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2 years ago

Solve each equation 3x+2(5x-3)=7

Mathematics

1 answer:

Sloan [31]2 years ago

7 0

Answer:

Step-by-step explanation:

Step 1:

3x + 2 ( 5x - 3 ) = 7

Step 2:

3x + 10x - 6 = 7

Step 3:

13x - 6 = 7

Step 4:

13x = 13

Answer:

x = 1

Hope This Helps :)

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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

Pls help me and i will know if it is wrong

DENIUS [597]

9514 1404 393

Answer:

90 miles

Step-by-step explanation:

Let d represent the distance to Grandma's house.

The speed going was ...

speed = distance/time

speed = d/2

The speed coming home was ...

speed = d/2.25

The difference of these speeds is 5 miles per hour:

d/2 -d/2.25 = 5

2.25d -2d = 5(4.50) . . . . . multiply by 4.50

0.25d = 22.5 . . . . . . . . . . .simplify

d = 90 . . . . . . . . . . . . . . . . multiply by 4

Grandma's house is 90 miles away.

8 0

3 years ago

Evaluate 6x + 3y - 4, if x = 20 and y = 2.<br> ОА. 16<br> Ов. 20<br> Ос. 36<br> D 8

lord [1]

6x + 3y - 4

6(20)+3(2)-4

Do the brackets first.

120+6-4

120+2

122

Answer is 122

4 0

2 years ago

Read 2 more answers

mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5

statuscvo [17]

Answer:

god help you

Step-by-step explanation:

i think we should add all the ratio together.......

4 0

1 year ago

What is 2,4,6? Thank you! 40 points!

mrs_skeptik [129]

I believe 2 is 44 and the rest you add the outside

6 0

2 years ago