Answer:
(they're the same)
Step-by-step explanation:

Answer:
<em>Test statistic </em>
<em> </em>
t = <em>1.076</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Mean of the Population (μ) = 8.0
<em>Mean of the sample (x⁻) = 8.25</em>
Given data
8,9,9,8,8,9,8,7
Given sample size n= 8
Given sample standard deviation(S) = 0.661
<u><em>Step(ii):-</em></u>
<em>Null hypothesis : H: (μ) = 8.0</em>
<em>Alternative Hypothesis :H:(μ) > 8.0</em>
<em>Degrees of freedom = n-1 = 8-1=7</em>
<em>Test statistic </em>
<em> </em>
<em></em>
<em> </em>
<em></em>
<em> t = 1.076</em>
<em>Critical value </em>
<em> t₍₇,₀.₀₅₎ = 2.3646</em>
<em>The calculated value t = 1.076 < 2.3646 at 0.05 level of significance</em>
<em>Null hypothesis is accepted</em>
<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>
<em></em>
Answer:
The price of a package of chocolate chip is $13.25
The price of a package of gingerbread is $17.18
Step-by-step explanation:
11x + 12y = 352
10x +8y = 270
Let "x" be the price of a package of chocolate chip.
Let "y" be the price of a package of gingerbread.
11x + 12y = 352(Multiply the 1st row by 10)
10x +8y = 270 (Multiply the 2nd row by 11)
-------------------
110x + 120y = 3520
110x +88y = 2970
--------------------------
3y = 550
y =550/3
y = 17.1875
The price of a package of gingerbread "y" is $17.18
Let's pick the first equation "110x + 120y = 3520"
110x + 120y = 3520
110x+ 120(17.1875)= 3520
110x+2062.5=3520
110x=3520−2062.5
110x=1457.5
x= 1457.5/110
x=13.25
The price of a package of chocolate chip is $13.25
Answer:
B
Step-by-step explanation:
The small triangle is half the size of the entire triangle. 27/2 = 13.5
Answer:
C
Step-by-step explanation:
subtract 5 from both sides