Answer:
0.4114
0.0006
0.1091
0.1957
Step-by-step explanation:
<u>Given: </u>
p = 0.7 n = 10
We need to determine the probabilities using table , which contains the CUMULATIVE probabilities P(X 
x).
a. The probability is given in the row with n = 10 (subsection x = 3) and in the column with p = 0.7 of table:
P(X 3) = 0.4114
b. Complement rule:
P( not A) = 1 - P(A)
Determine the probability given in the row with n = 10 (subsection x = 10) and in the column with p = 0.7 of table:
P(X 10) = 0.9994
Use the complement rule to determine the probability:
P(X > 10) = 1 - P(X 10) = 1 - 0.9994 = 0.0006
c. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 6) and in the column with p = 0.7 of table:
P(X 5) = 0.8042
P(X 6) = 0.9133
The probability at X = 6 is then the difference of the cumulative probabilities:
P(X = 6) = P(X 6) - P(X 5) = 0.9133 — 0.8042 = 0.1091
d. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 11) and in the column with p = 0.7 of table:
P(X 5) = 0.8042
P(X 11) = 0.9999
The probability at 6 X 11 is then the difference between the corresponding cumulative probabilities:
P(6 X 11) = P(X 11) - P(X 5) = 0.9999 — 0.8042 = 0.1957
I assume you meant to type x for %.
If not, basically back-substitute at the end of the solution.
F(x) = 4x - 3
Let y = F(x)
y = 4x - 3
x = 4y - 3
x - 3 = 4y
(x - 3)/4 = y
Let y = F^(-1)x
F^(-1)x = (x - 3)/4
If you want % in your answer, just replace x for % in your answer.
Answer:
20π ft
Step-by-step explanation:
Formula: C=2πr, where C is the circumference and r is the radius.
r=10 ft.
C=2*π*10
=20π ft.
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c
Answer:
20
Step-by-step explanation:
Use <u>PEMDAS</u>
P = parenthesis
E = Exponents
M = Multiplication*
D = Division*
A = Addition**
S = Subtraction**
*either can come first, it just depends which comes first in the equation.
**either can come first, it just depends which comes first in the equation.
<em>Step 1 : Write equation</em> 4( 9 × 2 ) ÷ ( 4 -1 ) - 4
<em>Step 2: Solve in parenthesis </em>4(18) ÷ (3) - 4
<em>Step 3: Solve multiplication </em> 72 ÷ 3 - 4
<em>Step 4: Solve division </em>24 - 4
<em>Step 5 : Solve subtraction</em> 20
