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Tanzania [10]
3 years ago
13

The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a line

ar, exponential, or quadratic model? Write an equation to model the data.
0/89 1/55 2/34 3/21 4/13


a. quadratic; y = 0.62x2 + 89

b. exponential; y = 89 • 0.62x

c. linear; y = 0.62x + 89

d. quadratic; y = 89x2 + 0.62

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

Answer:

 

exponential; y = 89 • 0.62^x

Step-by-step explanation:

Novay_Z [31]3 years ago
3 0

Answer:

Option B exponential y = 89 · 0.62x

Step-by-step explanation:

The table shows the estimated number of deer living in a forest over a five year period.

Year            Number of deers

0                     89

1                      55

2                     34

3                     21

4                     13

Now we have to find the model representing this situation. Difference in number of deer, in the forest.

We can see there is a common ratio between each successive term r = \frac{55}{89} = 0.618

r = \frac{34}{55} = 0.618

so it can be represented by an exponential model.

y=a (r) ^{x}

y=89(62) ^{x}

Option B is the answer.

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Leni [432]
(700/1200)*100 = 58.33%, rounding to the nearest 10th of à percent we get 60%
7 0
3 years ago
The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop
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The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2=   <u>Σ(x-mean)^2</u>
                   n      

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations. 

Data: <span>90, 75, 72, 88, 85        n= 5  
</span>Mean=<u>Σx</u>
            n
Mean = <u>90+75+72+88+85 </u>  = <u>410</u> = 82
                        5                        5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two. 

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

 x      mean         x-mean        (x-mean)^2     
90       82                8                      64                       
75       82               -7                      49
72       82              -10                    100
88       82                6                       36
85       82                3                       9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

 
<u>
</u>
6 0
3 years ago
Maria releases a javelin 1.5 meters above the ground with an initial vertical velocity of 22 meters per second. How long will it
Korolek [52]
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time = distance/speed (d/m)
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3 0
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Find the final price on a $1,049 television
jasenka [17]

Answer:

$883.40

Step-by-step explanation:

Calculate the amount of money needed to pay after the discount.n

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Calculate the amount of money needed to pay after the tax.

$923.12 × 104.5% = $883.3684210526

=$883.40(rounded off to nearest cents)

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4 0
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A student is trying to solve the system of two equations given below:
k0ka [10]

Answer:

A. (y+z=6) -8

Step-by-step explanation:

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8 0
2 years ago
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