Answer:
a) P(X=41)= 0.0086 = 0.86%
b) P(36≤X≤38)== 0.1215 = 12.15%
c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%
Step-by-step explanation:
if the random variable X= number of cleared murders , then X follows a binomial distribution:
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)
where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)
therefore
a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086
b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215
c) P(X≤20) = 0.000081
therefore would be unusual that fewer that 20 murders were cleared
The value of f(h(2)) =2 and h(f(16))= 14
<h3>What is function?</h3>
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters . The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved.
given:
f(x)= √x-1 , h(x)= x² + 5
Now,
f(h(2))= f( (2)² +5 )
=f(4+5)
=f(9)
=√9-1
= 3-1
=2
h(f(16)) = h( √16-1)
=h( 4-1)
=h(3)
=3² + 5
=9+5
=14
Learn more about function here:
brainly.com/question/12431044
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Answer: $96.8
Step-by-step explanation:
Formular for Compounding annually :
A =P ( 1 + r/n) ^nt
Where p is the Principal given as $80
r is the rate given as 10% = 10/100 = 0.1
n is the number of times the principal was compounded, given as 1
t is the time, given as 2 years:
Slot the values into the formula:
A= $80 ( 1 + 0.1/1) ^ (1 × 2)
A= $80 ( 1 + 0.1) ^2
A= $80 ( 1.1) ^2
A= $80 (1.21)
A= $80 x 1.21
A= $96.8
96.8 is already rounded to the nearest cent.
Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.
I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.
See picture below
Formula
V = B * H
Sub and Solve
V = 1024
r = 8
p=3.14
V = pi*r^2 * h
1024 = 3.14*8^2 * h combine the right side.
1024 = 3.14*64 *h
1024 = 200.96 * h divide by 200.96
1024/200.96 = h
You are only getting 5 inches.
None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.
Answer:
B. 1
Step-by-step explanation:
they only cross at one point... look below