Let T = the distance, in miles, a tire lasts
T ~ N(70000,4400<span>²</span>)
P(T
75000)
= P(Z
)
= P(Z
)
≈ P(Z
1.14)
= 1 - P(Z < 1.14)
≈ 1 - 0.8729
= 0.1271
Answer:
B
Step-by-step explanation:
2x = 6+14
2x = 20
x = 10
Using proportions, it is found that the coordinates of point B are given as follows:
A. (1.6, 0).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Point B is 3/4 of the way from AB to AC, hence:
The points are:
Then, to find the x-coordinate:
x + 2 = 3.6.
x = 1.6.
For the y-coordinate:
y + 3 = 3
y = 0.
Hence option A is correct.
More can be learned about proportions at brainly.com/question/24372153
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Let's solve your equation step-by-step.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span><span>Simplify: (Hide steps)</span><span><span><span><span><span>x+</span>−<span>9x</span></span>+10</span>+11</span>=<span><span><span><span>12x</span>+20</span>+</span>−2</span></span><span><span><span>(<span>x+<span>−<span>9x</span></span></span>)</span>+<span>(<span>10+11</span>)</span></span>=<span><span>(<span>12x</span>)</span>+<span>(<span>20+<span>−2</span></span>)</span></span></span>(Combine Like Terms)<span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span><span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span>Step 2: Subtract 12x from both sides.<span><span><span><span>−<span>8x</span></span>+21</span>−<span>12x</span></span>=<span><span><span>12x</span>+18</span>−<span>12x</span></span></span><span><span><span>−<span>20x</span></span>+21</span>=18</span>Step 3: Subtract 21 from both sides.<span><span><span><span>−<span>20x</span></span>+21</span>−21</span>=<span>18−21</span></span><span><span>−<span>20x</span></span>=<span>−3</span></span>Step 4: Divide both sides by -20.<span><span><span>−<span>20x</span></span><span>−20</span></span>=<span><span>−3</span><span>−20</span></span></span><span>x=<span>320</span></span>Answer:<span>x=<span>3<span>20</span></span></span>
