132=3x+x
132=4x
x=33
The length of the shorter piece is 33 inches
Answer:
width =5.5ft
length =18
Step-by-step explanation:
w=x
L=2x+7
area=w*L
99 = x(2x+7)
2x(x+9)-11(x+9)=0
(2x-11)(x+9)=0
2x-11=0
2x=11
x=11/2
x=5.5
L=2x+7=2*5.5+7=11+7=18
Answer:
There are 8 planets in our solar system, not counting Pluto, a dwarf planet.
Answer:
n = 6
x = 3
p = 0.32
q = 0.68
Step-by-step explanation:
Given:
32% are comfortable having drones deliver their purchases.
Suppose we are to find the probability that when 6 consumers are randomly selected, exactly 3 of them are comfortable with delivery by drones.
Required:
Find n, x, p, and q.
i) n represents the sample size. Here 6 consumers are selected randomly, therefore the sample size here is 6.
Thus, n = 6
ii) x represents the sample mean or number of successes. Since 3 consumers out of the selected 6 are comfortable with delivery by drones, the sample mean here is 3.
Thus, x = 3
iii) p represents population proportion or probability of success. Here population proportion(success probability) is 32% ≈ 0.32.
Thus, p = 0.32
iv) q represents probability of failure. To find probability of failure, use the formula:
1 - p
Thus,
1 - 0.32 = 0.68
q = 0.68
Answer:
option D
4998 J
Step-by-step explanation:
Given in the question that,
mass of the diver = 68 kg
distance of the diver from the surface of a pool = 7.5 m
The gravitational potential energy of an object is given by
GPE = m(g)(h)
here,
<em> m is the mass of the diver</em>
<em> g is the acceleration due to gravity = 9.81m/s²</em>
<em> h is the height from the surface</em>
<em />
Plug values in the formula to calculate GPE
GPE = 68(9.8)(7.5)
= 4998 J
Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is 4998 J
