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hram777 [196]
3 years ago
8

. Many savanna animals, like elephants and rhinoceroses,

Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0
Answer: Migrate

Explanation: I’m confused on the question but if animals were searching for food or water they would migrate because none of the others make sense with that question. To preserve is to protect and save. To evolve is to develop. To adapt is to become adjusted to new setting or conditions, and To migrate is to move from one place to another specifically animals. So that’s why it’s your answer.

I HOPE THIS HELPS IF NOT FEEL FREE TO COMMENT AND TELL ME SO
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Select the greater number.<br><br> 13^2 or 15^2<br><br> I said 15^2
abruzzese [7]

Answer:

its 15^2

Step-by-step explanation:

its 15^2 because it =225 and 13^2 is 169

give brainliest please

4 0
3 years ago
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According to an​ airline, flights on a certain route are on time 85​% of the time. Suppose 17 flights are randomly selected and
Studentka2010 [4]

Answer:

a:  It is binomial because it is either on time, or it's not. There are only 2 choices

b:  0.0668

c:  0.0319

d:  0.9681

e:  0.097

Step-by-step explanation:

The formula (nCr)(p^r)(q^(n-r)) will tell us the probability of binomial events occuring.  n is the population, r is the desired number of chosen outcomes, p is the probability of success, and q is the probability of failure. nCr tells us how many different ways we can choose r items from a total of n outcomes

Here, n = 17, p = 0.85, q = 0.15 and r depends on the question.

b.  r = 12, plug in the values into the formula...

(17C12)(0.85^12)(0.15^5) = 0.0668

c.  Use the compliment: the probability of fewer than 12 means 1 - P(12 or more), so 1 - (the sum of the probabilities or 12, 13, 14, 15, 16, or 17 flights being on time).  This will save some time when calculating...we have

1 - [ (17C12)(0.85^12)(0.15^5) + (17C13)(0.85^13)(0.15^4) + (17C14)(0.85^14)(0.15^3) + (17C15)(0.85^15)(0.15^2) + (17C16)(0.85^16)(0.15^1) + (17C17)(0.85^17)(0.15^0) ]

= 1 - 0.9681 =  0.0319

d:  this is what we just calculated before subtracting from 1 in the last problem, 0.9681

e.  This is the probability of 10, 11, or 12 flights being on time

(17C10)(0.85^10)(0.15^7) + (17C11)(0.85^11)(0.15^6) + (17C12)(0.85^12)(0.15^5)

= 0.97

3 0
4 years ago
A piece of cardboard measures 10 in. by 15 in. Two equal squares are removed from the corners of a 10-in. side as shown in the f
ella [17]

Answer:

V(x) = 66.02\ \text{in}^3 \ \vert \ _x_=_1_._9_6

Step-by-step explanation:

<h2>Part (a)</h2>

The volume of a rectangular prism is found using the formula: V = lwh.

In order to write a formula in terms of the variable x, we need to write expressions for the length, width, and height of the rectangle.

We can say the length is the bottom of the base of the prism. To find this value, we can subtract x and x from 15 and divide this by 2, since there are two equal rectangles (base and lid).

  • Length: \frac{15-2x}{2} =7.5-x

We can say the width is the side of the base of the prism. To find this value, we can subtract 2x from 10.

  • Width: 10-2x

The height of the prism can be x, which is the labeled length of the rectangle next to the base and lid.

  • Height: x

Now we are able to write a formula for volume in terms of x.

  • V(x)=(7.5-x)(10-2x)(x)
  • V(x)=x(75-25x+2x^2)
  • V(x)=75x-25x^2+2x^3
<h2>Part (b)</h2>

The domain of the volume is where x > 0, 2x < 10, and 2x < 15.

This is because our expressions for length (\frac{15-2x}{2}), width (10-2x), and height (x) cannot go below 0, because you cannot have a negative value for measurement - realistically.

Therefore, if we take into account all of these restrictions on x, the domain is where 0 < x < 5.

x cannot be > 5 since that would not satisfy 2x < 10.

The domain of V for this problem situation is D: (0, 5).

<h2>Part (c) </h2>

In order to find the maximum volume of the rectangular prism using our formula we derived, we can use the idea of optimization in calculus.

Start by taking the derivative of V(x).

  • V'(x)=75-50x+6x^2

Set the derivative equal to 0. This gives us the critical point(s) in order to determine the extreme values of the function, aka where the max and min occur.

  • 0=75-50x+6x^2
  • 0=6x^2-50x+75

Solve for x by using the quadratic formula.

  • x=\frac{-(-50)\pm\sqrt{(-50)^2-4(6)(75)} }{2(6)}
  • x=\frac{50\pm\sqrt{2500-1800}}{12}
  • x=\frac{50\pm\sqrt{700} }{12}

Input this into your calculator and you should get:

  • x=6.37, \ 1.96

We are going to use x = 1.96 since 6.37 is NOT in the domain of V(x).

  • \boxed{x=1.96}

Now, since this value of x is going to give the maximum volume of this rectangular prism, or cardboard box, we can plug it back into the V(x) equation for volume to determine the maximum volume of the box.

  • V(1.96)=75(1.96)-25(1.96)^2+2(1.96)^3
  • V(1.96) = 66.02\ \text{in}^3 \ \vert \ _x_=_1_._9_6

The maximum volume of the cardboard box is 66.02 in³ and the value of x that gives this is 1.96.

3 0
3 years ago
I NEED HELP FAST PLZ! I don’t get the question... plz help as soon as u see this.. thank u
ra1l [238]
For this kind of questions, we need to check the problem carefully...

So there are 45 pupils all in all, and 9 of them gave their sweets away... Therefore, the rest of pupils would be 45-9= 36.

These 36 pupils then got 2 more sweets than they originally have. We can then set x as the number of candies they originally got.

We will then create an equality, since the total number of candies is the same in the 2 scenarios: a) all 45 pupils have candies b) 36 pupils get 2 more

45x = 36(x+2)
45x = 36x + 72
45x - 36x = 72
9x = 72
x = 8 candies

Total number of candies would then be 45x which is 45(8) = 360 candies.
6 0
4 years ago
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: David has saved $35 of the $140 he needs to purchase a new
olga55 [171]

David would have to save for 7 weeks in order to have enough money for his bike.

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