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Leokris [45]
3 years ago
14

The number of mice tripled each year for the past 4 years in the small rural town. Which of the following characteristics best d

escribes the function?
The graph is a curved line that increases.
The graph is V-shaped the increases then decreases.
The graph is a straight line that increases.
The graph is U-shaped the increases then decreases.
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:

The graph is a curved line that increases.

Step-by-step explanation:

If the mice triple in population every year then the population is increasing an at exponential rate by multiplying the previous mouse count by 3. I have included a image of a graph that would represent this.

Thus the graph is a curved line that increases, it is not a v shape because the population will constantly increase by 3 times each year, it is not a straight line because the mice population is not increasing in a linear fashion and the population is not U shaped as the population will not decrease as long as the mice population triples every year.

Hope this helps!

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A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than
Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

                               Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

            n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( \hat p \leq 70%)

       P( \hat p \leq 70%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } } ) = P(Z \leq -1.07) = 1 - P(Z < 1.07)

                                                                       = 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

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3 years ago
What is 26,752 rounded to the nearest ten thousand​
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9x squared - 6x - 6x + 4
9x squared - 12x + 4
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3 years ago
A new shopping mall is gaining in popularity every day since it open the number of shoppers is 20% more than the numbers of shop
erastovalidia [21]

Answer: the number of shoppers on the first day is 125

Step-by-step explanation:

The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1 + 20/100 = 1.2

n = 4(first 4 days)

S4 = 671

Therefore, the expression for the first 4 days is

671 = (a × 1.2^(4) - 1)/1.2 - 1

671 = (a × 1.2^(4) - 1)/0.2

671 = 1.0736a/0.2

671 = 5.368a

a = 671/5.368

a = 125

3 0
3 years ago
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