The sides of a triangle measure 2.24 inches, 3.56 inches, and 4.50 inches. What is the perimeter of this triangle? Report the an
2 answers:
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Answer:
0
Step-by-step explanation:
Given the points J (1,-10) and K (7, 2)
From the section formula
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
30 ounces of the coffee John likes consists of
ounces of water
ounces of cocoa
To this mixture we're adding ounces of water, so that the new mix has a total volume of
ounces and matches the composition of the coffee Lily likes. This means it would consist of
ounces of water
ounces of cocoa (same amount of cocoa as before because pure water is being added)
Solve for :
###
Just to confirm: the new mixture consists of
ounces of water
ounces of cocoa
giving a total volume of ounces of coffee, and
, as required.
Answer:
The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.
Step-by-step explanation:
Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.
x = 1304, n = 1304 + 5689 = 6993
The level of significance = 0.01
The sample proportion of pump which is not pumping accurately can be calculated as,
The claim is that the industry representative less than 20% of the pumps are inaccurate.
The hypothesis can be constructed as:
H0: p = 0.20
H1: p < 0.20
The one-sample proportion Z test will be used.
The test statistic value can be obtained as: