What are the solutions

A cube has a volume of 27 cubic centimeters. What is the length of each edge of the cube ?

Harlamova29_29 [7]

You need the cubic root of 27, which is 3. This means each edge is 3cm

6 0

3 years ago

What distance was used to define the astronomical unit (AU)

scoundrel [369]

<h2>approximately 93 million miles Definition of astronomical unit. For general reference, we can say that one astronomical unit (AU) represents the mean distance between the Earth and our sun. An AU is approximately 93 million miles (150 million km). It's approximately 8 light-minutes.</h2>

5 0

3 years ago

Melia put the $30 her Grandmother gave her for her tenth birthday into her piggy bank. Each week after

Vladimir [108]

This is a sequence because the points form a straight line. The expression is: t(n) = 30 + 2x, x is number of weeks. On her 18th birthday, that is 8 years after her 10th. that means 416 weeks have passed since her 10th birthday. Plug 416 into the equation to get: t(416) = 30 + 2(416) = $862. She will have $862 to Spend.

3 0

4 years ago

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

mylen [45]

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:

a

$P(X < 445 )= 0.3085$

b

$k = 458.42$

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

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