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3 years ago

QUESTION 6

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

The standard deviation of the following data, rounded to the nearest hundredth, is 7.55

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A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total charge was

lesantik [10]

15x+40=115
15x+40-40=115-40
15x=75
15/15 x=75/15
x= 5

6 0

3 years ago

The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10

Rama09 [41]

Answer:

a) $E(X) = 6.45$

b) $E(X^{2} )= 57.25$

c) $V(X) = 15.648$

d) E(3X + 2) = 21.35

e) $E(3X^{2} +2) = 173.75$

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) $E(X) = \sum xP(x)$

$E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45$

$E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\ E(X^{2} )= 57.25$

$V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648$

$E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35$

$E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75$

$V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832$

$E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45$

$V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648$

6 0

3 years ago

PLEASE HELP! I know the top part I just need the bottom!

Zolol [24]

slope = (y2-y1)/(x2-x1)

= (70-52)/(8-1)

= 18/7

=2.6

point slope form

y-y1 = m(x-x1)

y-52 = 2.6(x-1)

distribute

y-52 = 2.6x-2.6

add 52 to each side

y = 2.6x+49.4

y = 2.6x +49

the initial temperature is 49.4 or about 49

and it increases about 2.6 degrees each week

7 0

3 years ago

Which equation represents the line through (0,0) and (3, 4)?

Andreas93 [3]

Answer:

3-0

=4/3

<u>y-0</u> =4/3

x-0

3y-0=4x-0

3y=4x

y=4/3x

Step-by-step explanation:

7 0

3 years ago

How many x-intercepts does the graph of y = 4x^2-12x+9 have?

Marianna [84]

Answer:

(3/2,0)

Step-by-step explanation:

Substitute 0 for y and solve for x

8 0

3 years ago

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