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Ipatiy [6.2K]
3 years ago
10

How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000

$
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

16,17,18,19

Step-by-step explanation:

one guy guessed. probably using a calculator

another guy took the 4th root of 100,000 and rounded down a number

(a third way started like this

n*(n+1)*(n+2)(n+3)=100000

You might be interested in
The average high temperature each month in a calendar year for a city in South Carolina is represented by the function: f(x)=−x2
LuckyWell [14K]

Answer:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=-7.7

Step-by-step explanation:

The average rate of change measures the average rate at which a function changes per unit time in a given interval. In another words, the average rate of change is the relationship between vertical and horizontal changes between two points of the function. So, basically if you are trying to find the average rate of change, you are trying to find the slope.

Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=m=\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1}

If x represents the months, then:

Let:

September=x_1=9\\December=x_2=12

So:

For:

f(x)=-x^2+13.3x+42

f(x_1)=f(9)=-(9)^2+13.3(9)+42=80.7\\\\f(x_2)=f(12)=-(12)^2+13.3(12)+42=57.6

Therefore:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=\frac{57.6-80.7}{12-9} =\frac{-23.1}{3} =-7.7

4 0
4 years ago
How much does each person get?
alisha [4.7K]

Answer:

Step-by-step explanation:

42-28=14

14/7=2

Everyone gets $2

7 0
4 years ago
Read 2 more answers
If the next two Junior Athletics events are sold out, the new table will look like this: Event 1 Event 2 Event 3 Event 4 Event 5
Aneli [31]

0.7 is the new probability of the event being sold out given that total number of events is 7 and 5 events are sold out. This can be obtained by using the formula for probability.

<h3>Find the new probability of the event being sold out:</h3>

Probability is the chance of occurrence of an event.

⇒ The formula for finding probability,

Probability = \frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ outcomes}

Here it is given in the question that,

  • Total number of outcomes = Total number of events = 7
  • Number of events sold out = 5
  • Number of events not sold out = 2

Therefore by using the formula of probability we get,

⇒ Probability (Junior Athletics being sold out) = \frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ outcomes}

Probability (Junior Athletics being sold out) = \frac{Number\ of\ events\ sold\ out}{Total\ number\ of\ events}

Probability (Junior Athletics being sold out) = 5/7

⇒ Probability (Junior Athletics being sold out) = 0.7

Hence 0.7 is the new probability of the event being sold out given that total number of events is 7 and 5 events are sold out.

Learn more about probability here:

brainly.com/question/10878600

#SPJ1

6 0
2 years ago
Why is the product of a rational number and an irrational number irrational?
Fittoniya [83]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
The state of New Jersey has a population of about 8.9 million and its area is about 8700 mi².
sweet [91]

Solution:

we are given that

The state of New Jersey has a population of about 8.9 million and its area is about 8700 mi².

we have been asked to find the population density of New Jersey?

As we know the population density is defined as the population per square unit of area.

Population=8.9 million=8900000

Area=8700 mi².

Hence population density can be given as

Population  \ density=\frac{8900000}{87000} \approx 1023

The population density of New Jersey 1023.


8 0
3 years ago
Read 2 more answers
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