Answer:
Step-by-step explanation:
Answer:
Line d : y = -3x - 3
Line e : y = -3x - 2
Line f : y= -3x + 2
Step-by-step explanation:
Given that,
The slope of each line is -3.
Now,
We know that,
Equation of line is represented by y = mx + c
where m is the slope and c is the y-intercept.
Now,
Given that,
Line d goes through (0, - 3) and (- 1, 0).
So,
y-intercept of Line d is -3
∴ we get
Equation of Line d is : y = -3x -3
Now,
Given that,
Line e goes through (-1, 2) and (0, -2).
So,
y-intercept of Line e is -2
∴ we get
Equation of Line e is : y = -3x - 2
Now,
Given that,
Line f goes through (0, 2) and (1, -1).
So,
y-intercept of Line e is 2
∴ we get
Equation of Line f is : y = -3x + 2
Answer: 44 inches
Step-by-step explanation:
The 3 longest are 14.5 14.5 and 15 so the answer is adding them and 44 is the answer.
Answer:
Step-by-step explanation:
Data given and notation
n=1000 represent the random sample taken
estimated proportion of residents that favored the annexation
is the value that we want to test
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .
Calculate the statistic
Since we have all the info required we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a right tailed test the p value would be:
Answer:
18.4 cm
Step-by-step explanation:
Using Pythagoras rule:
Hypotenuse =
= 18.4 cm