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3 years ago

Plz help me, brainliest to be given

Mathematics

1 answer:

Leokris [45]3 years ago

5 0

Answer:

Step-by-step explanation:

R=INTEREST X 100% / TIME X PRINCIPAL

r=40 x 100=4000

4000/500 x 2=1000

4000/1000=4%

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Translate the expression: “the difference between twice a number and 23”

kherson [118]

Answer:

23- 2x

Step-by-step explanation:

Twice a number is 2 and "x" represents "a number"

Key words: Twice, Difference (subtraction)

7 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

Tickets for seniors prom cost $25 for individual tickets and $40 for couples tickets. They collected a total of 2500 from ticket

quester [9]

Answer: 20

Step-by-step explanation:

Given

The cost of an individual ticket is $25

The cost of a couple's ticket is $40

The total sale is $2500

total ticket sold is 70

Suppose there are x individuals and y couples

$\therefore x+y=70\quad \ldots(i)\\\\25x+40y=2500\quad \ldots(ii)\\\text{Solving }(i)\ \text{and}\ (ii)\ \text{we get}$

$x=20,y=50$

So, they sold 20 tickets of the individual.

8 0

3 years ago

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which best describes why the

Musya8 [376]

the tank holds 4 gallons

3 0

3 years ago

Read 2 more answers

What is the directrix of the parabola defined by 1/4(y+3)=(x-2)^2

Charra [1.4K]

This is a parabola which opens upwards and the directrix will be of the form
y = k

the general form is

4p(y - k) = (x - h)^2 we have:-

1/4(y + 3) = (x - 2)^2

so the vertex is at (2, -3)

4p = 1/4 so p = 1/16

so the focus will be at (2 , -2 15/16)

and directrix is y = -3 1/16

4 0

3 years ago