Start with an equation summing all the angles in this triangle:
180 = <M + <N + <P
we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So
180 = 2<M + <N
180 = 2(3x+1) + x-11
180 = 7x - 9
x = 27
<P = 3*27+1 = 82 degrees
Using the change in base property, we have
approximately.
Answer:
<h2>1529.4 m³</h2>
Step-by-step explanation:
Volume of a pyramid can be found by using the formula
a is the area of the base
h is the height
Since the base is a square we have
We have the final answer as
<h3>1529.4 m³</h3>
Hope this helps you
Answer:
Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct
Step-by-step explanation:
The proportion from the sample of people from his party that support the law = 70%
The number the members of the politicians political party that support the law = 550 people
The proportion from the sample of people from the other party that support the law = 65%
The number the members of the politicians political party that support the law = 420 people
The confidence level of the test = 95%
The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)
Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.
