3. Given AB with coordinates A(-4,5) and B(12,13). Find the horizontal distance and the vertical
1 answer:
The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
<h3>What is the distance between two points?</h3>The distance between two points is defined as the length of the line segment between two places representing their distance.
Given AB with coordinates A(-4,5) and B(12,13).
The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².
x₁ = -4, y₁ = 5
x₂ = 12, y₂ = 13
distance = √ (12 – (-4))² + (13 – 5)²
distance = √ (12 + 4)² + (8)²
distance = √ (16)² + (8)²
distance = √ (256 + 64)
distance = √320
distance = 17.88 units
The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
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Answer:
The required expression is
Step-by-step explanation:
Let the number be x
We are supposed to write the algebraic expression of given statement
Double the number = 2x
Quotient of five and two =
Now we are given that Double the sum of a double the number and quotient of five and two
So, Sum of a double the number and quotient of five and two =
So, Double the sum of a double the number and quotient of five and two =
Hence The required expression is
Answer:
a)
b)The 99% confidence interval would be given by (0.301;0.355)
Step-by-step explanation:
1) Notation and definitions
number of permanent dwellings on the entire reservation that are traditional hogans.
random sample taken
estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.
true population proportion of permanent dwellings on the entire reservation that are traditional hogans.
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Part a
The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:
Part b
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.301;0.355)