Answer: 12
Step-by-step explanation:
6c + 11= 2c + 59
Collect like terms
6c - 2c = 59 - 11
4c = 48
c = 48/4
c = 12
Answer:
3
Step-by-step explanation:
To simplify this expression, we will simply work with the numerator, then the denominator, and then the fraction as a whole, following PEMDAS.
Numerator: 12 - 6 + 5 * (-3)^2
= 12 - 6 + 5 * (9)
= 12 - 6 + 45
= 6 + 45
= 51
Denominator: 17
So our simplified fraction is as follows:
51/17
Which can be reduced to the whole number, 3.
Cheers.
Answer: length = 30, breadth = 15
length = l
breadth = b
l = 2b
2b + b + 2b + b = 90
6b = 90
b = 15
l = 2b
l = 2(15)
length = 30
b = 15
breadth = 15
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.