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3 years ago

7

The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they

wear out is a normally distributed random variable with a mean of 67,000 miles and a standard deviation of 5,200 miles. What is the probability that a tire wears out before 60,000 miles?

1 answer:

Anvisha [2.4K]3 years ago

8 0

Answer: 0.9726

Step-by-step explanation:

Let x be the random variable that represents the distance the tires can run until they wear out.

Given : The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they wear out is a normally distributed random variable with a $\mu=$ 67,000 miles and a $\sigma=$ 5,200 miles.

Then , the probability that a tire wears out before 60,000 miles :

$P(x$ [using p-value table for z]

Hence, the probability that a tire wears out before 60,000 miles= 0.9726

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In a triangle ABC, if <B = 60° and the ratio of two sides is a: c= 2: square root 3+1, then <A=

slavikrds [6]

Your answer is 75°.

To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:

b² = a² + c² - 2×a×c×cos(B)

b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)

b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5

b² = 8 - 2 = 6

b = √6

Then you use this length in the sine rule, and find the angle:

$\frac{sin(A)}{\sqrt{3}+1 } =\frac{sin(60)}{\sqrt{6} }$

sin(A) = (√6 + √2)/4

A = 75

I hope this helps! Let me know if you have any questions

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3 years ago

What is the Circumference of a circle if its radius in 15 inches? Please help always a procrastinator in math! Thanks!

Tems11 [23]

Circumference Formula:
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$C = 2\pi \times 15$
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3 years ago

Please help asap!!!!

igor_vitrenko [27]

Answer:

$m\widehat {MP} =46\degree$

Step-by-step explanation:

By inscribed angle theorem:

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3 years ago

What is a solution to (x + 6)(x + 2) = 60?

Reika [66]

Solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: $(x+6)(x+2)=60$

Solving:

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Multiplying terms on the left hand side

$x(x+2)+6(x+2)=60$

$x^2+2x+6x+12=60$

$x^2+8x+12=60$

$x^2+8x+12-60=0$

$x^2+8x-48=0$

Now factorizing:

$x^2+12x-4x-48=0$

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$(x-4)(x+12)=0$

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Keywords: Solving Equations

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3 years ago

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sweet-ann [11.9K]

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3. Find a (1 - 0.05)×100% confidence interval for the test statistic. ...

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5. Determine the p-value.

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3 years ago