Answer:
Step-by-step explanation:
139 +10 = 149
149 / 8 = 18.625
round to nearest hundredth = 18
Answer:
x²+(1/x²) = 47
Step-by-step explanation:
by identity : (a+b)² = a²+b²+2ab
(x+1/x)²= x²+(1/x)²+2(x)(1/x)
(x+1/x)²= x²+(1/x²)+2....(1)
since : (x²+1)/x = 7
(x²/x) +(1/x) = 7
x + (1/x )= 7
put the value for : x +(1/x) in (1) :
49 = x²+(1/x²)+2
x²+(1/x²) = 47
Simply substitute the value of
3
given. In other words,
f
(
3
)
is the function of
f
(
x
)
, however, in this case,
x
is
3
f
(
3
)
=
3
(
3
)
−
4
Distribute
3
through the parenthesis
f
(
3
)
=
9
−
4
Simplify
f
(
3
)
=
5
The answer would be C. (12 x 5) - (s x 2) = 38.
This is because if there are 12 students with 5 pencils per student, we can say 12 x 5. Then, think of the phrase, two pencils lost per student. That would be 2s, or (s x 2). Since it’s lost, we would subtract that amount from 12 x 5.
Answer:
The answers to the questions are
(a) P = 0.0176
(b) P = 0.5
(c) P = 0.0571
Step-by-step explanation:
The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true
The p value is given by
P (
= 185 when μ = 175)
z = 
z(
= 185) = 
= 1.5811
Therefore the P ( = 185 when μ = 175) = P(z = 1.5811)
0.94295
The probability density function is
Therefore the probability is
= 0.0176
b) The type II error is given by
β = P(type II error) = P(Fail to reject the null hypothesis when it is false)
Therefore
β = P ( < 185 when μ = 185)
P
, which gives
P(z<0) and β = 0.5
(c) For true mean foam height of 195 mm we have
β = P ( < 185 when μ = 195)
and P
Which gives P(z < -1.58)
From z table the probability is β = 0.0571
