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stiks02 [169]
3 years ago
11

The ratio of students that ride the bus as compared to those that walk is 10:1. Does this school have more students that ride th

e bus or walk? how so you know?
Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

  • more that ride the bus
  • 10:1 is more than 1:1

Step-by-step explanation:

riders : walkers = 10 : 1

The ratio tells you that 10 students ride the bus for every 1 student that walks. Since 10 is more than 1, more students ride the bus.

We know more students are riders, because we know that 10 is more than 1.

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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

8 0
3 years ago
Which polynomial represents the difference below (8x2+9) - (6x2+2x+2)
S_A_V [24]

Answer:

2x² - 2x + 7

Step-by-step explanation:

Given

(8x² + 9) - (6x² + 2x + 2) ← distribute by - 1

= 8x² + 9 - 6x² - 2x - 2 ← collect like terms

= (8x² - 6x²) - 2x + (9 - 2)

= 2x² - 2x + 7

8 0
3 years ago
If f(x) = 3x^2 + 10, what is f( – 7)?=
iogann1982 [59]

Answer:

f(-7) = 157

Step-by-step explanation:

3x² + 10

3(-7)² + 10

3(49) + 10

147 + 10

157

<em>good luck, i hope this helps :)</em>

8 0
2 years ago
Write the trig expression in terms of sine and cosine then simplify.
DaniilM [7]
Hello,

1) cos t* tan t=cos t* sin t/cos t =sin t (if cos t≠0)

2)cos t * cosec t =cos t /sin t =√(1-sin² t) / sin t.

7 0
3 years ago
Read 2 more answers
Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO
Snowcat [4.5K]

Answer:

The system has unique solution.

Using backward substitution we have

1. x_4=4

2.

x_3+2x_4=2\\x_3+2(4)=2\\x_3+8=2\\x_3=-6

3.

x_2+2x_3+x_4=5\\x_2+2(-6)+4=5\\x_2-12+4=5\\x_2=5+8\\x_2=13

4.

x_1+2x_2+x_4=4\\x_1+2(13)+4=4\\x_1+26+4=4\\x_1=-26

The the solution is (x_1,x_2,x_3,x_4)=(-26,13,-6,4)

5 0
3 years ago
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