Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.
Explanation:
1. As n increases, the sample mean approaches the population mean
(The Law of Large numbers)
2. The standard error of the sample is
σ/√n
where σ = population standard deviation.
As n increases, the standard error decreases, which means that the error
between the sample and population means decreases.
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
x < 3
The answer is (-2,-3) Thank you and please rate if I helped you! Thanks again!
Answer:
8gallons
Step-by-step explanation:
If Joe drinks 10 liters of water every week, then;
10liters = 1 week
After 3weeks;
x litres =3 weeks
Divide both expressions
10/x = 1/3
x = 3*10
x = 30litres
This means he consumes 30litres in 3 weeks
If there are approximately 19 liters in 5 gallons, the;
19litres = 5gallons
To determine the number of gallons consumed in 3 weeks;
30litres = y
Divide both expressions
19/30 = 5/y
Cross multiply
19 * y = 30*5
19y = 150
y = 150/19
y = 7.89
y ≈ 8 (to nearest whole number)
Hence Joe drinks 8gallons of water in 3weeks
Answer:
x < 3
Step-by-step explanation:
Since 3x - 5 < 4 then we can transpose the inequality to make x the subject of the equation:
If 3x - 5 < 4
⇒ 3x < 4 + 5
⇒ x < 9 ÷ 3
⇒ x < 3
