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2 years ago

The population of rabbits on an island is growing exponentially. In the year 2001,

Mathematics

2 answers:

chubhunter [2.5K]2 years ago

7 0

Answer: 3273

Step-by-step explanation:

Alexxandr [17]2 years ago

6 0

I think the answer is 666.

2050-940=1110

1110/5=222

222x3=666

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Write your answer in simplest form.<br> -2/3+7/9

viktelen [127]

Answer:

1/9

Step-by-step explanation:

You combine the fractions finding the least common denominator. Once you do that, you get your answer of 1/9.

I hope this information was of any use to you.

7 0

2 years ago

Solve the system by elimination. <br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5

KengaRu [80]

-2x + 2y + 3z = 0 → 2x - 2y - 3z = 0 → 2x - 2y - 3z = 0
-2x - 1y + 1z = -3 → 2x + 1y - 1z = 3 → 2x + 1y - 1z = 3
2x + 3y + 3z = 5 → 2x + 3y + 3z = 5 -3y - 2z = -3

-2x + 2y + 3z = 0 → 2x - 2y - 3z = 0
-2x - 1y + 1z = -3 → 2x + 1y - 1z = 3 → 2x + 1y - 1z = 3
2x + 3y + 3z = 5 → 2x + 3y + 3z = 5 → 2x + 3y + 3z = 5
-2y - 4z = -2

-3y - 2z = -3 → -6y - 4z = -6
-2y - 4z = -2 → -2y - 4z = -2
-4y = -4
-4 -4
y = 1

-3y - 2z = -3
-3(1) - 2z = -3
-3 - 2z = -3
+ 3 + 3
-2z = 0
-2 -2
z = 0

-2x + 2y + 3z = 0
-2x + 2(1) + 3(0) = 0
-2x + 2 + 0 = 0
-2x + 2 = 0
- 2 - 2
-2x = -2
-2 -2
x = 1
(x, y, z) = (1, 1, 0)

8 0

2 years ago

If y = 7x − 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

BaLLatris [955]

Answer:

Correct option is C). {(0, −5), (2, 9), (−3, −26)}

Step-by-step explanation:

Given function is f(x)=7x-5.

Here, Options are given ordered pair

Let, x=0

f(x)=7x-5

f(0)=7(0)-5

f(0)=(-5)

The ordered pair is (0,-5)

Let, x=2

f(x)=7x-5

f(2)=7(2)-5

f(2)=9

The ordered pair is (2,9)

Let, x=(-3)

f(x)=7x-5

f(-3)=7(-3)-5

f(-3)=(-26)

The ordered pair is (-3,-26)

Thus, Correct option is C). {(0, −5), (2, 9), (−3, −26)}

8 0

3 years ago

Help please! Will give brainliest to best CORRECT answer! You need a ladder that will reach up a 25 foot tall house when placed

timurjin [86]

Answer:b 27 feet

Step-by-step explanation:You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house.

6 0

2 years ago

Read 2 more answers

A College Alcohol Study has interviewed random samples of students at four-year colleges. In the most recent study, 494 of 1000

Vinil7 [7]

Answer:

The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval of the difference between proportions.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.

$p_1=X_1/n_1=494/1000=0.494$

The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.

$p_2=X_2/n_2=552/1000=0.552$

The difference between proportions is (p1-p2)=-0.058.

$p_d=p_1-p_2=0.494-0.552=-0.058$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{494+552}{1000+1000}=\dfrac{1046}{2000}=0.523$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.523*0.477}{1000}+\dfrac{0.523*0.477}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.000249+0.000249}=\sqrt{0.000499}=0.022$

Then, the margin of error is:

$MOE=z \cdot s_{p1-p2}=1.96\cdot 0.022=0.0438$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.058-0.0438=-0.102\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.058+0.0438=-0.014$

The 95% confidence interval for the difference between proportions is (-0.102, -0.014).

7 0

2 years ago