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miskamm [114]
2 years ago
5

Luke has 48 books.He puts 7 books in a box.How many boxes can he fill?explain how you interpreted the remainder

Mathematics
2 answers:
dem82 [27]2 years ago
6 0
6 boxes of books with 1 left over
Alex17521 [72]2 years ago
3 0
48 books divided by 7 books per box. So since 7 can go into 48 6 times to make 42, the remainder is 6 books are left out. 6 boxes are filled. I interpreted the remainder by subtracting 42 from 48. And that's all I did. :)

I hope you like this answer and have a good night! :D
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Let f(x) = -6x + 3 and g(x) = 5x + 4. Find and state its domain.
ollegr [7]
The domain <span> of a </span>function<span> is the set of "input" or argument values for which the </span>function is defined.<span>The domain is all the values that </span>x<span> is allowed to take on. 

The domain of the function   </span><span>f(x) = -6x + 3 are all real numbers. 

The domain of a function g(x) = 5x + 4  are also all real number.</span>
4 0
3 years ago
PLEASE HELP!!!!!!!!!
Phantasy [73]

Part A : Substitution

Elimination

Argumentated matrices.

Part B :

1. Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation. This is achieved by isolating the other variable in an equation and then substituting values for these variables in other another equation.

2. Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.

3. Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.

Part C :

7x +y = 14

5x + y = 4

X= 5 and y = - 21

Hope this Helps : )

6 0
3 years ago
Estimate the quotient to the nearest whole number by using compatible numbers 7.73 divided by 1.73
Alex73 [517]
If you divide on a calculator, you get 4.468208092, so I would say the answer is 4.4, since the number after 4 is 6, which is more than 5, I round to the 4. Hope this helps! 

Aye Sir!
5 0
2 years ago
What is the importance of polynomial functions and how this real life applications improve or contribute to the value of life
-Dominant- [34]

Answer:

<u><em>What is the importance of polynomial functions?</em></u>

<u><em> </em></u>Polynomials are an important part of the "language" of mathematics and algebra. They are used in nearly every field of mathematics to express numbers as a result of mathematical operations. Polynomials are also "building blocks" in other types of mathematical expressions, such as rational expressions.

<u><em /></u>

<u><em /></u>

<u><em /></u>

<u><em>How these real-life applications improve or contribute to the value of life?</em></u>

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. Combinations of polynomial functions are sometimes used in economics to do cost analyses, for example. Engineers use polynomials to graph the curves of roller coasters and bridges.

6 0
2 years ago
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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 population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
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