Answer:
x = 18
Step-by-step explanation:
Given ![3 \sqrt[4]{(x-2)^3}-4 = 20](https://tex.z-dn.net/?f=3%20%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D-4%20%3D%2020)
now adding '4' on both sides, we get
![3 \sqrt[4]{(x-2)^3}-4+4= 20+4](https://tex.z-dn.net/?f=3%20%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D-4%2B4%3D%2020%2B4)
![3 \sqrt[4]{(x-2)^3} = 24](https://tex.z-dn.net/?f=3%20%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D%2024)
i)
= <u>24</u>
cancelling '3' on both sides, we get
![\sqrt[4]{(x-2)^3} = 8](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D%208)
ii)
= <u> 8</u>
<u>iii) </u>
<u></u>
<u></u>
<u></u>
iv) 
now simplify on both sides,we get


simplify we get solution is
<u>v) (x-2) </u>= 16
<u>vi) final answer is x = 16 +2 =18</u>
<u></u>
Answer:
The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

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 problem, we have that:

Middle 90%
Between the 50 - (90/2) = 5th percentile to the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05. So X when Z = -1.645.




95th percentile:
X when Z has a pvalue of 0.95. So X when Z = 1.645.




The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
Answer:
Step-by-step explanation:
Answer: There were 6 guides on Sunday.
Step-by-step explanation:
I suppose that this is a question about equivalent ratios:
It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.
RATIO OF TOURISTS TO GUIDES:
SATURDAY: 120 : 18
SUNDAY: 40 : ?
Divide 120 by 40:
120/40 = 3
Divide 18 by 3:
18/3 = 6
Therefore:
SAT: 120 : 18
SUN: 40 : 6
Check it by multiplying both numbers in the ratio 40 : 6 by 3:
40 • 3 : 6 • 3
= 120 : 18
(You get the ratio from Saturday)
Hope this helps!
The third one it could be one.