Answer:
26; the cheetah's rate in miles per hour
Step-by-step explanation:
Y + R + V = 42
but 4 YEARS AGO : (R-4) +(V-4) = Y
Replace Y in the 1st equation by: (R-4) +(V-4)
(R-4) +(V-4) + R + V = 42
2R - 2V - 8 = 42; 2R -2V = 50, or R+V=25
IF R+V =25 AND Y + R +V = 42, then Y + 25 = 42 and Y =17
Step-by-step explanation:
(a)
the probability of parcels weighing 35oz or less is
0.841
the probability of parcels weighing 14oz or less is
0.023
the probability of parcels weighing between 14 and 35oz is the probabilty of 35oz minus the probability of 14oz
0.841 - 0.023 = 0.818
the percentage is the probability × 100 = 81.8%
(b)
the probability of parcels weighing more than 49oz is 1 minus the probability to weigh less than 49oz.
the probability to weigh less than 49oz is
0.99865
so, the probability to weigh more than 49oz is
1 - 0.99865 = 0.00135
the percentage is again probability×100 = 0.14%
Answer:
1. 9/25 units^2
2. s = 1/4 unit
3. = 8/27 units^3
4. s = 3/4 unit
Step-by-step explanation:
1. The area of a square is A=s^2
A = (3/5)^2
= (3/5) *(3/5)
= 9/25 units^2
2. The area of a square is A=s^2
1/16 = s^2
Take the square root of each side
sqrt(1/16) = sqrt(s^2)
1/4 = s
s = 1/4 unit
3. The volume of a cube is V = s^3
V = (2/3)^3
= (2/3) (2/3) (2/3)
= 8/27 units^3
4.The volume of a cube is V = s^3
27/64 = s^3
Take the cube root of each side
(27/64)^(1/3) = (s^3)^(1/3)
3/4 = s
s = 3/4 unit
Answer:
- 102 + (3x +2) = 180 . . . . equation to solve
- x = 25 1/3 . . . . . . . . . . . . value of x
Step-by-step explanation:
It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.
Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.
102 + (3x +2) = 180 . . . equation used to solve for x
3x = 76 . . . . . . . . . . . . . subtract 104
x = 76/3 . . . . . . . . . . . . divide by 3
x = 25 1/3 . . . the value of x
