Answer:
the answer will be x^3 + 2x^2 + 9x
Step-by-step explanation:
as :
volume = l* w* h
= X * (X + 2) * (X + 3)
= X ^ 2 + 2 X (X + 3)
= x ^2 (X + 3) + 2x (X + 3)
= x^3 + 3x +2x ^2 + 6x
= x^3 + 2x^2 + 9x
Answer:
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject 
, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Step-by-step explanation:
The null and alternate hypothesis are:
H0:p≥0.03
Ha:p<0.03
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
0.03 is tested at the null hypothesis:
This means that 
28 out of 600 items produced by the machine were found defective.
This means that 
Value of the test-statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.
Looking at the z-table, z = 2.4 has a p-value of 0.9918.
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
There are 65 Liters in 6500 centiliters.
1 cl = 0.01 L, so 0.01 x 6500 = 65
$12 x .30= $3.60 mark up so new price was $15.60.
$15.60 x .25= $3.90 discount, so the new price with discount would be $11.70
Answer:
a) x = 1225.68
b) x = 1081.76
c) 1109.28 < x < 1198.72
Step-by-step explanation:
Given:
- Th random variable X for steer weight follows a normal distribution:
X~ N( 1154 , 86 )
Find:
a) the highest 10% of the weights?
b) the lowest 20% of the weights?
c) the middle 40% of the weights?
Solution:
a)
We will compute the corresponding Z-value for highest cut off 10%:
Z @ 0.10 = 1.28
Z = (x-u) / sd
Where,
u: Mean of the distribution.
s.d: Standard deviation of the distribution.
1.28 = (x - 1154) / 86
x = 1.28*86 + 1154
x = 1225.68
b)
We will compute the corresponding Z-value for lowest cut off 20%:
-Z @ 0.20 = -0.84
Z = (x-u) / sd
-0.84 = (x - 1154) / 86
x = -0.84*86 + 1154
x = 1081.76
c)
We will compute the corresponding Z-value for middle cut off 40%:
Z @ 0.3 = -0.52
Z @ 0.7 = 0.52
[email protected] < x < [email protected]
-.52*86 + 1154 < x < 0.52*86 + 1154
1109.28 < x < 1198.72
