The population of rabbits on an island is growing exponentially. In the year 2000, the
population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.

Answer:

15.81

Step-by-step explanation:

Answer:

i think it would be A if not then B

Step-by-step explanation:

Answer:

95% confidence interval for the mean

(6.61251, 7.38749)

Step-by-step explanation:

Step:-1

Given that a random sample 'n' = 60

Given that mean of the sample x⁻ = 7.0

Given that the standard deviation of the sample (S) = 1.5

Level of significance = 0.05

Degrees of freedom = n-1 = 60-1 = 59

t₍₀.₀₅ , ₙ₋₁₎ = 2.0010

Step(ii):-

95% confidence interval for the mean is determined by

[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]

[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]

(7.0 - 0.38749 , 7.0 + 0.38749)

(6.61251 , 7.38749)

Final answer:-

95% confidence interval for the mean

(6.61251 , 7.38749)

Answer:

4p - 2

Step-by-step explanation:

2(p-1) + 2p =

2p -2 +2p =

4p - 2

Answer:

5

Step-by-step explanation:

what do you mean ?? its already written there

Answer:

The answer is 5

Step-by-step explanation:

The answer is 5 because the length across from the right angle is always the hypotenuse.

Answer: 1/4

Step-by-step explanation:

Since the rectangle is divided into 8 equal parts and two parts are shaded, this simply means that 2 out of 8 parts are shaded which is 2/8.

The fraction that's equvalent to the shaded area of the rectangle will be:

2/8 = (2 × 1) / (2 × 4) = 1/4

The equivalent fraction is 1/4

Step-by-step explanation:

if f(x)=0

then

(x+5)=0 and

(x-1)=0

solve for x

x=-5 and x=1

those are the two values where the function equals zero

Hope that helps :)

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

13

Step-by-step explanation:

8x-6 = 98 and solve from there to get 13

Answer:

moncy soup ñomi

Step-by-step explanation:

63=a-=

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

P - Parentheses

E - Exponents

M - Multiply

D - Divide

A - Add

S - Subtract

PEMDAS, is just an order of operations...

In our order above, Multiplying comes BEFORE addition OR Subtraction...

40 x 0 = 0

Then moving to the front...

40 - 0 = 40...

Lastly, 40 + 1 = 41

Answer is 41

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Answer:

a) [tex]P(x > 2) = \frac{1}{6}[/tex]

b) [tex]P(x < 5) = \frac{1}{3}[/tex]

c) 50 times

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]

Solving (a): P(x > 10)

First, list all outcomes of x

[tex]x = \{11,12\}[/tex] --- 2 outcomes

So, the probability is:

[tex]P(x > 2) = \frac{2}{12}[/tex]

Simplify

[tex]P(x > 2) = \frac{1}{6}[/tex]

Solving (b): P(x < 5)

First, list all outcomes of x

[tex]x = \{1,2,3,4\}[/tex] --- 4 outcomes

So, the probability is:

[tex]P(x < 5) = \frac{4}{12}[/tex]

Simplify

[tex]P(x < 5) = \frac{1}{3}[/tex]

Solving (c): Expected outcome of 4, 6 or 9 in a roll of 200

We have:

[tex]n = 200[/tex]

First, list all outcomes of x

[tex]x = \{4,6,9\}[/tex] --- 3 outcomes

So, the probability is:

[tex]P(x ) = \frac{3}{12}[/tex]

Simplify

[tex]P(x ) = \frac{1}{4}[/tex]

The expected number of rolls (E(x)) is calculated as:

[tex]E(x) = P(x) * n[/tex]

[tex]E(x) = \frac{1}{4} * 200[/tex]

[tex]E(x) = 50[/tex]

Answer:

2272.03

Step-by-step explanation:

Answer:

2x+4=2x+7

Step-by-step explanation:

2x+4=2x+7

    -4       -4

   2x=2x+3

  -2x -2x

     0=3

Zero does not equal to 3 so there's no solution

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Answer:

12 outcomes for 3 spins

Step-by-step explanation:

4×3=12

Answer:

popcorn is 5.5 and drink is 4

Step-by-step explanation:

It just is my g

Step-by-step explanation:

a)

Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]

b)

Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]

Answer:

25.00 < (with a line  under it) 4.50+2.50x

Step-by-step explanation:

Answer:

[tex]A=141.6\ cm^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]A=2\pi rh[/tex]

For larger cylinder, A = 236 cm² and h = 5 cm

So,

[tex]236=2\pi \times 5\times r\\\\r=\dfrac{236}{10\pi}\\\\r=7.51\ cm[/tex]

Now, Put r = 7.51 and h = 3 cm to find the surface area of the smaller cylinder.

[tex]A=2\pi \times 7.51\times 3\\\\A=141.56\ cm^2\\\\A=141.6\ cm^2[/tex]

So, the surface area of the smaller cylinder is equal to [tex]141.6\ cm^2[/tex].

Answer:

85

Step-by-step explanation:

i did it and got it right

Answer:

Recipe A

Step-by-step explanation:

Hope this helped!!!

Answer:

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Cups of flour used = 3

Rolls made = 12

Cups of flour per roll

[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]

Cups of flour used = 5

Rolls made = 24

Cups of flour per roll

[tex] \frac{5}{24} \\ = 0.20[/tex]

Cups of flour used = 11

Rolls made = 48

Cups of flour per roll

[tex] \frac{11}{48} \\ = 0.22[/tex]

[tex]0.25 > 0.22 > 0.20[/tex]

Recipe A > Recipe C > Recipe B.

✏ So, Recipe A used the most cups of flour per roll (option a).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

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Answer:

40x-100/4

-15x+6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: GE=6

Step-by-step explanation: