Answer:
10
Step-by-step explanation:
1000 = 10 × 10 × 10 = 10³ , then
![\sqrt[3]{1000}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D)
= ![\sqrt[3]{10^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E3%7D)
= 10
Answer:
the correct answer is 38th terms is triple its 18th term
If you simplify it, you get 2x-10 or D
Answer:
A. incorrect. He has to divide 76 by 19, instead of subtract 19 to 76.
B. This equation has one solution. v=4
Step-by-step explanation:
Hi, Martin’s answer is incorrect.
A. He has to divide 76 by 19, instead of subtract 19 to 76.
The correct steps are:
19v = 76
Since 19 is multiplying the variable, to eliminate it we have to divide by 19.
v = 76/19
v = 4
B. This equation has one solution. It’s v=4
Feel free to ask for more if needed or if you did not understand something.
Answer:
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
![\mu = 5, \sigma = 0.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%205%2C%20%5Csigma%20%3D%200.2)
What is the minimum weight of the heaviest 9.85% of all items produced?
This is the 100 - 9.85 = 90.15th percentile, which is X when Z has a pvalue of 0.9015. So X when Z = 1.29.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.29 = \frac{X - 5}{0.2}](https://tex.z-dn.net/?f=1.29%20%3D%20%5Cfrac%7BX%20-%205%7D%7B0.2%7D)
![X - 5 = 1.29*0.2](https://tex.z-dn.net/?f=X%20-%205%20%3D%201.29%2A0.2)
![X = 5.26](https://tex.z-dn.net/?f=X%20%3D%205.26)
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.