HOW MANY TEASPOONS ARE IN 15 MILLIMETERS? 1 TSP = 5ML 15ML = ?? TSP
1 answer:
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Given <span>triangle XYW with vertices X(2, b), Y(-4, -2) and W(-2, 3), the slope of a straight line is given by
Thus, the slope of XY is given by
,
Thus the vertex of X is (2, 1.36)
Therefore, the slope of WX is given by
,
and the slope of YW is given by
.
For a right triangle, two of the sides intersect each other at 90 degrees (i.e. they are perpendicular to each other).
When two lines are perpendicular the product of the slopes of the the lines is -1. i.e. the slopes of two perpendicular lines are opposite reciprocal.
Two numbers are said to be o</span><span>pposite reciprocal when one of the number is the result of taking the reciprocal of the other number and then changing the sign.</span>
Recall that the slope of WX is -0.41 and the slope of YW is 2.5, but 2.5 x (-0.41) ≈ -1.
Therefore, the <span>statement that verifies that triangle WXY is a right triangle is "</span>
<span>The slopes of WX and YW are opposite reciprocals."</span>
Thus, the slope of XY is given by
Thus the vertex of X is (2, 1.36)
Therefore, the slope of WX is given by
and the slope of YW is given by
For a right triangle, two of the sides intersect each other at 90 degrees (i.e. they are perpendicular to each other).
When two lines are perpendicular the product of the slopes of the the lines is -1. i.e. the slopes of two perpendicular lines are opposite reciprocal.
Two numbers are said to be o</span><span>pposite reciprocal when one of the number is the result of taking the reciprocal of the other number and then changing the sign.</span>
Recall that the slope of WX is -0.41 and the slope of YW is 2.5, but 2.5 x (-0.41) ≈ -1.
Therefore, the <span>statement that verifies that triangle WXY is a right triangle is "</span>
<span>The slopes of WX and YW are opposite reciprocals."</span>
Answer:
So the p value obtained was a very high value and using the significance level given we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65
Step-by-step explanation:
Data given and notation
n=180 represent the random sample taken
X=115 represent the adults with the medication was effective
estimated proportion of adults with the medication was effective
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
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 true proportion is less than 0.65.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, 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 requires 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 significance level provided . The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
So the p value obtained was a very high value and using the significance level given we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65