Answer:
Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal, Liam has 3.33 of Pizza.
Step-by-step explanation:
Given
Quantity of pizza with Martin = 5/6 of a pizza
Pizza with Liam = 4*Quantity of pizza with Martin
Pizza with Liam = 4*5/6 of a pizza
Pizza with Liam = 10/3 of a pizza = 3 1/3 of pizza.
Thus, Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal Liam has 3.33 of Pizza.
Answer:
Confidence interval: (21.9, 32.9).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.485
The margin of error is:
![M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5](https://tex.z-dn.net/?f=M%20%3D%20T%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%202.485%5Cfrac%7B11.2%7D%7B%5Csqrt%7B26%7D%7D%20%3D%205.5)
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
Answer:
Since we know what y is, it is 3x+9, we can substitute 3x+9 in for y in the first equation
4x+5y=7
Substitute 3x+9 in
4x+5(3x+9)=7
Distribute the 5
4x+ 5*3x +5*9=7
(4x+15x)+45=7
Combine like terms
19x=-38
Divide both sides by 19
x= -2
Now we know x, and have to find y. Substitute -2 in for x in either of the equations
y=3x+9
y=3(-2)+9
y=-6+9
y=3