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AlekseyPX
2 years ago
8

The mode of the raw data given as: 4, 7, 4, 3, 2, 7, 7, 6, 4, 7, 8

Mathematics
1 answer:
VLD [36.1K]2 years ago
3 0

Answer:

7, since it is the number that pops up the most in the set of data given here

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

Step-by-step explanation:

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David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will
svetlana [45]

Answer:

Part a) 160\ gallons

Part b) 480\ gallons

Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons

Part b) How many gallons of water will be in the pool after 1 hour

we know that

1 hour = 60 minutes

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons

5 0
3 years ago
Estimate what is 31.75÷8= you have to estimate tho
Afina-wow [57]
If you estimate, its around 5
5 0
3 years ago
Tuan is playing a game, but the spinner is incomplete. If the numbers in the sections of the spinner represent the probabilities
ioda

The sum of the numbers should total to 1. Let us say that x is the missing number, therefore:

x + ¼ + ¼ + 1/5 = 1

x = 1 – ¼ - ¼ - 1/5

The numbers should have similar denominator:

x = 20/20 – 5/20 – 5/20 – 4/20

x = 6/20

<span>x = 3/10</span>

8 0
3 years ago
Simplify the expression 9w+w+5w
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4 0
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Read 2 more answers
Find the nth term of this quadratic sequence<br> 3, 11, 25, 45, .
Hoochie [10]

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

To find the nth term of the quadratic sequence.

Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6(\frac{n(n+1)}{2} )

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

             = 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Learn more about Principle of mathematical induction at:

brainly.com/question/29222282

#SPJ1

6 0
1 year ago
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