I am big pp lol xD hxyjdrh
Answer: 61,750 miles
Step-by-step explanation:
Given : The p-value of the tires to outlast the warranty = 0.96
The probability that corresponds to 0.96 from a Normal distribution table is 1.75.
Mean : ![\mu=60,000\text{ miles}](https://tex.z-dn.net/?f=%5Cmu%3D60%2C000%5Ctext%7B%20miles%7D)
Standard deviation : ![\sigma=1000\text{ miles}](https://tex.z-dn.net/?f=%5Csigma%3D1000%5Ctext%7B%20miles%7D)
The formula for z-score is given by : -
![z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.75=\dfrac{x-60000}{1000}\\\\\Rightarrow\ x-60000=1750\\\\\Rightarrow\ x=61750](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%5C%5C%5CRightarrow%5C%201.75%3D%5Cdfrac%7Bx-60000%7D%7B1000%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-60000%3D1750%5C%5C%5C%5C%5CRightarrow%5C%20x%3D61750)
Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.
The 4th option.
The values with no x or y attached are the y intercept
6x - 7y = 21
Subtract 6x from both sides
6x - 7y - 6x = 21 - 6x
-7y = 21 - 6x
Divide both sides by - 7
-7y/-7 = 21/-7 - 6x/-7
Y = -3 +6x/7
The why intercept, -3 is the same as the one in the question
Center at (h,k) and radius r is
(x-h)²+(y-k)²=r²
so given
center at (9,-8)
(x-9)²+(y-(-8))²=r²
(x-9)²+(y+8)²=r²
input the point (19,22) to find r²
x=19 and y=22
(19-9)²+(22+8)²=r²
10²+30²=r²
100+900=r²
1000=r²
10√10=r
well, the equation is
(x-9)²+(y+8)²=1000
The required length of the hypotenuse of the triangle is √19.
<h3>
What is a right triangle?</h3>
- A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.
To find the required length of the hypotenuse of the triangle:
Legs in the right triangle refer to the perpendicular and base.
Hypotenuse:
![= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7Bperpendicular%5E%7B2%7D%2Bbase%5E%7B2%7D%20%20%7D%20%5C%5C%3D%20%5Csqrt%7B3%5E%7B2%7D%2B%5Csqrt%7B10%5E%7B2%7D%20%7D%20%20%7D%20%5C%5C%3D%5Csqrt%7B19%7D)
Therefore, the required length of the hypotenuse of the triangle is √19.
Know more about right triangles here:
brainly.com/question/2437195
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