In this problem, we need to plug in the given x values for
and find a and b.
When we plug in 1, we get:
Simplify:
We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:
Now we have our second one. We can combine them:
I use elimination method which is easier here.
Multiply the top equation by -1:
Add them up:
Simplify:
Now we have a, we can plug in one of those equations to find b:
So, the answers are
and
.
Answer:
The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
Given that:
The treatment group using Spray A reported a mean of 3.5 mosquito bites.
The treatment group using Spray B reported a mean of 5.6 mosquito bites.
After the data are re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;
The best conclusion that can be make based on the data from the dot plot is :
The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
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Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
Answer:
It is 61 degress an acute angle.
Step-by-step explanation: