What is Q35 please x
1 answer:
Answer:.
A total of 5 expressions can be simplified to 4n + 8.
Step-by-step explanation:
1. 2n + 2(n + 4)
= 2n + 2n + 2.4
= 4n + 8
2.
= 4n + 4 + 4
= 4n + 8
3. 2³ + n³ + n
Since. 2³ = 8 we have:
8 + n³ + n
≠ 4n + 8
4. 5(n - 1) - (n - 13)
= 5n - 5 - n + 13
= 4n + 8
5. 4n + 8
= 4n + 8
6.
= 10.2(2 + n)/5
= 2.2(2 + n)
= 4(2 + n)
= 8 + 4n
= 4n + 8
7. (2n + 1)² - 4n²
= 4n² + 2.2n . 1 + 1² - 4n²
= 4n² + 4n + 1 - 4n²
= 4n + 1
Hence, the answer.
You might be interested in
Answer:
The answer is 358.01
Step-by-step explanation:
Given:
Now, to solve first we crack the power notation then multiply and then do the addition:
(The value of is 10 and the value of
is 1.)
.
Therefore, the answer is 358.01 .
Answer:
(a) Probability that Y falls into the dangerous region is 0.0013.
(b) Probability that the mean Y-bar falls into the dangerous region is 0.00001.
Step-by-step explanation:
We are given that a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg, σ = 1 mg).
A dosage of 13 mg is considered dangerous.
Let Y = <u><em>dosage of the active ingredient </em></u>
The z-score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean = 10 mg
= standard deviation = 1 mg
(a) Probability that Y falls into the dangerous region is given by = P(Y 13 mg)
P(Y 13 mg) = P(
) = P(Z
3) = 1 - P(Z < 3)
= 1 - 0.9987 = <u>0.0013</u>
The above probability is calculated by looking at the value of x = 3 in the z table which has an area of 0.9987.
(b) We are given that a dosage of 13 mg is considered dangerous. And we sample 49 capsules at random.
Let = sample mean dosage
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean = 10 mg
= standard deviation = 1 mg
n = sample of capsules = 49
So, Probability that the mean Y-bar falls into the dangerous region is given by = P(
13 mg)
P(Y 13 mg) = P(
) = P(Z
21) = 1 - P(Z < 21)
= <u>0.00001</u>