Answer:
200%
Step-by-step explanation:
2 multiplied by 100
Answer:
P(10 ≤ x ≤ 12) = 0.4274
Step-by-step explanation:
Population mean = u = 10
Population Standard Deviation =
= 9
Sample size = n = 43
Sample mean(
) is equal to the population mean. So,
Sample mean =
= 10
Sample standard deviation(
) is equal to population standard deviation divided by square root of sample size. So,
Sample standard deviation =
= 
We have to find the probability that for a random sample of n = 43, the value lies between 10 and 12 i.e. P(10 ≤ x ≤ 12)
P(10 ≤ x ≤ 12) = P(x ≤ 12) - P( x ≤ 10)
We can find P(x ≤ 12 ) and P(x ≤ 10) by converting these values to z scores.
The formula for z score is:

For x =12, we get:

For x =10, we get:

So,
P(x ≤ 12) - P( x ≤ 10) = P(z ≤ 1.457) - P(z ≤ 0)
From the z table,
P(z ≤ 1.457) = 0.9274
P(z ≤ 0) = 0.5
So,
P(x ≤ 12) - P( x ≤ 10) = P(z ≤ 1.458) - P(z ≤ 0) = 0.9274 - 0.5 = 0.4274
So,
P(10 ≤ x ≤ 12) = P(x ≤ 12) - P( x ≤ 10) = 0.4274
Therefore,
The probability that for a random sample of size 43, the mean lies between 10 and 12 is 0.4274.
Answer:
1.
A- about 43.98
B- about 17.59
C- 32.99
Step-by-step explanation:
To factor <span>54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.
54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81
9 is the gcf, so factor it out.
</span><span>54x+81 = <u>9</u>(6x + 9)</span><span>
</span>
The answer will be 22 square ft. hope it helps