Answer:
choice 3) 11,488.21 cm³
Step-by-step explanation:
r= 28/2 = 14
volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³
Answer:
The relation between polar and Cartesian coordinates are
r2=x2+y2
tan
θ
=
y
x
,
x
=
r
cos
θ
,
y
=
r
sin
θ
r
=
8
sin
θ
∴
r
⋅
r
=
r
⋅
8
sin
θ
or
r
2
=
8
r
sin
θ
∴
x
2
+
y
2
=
8
y
or
x
2
+
y
2
−
8
y
=
0
or
x
2
+
y
2
−
8
y
+
16
=
16
or
x
2
+
(
y
−
4
)
2
=
4
2
Rectangular form is
x2+(y-4)2=42
graph{x^2+(y-4)^2=16 [-20, 20, -10, 10
Step-by-step explanation:
i created it that way so yall will take a longer time to answer
Answer:
2.964
Step-by-step explanation:
Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
Answer: 112 pieces
Step-by-step explanation:
1. Rewrite
as a decimal. Divide the numerator and the denominator of the fractional part and add it to the integer part:

2. You know that each metal rod is 15 inches long. Then, you must divide the lenght of each one by 3.6:

3. The waste is 0.16, therefore, you obtain 4 pieces from a metal rod. The total pieces obtained from 28 metal rods are:
