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DaniilM [7]
3 years ago
7

The life spans of elephants in a Columbus zoo are normally distributed. The average elephant lives 60 years: the standard deviat

ion is 2 years. Find a range of elephant's life spans which lies within 1 standard deviation, about 68% Between 58 and 62 years Between 56 and 64 years Between 54 and 66 years Between 50 and 60 years
Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

did u ever get the answer l need it


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Use the arc length formula to find the length of the curve y = 2 − x2 , 0 ≤ x ≤ 1. Check your answer by noting that the curve is
Lina20 [59]

By using the arc length formula, we will see that the length of the curve is L = 1.48

<h3>How to use the arc length formula?</h3>

Here we have the curve:

y = 2 - x^2   with 0 ≤ x ≤ 1

And we want to find the length of the curve.

The arc length formula for a curve y in the interval [x₁, x₂] is given by:

L  =\int\limits^{x_2}_{x_1} {\sqrt{1 + \frac{dy}{dx}^2} } } \, dx

For our curve, we have:

dy/dx = -2x

And the interval is [0, 1]

Replacing that we get:

L  =\int\limits^{1}_{0} {\sqrt{1 + (-2x)^2} } } \, dx\\\\L  \int\limits^{1}_{0} {\sqrt{1 + 4x^2} } } \, dx\\

This integral is not trivial, using a table you can see that this is equal to:

L = (\frac{Arsinh(2x)}{4}  + \frac{x*\sqrt{4x^2 + 1} }{2})

evaluated from x = 1 to x = 0, when we do that, we will get:

L = \frac{Arsinh(2) + 2*\sqrt{5} }{4}  = 1.48

That is the length of the curve.

If you want to learn more about curve length, you can read:

brainly.com/question/2005046

8 0
2 years ago
There are 3 consecutive integers such that the sum of the 2 smallest integers is 17 less than three times the largest. What is t
RSB [31]

Answer:

X + (X+1) +(X+2)

(X+(X+1))  = 3 *(X+2) + 17

2X +1 = 3X + 6 +17

X = -22

So the three integers are -22 -21 and -20

Double-Check *******************

(-22 -21) = 3 * (-20)

-43 = -60 +17

Step-by-step explanation:


8 0
3 years ago
Find the value of x from the figure given below:
NemiM [27]

Answer:

sinB = \frac{x}{34}=\frac{5}{17} => \frac{x}{34}=\frac{5}{17}\\\\ x= \frac{5}{17}.34  =10

Step-by-step explanation:

6 0
3 years ago
How do relational databases work mathematically?
Dmitrij [34]

Answer:

A relational database stores data in a series of tables so that the data models a mathematical theory of relations. The model allows for queries based on projection, selection, and join, among other operations, and connects the data in the tables by way of keys.

3 0
3 years ago
Read 2 more answers
Which of the following pairs of units of measurement are equivalent to each other?
evablogger [386]

Answer:

The correct options are:

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Step-by-step explanation:

1) The 1 cubic decimeter is equal to the 1 liter.

dm^3= 1 L

2) The 1 cubic centimeter is equal to the 1 milliliter.

cm^3=1 mL

3) Since,1 cubic decimeter is equal to the 1 liter.

So,dm\neq 1L

4) Since, 1 quart = 0.946353 L

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5) Since,The 1 cubic centimeter is equal to the 1 milliliter.

So, 1 millimeter ≠ 1 deciliter  

6) Since,1 gram = 0.035274 ounces

So, 1 gram ≠ 1ounce

3 0
3 years ago
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