Answer: -43.82
Step-by-step explanation:
Answer:
1. -18x¹¹
2. 3n⁷
Step-by-step explanation:
For these problems, there are two things you need to worry about: negative signs and exponents.
1. Let's look at the signs first. There is only one value with a negative sign, meaning that the negative sign will stay.
When multiplying with exponents, you have to add up the exponents. Don't forget the numerical coefficients.
-3x² · 3x · 2x³ · x⁵ = -18x¹¹
2. There are two negative signs in this probem, meaning that they will cancel out. Multiply the rest like we did in the first problem.
3n² · -n² · -n³ = 3n⁷
The minutes it takes him to run 10.5 miles is 180 minutes
<h3>How many minutes did it take him to run 10.5 miles?</h3>
The given parameters are
Speed = 3.5 miles per hour
Distance = 10.5 miles
The time is calculated as:
Time = Distance/Speed
So, we have
Time = 10.5 miles/3.5 miles per hour
Evaluate the quotient
Time = 3 hours
Convert to minutes
Time = 180 minutes
Hence, the minutes it takes him to run 10.5 miles is 180 minutes
Read more about speed at:
brainly.com/question/6504879
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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:
