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3 years ago

Which is the correct equation for the table below? -2 10 -4 4 -10 -14

Mathematics

2 answers:

lesya [120]3 years ago

6 0

Answer:

y=3x+16

Step-by-step explanation:

MArishka [77]3 years ago

5 0

Answer:

y=3x+16

Step-by-step explanation:

slope=(4-10)/(-4+2)=-6/-2=3

or slope=(-14-4)/(-10+4)=-18/-6=3

eq. of line is y-10=3(x+2)

or y=3x+6+10

or y=3x+16

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The worldwide number (in millions) of a particular phone sold can be approximated by the function f(x) = - 879 + 404 Inx, where

Nimfa-mama [501]

Answer:

(a) 157 million

(b) 2018

Step-by-step explanation:

(a) Since x=11 corresponds to the year 2011, we presume that x is 'years after 2000', and that for 2013, we need to use x=13.

f(13) = -879 +404·ln(13) ≈ 157.24

About 157 million phones were sold in 2013.

(b) To find the year that sales exceeded 275 million, we solve ...

f(x) = 275

-879 +404·ln(x) = 275

404·ln(x) = 1154

ln(x) = 1154/404

x = e^(1154/404) ≈ 17.399

Sales will first exceed 275 million in 2017. The first full year in which sales are over 275 million is 2018.

6 0

3 years ago

PLEASE HELP!!

ad-work [718]

Step-by-step explanation:

5^-2= 1/25 (as when taken up 25 it becomes 5^-2).
2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)
2^-4=1/16 (as when we take up 16 we get 2^-4)
5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)

Hope it helps...

3 0

3 years ago

Each one of four people will request either Coke D Let X denote the number that request Coke, where the remainder request Sprite

34kurt

Answer:

a) E(x)=2.5 V(x)=1.59

b) E(R)=17 V(R)=6.36

c) The probability that, when the four make their orders, everyone gets what they ordered is P=0.66.

Step-by-step explanation:

a) The mean E(x) can be calculated as:

$E(x)=\sum^4_{i=0} p_ix_i\\\\E(x)=0.09*0+0.15*1+0.18*2+0.33*3+0.25*4\\\\E(x)=0.00+0.15+0.36+0.99+1.00\\\\E(x)=2.5$

The variance V(x) can be calculated as:

$V(x)=\sum^4_{i=0} p_i(x_i-\bar x)^2\\\\V(x)=0.09(0-2.5)^2+0.15(1-2.5)^2+0.18(2-2.5)^2+0.33(3-2.5)^2+0.25(3-2.5)^2\\\\V(x)=0.09*6.25+0.15*2.25+0.18*0.25+0.33*0.25+0.25*2.25\\\\V(x)=0.5625+0.3375+0.045+0.0825+0.5625\\\\V(x)=1.59$

b) The revenue can be expressed as:

$R=5*x+3*(4-x)$

Then, the expected value of R canbe expressed in function of x:

$E(R)=E(5x+3(4-x))=5E(x)+3(4-E(x))\\\\E(R)=5*2.5+3(4-2.5)=12.5+4.5=17$

The expected revenue is $17.

The variance of R is

$V(R)=V(5*x+3(4-x))=V(5x+12-3x)=V(2x+12)\\\\V(R)=V(2x)+V(12)=2^2V(x)+0=4*1.59\\\\V(R)=6.36$

c) In the case there are only 3 Cokes and 3 Sprites available, the only orders that can not be fullfilled are when X=0 (they order 4 Sprites) and X=4 (they order 4 Cokes).

The probability of these events is:

$P(x=0,x=4)=P(x=0)+P(x=4)=0.09+0.25=0.34$

So, the probability of everyoned getting what they ordered is:

$P=1-P(x=0,x=4)=1-0.34=0.66$

The probability that, when the four make their orders, everyone gets what they ordered is P=0.66.

3 0

4 years ago

In addition to the information given below in the drawing, which statement is sufficient to prove triangle STW similar to triang

elena-s [515]

D

XZ : YZ = 5:8

3 * XY = 27 (9*3 = 27)

3*XZ : 3*YZ = 3*5 : 3*8

SW : TW = 15 : 24

SW = 15 and TW = 24

4 0

3 years ago

What is the derivative of x^3

wolverine [178]

The derivative here is what you get when you bring the exponent down as the coefficient (i.e. the 3) and subtract the exponent by 1. In this case, the answer will be 3x^2.

8 0

3 years ago