Answer:
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of grabbing a nickel:
19 nickels out of 17+10+19+23 = 69 coins, so:
Probability of grabbing a penny, considering the first coin grabbed was a nickel:
17 pennies out of 68 coins. So
What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
The area for grey rectangle = (14y-5)6y
The area for white rectangle = 3y(3y+5)
S= The area for shaded rectangle = 6y(14y-5)-3y(3y+5)
S= 84
-30y-9
-15y
S=75
-45y (divide by 15)
S=5
-3y
Step-by-step explanation:
Compounded quarterly means n=4
Answer:
Step-by-step explanation:
You have an angle and 2 sides given. It just so happens that the angle is across from one of the sides. We can use the Law of Sines to find the missing angle B first.
and cross multiply to get
36 sin(132) = 70 sinB and
and
sinB=.3821887674
In order to find a missing angle you will use the 2nd button on your calculator along with the sin button. When you do that you will see
and then enter the decimal and hit "enter". You will get that the missing angle B measures 22.5 rounded to the nearest tenth.
Now that you have angles A and B, you can find C using the Triangle Angle-Sum Theorem (that says that all the angles of a triangle have to add up to equal 180).
C = 180 - 132 - 22.5 so
C = 25.5 degrees
Now we can use the Law of Sines again with angle A and side A and angle C:
and
and get that side c is 40.6
It is the third option there. Locate the third B and that's where you solution starts.