Answer: Look below
Step-by-step explanation:
1(10x-6y)=-16
3(5x+2y)=66
10x-6y=-16
15x+6y=66
-25x=50
x=-2
Answer:
- 224/5
Step-by-step explanation:
DECIMEL FORM = -44 4/5
Answer:
There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.
This means, respectively, that 
The test-statistic is:



The pvalue is:
2(P(Z < -2.69))
P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036
2*(0.0036) = 0.0072
0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Answer:
Original value: 5.69
Value (with 10 decimal places): 5.69
Answer:
The diameter of an atom is 25000 times the diameter of a pearl.
Step-by-step explanation:
Given that,
The diameter of a pearl is 
The diameter of an atom is 
Taking the ratio,

So, the diameter of an atom is 25000 times the diameter of a pearl.