A cube has a side length of 6 cm. What is the volume of the cube, in cubic centimeters

Write 0.00109 ounces in scientific notation

jasenka [17]

Here is the answer.
You gotta move to the right 3 times

4 0

3 years ago

Joey opened a bank account 5 years ago with $100.

Gelneren [198K]

$200 a year, for the last 5 years, equal $1,000. That is a 20% increase.

8 0

3 years ago

there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary

Luba_88 [7]

Answer: 98-15= 83 boys

8 0

3 years ago

Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting

grin007 [14]

Answer:

a) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{15-19}{4} =-1$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-1)=1-P(z$

And replacing we got:

$P(X >20| X>15)= \frac{0.401}{0.841}= 0.477$

b) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{18-19}{4} =-0.25$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-0.25)=1-P(z$

And replacing we got:

$P(X >20| X>18)= \frac{0.401}{0.599}= 0.669$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:

$X \sim N(19,4.0)$

Where $\mu=19$ and $\sigma=4.0$

Part a

For this cae we want to find this probability:

$P(X >20| X>15)$

And if we use the conditional probability formula we got:

$P(X >20| X>15)= \frac{P(X >20 \cap X>15)}{P(X>15)}=\frac{P(X>20)}{P(X>15)}$

We can solve the problem using the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

$z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{15-19}{4} =-1$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-1)=1-P(z$

And replacing we got:

$P(X >20| X>15)= \frac{0.401}{0.841}= 0.477$

Part b

$P(X >20| X>18)= \frac{P(X >20 \cap X>18)}{P(X>18)}=\frac{P(X>20)}{P(X>18)}$

We can solve the problem using the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

$z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{18-19}{4} =-0.25$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-0.25)=1-P(z$

And replacing we got:

$P(X >20| X>18)= \frac{0.401}{0.599}= 0.669$

5 0

3 years ago

Nora and Owen do business as Profit & Property, a real estate investment partnership. In acting on the firm’s behalf in a de

il63 [147K]

Answer:

breach of the duty of loyalty

Step-by-step explanation:

The deal with Quaint Village Mall was not for her personally but for her firm so for her to make a secret profit and take advantage of such an opportunity is a breach of the duty of loyalty which she is liable of.

If an employee makes a decision for the corporation that profits both him and the corporation. The duty of loyalty is breached when the employee, his or her interest in front of that of the corporation.

4 0

3 years ago

A cube has a side length of 6 cm. What is the volume of the cube, in cubic centimeters ​

A cube has a side length of 6 cm. What is the volume of the cube, in cubic centimeters