected battery will have a life span of at most 2.1 hours, we need to first determine the z-score for x=2.1 hours using

$z = \frac{x - \mu}{ \sigma}$

We substitute the values to get:

$z = \frac{2.1 - 2.5}{0.25} = - 1.6$

We read read -1.6 from the standard normal distribution table to get:

P(X≤2.1)=0.0548

7 0

3 years ago

A school held a kiddie carnival to raise PTA. Admission for adults was $8, and admission for children was $5. In the end, 87 peo

andrezito [222]

Answer: 58

Step By Step Explanation: it’s pretty simple all you have to do is take 468 and divide it by 8 and you if you get a decimal such as 48.5 it’s just the first numbers before the decimal

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2 years ago

A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ar

kiruha [24]

Answer:

The pool can contain 4521.6 gallons of water.

Step-by-step explanation:

Given:

The diameter of the cylindrical swimming pool = 16 feet.

And the height of the cylindrical swimming pool = 3 feet.

(1 ft³ = 7.5 gallons)

Now, to find the gallons of water the pool can contain.

So, we find the radius first:

Radius (r) = $\frac{Diameter}{2}$ = $\frac{16}{2} =8\ feet.$

Height (h) = 3 feet.

Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):

$Volume=\pi r^2h$

$Volume=3.14\times 8^2\times 3$

$Volume=3.14\times 64\times 3$

$Volume=602.88\ feet^3.$

Thus, getting the volume of pool 602.88 feet³.

As, given 1 ft³ = 7.5 gallons.

Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:

$602.88\times 7.5$

$=4521.6\ gallons.$

Therefore, the pool can contain 4521.6 gallons of water.

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3 years ago

Please I need this before 12pm

luda_lava [24]

Answer:

The required formula is:

$\ a_{n}=a_{1}+(n-1)d$

Step-by-step explanation:

The total number of squares of the the first term = 4

The total number of squares of the the second term = 7

The total number of squares of the the third term = 10

so,

$a_1=4$

$a_2=7$

$a_3=10$

Finding the common difference d

$d=a_3-a_2=10-7=3$

$d=a_2-a_1=7-4=3$

As the common difference 'd' is same, it means the sequence is in arithmetic.

If the initial term of an arithmetic progression is $a_{1}$ and the common difference of successive members is d, then the nth term of the sequence $(a_n)$ is given by:

$\ a_{n}=a_{1}+(n-1)d$

Therefore, the required formula is:

$\ a_{n}=a_{1}+(n-1)d$

3 0

3 years ago

You and your friend caught 36 sunfish in lake Okeechobee the number y of sunfish by your friend is 8 more than the number x caug

kotykmax [81]

8x+x=36
9×=36
x=4
why 20 characters

4 0

3 years ago