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3 years ago

What are the slope and y-intercept of the graph of the given equation? y = 1.9x + 2.5

Mathematics

1 answer:

trapecia [35]3 years ago

8 0

Answer:

The slope m is 1.9 and the y-intercept b is 2.5.

Step-by-step explanation:

This is in slope-intercept form, y=mx+b, where m is slope and b is the y-intercept.

y = 1.9x + 2.5 means that m is 1.9 and b is 2.5.

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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

What is 93 times 10 to the sixth power

Rashid [163]

93000000

...........................................

8 0

3 years ago

Read 2 more answers

After reading 80% of her e-mails in her inbox, Danette still has M unread e-mails. Which of the following expressions could repr

sergey [27]

Answer:

(Choice A) 5M

Step-by-step explanation:

Let total no. of e-mails in inbox be x

Since she read 80 % of mails i.e 80 % of x

⇒ $80\% \times x$

⇒ $\frac{80}{100}\times x$

⇒ $0.8 x$

So, she read 0.8x e-mails.

So, remaining email = total e-mails - read e-mails

$=x-0.8x$

Since we are given that Danette still has M unread e-mails.

⇒ $M=x-0.8x$

⇒ $M=x(1-0.8)$

⇒ $M=x\times 0.2$

⇒ $\frac{M}{0.2}=x$

⇒ $\frac{10M}{2}=x$

⇒ $5M=x$

Thus the expression represent the number of e-mails Danette had in her inbox before she started reading is 5M.

Hence Choice A is correct.

7 0

3 years ago

There are 318 fiction books in the class library. The number of nonfiction books is 47 less than double the number of fiction bo

xxMikexx [17]

318*2-47=589 There are 589 nonfiction books in the library

4 0

3 years ago

Which is the equation in slope-intercept form for the line that passes through (3, 7) and is perpendicular to 3x-5y=8

Natalija [7]

Answer:

Step-by-step explanation:

Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.

3x-5y=8

-5y = -3x +8

y = 3/5 x - 8/5

The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.

$y-y_1=m(x-x_1)\\y-7 = -\frac{5}{3}(x-3)\\y-7=-\frac{5}{3}x + 5\\y = -\frac{5}{3}x+12$

5 0

3 years ago