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 answer to your question is letter C
Step-by-step explanation:
This is a problem with the inverse rule of three because we expect that more machines can complete the same work in fewer days.
6 machines ------------------ 12 days
x machines ------------------- 8 days
x machines = 

x = 4 machines
<span>x^2+15=8x
</span><span>x^2-8x=-15
x^2 - 2 (x)(4) =-15
adding 16 on both sides
</span>x^2 - 2 (x)(4) +16=-15+16
x^2 - 2 (x)(4) + 4^2= 1
(x-4)^2=1
taking square root on bothsides x-4 = +-1
so x-4=1 or x-4=-1
x-5 or x=3
Well the ration would be 2:3 if that helps at all.
Answer:
To find the gradient it's the difference in the y values divided by the difference in the x values.
g
=
y
1
−
y
2
x
1
−
x
2
g
=
4
−
0
−
2
−
0
=
4
−
2
−
2
This means the equation is of the form
y
=
−
2
x
+
c
where
c
is the y intercept. But we know it goes through the origin (0,0)
#=> y=-2x+0
Step-by-step explanation: