Answer:
z=0.5084
p=0.2809
Step-by-step explanation:
Since number of tires tested for breaking distance is enough (>30), the standardized test statistic is calculated by the formula:
z=
where
- X is the mean breaking distance in the sample (78)
- M is the mean breaking distance (75)
- s is the standard deviation (5.9)
- N is the sample size
Putting the numbers in the formula:
z=
=0.5084 and corresponding p value is:
p=0.28
The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
<h3>What is the value of sin (π/2)?</h3>
The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.
Suppose the value of this function is <em>x</em>. Thus,

Solve it further,
......1
The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

Put this value in the equation 1,

Thus, the range will be,

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
Learn more about the sine values here;
brainly.com/question/10711389
To find the solution, we use the substitution method.
x+y=-1
<span>x-3y=11
</span>
x+y = -1-y
-y
x = -1-y
Now apply the value of x into the other equation.
x-3y=11
-1-y-3y = 11
Combine like terms
-4y -1 = 11
+1 +1
-4y = 12
-4y = 12
-4y/-4 = 12/-4
y = -3
Now, apply the value of Y to one equation to find x.
y = -3
x -3 = -1
+3 +3
x= 2
Now we have the value for both, x and y.
x = 2
y =-3
Final answer: A. <span>(2, −3)</span>