You have a bag of 26 letter tiles, each tile containing a single letter from the English alphabet. You also have a two-sided coin with heads on one side and tails on the other side. Part A: What is the probability of selecting a vowel (A, E, I, O, U) from the bag of tiles?

Part B: You select a letter tile from the bag and you flip the two-sided coin. In order to win a prize, you need to select a vowel from the letter tiles and get tails on the coin. What is the probability of you winning the prize? Be sure to show your work.

Part C: What is the probability of you selecting a vowel (A, E, I, O, U), and then, without returning it, selecting a consonant? Explain the steps to calculating this probability.

astronomers is your final answer! : )

3,000,540

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4