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Zanzabum
3 years ago
10

The rabbit population, y, in hundreds of rabbits, in an area x years since 1990 can be determined using this function: y = -0.1x

2 + 50. What is happening to the rabbit population? Offer a possible explanation for how the population is changing.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0
Y=-0.1x^2+50

This is a quadratic with a negative acceleration of -0.2, a velocity of -0.2x, and an initial value of 50.

The rabbit population is decreasing rapidly, perhaps due to the area in which they live being developed or by the introduction of a predator population...
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25

Step-by-step explanation:

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The mathematics department of a college has 15 male professors, 9 female professors, 6 male teaching assistants, and 12 female t
Vesnalui [34]

Given:

The number of male professors = 15.

The number of female professors = 9.

The number of male teaching assistants = 6.

The number of female teaching assistants = 12.

A person is selected randomly from the group.

Required:

We need to find the probability that the selected person is a professor or a male.

Explanation:

The total number of people in the group = 15+9+6+12 = 42

n(S) =The total number of people in the group

n(S)=42

Let A be the event that the selected person is a professor or a male.

The number of people who are professors or male = 15+9+6 = 30

n(A)= The number of people who are professors or male.

n(A)=30

Let P(A) be the probability that the selected person is a professor or a male.

P(A)=\frac{n(A)}{n(S)}P(A)=\frac{30}{42}P(A)=\frac{15}{21}=\frac{5}{7}

Final answer:

The probability that the selected person is a professor or a male is 5/7.

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1 year ago
Jonathon created a graph that shows the number of exercises he completes in his workout routine.
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3. Jonathon does 2 push-ups for every 15 crunches.

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The boxplot below shows salaries for CPAs and Actuaries in a town. 30 40 50 60 70 80 90 100 Salary (thousands of $) Actuary CPA
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In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the  box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.

For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median)  corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).

The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.

Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).

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3 years ago
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