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3 years ago

Solve the inequalities 2(x-9)>-2

Mathematics

1 answer:

Mrrafil [7]3 years ago

3 0

Answer:

x>8

Step-by-step explanation:

2(x-9)>-2

(x-9)>-2/2 = (x-9)>-1

x>-1+9 = x>8

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Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given $f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y$

we know that $\int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1$

therefore $\int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1$

on integrating we get

c=(1/6640)

$P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy$

on doing the integration we get

=0.37349

marginal density of X is

$f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy$

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

$f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx$

on doing integration we get

$f(y)=\frac{(y+40.5)}{83}$

$P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy$

solve the above integration we get the answer

$P(X>20, 0$

solve the above integration we get the answer

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0

3 years ago

Kamoira bought 8 pizzas for $131.36. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?

Veseljchak [2.6K]

Step-by-step explanation:

so, you don't know what a division is for ?

it is to ask things like "how often does one number fit into another number", or "how big will each piece be, if I split something into a certain number of equally sized pieces ?".

this is what we need here.

8 pizzas for $131.36. and each pizza costs the same. you see how that connects to what I just described above ?

to find how much each pizza cost, we need to divide the total price by 8, to find the size (= here the price) of each of the equally big parts of the total price.

131.36 / 8 = $16.42

6 0

2 years ago

Solve the following 2 + 8 ÷ 2 x 3

mafiozo [28]

Answer:

Step-by-step explanation:

Solution,

Use the BODMAS Rule:

B = Bracket

O = Of

D = Division