Answer:
68%
Step-by-step explanation:
The empirical rule basically states that 68% of the data falls within one standard deviation from the mean, 95% of the data falls within two standard deviations from the mean, and 99.7% of the data falls within three standard deviations from the mean.
So to find the percentage of IQ scores between 70 and 138, you need to find how far each of these numbers is from the mean in terms of the standard deviation.
If you subtract the standard deviation from the mean, you receive 87, and if you add the standard deviation to the mean, you receive 121.
This means that both of these numbers are within one standard deviation from the mean meaning according to the empirical rule, that means 68% of the IQ scores are between 70 and 138.
<em>good luck, i hope this helps :)</em>
Answer:
Step-by-step explanation:
<u>As per given, the relationship is:</u>
<u>To fill in the table we get:</u>
- m = 1 ⇒ p(1) = 16*1 + 86 = 102
- m = 2 ⇒ p(2) = 16*2 + 86 = 118
- m = 3 ⇒ p(3) = 16*3 + 86 = 134
- m = 4 ⇒ p(4) = 16*4 + 86 = 150
Answer:
Step-by-step explanation:
Let x represent the number of days for which Jim wants to rent the car.
The rental company charges $21 per day to rent a car and $0.10 for every mile driven. He will travel 250 miles. It means that the cost of travelling 250 miles in x days is expressed as
21x + 0.1 × 250
= 21x + 25
If he has $115 to spend, then the inequality that can be used to determine the maximum number of days that Jim can rent a car is
21x + 25 ≤ 115
Answer: it will take 17.5 years to double his money in the account.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
Answer:
the answer is for this particular problem is F
