Is Y=19x - 5 proportional. Why?

Mathematics

1 answer:

Goshia [24]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

y=kx+b

here k=19 and b=-5

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. Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Def

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Complete Question

Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Define a random variable to be the weight of a randomly chosen burrito.

(a) What is the probability that a Chipotle burrito weighs less than 445 grams? (3 points)

(b) 20% of Chipotle burritos weigh more than what weight

Answer:

$P(X < 445 )= 0.3085$

$k = 458.42$

Step-by-step explanation:

From question we are told that

The population mean is $\mu = 450 \ g$

The variance is $var = 100 \ g^2$

The consider weight is $x = 445 \ g$

The standard deviation is mathematically represented as

$\sigma = \sqrt{var}$

substituting values

$\sigma = \sqrt{ 100}$

$\sigma = 10$

Given that weight of Chipotle burritos follows a normal distribution the the probability that a Chipotle burrito weighs less than x grams is mathematically represented as

$P(X < x ) = P ( \frac{X - \mu }{\sigma } < \frac{x - \mu }{\sigma } )$