Answer:
X=82
Step-by-step explanation:
Answer:

And on this case if we see the significance level given
we see that
so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.
Step-by-step explanation:
A chi-square goodness of fit test determines if a sample data obtained fit to a specified population.
represent the p value for the test
O= obserbed values
E= expected values
The system of hypothesis for this case are:
Null hypothesis: ![O_i = E_i[/tex[Alternative hypothesis: [tex]O_i \neq E_i](https://tex.z-dn.net/?f=O_i%20%3D%20E_i%5B%2Ftex%5B%3C%2Fp%3E%3Cp%3EAlternative%20hypothesis%3A%20%5Btex%5DO_i%20%5Cneq%20E_i%20)
The statistic to check the hypothesis is given by:

On this case after calculate the statistic they got: 
And in order to calculate the p value we need to find first the degrees of freedom given by:
, where k represent the number of levels (on this cas we have 10 categories)
And in order to calculate the p value we need to calculate the following probability:

And on this case if we see the significance level given
we see that
so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.
Answer:
the equation of the line is 7x + y = 0 .
Step-by-step explanation:
in the standard form of the line that is Ax +By = C we can write it in the form of
By = C - Ax

which is in the form of 
where m is the slope of the line and c is y intercept made by the line.
comparing
and 
we get that
and 
since it is given that slope of the line is -7 therefore m = -7 and c = 0
therefore
and 
therefore C = 0 , A = 7 and B = 1
therefore the equation becomes 7x + y = 0
Answer:
apple = 4
blackberry =5
Step-by-step explanation:
Let a = apple pie cost
b =blackberry pie cost
4a +9b = 61
7a +6b = 58
Multiply the first equation by 7
7(4a +9b) = 61*7
28a +63b = 427
Multiply the second equation by -4
-4(7a +6b) = 58*-4
-28a -24b = -232
Add these two new equations together to eliminate a
28a +63b = 427
-28a -24b = -232
-----------------------------
0a +39b =195
Divide each side by 39
39b/39 = 195/39
b= 5
Now we need to find a
4a +9b = 61
4a +9(5) = 61
4a +45 = 61
4a+45-45 =61-45
4a = 26
Divide by 4
4a/4 =16/4
a = 4
Answer:
7.6923%
Step-by-step explanation:
Let y% be the percent of 520.
520y = 40
y = 0.076923...
y = 7.6923%