Using the z-distribution, it is found that a sample of 171 should be selected.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is:

In which:
is the sample mean.
is the standard deviation for the population.
For this problem, the parameters are:

Hence we solve for n to find the needed sample size.





n = 170.7.
Rounding up, a sample of 171 should be selected.
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Answer:
<u> Consecutive Interior Angles </u>
Consecutive interior angles equal 180 degrees and they are the ones in between(inside) the parallel lines, so that means that these angles..
∠2+∠9= 180
∠4+∠11= 180
∠6+∠13= 180
∠8+∠15= 180
<u> Consecutive Exterior Angles </u>
Consecutive exterior angles also equal 180 degrees, but they are on the outside of the parallel lines. They are...
∠1+∠10= 180
∠3+∠12= 180
∠5+∠14= 180
∠7+∠16= 180
He needs to run with approximately 6429 for a distance of 9 km
<h3>How to determine the number of strides?</h3>
The given parameters are:
Length of stride = 1.4 m
Distance for marathon = 9 km
The number of strides needed is then calculated as:
Number of stride = Distance for marathon/Length of stride
Substitute the known values in the above equation
Number of stride = 9km/1.4m
Convert km to m
Number of stride = 9000m/1.4m
Evaluate the quotient
Number of stride = 6428.57143
Approximate the estimate
Number of stride = 6429
Hence, he needs to run with approximately 6429 for a distance of 9 km
Read more about quotients at:
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Answer:
y=3x.........1
y=x^2-10.......2
substituting value of eq 1 to 2
3x=x^2-10
x^2-10-3x=0
x^2-3x-10=0
x^2-5x+2x-10=0
X(x-5)+2(x-5)=0
(x-5)(X+2)=0
then
X=5 or X=-2
again
y=??
when X=5
y=3×5=15
when X=-2
y=-6