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3 years ago

∠ R and∠ S are complementary. If m ∠ R = 12x - 3 and m ∠ S = 7x - 2, find m ∠ R.

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

Step-by-step explanation:

<h2>Sum of two complementary angle is 90°</h2><h2 /><h2>so. </h2><h2><R+<S =90°</h2><h2>12x-3+7x-2=90°</h2><h2>19x-5=90°</h2><h2>19x=95°</h2><h2>X= 5</h2>

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Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea

lord [1]

Answer:

a) 17.5

b) 15.6

c) 13.3

d) 21.51

Step-by-step explanation:

The given function is equal to:

f(x)=kx^2

where

$\int\limits^y_0 {kx^{2} } \, =1$

where y=23

Clearing k=0.00025

a) $Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.00025x^{2} } \, dx =17.5$

b) $Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2}f(x) } \, dx-17.5^{2} =\int\limits^y_0 {x^{2} *0.00025x^{2} } \, dx -17.5^{2} =321.82-306.25=15.6$

c) The function is equal to:

f(x)=k(1+2x)

$\int\limits^y_0 {k(1+2x)} \, =1$

where y=20

k=0.0024

$Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.0024(1+2x)} \, dx =13.3$

d) $Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2} f(x)} \, dx -13.3^{2}=\int\limits^y_0 {x^{2} *0.0024(1+2x)} \, dx-13.3^{2} =198.4-176.89=21.51$

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3 years ago

How do you solve <br> B/5+9<10

belka [17]

Answer:

inequality form: b<5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Can somebody please please help me please

Viefleur [7K]

Answer: median is two, mean is two, mode is two, range is 13, the data appears to be symmetrical

Step-by-step explanation: hope this helps <3

7 0

3 years ago

In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the numb

NeTakaya

B is 2 out of 12

c is if you were talking probability then you would have put down one out of 6 because there is one 3 out of 6 sides but i believe i would expect to see two times 34 because it is two time the dice and it gives you the capability to earn three twice as much so you should see it at least 68 times

HOPE THIS HELPS

im not clear on a tho

6 0

3 years ago

How many groups of 1/5 are in 4

snow_lady [41]

Answer:

Step-by-step explanation:

To find this, we need to figure out what 1/5 is as a decimal

5/5 = 1, so 5 groups of 1/5 equals 1

Multiply this by 4, 20 groups of 1/5, or 20/5 = 4

Now we confirm this

1/5=0.2

4/0.2=20

So it is true

Hope this helps!^^

7 0

1 year ago