Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?

Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve

sweet [91]

A conservative vector field $\mathbf f$ has curl $\nabla\times\mathbf f=\mathbf0$ . In this case,

$\nabla\times\mathbf f=12xy^2z(1-z)\,\mathbf j+4yz^2(2z-3x)\,\mathbf k\neq\mathbf 0$

so the vector field is not conservative.

3 0

2 years ago

James has to fill 40 water bottles for the soccer team. Each bottle holds 500 milliliters of water. How many liters of water doe

zhenek [66]

Answer:

20 litter

Step-by-step explanation:

$40 \: bottels \: \times 500 \times ({10}^{ - 3} ) \: litters \: = 20 \: litters$

5 0

2 years ago

Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancelations on different days are in

andrezito [222]

<h3>(a)Probability of cancelling at least 4 classes is 0.0055.</h3><h3>(b)Probability of 10th class is third class that gets cancelled = 0.0031</h3>

Step-by-step explanation:

Here, the question is<u> incomplete</u>.

Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancellations on different days are independent.

(a) There are 15 classes left this semester. Compute the probability that at least 4 of them get canceled.

(b) Compute the probability that the tenth class this semester is the third class that gets canceled.

Now, here:

The probability of cancelling each class = 0.05

Now, probability of cancelling at least 4 classes

= 1 - P(Cancelling at max 3 classes)

= 1 - P(0 ≤ x ≤ 3) = 1 - Binomial (15,0.05,3)

= 0.0055

Hence, probability of cancelling at least 4 classes is 0.0055.

(b) As given, 10th class is third class that gets cancelled.

So, the first and second classes that get cancelled in between 1 - 9.

P(2 class cancelled in 1st 9) = Binomial (15,0.05,3) = 0.0629

Also, as given P(10th class cancelled) = 0.05

⇒ P(10th class is third class that gets cancelled ) = 0.0629 x 0.05 = 0.0031

5 0

2 years ago

Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s

seraphim [82]

I think that A is the correct answer.

4 0

2 years ago

Read 2 more answers

Mr. Malloy wants to make sure Amo and Javier get the best possible grade after five tests and can either give a grade based on t

joja [24]

The data has been properly arranged in tabular form and is shown below in the image.

First we need to find the mean and median of scores of both students.

1) For Amo:
Mean = $\frac{97+92+89+55+90}{5}=84.6$
Median = Middle Value when data is arranged in ascending order = 90

2) For Javier:
Mean = $\frac{68+97+65+92+95}{5}=83.4$
Median = Middle Value when data is arranged in ascending order = 92

For both the students, value of Median is larger then the mean. So in order to give the best possible grade Mr. Malloy should use the median score for both students.

8 0

2 years ago

Read 2 more answers