Answer:
5^ -8 or 1/ 5^8
Step-by-step explanation:
(5^-2)^4
We know that a^b^c = a^(b*c)
(5^-2)^4 = 5^(-2*4) = 5^(-8)
We know that a^ - b = 1/ a^b
5^ -8 = 1/ 5^8
√(<em>x</em> + 1) + 3 = 0 ==> √(<em>x</em> + 1) = -3
has no real solutions, since the square root cannot be a negative number. But if we were to ignore that for the moment, one might try taking the square of both sides, which gives
(√(<em>x</em> + 1))² = (-3)² ==> <em>x</em> + 1 = 9 ==> <em>x</em> = 8
But this is not a valid solution, since
√(8 + 1) = √9 = 3 ≠ -3
While -3 is a square root of 9, we had started off with the *positive* square root of <em>x</em> + 1.
Answer:
(0.4062, 0.5098)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, 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:
356 dies were examined by an inspection probe and 163 of these passed the probe. This means that 
and 
Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe.
So 
= 0.05, z is the value of Z that has a pvalue of ![1 - \frac{0.05}{2} = 0.975[tex], so [tex]z = 1.96](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B0.05%7D%7B2%7D%20%3D%200.975%5Btex%5D%2C%20so%20%5Btex%5Dz%20%3D%201.96)
.
The lower limit of this interval is:
The upper limit of this interval is:
The correct answer is
(0.4062, 0.5098)
Answer:
Daniela spent 1/20 of an hour longer on her English homework than her Math homework.
Step-by-step explanation:
I think what your asking is how much longer Daniela took on her English homework then her math homework. If that's what your asking, you need to subtract 3/4 from 4/5.
First, the denominators need to be the same (meaning we have to multiply them):
4/5 * 4 = 16/20
3/4 * 5 = 15/20
Finally, we subtract the two fractions:
16/20 - 15/20 = 1/20
Answer:
b=0,b=5
Step-by-step explanation:
