10)
60in=60in × (1ft/12in) = 5ft
30in= 30in × (1ft/12in) = 2.5ft
12in = 12in × (1ft/12in) = 1ft
answer is = 5ft × 2.5ft× 1ft =12.5 ft^3 = a
11)
dozen = 12 hammers
12 hammers = 20 pounds
therefore 1 hammer= 20/12 = 1.6666 lb
21 hammers ×1.666 = 35 = c
12)
convert qt to gal
600 gal × 4 qt/gal = 2400 qt
2400 qt ÷ 120 qt/min
=20 min = d
13)
Carla is 12
rob is 12+5= 17
cousin is 12-7 = 5
12+17+5= 34 =a
15)
convert 60ft into yards
60 ft × 0.333 yd/ft =20 yd
diameter = 20 yd
area of circle = (pi/4)×d^2
(pi/4)×20^2= 314.16 = b
Answer: acute angle, straight line
Step-by-step explanation:
Answer:
Step-by-step explanation:
Garrett achieves a field goal is independent of each kick. Hence X no of kicks is binomial with p = 0.83, and q =0.17
No of trials 3
Hence X can take values as 0 ,1,2,3 and

, r=0,1,2,3
Using the above we obtain prob distribution as
X 0 1 2 3
P(X) 0.0049 0.0720 0.3513 0.5718
P(X>=2) =P(X=2,3,4) =0.9231
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2) Z value for company A =
Z value for company B = 
From z value probablility is more for company A as
P(Z>-2.22) >P(Z>2.89)
Answer:
23
Step-by-step explanation:
we are given that angle NRQ is 78 degrees
we can see from the figure that the sum of the given angles is angle NRQ
so
(8x + 7) + (4x - 1) = 78
12x + 6 = 78
12x = 72
x = 6
Now, we have to find angle PRQ
replacing x with 6 in the equation of angle PRQ
PRQ = 4(6) - 1
PRQ = 23
Answer:
B, C, D
Step-by-step explanation:
1, 2, 3 are all greater than 0