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Colt1911 [192]
3 years ago
10

HELP ME PLEASE

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

Given is a table showing the survey for preference of spring/fall by males/females

Table is as follows:

        Spring    Fall   Total

Male 26 19       45

Female 22 29     51

Total        48    48    96

To prepare two way frequency table

Males spring together = 26 hence prob = 26/96

Males fall together = 26 hence prob = 19/96

Feales spring together = 22 hence prob = 22/96

Females spring together = 29 hence prob = 29/96

              Spring    Fall        Total

Male       0.271 0.198 0.469    

Female 0.229 0.302     0.531

Total        0.500       0.500    1.00

GrogVix [38]3 years ago
7 0
     Male 0.271 0.198
Female 0.229  0.302

I think that's right because that's what my quiz said

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E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))
olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}

Then we have

\rm \triangledown T =  \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction \triangledownT. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0
1 year ago
Rewrite in rectangular form: r=5
SVETLANKA909090 [29]

Answer:

x  ^2+ y^ 2 = 25

Step-by-step explanation:

Square both sides:

r ^2 = 5^ 2

Substitute  x ^2 + y^ 2  for  r ^2 :

x ^2+ y ^2 = 5 ^2

Insert the center -0 into the x and y terms:

( x − 0 )^ 2 + ( y − 0 ) ^2 = 5 ^2

This is the standard form for a circle whose center is  ( 0, 0 )  and the radius is 5.

6 0
2 years ago
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