Answer:
Tyler's height in centimeters is, 144.78 centimeters.
Step-by-step explanation:
Given the statement: Tyler's height is 57 inches.
To find his height in centimeters.
Using the conversion:

Proportion states that the two ratios or fraction are equal.
Using proportion method:
By cross multiply, we get
centimeters.
therefore, his height in centimeter is, 144.78 inches.
3. Divide by 5
4. Add 12
5. Multiplying by -8
6.subtracting by -6
Answer:
a) The 90% confidence interval for the mean noise level at such locations
(112.46 , 163.54)
b) The critical value that should be used in constructing the confidence interval
Z₀.₁₀ = 1.645
Step-by-step explanation:
<u><em>Step(i)</em></u> :-
Noise levels at 3 airports were measured in decibels yielding the following data
108 146 160
Mean of given data

x : 108 146 160
x-x⁻ : -30 8 22
(x-x⁻ )² : 900 64 484
Variance σ ² = ∑(x-x⁻ )²/ n-1
= 
Standard deviation
σ = √724 = 26.90
<u><em>Step(ii):</em></u>-
The 90% confidence interval for the mean noise level at such locations

The critical value that should be used in constructing the confidence interval
Z₀.₁₀ = 1.645

( 138 - 25.54 , 138 + 25.54 )
(112.46 , 163.54)
Step 1: Find the gradient/slope
Gradient and slope are interchangeable words. To find the gradient/slope we need to use two points that we know are on the line and the following formula: (y2 - y1) / (x2 - x1)
Point 1 = (0,1)
Point 2 = (3,13)
Gradient = (13 - 1) / (3 - 0)
Gradient = 12 / 3
Gradient = 4
Step 2: Find the y-intercept
We can use the slope-intercept form to find the y-intercept. To do so, we plug in the gradient and one of the points on the line. You can pick either point to plug in here!
Slope-intercept form: y = mx + b
-m is the gradient
-b is the y-intercept (that we are trying to find)
13 = 4(3) + b
13 = 12 + b
b = 1
Step 3: Put it all together in slope-intercept form
Now that we have the slope and y-intercept, all that's left to do is plug in the values.
y = mx + b
y = 4x + 1
Answer: y = 4x + 1
Hope this helps!!