Answer: ![(3.0,\ 3.2)](https://tex.z-dn.net/?f=%283.0%2C%5C%203.2%29)
Step-by-step explanation:
Confidence interval for population mean is given by :-
(1)
, where
= Sample mean
= Critical z-value
= Population standard deviation.
n= Sample size.
As per given , we have
n= 610
![\sigma=1.1](https://tex.z-dn.net/?f=%5Csigma%3D1.1)
Significance level for 85% confidence : ![\alpha=1-0.85=0.15](https://tex.z-dn.net/?f=%5Calpha%3D1-0.85%3D0.15)
By z-table critical two tailed z-value : ![z_{\alpha/2}=z_{0.075}=1.44](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.075%7D%3D1.44)
Put all values in (1) , we get
![3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}](https://tex.z-dn.net/?f=3.1%5Cpm%201.44%5Cdfrac%7B1.1%7D%7B%5Csqrt%7B610%7D%7D)
![3.1\pm 1.44\dfrac{1.1}{24.698}](https://tex.z-dn.net/?f=3.1%5Cpm%201.44%5Cdfrac%7B1.1%7D%7B24.698%7D)
![3.1\pm 0.064](https://tex.z-dn.net/?f=3.1%5Cpm%200.064)
![=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)](https://tex.z-dn.net/?f=%3D%283.1-0.064%2C%5C%203.1%2B0.064%29%3D%283.036%2C%5C%203.164%29%5Capprox%283.0%2C%5C%203.2%29)
Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. = ![(3.0,\ 3.2)](https://tex.z-dn.net/?f=%283.0%2C%5C%203.2%29)
Answer:
Angles in a triangles add up to 180°
Respectively 1 : 2 : 3 is going to be 1 x , 2 x and 3 x so,
1 x + 2 x + 3 x = 180°
⇒ Simplify
6 x = 180°
⇒ Divide by 6 on both sides to isolate x
x = 30°
Since the ratio was 1 x : 2 x : 3 x and x is 30°,
30 : 60 : 90
And since there is a 90° angle, it is a right - angled triangle
Answer:
Here look at this graph this is your answer.
The number of miles for which the car has been driven if one paid $122.50 as in the task content is; 2.5 miles.
<h3>For how many miles was the car driven?</h3>
It follows from the task content that the total amount paid was; $122.50.
Hence, after subtraction the constant charges, for the day and for gas, the remainder is;
$122.50 - $50 - $35
= $37.50.
Ultimately, if the charge per mile is $15, then the number of miles driven is; $37.50/$15
= 2.5 miles.
Read more on cost per unit;
brainly.com/question/19493296
#SPJ1