The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives 20.520.520, point, 5 years; the standard deviation is 3.93.93, point, 9 years. Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living between 16.616.616, point, 6 and 24.424.424, point, 4 years.

0.67894

Step-by-step explanation:

Given that :

Lifespan of zebra is normally distributed :

Mean(μ) = 20.5

Standard deviation (σ) = 3.93

Probability of Zebra living between 16. 6 to 24.4 years

Using the empirical rule :

Z = (x - μ) / σ

For : P(Z < x ) ; X = 16.6

Z = (16.6 - 20.5) / 3.93

Z = - 0.9923

P(Z < - 0.9923) = 0.16053

For : P(Z < X) ; X = 24.4

Z = (24.4 - 20.5) / 3.93

Z = 0.9923

P(Z < 0.9923) = 0.83947

Hence,

0.83947 - 0.16053 = 0.67894

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.