Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 160
The sample mean is 
The variance is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the standard deviation is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to 2.53 is
From the value obtained we see that the 
hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true
Answer:
diameter / 2 = radius
3 / 2 = 1.5
radius x radius x height x pi = volume
1.5 x 1.5 x 6 = 13.5
We don't multiply by Pi because it is already included
Hope this helps
Step-by-step explanation:
Answer:
Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.
This means that the value of k will go from 0 to 4, then all the numbers in the sum are:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
So we have 5 terms in our series.
b) to see the sign in each term, we must solve the powers, remember that:
(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
= 1 -1/2 + 1/4 - 1/8 + 1/16.
So the sign in each term of the series alternates.
Answer:
a) $654
b) 27 unidades cuadradas
c) 721
Step-by-step explanation:
a) ¿Cuál es el valor de un bolígrafo cuando la docena se compra por $ 7848?
Una docena = 12
Por eso:
12 bolígrafos = $ 7848
1 bolígrafo = $ x
Cruz multiplicar
12 bolígrafos × $ x = 1 bolígrafo × $ 7848
$ x = 1 bolígrafo × $ 7848/12
$ x = $654
b) Área de un triángulo ¿9 unidades de base y 6 unidades de altura?
Área de un triángulo =
= 1/2 × Base × Altura
1/2 × 9 × 6
= 27 unidades cuadradas
c) Cien veces la suma de 4.5 con 2.71
Esto se calcula como:
100 × (4,5 + 2,71)
= 100 × (7.21)
= 721
Answer:
If the population grows by 4% each year then
the population in any given year is 104% of
the previous year or 1.04 times as much
P(t) = P0(1.04)t
P(t) is population at time t years
P0 = initial population = 11,000
t = number of years = 15
P(15) = 11,000(1.04)15
P(15) = 19,810 people
Step-by-step explanation:
