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Bogdan [553]
3 years ago
7

Select the solutions to the system of equations below? Not sure if I have this right. Thanks.

Mathematics
2 answers:
Igoryamba3 years ago
5 0
(2,0) and (8,18) are both correct answers. I checked all of the other solutions but found that they were all incorrect.


GarryVolchara [31]3 years ago
4 0
The two options you picked are indeed correct.
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A nonnative fern species is introduced into an area and quickly begins to spread. The number of plants can be modeled by
ivolga24 [154]

Based on the information, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

<h3>How to complete the information?</h3>

The given parameters from the question are:

P(n) = 1200(1.68)^n

Where

n represent the number of months

An exponential growth function is represented as:

P(n) = a * (1 + r)^n

Where

a represents the initial value

r represents the rate

By comparison, we have

a = 1200

1 + r = 1.68

This gives

r = 0.68 = 68%

Hence, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

Read more about exponential growth function at:

brainly.com/question/2456547

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3 0
2 years ago
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde
n200080 [17]

Answer:

(a)

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

(b)

P(3 \le x \le 6) = 0.30

P(4 \le x)=0.60

Step-by-step explanation:

Given

F(x) = \left[\begin{array}{ccc}0& x

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

The calculation is as follows:

0.30 - 0 = 0.30

0.40 - 0.30 = 0.10

0.45 - 0.40 = 0.05

0.60 - 0.45 = 0.15

1 - 0.60 = 0.40

The x values are gotten by considering where the equality sign is in each range.

1 \le x < 3 means x = 1

3 \le x < 4 means x = 3

4 \le x < 6 means x=4

6 \le x < 12 means x = 6

12 \le x means x = 12

Solving (b):

(i)\ P(3 \le x \le 6)

This is calculated as:

P(3 \le x \le 6) = F(6) - F(3-)

From the given function

F(6)= 0.60

F(3-) = F(1) = 0.30

So:

P(3 \le x \le 6) = 0.60 - 0.30

P(3 \le x \le 6) = 0.30

(ii)\ P(4 \le x)

This is calculated as:

P(4 \le x)=1 - F(4-)

P(4 \le x)=1 - F(3)

P(4 \le x)=1 - 0.40

P(4 \le x)=0.60

8 0
3 years ago
Find the perimeter of the kite​
Vilka [71]

the perimeter of the kite:

20+20+33+33=106mm

4 0
3 years ago
Read 2 more answers
Chelsea needs to take a taxi home and lives 7 miles away. The taxi company charges $4 plus $1.50 per mile. How much will she pay
Elza [17]
$14.50 because your equation would be 4+1.50(7)=$14.50.
6 0
3 years ago
elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.” which variable expressions could
antiseptic1488 [7]
One-fourth of a number

1/4n and n/4
5 0
3 years ago
Read 2 more answers
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