Answer:
The person solving the problem first subtracted 6 from 15. Since the cube root is next to the six, the problem should be read as
rather than
.
- To solve it correctly, first find the cube root of -1000/27: <u>-10/3</u>
- Next, multiply by 6: -20
- Finally, subtract from 15: 35
please lmk if anything is wrong with my answer, hope this helps :)
Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:
<h3>What is the trigonometric identity using in this problem?</h3>
The identity that relates the sine squared and the cosine squared of the angle, as follows:

In this problem, we have that the sine is given by:

Hence, applying the identity, the cosine is given as follows:






The tangent is given by the sine divided by the cosine, hence:




More can be learned about trigonometric identities at brainly.com/question/24496175
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Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
-x on both sides to get
x=15