Answer: the wise man is 79
Step-by-step explanation:
400 - 3x = 163
400–163 =3x
237 = 3x or 3x = 237 or x = 79…
Answer:
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).
Answer:
E) 1 and 2
Step-by-step explanation:
We are given that there are two integers (s and t) and they are factors of another integer (n). For example if s = 3 and t = 2, we can have n = 6.
Thus:
n^(st) = 6^(2*3) = 6^6 = (2^6)(3^6)
For the first condition: s^t = 3^2 is a factor of (2^6)(3^6)
For the second condition: (st)^2 = (3*2)^2 = 6^2 is a factor of 6^6
For the third condition: s+t = 3+2 = 5 is not a factor of 6^6 or (2^6)(3^6)
Therefore, only 1 and 2 are factors of n^(st)
Answer:
![(-\infty,\frac{25}{24}]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%5Cfrac%7B25%7D%7B24%7D%5D)
Step-by-step explanation:
Assuming 
is a variable:
![4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}]](https://tex.z-dn.net/?f=4i-4%28i%2B2%29%5Cgeq6%288i-8%29%5C%5C%5C%5C4i-4i%2B2%5Cgeq48i-48%5C%5C%5C%5C2%5Cgeq48i-48%5C%5C%5C%5C50%5Cgeq48i%5C%5C%5C%5C%5Cfrac%7B50%7D%7B48%7D%5Cgeq%20i%5C%5C%20%5C%5C%5Cfrac%7B25%7D%7B24%7D%5Cgeq%20i%5C%5C%20%5C%5Ci%5Cleq%5Cfrac%7B25%7D%7B24%7D%5C%5C%20%5C%5C%28-%5Cinfty%2C%5Cfrac%7B25%7D%7B24%7D%5D)
We need to find surface area, so we can imagine breaking it up into face net.
There will be 18 × 18 square base, four 18 × 40 rectangles, and four triangles with base 18 and height 13.
So the surface area would be sum of these areas.
That would be 18×18 + 4( 18 × 40 ) + 4( (1/2) 18×13 ) = <span>3672
Final answer: 3672 m</span>²
Hope this helps.
