How many times as great as the mass of each emerald is the mass of each sapphire

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

step-by-step explanation:

there's the chart

step-by-step explanation:

98

because this is a right triangle, the rules of right-angle trigonometry apply here, namely

for an angle θ in a right-angle triangle.

clearly, it is the case that

sin(30°) = y / (34 √ 3) because opposite to 30 degrees is y and the hypotenuse is always opposite to the 90 degree angle.

solving for y, we get y = 34√3 * sin(30°). if you use a calculator or other knowledge, you find that sin(30°) = 1/2 so we get y = 34√3 * 1/2 = 17√3.

it is also the case that

cos(30°) = x / (34 √ 3), giving us x = 34√3 * cos(30°). using calculator or other methods, we find that cos(30°) = √3 / 2 so x = 34√3 * √3 / 2   = 34 * 3 / 2 = 17 * 3 = 51.

x = 51, y = 17√3.