Answer:
27 Marbles
Step-by-step explanation:
Alan first had 5 marbles, and then <em>added</em> 4 to the collection.
5 + 4 = 9
He went to the store and tripled the number of marbles he had.
9 x 3 = 27
Hence, he now has 27 marbles.
<span>The incenter is equidistant from all three triangle sides.
So, PJ = PK = PL.
PJ = 4x -8
PL = x + 7
Therefore,
</span>4x -8 = <span>x + 7
3x = 15
x = 5
So, PJ = 12
PL = 12 and
PK = 12
</span>
Whisper-20dB
Quiet Residence-30dB
Soft stereo in Residence-40dB
Average Speech-60dB
Cafeteria-80dB
Pneumatic Jackhammer-90dB
Loud crowd noise-100dB
Accelerating Bike-100dB
Rock concert-120dB
Jet Engine (75 ft away)-140dB
(1)Mode=100dB (since 100 is occurring the maximum no. of times, i.e. it has the highest frequency of 2)
(2)Mean=sum of observations/Total number of observations
=(20+30+40+60+80+90+100+100+120+140)/10
=770/10=10dB
(3)Median= 1/2[{n/2}th observation + {(n/2)+1}th observation], where, n=total no. of observations
So, 1/2[{10/2}th observation + {(10/2)+1}th observation]
=1/2[5th observation+6th observation]
=1/2[80+90] [Because:5th observation=80dB and 6th=90dB]
=1/2(170)
=85
Therefore, median=85dB
Answer:
Present value is $993.47
Step-by-step explanation:
PV = present value
Fv = future value = $1,600
Discount (i) = 10%
N = Years = 5
The formula for this is given by:
PV = FV/(1 + i)^N
PV = $1600/(1 + 0.10)^5
PV = $1600/1.1^5
PV = $1600/1.61051
PV = $993.47
Answer:
Base = 16, height 64
Step-by-step explanation:
It's a triangle so u have to multiply it with 1/2 or divide by 2, x will equal both height and base:
(1/2)4x^2 = 512
Multiply 2 to both sides
4x^2 = 1024
divide both sides by 4
x^2 = 256
= 
x = 16, base is 16 and height is 16(4) = 64
Alright this took me some time but I got it now, u might think why 16 and 64? 16 times 64 is not 512, but the equation for a triangles area is 
or b·h·1/2 , so if u plug the numbers into the equation it will equal 512:
16 · 64 · 1/2= 1024 · 1/2 = 512
