Given P(X) = 0.35, P(Y) = 0.45, and P(Y|X) = 0.25, what are P(X and Y) and P(X or Y)? P(X and Y) = 0.0875, P(X or Y) = 0.7 P(X and Y) = 0.0875, P(X or Y) = 0.7125 P(X and Y) = 0.8, P(X or Y) = 0.7 P(X and Y) = 0.8, P(X or Y) = 0.7125

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17