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3 years ago

PLEASE HELP

Mathematics

1 answer:

garri49 [273]3 years ago

6 0

Answer:

the correct answer is $14.55%

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Step-by-step explanation:

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2 years ago

A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a

Diano4ka-milaya [45]

Answer: (C) 0.1591

Step-by-step explanation:

Given : A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a normal distribution with

$\mu=42,100\text{ miles}$

$\sigma=2,510\text{ miles}$

Let x be the random variable that represents the lifetime of the tires .

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= 44,500 miles

$z=\dfrac{44500-42100}{2510}\approx0.96$

For x= 48,000 miles

$z=\dfrac{48000-42100}{2510}\approx2.35$

Using the standard normal distribution table , we have

The p-value : $P(44500$

$P(z$

Hence, the probability that a randomly selected tire will have a lifetime of between 44,500 miles and 48,000 miles = 0.1591

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3 years ago

Which binomial is a factor of 49x2 + 84 xy + 36y2?

bezimeni [28]

Answer:

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

Step-by-step explanation:

Given expression is $49x^2+84xy+36y^2$

To find the binomial factor :

$49x^2+84xy+36y^2$

Rewritting the above expression as

$=7^2x^2+2(7)(6)xy+6^2y^2$

$=(7x)^2+2(7x)(6y)+(6y)^2$

$=(7x+6y)^2$ ( using the formula $=(a+b)^2=a^2+2ab+b^2$ here a=7x and y=6y )

$=(7x+6y)(7x+6y)$ ( using the formula $=(a+b)^2=(a+b)(a+b)$ )

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

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3 years ago

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julia-pushkina [17]

The correct awnser is a or c i hope i helped

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3 years ago