The zoo has 4 tigers and plans to adopt more tigers soon. Gabby meets with Chloe, the manager of the tiger exhibit, to discuss the tigers’ habitat. They want to make sure there is enough space for the new tigers.

The Natureland Zoo has these requirements for a tiger habitat:

The trees, feeding station, and drinking station need at least 300 square feet all together.
Each tiger needs at least 225 square feet of space.

How many square feet of space is the zoo required to have for 4 tigers? Show your work.

Answer:

82 .

Step-by-step explanation:

9x 10 = 90 then 90-8 = 82 that how many spaces are filled .

a) The cumulative distribution function F of X is: F(x) = P(X ≤ x) = 1

b) The mean E(X) is: E(X) = 0.5 hours.

c) The variance Var(X) is: the variance of X is approximately 0.0833 hours².

To find the cumulative distribution function (CDF) of X, we need to consider two cases: when the boy comes back inside before 45 minutes and when the boy is brought inside by his mother after 45 minutes.

(a) Cumulative Distribution Function (CDF) F of X:

For 0 ≤ x < 0.75 (when the boy comes back inside before 45 minutes):

Since the boy comes back inside uniformly distributed on the interval [0, 1], the CDF is simply the probability that the boy comes back inside before time x.

The probability of the boy coming back inside before x is equal to x, as it is a uniform distribution.

F(x) = P(X ≤ x) = x

For 0.75 ≤ x ≤ 1 (when the mother brings the boy inside after 45 minutes):

If the boy is not back inside at 45 minutes (0.75 hours), his mother brings him inside.

Therefore, the probability of the boy coming back inside before x in this case is 1.

F(x) = P(X ≤ x) = 1

(b) Mean (Expected Value) E(X):

The expected value of X, denoted by E(X), is the average time the boy spends outside before coming back inside.

For a uniform distribution on the interval [0, 1], the expected value is the midpoint of the interval.

Therefore, E(X) = (1 + 0) / 2 = 0.5 hours.

(c) Variance Var(X):

The variance of X, denoted by Var(X), measures the spread or variability of the random variable X around its mean.

For a uniform distribution on the interval [0, 1], the variance is given by:

Var(X) = (1² - 0²) / 12 = 1 / 12 ≈ 0.0833 hours²

So, the variance of X is approximately 0.0833 hours².

To learn more on probability click:

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Answer:

[tex] \frac{11}{8} [/tex]

Step-by-step explanation:

[tex] \frac{1 \times 8 + 3}{8} [/tex]

Answer:

11/8

Step-by-step explanation:

Answer:

[tex] - \frac{45}{4} [/tex]

Step-by-step explanation:

dont type the link he is spamming it. I dont know the answer because I cant see the small type but if you download bartleby you can get the answer by professions (10 free) no credit card in 34 minutes and this is not a advertisement btw

Answer:

B

Step-by-step explanation:

Answer:

430/ 7

Step-by-step explanation:

yess this is the correct answer

Answer:

a

Step-by-step explanation:

the other ones are incorrect

Answer:

20

Step-by-step explanation:

A coefficient is the number that is attached to the variable.

In this case, the number attached to the variable is 20.

Therefore, the coefficient is 20

hope this helps :)

Answer:

50

Step-by-step explanation:

please brainalist

Answer:

x= 60

Step-by-step explanation:

brr 180 degrees total, divided by 3x would be 60

so X=60

Geometric sequence

-5 each term is multiplied by -5

Answer:

y=-2/3x-1/3

Step-by-step explanation:

Plug in the point (-5,3)

3=-2/3(-5)+k

3=3.3333+k

k (y-intercept)=-0.33333, or -1/3

Answer:

f(x) = 2x^3 - 6x^2 - 20x + 48

Step-by-step explanation:

A polynomial with zeros a, b, c, etc., is the product of (x - a)(x - b)(x - c)...

f(x) = (x + 3)(x - 2)(x - 4)

f(x) = (x^2 + x - 6)(x - 4)

f(x) = x^3 - 4x^2 + x^2 - 4x - 6x + 24

f(x) = x^3 - 3x^2 - 10x + 24

This polynomial function has the zeros listed in the problem.

Now we need to make sure it includes the point (6, 144).

f(x) = (x + 3)(x - 2)(x - 4)

f(6) = (6 + 3)(6 - 2)(6 - 4)

f(6) = 9 * 4 * 2

f(6) = 72

The polynomial function has point (6, 72). We want it to include the point (6, 144). We multiply the function by 2.

f(x) = 2(x^3 - 3x^2 - 10x + 24)

f(x) = 2x^3 - 6x^2 - 20x + 48

Answer:

42−{(7+14)÷7}×4

42 - {21 ÷ 7} x 4

42 - 3 x 4

42 - 12

30

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

2115/45=47

Answer:

3.60m

Step-by-step explanation:

Basically if 1 bought i gallon its 3.60

2= 7.2 dollars and so forth

Answer:

(6, 3)

Step-by-step explanation:

It is hard to see the graph since it got cut, but if I look at it the two lines intersect on (6, 3) which would be your answer. Hope this helps, thank you :) !!

Answer:

vertex:(−4,−4)

y-intercept:(0,12)

roots x=−2

and x= -6

AOS:-4

Step-by-step explanation:

Answer:

X + 5 - 9

Step-by-step explanation:

Is your expression.

Answer:

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

Step-by-step explanation:

You just add up all on the left to equate that on the right

2x=3

W+1.3=2.7

3y=5.1

z+1/3=1/2

In case you have to solve:

x=3/2

W=2.4

y=1.7

z=1/6

Answer for Area :

1/24

Answer for Perimeter :

35/36

Step-by-step explanation:

To find the area it's l x w so you multipy 1/9 and 3/8 = 1/24

To find the perimeter you add all the sides together so you add 1/9 + 1/9 + 3/8 + 3/8 = 35/36

I hope this helped you!! :> Have a great rest of your day!

Answer: area 1/24 perimeter 35/36

Step-by-step explanation:

Answer:

The answer to this would be B.

Step-by-step explanation:

When finding the volume of a three-dimensional object you want to use the formula, (Length) x (Height) x (Width) = (Volume)

In this case, 6 cm is your height

3 cm is your length,

and 2 3/4 cm is your width.

When you plug in those numbers, the only equation that matches is B. 6x3x2 3/4.

Hope this helped!

4m = 12x + 40

8x + 8x + 12x + 40 + 4m = 360

28x + 40 + 12x + 40 = 360

x = 7

m = 12(7) + 40 = 124

Answer:

p=10

Step-by-step explanation:

3p+10+5p=90

8p+10=90

8p=80

p=10

Answer:

p = 5

Step-by-step explanation:

Th angles are complimentary, meaning that they equal 90° if put together.  This mean that you can set them equal to eachother.  

3p + 10 = 5p  

Subtract 3p from both sides.

10 = 2p

Divide both sides by 2.  

p = 5  

You can check you work by plugging in 5 for p.  

3(5) + 10 = 5(5)

15 + 10 = 25

25 = 25

Therefore, p = 5.  

Sorry if I'm wrong, but I hoped this helped.  Have a great day/night!  

Answer:

165438339828369373938+50

Answer:

4.9

Step-by-step explanation:

100% of 2.45 is 2.45.

We add 2.45 + 2.45 which is 4.9.

Can I get brainliest?

Answer:

19.60

Step-by-step explanation:

Answer:

a)13

b)F(x)=1/f(x) = 2/ x^2-3

c) 1/59

Answer:

y=18

Step-by-step explanation:

54 divided by 3 = 18

Hope this helps :)

(Brainliest?)

Answer:

18

Step-by-step explanation:

Divide each side by 3

54/3 = 18