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3 years ago

15

write a word problem that involves finding the volume of a box draw the box solve the problem and explain how you found your ans

wer

1 answer:

ozzi3 years ago

5 0

Word problem You have to fill a box of cereal with cereal how much cereal can you put in

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Which best describe a vector

ANEK [815]

Answer:

Vectors are used to represent physical magnitudes that have an associated address.For example,if we want to represent the displacement of an object,it is not enough to describe only the distance as 10 meters, it is also necessary to describe in which direction the displacement occurred,for example,30°towards the northeast.

Hope this helps:)

6 0

4 years ago

Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzone

Bumek [7]

Answer:

26880 ways

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Step-by-step explanation:

Given

$Crust = 4$

$Toppings = 10$

$Cheese = 8$

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in $^4C_1$ ways

For the toppings:

3 can be selected from 10 in $^{10}C_3$ ways

For the cheeses:

3 can be selected from 8 in $^{8}C_3$ ways

Total number of selection is:

$Total = ^4C_1 * ^{10}C_3 * ^{8}C_3$

Apply combination formula:

$Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}$

$Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}$

$Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}$

$Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}$

$Total = 4 * \frac{720}{6} * \frac{336}{6}$

$Total = 4 * 120* 56$

$Total = 26880$

<em>Hence, there are 26880 ways</em>

5 0

3 years ago

Grading managers. Some companies "grade on a bell curve" to compare the performance of their managers and professional workers.

Monica [59]

Answer:

$\mu = 250, \sigma = 175.781$

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 grades of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

For this case we have two conditions given:

$P(X$

$P(X>475) = 0.1$ or equivalently $P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:

$z= -1.28, z=-1.28$

We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]

And then using the z score we have the following formulas:

$-1.28 = \frac{25 -\mu}{\sigma}$ (1)

$1.28 = \frac{475 -\mu}{\sigma}$ (2)

If we add equations (1) and (2) we got:

$\frac{25 -\mu}{\sigma} + \frac{475 -\mu}{\sigma} =0$

We can multiply both sides of the equation by $\sigma$ and we got:

$25+ 475 -2 \mu = 0$

$\mu = \frac{500}{2}= 250$

And then we can find the standard deviation for example from equation (1) and we got:

$\sigma = \frac{25-250}{-1.28}=175.781$

So then the answer would be:

$\mu = 250, \sigma = 175.781$

3 0

3 years ago

the cost of a service call to fix a washing machine can be expressed by the linear function y = 45x + 35, where y represents the

Roman55 [17]

The y intercept is the price of them coming to the home

6 0

3 years ago

Read 2 more answers

The Art department at a high school is selling a collection book of sketches created by the

lisov135 [29]

Answer:

167 books are needed to get above the minimum of 1500 dollars

8 0

3 years ago

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