Answer:
The number is 48
Step-by-step explanation:
First, let's call the number we are looking for n.
We can then write "two-thirds of the number" as 2/3n
We can also write "one-half of a number" as 1/2n
Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8
We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.
We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6
1n = 48
n =48
The value of r of the given equation is 3. option B
Step-by-step explanation:
Given,
or, [ will be dividing by ]
or,
or,
or, r =
or, r =
or, r = 3
Hence the value of r is 3.
Answer:
3(z+3) = 3z + 9 if thats what your asking
Step-by-step explanation:
<span>a. verify that the conditions for computing a confidence interval are met in this case.
The formula for computing the CI interval is given by:
x_bar+/-z (s/</span>√n<span>)
since:
x_bar=6.67
s=1.88
n=15
The conditions are met because we have all the values necessary for computing CI.
b] </span><span> compute and interpret a 95% confidence interval for the mean number of hours the students at this school sleep each night.
The value of z corresponding to 95% CI is 1.96
thus the 95% CI will be:
6.67+/-1.96(1.88/</span>√15<span>)
=6.67+/-1.96(0.4854)
=6.67+/-0.9514</span>