Answer:
One-sixth
Step-by-step explanation:
First we need to add the blue tokens (two-sixths) plus the gold tokens (two-sixths) when you add those you get five-sixths and since we are dealing with sixths we would subtract five-sixths from six-sixths
Answer:
[3.75 years, 5.45 years]
Step-by-step explanation:
The 90% confidence interval is given by the interval
![\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x-t%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%2C%20%5Cbar%20x%2Bt%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%5D)
where
<em>
is the sample mean </em>
<em>s is the sample standard deviation </em>
<em>n is the sample size
</em>
is the 0.05 (5%) both-sided (**) critical value for <em>the Student's t-distribution with 19 degrees of freedom (sample size -1), which is an approximation to the Normal distribution for small samples (n≤ 30).
</em>
Either by using a table or the computer, we find
and our 90% confidence interval is
![\large [4.6-1.729*\frac{2.2}{\sqrt{20}}, 4.6+1.729*\frac{2.2}{\sqrt{20}}]=\boxed{[3.75,5.45]}](https://tex.z-dn.net/?f=%5Clarge%20%5B4.6-1.729%2A%5Cfrac%7B2.2%7D%7B%5Csqrt%7B20%7D%7D%2C%204.6%2B1.729%2A%5Cfrac%7B2.2%7D%7B%5Csqrt%7B20%7D%7D%5D%3D%5Cboxed%7B%5B3.75%2C5.45%5D%7D)
(**) 5% of the area to the left of 
and 5% to right of for a total of 90% inside the interval ![\large [-t^*,+t^*]](https://tex.z-dn.net/?f=%5Clarge%20%5B-t%5E%2A%2C%2Bt%5E%2A%5D)
Both these expression are written in slope-intercept form. y = mx + b
m = slope
b = y-intercept
We can find the slope of each expression by finding what m is in each equation.
y = -3x + 2 -> m = -3
y = 4x - 5 -> m = 4
Remember that m = slope
______
Best Regards,
Wolfyy :)
Answer:
The dollar amount of the meals Sarah served was $1150.
Step-by-step explanation:
Set up an equation expressing Sarah's total earnings:
(total earned) = (base wage) + 0.15 * (price of meals served)
Now the same using what we know:
$252.50 = $80 + 0.15 * x
where x is unknown and can be solved for:
x = (252.50 - 80) / 0.15 = $1150
The dollar amount of the meals Sarah served was $1150.
Amanda got more questions correct.
<u>Step-by-step explanation:</u>
Given:
Amanda got 
of the questions correct.
Joe got 75% or 
of the questions correct.
To Find:
Individual with maximum number of correct question.
Solution:
Now we have to convert fraction and percent into a decimal number, so that we can compare it.
= 0.8
= 0.75,
Thus from the above obtained decimal details we can conclude that Amanda got more questions correct.
