Anna is getting married tomorrow, at an outdoor ceremony in the desert. in recent years, it has rained only 5 days each year. unfortunately, the weatherman has predicted rain for tomorrow. when it actually rains, the weatherman correctly forecasts rain 90% of the time. when it doesn’t rain, he incorrectly forecasts rain 10% of the time. what is the probability that it will rain on the day of anna’s wedding?

0.012329

Step-by-step explanation:

Given that Anna is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year.

it has rained only 5 days each year. Unfortunately, the weatherman has predicted rain for tomorrow.

Probability for rain on Anna wedding =

Probability that the weatherman forecast is correct and it rains + Prob that he incorrectly forecasts and there is no rain

=

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)