1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ale4655 [162]
3 years ago
13

Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY, gets an average of 35.4 inches of rain eac

h year, with a standard deviation of 4.2 inches.
During what percentage of years does Ithaca get more than 40 inches of rain?
a. approximately 13.7%
b. approximately 10.95%
c. approximately 31.2%

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

a. approximately 13.7%

Step-by-step explanation:

Please see attachment

You might be interested in
Find the minimum and maximum of f(x,y,z)=x^2+y^2+z^2 subject to two constraints, x+2y+z=4 and x-y=8.
Alika [10]
The Lagrangian for this function and the given constraints is

L(x,y,z,\lambda_1,\lambda_2)=x^2+y^2+z^2+\lambda_1(x+2y+z-4)+\lambda_2(x-y-8)

which has partial derivatives (set equal to 0) satisfying

\begin{cases}L_x=2x+\lambda_1+\lambda_2=0\\L_y=2y+2\lambda_1-\lambda_2=0\\L_z=2z+\lambda_1=0\\L_{\lambda_1}=x+2y+z-4=0\\L_{\lambda_2}=x-y-8=0\end{cases}

This is a fairly standard linear system. Solving yields Lagrange multipliers of \lambda_1=-\dfrac{32}{11} and \lambda_2=-\dfrac{104}{11}, and at the same time we find only one critical point at (x,y,z)=\left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right).

Check the Hessian for f(x,y,z), given by

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

\mathbf H is positive definite, since \mathbf v^\top\mathbf{Hv}>0 for any vector \mathbf v=\begin{bmatrix}x&y&z\end{bmatrix}^\top, which means f(x,y,z)=x^2+y^2+z^2 attains a minimum value of \dfrac{480}{11} at \left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right). There is no maximum over the given constraints.
7 0
3 years ago
Find the three arithmetic means between -5 and -25
Katarina [22]
Wouldn't it be answer b)?
4 0
3 years ago
7 units up equation for each translation of y=|x|
ANTONII [103]

Answer:

y=IxI+7 is the answer.

Step-by-step explanation:

hope this helps

7 0
3 years ago
What is the answer ? <br> PLS
grin007 [14]

Answer:

I think a or C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How to factor that polynomial
professor190 [17]
<h3><u>(1 + 5y)(1 - 5y) is the fully factored form of this polynomial.</u></h3>

This polynomial can be factored using difference of squares.

This polynomial is in the form of a^2 - b^2 = (a + b)(a - b)

Because 1 * 1 = 1, we can use this formula to simplify this polynomial.

1 - 25y^2 = (1 + 5y)(1 - 5y)

We can use FOIL to verify this.

(1 + 5y)(1 - 5y)

1 - 5y + 5y - 25y^2

1 - 25y^2

6 0
3 years ago
Other questions:
  • The system containing the lines ___ and ____ has no solution
    6·1 answer
  • The circle graph shows the location of Oklahoma’s 77 counties in the state.
    8·2 answers
  • What <br>is 1/10 of .04​
    6·2 answers
  • Blueberries are on sale for $2.80 per pint. The regular price is $3.50 per pint. What is the percent of decrease? Select from th
    15·2 answers
  • Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other fou
    13·1 answer
  • PLEASE HELP ASAP FOR 10 POINTS
    7·1 answer
  • Whats the answer for this one plz
    9·2 answers
  • What is the greatest value 20g of flour 3 for 3.50 or 40g of flour for 2 for 9£ which is better for money
    9·1 answer
  • Can someone please help me?
    13·1 answer
  • Help picture below please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!