a poultry scientist oversees a farm where there are two breeds of chickens. The eggsproduced by those two breeds differ in size. The scientist has found that eggs from both breedshave normal distributions. The eggs from breed A have an average weight of 50 grams with astandard deviation of 4 grams. The eggs from breed B have an average weight of 63 grams witha standard deviation of 3. An egg was brought in for analysis but she did not know which breedthe egg was from. The egg in question weighed 57 grams. Based on the weight, which breed isthe egg more likely to have come from

john has 55 candy left.

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

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36

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