Captain emily has a ship, the h. m.s crimson lynx. the ship is four furlongs from the dread pirate ashley and her merciless band of thieves. if her ship hasn't already been hit, captain emily has probability \dfrac{1}{2} 2 1 ? of hitting the pirate ship. if her ship has been hit, captain emily will always miss. if her ship hasn't already been hit, dread pirate ashley has probability \dfrac{1}{6} 6 1 ? of hitting the captain's ship. if her ship has been hit, dread pirate ashley will always miss. if the captain and the pirate each shoot once, and the captain shoots first, what is the probability that the captain hits the pirate ship, but the pirate misses?

1/2

Step-by-step explanation:

Since the Captain shoots first, the probability of a hit on the pirate ship is 1/2. In the event of a hit, the pirate will always miss (p(miss|hit)=1), so ...

... p(hit, miss) = 1/2

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'.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.