Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis can be well written as:


Given that:
n = 200
x = 135
Alpha ∝ = 0.05 level of significance
Then;
⇒ 
= 200 × 0.6 × (1 -0.6)
= 200 × 0.6 × 0.4
= 48 ≥ 10
The sample proportion 

= 0.675
The test statistics 


Z = 2.165
The P-value = P(Z > 2.165)
= 1 - P(Z < 2.165)
From the z tables
= 1 - 0.9848
= 0.0152
Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).
Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6
Answer:
A = -12
B = -8
C = -4
Step-by-step explanation:

x = -2

A = -12
x = 0

B = -8
x = 2

C = -4
Hope this helps
Answer:
Cost =$3
Amount = 8 gallons and 17 gallons
Step-by-step explanation:
Given
24 + 51
Required
Simplify to show the cost and amount of gas bought by each individual
24 + 51
[Factorize]
3(8 + 17)
The above can't be factored any further.
Since the cost of gas for both individuals is the same, we can conclude the following.
Cost = $3
This is so because it applies to both numbers in brackets
Amount of Gas = 8 gallons and 17 gallons respectively by both individuals
Answer:
The volume of the container is<u><em> 480</em></u> in.
Step-by-step explanation:
First, lets break the container into two figures, just to make it easier to calculate the volume or area.
The first figure is has the height of 10 in, length of 8 in, and width of 5 in.
10 × 8 × 5
10 × 8 = 80
80 × 5 = 400
The volume of the first figure is <em>400</em> in.
Next, lets calculate the volume of the second figure which has the height of 5 in, length of 4 in, and the width of also 4 in.
5 × 4 × 4
5 × 4 = 20
20 × 4 = 80
The volume of the second figure is <em>80 </em>in.
Now, lets add the volumes of the two figures to find the total volume, 400 in for the first figure, and 80 in for the second figure. v
400 + 80 = 480
The total volume of the figure is<u><em> 480 </em></u>in.
Answer:
riley
Step-by-step explanation: