Answer: The required confidence interval is (56.1,66.9).
Step-by-step explanation:
Since we have given that
53.1, 60.2, 60.6, 62.1, 64.4, 68.6
![\bar{x}=\dfrac{53.1+60.2+60.6+62.1+64.4+68.6}{6}=\dfrac{369}{6}=61.5](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5Cdfrac%7B53.1%2B60.2%2B60.6%2B62.1%2B64.4%2B68.6%7D%7B6%7D%3D%5Cdfrac%7B369%7D%7B6%7D%3D61.5)
n = 6
Margin of error = 5.4
At 95% level of confidence, z = 1.96
So, the confidence interval would be
![\bar{x}\pm \text{Margin of error}\\\\=61.5\pm 5.4\\\\=(61.5-5.4,61.5+5.4)\\\\=(56.1,66.9)](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%5Cpm%20%5Ctext%7BMargin%20of%20error%7D%5C%5C%5C%5C%3D61.5%5Cpm%205.4%5C%5C%5C%5C%3D%2861.5-5.4%2C61.5%2B5.4%29%5C%5C%5C%5C%3D%2856.1%2C66.9%29)
Hence, the required confidence interval is (56.1,66.9).
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
Answer:
B and E
Step-by-step explanation:
A: 3 + 6 < 4 + 3 and 6 > 4
9 < 7 is false so A is not the answer.
B: 1 + 5 < 4 + 3 and 5 > 4
6 < 7 and 5 > 4 are true so B is an answer.
C: 2 + (-1) < 4 + 3 and -1 > 4
-1 > 4 is false so C is not an answer.
D: 1 + 1 < 4 + 3 and 1 > 4
1 > 4 is false so D is not an answer.
E: 2 + 8 > 4 + 3 and 8 > 4
10 > 7 and 8 > 4 are both true so E is an answer.
F: -1 + 8 > 4 + 3 and 8 > 4
7 > 7 is false so F is not an answer.
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Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
<u>B) (gºf)(x) = (x + 1)^2</u>