The answer is 6
-1-(-7)
-1+7
6
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Answer: 0.2872
Step-by-step explanation:
Given : In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 260 of these people said they never did so.
i.e. n= 1000 and x= 260
⇒ Sample proportion : ![\hat{p}=\dfrac{260}{1000}=0.26](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B260%7D%7B1000%7D%3D0.26)
z-value for 95% confidence interval : ![z_c=1.960](https://tex.z-dn.net/?f=z_c%3D1.960)
Now, an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. :-
![\hat{p}+ z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%2B%20z_c%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
![=0.26+ (1.96)\sqrt{\dfrac{0.26(1-0.26)}{1000}}](https://tex.z-dn.net/?f=%3D0.26%2B%20%281.96%29%5Csqrt%7B%5Cdfrac%7B0.26%281-0.26%29%7D%7B1000%7D%7D)
![=0.26+ (1.96)(0.01387)=0.26+0.0271852=0.2871852\approx0.2872](https://tex.z-dn.net/?f=%3D0.26%2B%20%281.96%29%280.01387%29%3D0.26%2B0.0271852%3D0.2871852%5Capprox0.2872)
∴ An upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate : 0.2872
Step-by-step explanation:
5. Breadth of hall=b m
so: length of hall is 3 times the breath
so equation is <u>3</u><u>b</u><u>-</u><u>4</u>
<u>6</u><u>.</u>
All sides of a regular hexagon=R
We know that all hexagon sides are equal
Therefore, AB=BC=CD=DE=EF=A F= the length (l)
Answer:
1 : 7
Step-by-step explanation:
minutes : eaten pies
2 minutes : 14 eaten pies
2 : 14
2 ÷ 2 : 14 ÷ 2
1 : 7