Answer:
Your original account balance before you made the deposit is $6
Step-by-step explanation:
Let x = your original account balance.
You triple your account balance by making a deposit. This means
New account balance = 3 × x = 3x
Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.
Now your account is overdrawn by $10.50. This means you have withdrawn beyond what you have in your account. Your new account balance is -$10.5. Therefore,
3x - 28.5 = - 10.5
3x = -10.5 + 28.5 = 18
x = 18/3 = 6
Your original account balance before you made the deposit is $6
A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.
b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.
c. If there are 54 respondents.
51 = yes, the rest is no.
= 54 - 51 = 3
= 3 is now divided to 54 = 3/54
= giving an answer of 0.0555
= 0.0555 x 100
= 5.6%
= The percent of responses that says 'no' is 5.6%
Answer:
32, consecutive interior angles are supplementary.
Step-by-step explanation:
We know that the two angles add up to 180, because consecutive interior angles are supplementary. So let's set up an equation equal to 180.
2x + 3x + 20 = 180
Now let's add like terms.
5x + 20 = 180
Now let's subtract 20 from both sides.
5x = 160
Now let's divide both sides by 5.
x = 32
Since 68% of the sample ranges from the plus minus first standard deviation from the mean, then interval wherein it will occur will be between 53.5% to 60.5%. I got this answer through adding and subtracting one standard deviation (3.5) from the mean (which is 57).
