Answer:
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis 
Step-by-step explanation:
We have the following info given from the problem:
the random sample of voters selected from the town
represent the proportion of residents favored construction
represent the value desired to test.
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis
And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:
(1)
And with the data given we have:
Answer:
Approximately 15.05 ft
Step-by-step explanation:
You need to use tangent for this question.
Since tan θ = 
to find the Opposite, we need to rearrange the equation to:
Adjacent × tan θ = Opposite.
So if you insert 62 for θ and 8 feet for Adjacent, you will get:
8 × tan(62) = Opposite.
and you will get approximately 15.05 feet for your Opposite side
Answer:
hello!!!
We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example
3*4= 4+4+4
in this same way we can say that
[-12]=(-3)+(-3)+(-3)+(-3)
also,
4(*-3)=(-12)
for the second equation we can take it same as the above one
So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)
And so now we can say
FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY
(-a) *(b) = (-b)*(a) = -(a*b)
HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT
Answer:
The probability is 
≅ 
Step-by-step explanation:
Let's analyze the question.
There are 15 students in the 8th grade.
The students are randomly placed into three different algebra classes of 5 students each.
We are looking for the probability that Trevor, Terry and Evan will be in the same algebra class.
One possible way to solve this question is to think about the product probability rule.
We can use it because we are in an equiprobable space. (And also the events are independent).
Let's set for example a class for Evan.
The probability that Evan will be in a class is 
Then for Terry there are 
places out of 
that puts Terry in the Evan's class.
We write 
Finally for Trevor there are 
places out of the remaining 
that puts Trevor in the same class with Evan and Terry.
Using the product rule we write :
The probability of the event is ≅
The scale 1:35 indicates that for every 1 meter on the scale model, there are really 35 meters in real life.
So if the scale model is 6.6 meters, you would do 35 * 6.6 to find the length in real life, which is 231 meters.
The answer is 231 meters.
