The lengths of a certain species of fish were found to be normally distributed. The mean length is 73 cm with a standard deviation of 8 cm. In a school of 480 of these fish, about how many would be longer than 57 cm?

251

Step-by-step explanation:

Given - Mean length of fish  = μ= 73  cm

SD  σ =8 c m

Number of fish having a length greater than 57 cm out of 480.

Find the value of  z  at  x = 57

Area between  z = − 2 and  z =  ∞

= Area between  z = − 1  and  z = 0 +

Area between  z = 0  and  z = ∞

=0.02275+0.5= 0.52275

Therefore number of fish having teeth greater than 57 cm

= 0.52275*480 = 5.2275*48 = 250.92 ≅251

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq