A book store had 30816 exercise books which were paclced in cartons each carton contained 24 exercise books the mass of an empty carton was 2kg and a full carton 12kg

Answers

Answer 1

30,816 books would go into 1,284 containers which would weigh 15,408kg with all the books in them or 2,568kg with the books not in them.


Related Questions

Please help please guys how are you doing

Answers

Answer:

the answer of the the triangle is 6

Answer:

6

Step-by-step explanation:

First row:

8 ÷ 2 = 4. → Square: 4

Second row:

14 - 4 = 10.

[two circles] = 10. So, 10÷2 = 5.

Circle = 5

Third Row:

[triangle] + 5 = 11

11 - 5 = 6

Triangle = 6

a trader borrowed 2500$ at a sumple interest at the end of 8 months he paid back $2500 find the rate

Answers

Answer:

8%

Step-by-step explanation:

Rate = 100×Interest ÷ Principal× Time

100× 2500/ 2500 × 8 = 800

800/100 = 8%

I hope this helps

Multiply (5xy-4)(5xy+4)

Answers

[tex]{25x {}^{2} y}^{2} - 16[/tex]

Find the volume of this rectangular pyramid.
Be sure to include the correct unit in your answer.
6 m
3 m
9 m

Answers

Answer:

54 m^3

Step-by-step explanation:

this is the answer = 54 m^3

Volume of the rectangular pyramid will be 54[tex]m^{3}[/tex].

What is Rectangular Pyramid?

Rectangular pyramid has 5 faces where one face is rectangular which is at bases and other 4 faces are triangular which is connected at the one point .

How to calculate the volume of the rectangular pyramid?

If we assume that l is the length of the base and b is the width of the base and h is height of the rectangular pyramid then we can calculate the volume of the rectangular pyramid using the formula stated below

                 Volume of the rectangular pyramid = V=  (1/3)×l×b×h

According to the asked question

l = 6m

b = 3m

h = 9m

then we can calculate the volume of the rectangular pyramid by using the above formula

= V=  (1/3)×l×b×h

= (1/3)×6m×3m×9m

= 54[tex]m^{3}[/tex]

Learn more about volume of the rectangular pyramid

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A jacket costs $154.85. There is a 45% discount. What is the new price of the jacket.

A.) $68.68
B.) $85.17
C.) $224.53

Answers

b is is the best answer :) good luck

Answer:

B) $85,167

Step-by-step explanation:

u got discount 45% so u just have to pay 55% of it

cost = 55% x $154,85 = $85,1675

find the coordinates of 6x² + 6x = 12​

Answers

Answer:

1 , -2

Step-by-step explanation:

6x^2 + 6x = 12

6x^2 + 6x - 12 = 0

using middle term break method

6x^2 + (12 - 6)x - 12 = 0

6x^2 + 12x - 6x - 12 = 0

6x(x + 2) - 6(x + 2) = 0

(x + 2)(6x - 6) = 0

either (x + 2) = 0                             OR (6x - 6) = 0

x + 2 = 0

x = 0 -2

x = -2

6x - 6 = 0

6x = 6

x = 6/6

x = 1

therefore , x = 1 , -2

The answer is 1, -2 hope it helps

The volume of a rectangular prism is given by 24x3+78x2+49x+10. The height of the prism is given by 2x+5. Find an expression for the area of the base of the prism

Answers

Answer:

?

Step-by-step explanation:

i cant not explian that

PLEASE HELP!! graph the circle whose equation is (x-6)^2 + (y+2)^2 =4

Answers

Answer:

Y= -x^2+12x-36

Step-by-step explanation:

Which expression is equivalent to -6(-⅔+2x)?
O-4-12x
O-4+ 2x
O 4-12x
O 4+ 12x

Answers

Answer:

4-12x

Step-by-step explanation:

opening the brackets;

(-6×-2/3)- 12x

-2×-2 -12x

4-12x

Answer:

4 - 12x

Step-by-step explanation:

We can find an equivalent expression by distributing

-6(-⅔+2x)

Distribute by multiplying -6 times what's inside of the parenthesis ( -2/3 and 2x )

-6 * -⅔ = 4

-6 * 2x = -12x

We would be left with 4 - 12x


Malachy rolls a fair dice 720 times.
How many times would Malachy expect to roll a five?​

Answers

Answer:

120 times

Step-by-step explanation:

On a dice, there are 6 sides.

Since one of these sides is a 5, the chance of rolling a five is 1/6.

Find how many times Malachy can expect to roll a five by multiplying 720 by 1/6:

720(1/6)

= 120

So, Malachy can expect to roll a five 120 times

the probability that a customer of a network operator has a problem about you needing technical staff's help in a month is 0.01. This operator installs internet for 500 households in a residential area a, Calculate the average number of households in this residential area having internet problems in a certain month
b, Calculate the probability that in 6 consecutive months there is only one month that no customer in this area has a network problem that needs the help of technical staff​

Answers

Answer:

(a) average calls = 5  

(b) probability that there is exactly one call in 6 consecutive monts = 0.038

Step-by-step explanation:

Let event of a customer requiring help in a particular month = H

and event of a customer not requiring help in a particular month = ~H

Given

p= 0.01,  therefore

Number of households, n = 500.

Binomial distribution:

x = number of households requiring help in a particular month

P(x,n,p) = C(x,n)*p^x*(1-p)^(n-x)

where

C(x,n) = n!/(x!(n-x)!) is the the number of combinations of x objects out of n

(a) Average number of households requiring help = np = 500*0.01 = 5

(b)

Probability that there are no calls requiring help in a particular month

P(0), q= C(0,n)*p^0(1-p)^(n-0)

= 1*1*0.99^500

= 0.006570483

Applying binomial probability over six months,

q = 0.006570483

n = 6

x = 1

P(x,n,q)

= C(x,n)*q^x*(1-q)^(n-x)

= 6!/(1!*5!) * 0.006570483^1 * (1-0.006570483)^5

= 0.038145

Therefore the probability that in 6 consecutive months there is exactly one month that no customer has called for help = 0.038

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, normal random variables with a standard deviation of 0.08 fluid ounces.
(a)What is the standard deviation of the average fill volume of 22 bags?
(b)The mean fill volume of the machine is 6.16 ounces, what is the probability that the average fill volume of 22 bags is below 5.95 ounces?
(c)What should the mean fill volume equal in order that the probability that the average of 22 bags is below 6.1 ounces is 0.001?

Answers

Answer:

a) 0.0171 fluid ounces.

b) 0% probability that the average fill volume of 22 bags is below 5.95 ounces

c) The mean should be of 6.153 fluid ounces.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation of 0.08 fluid ounces.

This means that [tex]\sigma = 0.08[/tex]

(a)What is the standard deviation of the average fill volume of 22 bags?

This is s when n = 22. So

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]s = \frac{0.08}{\sqrt{22}}[/tex]

[tex]s = 0.0171[/tex]

(b)The mean fill volume of the machine is 6.16 ounces, what is the probability that the average fill volume of 22 bags is below 5.95 ounces?

We have that [tex]\mu = 6.16[/tex]. The probability is the p-value of Z when X = 5.95. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5.95 - 6.16}{0.0171}[/tex]

[tex]Z = -12.3[/tex]

[tex]Z = -12.3[/tex] has a p-value of 0.

0% probability that the average fill volume of 22 bags is below 5.95 ounces.

(c)What should the mean fill volume equal in order that the probability that the average of 22 bags is below 6.1 ounces is 0.001?

[tex]X = 6.1[/tex] should mean that Z has a p-value of 0.001, so Z = -3.09. Thus

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-3.09 = \frac{6.1 - \mu}{0.0171}[/tex]

[tex]6.1 - \mu = -3.09*0.0171[/tex]

[tex]\mu = 6.153[/tex]

The mean should be of 6.153 fluid ounces.

What is the difference between equation and function?
A. All of the options

B. An equation tells us in a clear term the nature of relationship between one variable and the other variable(s), but a function may not be explicit enough

C. An equation and a function is that, for an equation each of the values of independent variable should give a corresponding value of a dependent variable , that is not compulsory tor a function.

D. All equations are functions but not all functions are equations

Answers

Answer:

A is the answer........

pls help pls help pls help

Answers

Answer:

Step-by-step explanation:

How much is six dimes, 8 nickels, and three one-dollar bills? *

Answers

Answer:

.60 + .40 + 3.00 = 4.00

Step-by-step explanation:

Answer:

$ 4

Step-by-step explanation:

six dimes (.10 each) = .60

8 nickels (.05 each)= .40

3 dollars (1.00 each) = 3.

Add together

With the help of a diagram a boy starts at a and walks 3km east to b he then walk 4km north to c find the distance and bearing of c from a

Answers

Answer:

t=3

Step-by-step explanation:

sorry if its incorrect i got it right on edgy.

2. How to find the variance and standard deviation of a discrete
random variable?​

Answers

Answer:

To find the variance just take the second moment and subtract that from the first moment squared

To find the standard deviation just take the square root of the variance

Step-by-step explanation:

what are the adjectives in this sentence: the class cheered when Sonia had finished reading her funny poem.​

Answers

Finished and Funny because they’re the only descriptive words. (:

a basketball team playd 64 games they won 28 more than they lost

Answers

They won 46 games. They lost 18 games.

GUIDE QUESTIONS:
1. What is the idea or theme of the play?
2. How do you feel after watching the performance?
3. Does the integration of musical sound, songs, dialogue, and dance affect the
overall mood of the play?

Answers

Answer:

1.sowwy I dunno

2.its so good and it's perfect

3.i dunno ulet hehe

Step-by-step explanation:

Sorry walang matino na sagot.

(08.07 MC)
A polynomial function is shown below:

f(x) = x3 − 3x2 − 4x + 12

Which graph best represents the function? (5 points)

Answers

Answer:

Graph A (first graph from top to bottom)

Step-by-step explanation:

Given [tex]f(x)=x^3-3x^2-4x+12[/tex], since the degree of the polynomial is 3, the function must be odd and will resemble the shown shape in the graphs. The degree of 3 indicates that there are 3 zeroes, whether distinct or non-distinct. Therefore, the graph must intersect the x-axis at these three points.

Factoring the polynomial:

[tex]f(x)=x^3-3x^2-4x+12,\\f(x)=(x+2)(x-2)(x-3),\\\begin{cases}x+2=0, x=-2\\x-2=0, x=2\\x-3=, x=3\end{cases}[/tex]

Thus, the three zeroes of this function are [tex]x=-2, x=2, x=3[/tex] and the graph must intersection the x-axis at these points. The y-intercept of any graph occurs when [tex]x=0[/tex]. Thus, the y-coordinate of the y-intercept is equal to [tex]y=0^3-3(0^2)-4(0)+12,\\y=12[/tex] and the y-intercept is (0, 12).

The graph that corresponds with this is graph A.

A random sample of 21 desktop PCs is selected. The mean life span is 6.8 years with a standard deviation of 2.4 years. Construct a 95% confidence interval for the mean life span of all desktop PCs. Assume that the life spans of all desktop PCs are approximately normally distributed (a) (5.85, 7.75) (b) (1.68, 3.12) (c) (5.60, 8.00) (d) (5.71, 7.89) (e) (5.77, 7.83)

Answers

Answer:

(d) (5.71, 7.89)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 21 - 1 = 20

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.086

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.086\frac{2.4}{\sqrt{21}} = 1.09[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 1.09 = 5.71 years

The upper end of the interval is the sample mean added to M. So it is 6.8 + 1.09 = 7.89 years

So the confidence interval is (5.71, 7.89), and the correct answer is given by option b.

The product of three consecutive numbers is divisible by ​

Answers

Answer:

6

Step-by-step explanation:

The product of three consecutive numbers is divisible by ​6

Let us say the numbers are x, x+1 , x+2

if x = 1,

Product of the three consecutive numbers,

(1)(2)(3)

=> 6, which is divisible by 6

if x = 2,

Product of the three consecutive numbers,

(2)(3)(4)

=> 24, which is divisible by 6

Similarly if we take any 3 consecutive numbers their product will be divisible by 6.

Whoever helps gets Brainliest!!! PLEASE HELP!!!

Answers

The slope of the line is 0

15 friends want to order pizza for dinner. If each friend can eat 1/3 of a pizza, how many pizzas should they order?

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{15}{3} =5\\3 friends=1 pizza\\15 friends=5 pizzas\\[/tex]

HELP PLEASE! What is BD??

Answers

Answer:

[tex]BD=13[/tex]

Step-by-step explanation:

Note that Ray AC bisects ∠A. Therefore, we can use the Angle Bisector Theorem shown below.

Hence:

[tex]\displaystyle \frac{27}{x+5}=\frac{12}{x}[/tex]

Solve for x. Cross-multiply:

[tex]12(x+5)=27(x)[/tex]

Distribute:

[tex]12x+60=27x[/tex]

Subtract 12x from both sides:

[tex]15x=60[/tex]

Divide both sides by 15. Thus:

[tex]x=4[/tex]

BD is the sum of BC and CD:

[tex]BD=BC+CD[/tex]

Substitute:

[tex]BD=x+(x+5)[/tex]

Substitute and evaluate:

[tex]BD=(4)+(4+5)=13[/tex]

Therefore, BD is 13.

One evening Papa John’s sold a total of 33 pizzas topped with pepperoni, sausage, or pepperoni and sausage. There were 29 pizzas that had pepperoni. Of these, 15 also had sausage. How many more pizzas had pepperoni only than had sausage only?

Answers

Answer:

10

Step-by-step explanation:

Total pizza topped with pepperoni, sausage or pepperoni and sausage = 33

Number of pizzas with pepperoni = 29

Number of pizzas with pepperoni and sausage = 15

Pizza with pepperoni only = 29 - 15 = 14

Pizza with sausage only = 33 - 29 = 4

Pepperoni only than sausage only :

14 - 4 = 10

rational numbers.
Example 6: Write any 3 rational numbers between –2 and 0.
-20
0
ondas
-​

Answers

Answer:

my firnd coli

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

help i got to pee!!!!!!!!!!!!1

Answers

Answer:

23s - 7

Step-by-step explanation:

17s - 10 + 6s + 3

=23s - 7

Answer:

[tex]23s-7[/tex]

Step-by-step explanation:

Given:

[tex]17s-10+3(2s+1)[/tex]

Distribute the parenthesis

[tex]17s-10+6s+3[/tex]

Combine like terms

[tex]23s-7[/tex]

Hope this helps

Write the following equation in the general form Ax + By + C = 0.

y - x - 1 = 0

2x - 3y + 6 = 0
2x - 3y - 6 = 0
-2x + 3y - 6 = 0

Answers

Answer:

C. -2x +3y-6=0

this is the answer

Other Questions
Review the lines from Act II, scene ii of Romeo and Juliet. Juliet: 'Tis but thy name that is my enemy; Thou art thyself though, not a Montague. What's Montague? It is nor hand, nor foot, Nor arm, nor face, nor any other part Belonging to a man. O! Be some other name: What's in a name? That which we call a rose By any other name would smell as sweet; The purpose of this speech is to illustrate Juliet's Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8. Can someone please help me with this problem The tissue layers of blood vessels from outer layer to inner layer are: How is the atomic mass of an element calculated? In its 2016 annual report, Lockheed Martin reported net earnings of $5,302 million and dividends paid of $2,048 million. Your forecast of net income for Lockheed Martin for 2017 is $5,504 million. What are projected dividends for the company for 2017 What's the surface area of this shape??? A diverging lens will always produce an image with _______.a) a negative focal length and a magnification more than 1b) a positive focal length and a magnification more than 1c) negative focal length and magnification less than 1d) a positive focal length and a magnification less than 1 When asked about paying tribute (tax or payment acknowledging respect), the Lord asked for a:Roman coinPhoenician coinJewish denariusGreek mite Which of the following statements about survivorship curves is correct? which type of conic section is represented by the equation y = (x-10)^2 - 5? how martin Luther king jr died Select the correct answer. Which of the following statements describes the command economy of the Soviet Union? A. The government allowed private businesses to produce goods and services de B. The government decided what goods and services would be produced and sup Oc. The government allowed workers to own the means of production. D. The government ensured high wages for workers.Plato answers PLEASE HELP ME! -The compound dissolves in water to form a solution with pH > 7. - The compound has a low boiling point.The elements P, Q, R and S have proton number of 1, 7, 11 and 17. Which of the following pair of elements will react to form a compound with the characteristics stated in the table above?A. P and QB. R and SC. Q and RD. P and S Deciding when to quote an original e-mail is one challenge of effective communication. In which of the following e-mails should you quote the original e-mail? (select all that apply)Answers: ACE Which of the following lists of ordered pairs is a function?A.(1, 2), (1, 2), (3, 2), (3, 4)B.(0, 2), (2, 3), (0, 2), (4, 1)C.(1, 6), (2, 7), (4, 9), (0, 5)D.(2, 4), (0, 2), (2, 4), (5, 3) It takes a train 8 hours to travel a distance of 216 km. What is the average speed of the train? Is the answer to this question 13.5 Write "five thousand six hundred eighty-five and twelve hundredths" in expanded form By writing a poem full of extreme feeling, is Keats just being dramatic, or is writing such a poem a way of making peace with strong feelings? Explain.