Answer:
<h2>The measure of angle KJL is 40°.</h2>
Step-by-step explanation:
Givens


Notice that
, by definition sum of arcs.
Replacing given values, we have

Which means 
Notice that arc KP is the subtended arc by angle KJL.
We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

Therefore, the measure of angle KJL is 40°.
Answer:
The expected number of days until the prisoner reaches freedom is 2.8.
Step-by-step explanation:
Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.
Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.
Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.
What is the expected number of days until the prisoner reaches freedom?
We multiply the probability of each door being used by the time that it leads to the cell. So
E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8
The expected number of days until the prisoner reaches freedom is 2.8.
<span>A
bond quote of 82.25 dollars is equals to:
=> 82.25/100 = 0.8225, this is the decimal value of the given number, now,
the place value is ten thousands, thus we will multiply this by 10 000. 8 is
tenths, 2 is hundredths, 2 is thousands, and 5 is ten thousands,
=> 0.8225 x 10 000
=> 8 225 dollar.
Thus, the bond quote of 82.25 has the value of 8 225 dollars to be exact.
</span>
Answer:
n=2
Step-by-step explanation:
2000 pounds = 1 ton 600000 pounds = X tons Hence X tons = (600000 x 1) ÷ 2000 = 300 tons 3 x 10ⁿ = 300 Hence 3 x 10ⁿ = 3 x 10² Hence n= 2