What percent of scores were between 286 and 322? Round your answer to the nearest whole number.

82%

Step-by-step explanation: 68% ? of the distribution lies within one standard deviation of the mean. ? about 95% is within 2 stdv.

So add and subtract 12 to each side of the mean. This will get you the interval of 298 to 322.

286 + 12 = 298 so another standard deviation on the lower side of the interval is needed.

Subtract the 1 stdv from 2 stdv to find how much more of the data 2 stdvs includes.

95% - 68% = 27%

Divide 27% by 2 because we only need the left.

27% ?2 = 13.5%

Finally add 13.5% to 1 stdv to get the total.

13.5% + 68% = 81.5% for the interval from 286 to 322.

Rounded to 82%.

42

step-by-step explanation:

256/6=42

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.