Hello,
<span>to find the percent of a number what we have to do is to multiply the number by de percent that we want to know and divide by 100, so:
</span>
Answer: 118% of 19 is 22.42
Answer:
The angle with measure 60° is one of those angles that has a well-known cosine value: cos(60°) its C= 1/2.
Step-by-step explanation:
Answer: 0.9147
Step-by-step explanation:
Step-by-step explanation:
Given : A manufacturer knows that their items have a normally distributed lifespan with
![\mu=14.2\text{ years}](https://tex.z-dn.net/?f=%5Cmu%3D14.2%5Ctext%7B%20years%7D)
![\sigma= 3.8\text{ years}](https://tex.z-dn.net/?f=%5Csigma%3D%203.8%5Ctext%7B%20years%7D)
Let x be the random variable that represents the lifespan of items.
z-score : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x= 9
![z=\dfrac{9-14.2}{3.8}\approx-1.37](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B9-14.2%7D%7B3.8%7D%5Capprox-1.37)
Now by standard normal distribution table, the probability it will last longer than 9 years will be :-
![P(X>9)=P(z>-1.37)=1-P(x\leq-1.37)\\\\=1- 0.0853435\approx0.9146565\approx0.9147](https://tex.z-dn.net/?f=P%28X%3E9%29%3DP%28z%3E-1.37%29%3D1-P%28x%5Cleq-1.37%29%5C%5C%5C%5C%3D1-%200.0853435%5Capprox0.9146565%5Capprox0.9147)
Hence, the probability it will last longer than 9 years = 0.9147