Some IQ tests are standardized to a Normal model N(100,18). a) What cutoff value bounds the highest 5% of all IQs? b) What cutoff value bounds the lowest 20% of the IQs? c) What cutoff values bound the middle 70% of the IQs?

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

no not all of them.

step-by-step explanation:

some of them have a square base.

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

13664

step-by-step explanation:

=cross multiply

=100 x = 13664