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olchik [2.2K]
3 years ago
14

Q1.

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

Answer:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

Step-by-step explanation:

In order to find the smallest number of units that would be possible to buy, find the least common multiple between the number of units in each box:

12\ \ 10\ \ 6\ |2\\6\ \ \ \ 5\ \ \ 3\ |2\\3\ \ \ \ 5\ \ \ 3\ |3\\1\ \ \ \ 5\ \ \ 1\ |5\\1\ \ \ \ 1\ \ \ 1\ | = 2*2*3*5=60

The number of boxes required for each item to get 60 units is:

d=\frac{60}{12} = 5\ boxes \\p=\frac{60}{10} = 6\ boxes \\r=\frac{60}{6} = 10\ boxes

the smallest number of boxes of each item he could buy is:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

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8. What is the solution to the equation 3x + 5(4x-6)-8= 3x - 14? a. x = 1 b. r = 1.7 d. There are no solutions to this equation.
Verdich [7]

3x+5(4x-6)-8=3x-14

Step-by-step explanation:

Cancel out the terms on both sides of the equation. (3x)

5(4x-6)-8=-14

Distribute 5 through the parentheses.

20x-30-8=-14

Calculate the difference.

20x-38=-14

Move the constant to the right-hand side and change its sign.

20x=-14+28

Calculate the sum.

20x=24

Divide both sides of the equation by 20.

x=6/5, 1.2, or 1 1/5

Answer:

x=6/5, 1.2, or 1 1/5

Hope this helps! :)

6 0
3 years ago
Suppose u1, u2, ..., un are independent random variables and for every i = 1, ..., n, ui has a uniform distribution over [0, 1].
sattari [20]
Z=U_{(1)}=\min\{U_1,\ldots,U_n\}

has CDF

F_Z(z)=1-(1-F_{U_i}(z))^n

where F_{U_i}(u_i) is the CDF of U_i. Since U_i are iid. with the standard uniform distribution, we have

F_{U_i}(u_i)=\begin{cases}0&\text{for }u_i

and so

F_Z(z)=1-(1-F_{U_i}(z))^n=\begin{cases}0&\text{for }z

Differentiate the CDF with respect to z to obtain the PDF:

f_Z(z)=\dfrac{\mathrm dF_Z(z)}{\mathrm dz}=\begin{cases}n(1-z)^{n-1}&\text{for }0

i.e. Z has a Beta distribution \beta(1,n).
3 0
3 years ago
Exam: 05.03 Exponential and Logarithmic Functions Mid-Module Check<br><br><br> Solve 4x = 8x − 1
Fantom [35]
If 4x = 8x - 1 then 4x must be equivalent to 1. So that means x is .25 or 1/4.

Hope this helps!
(I assumed your trying to solve for x, please word the question better next time)
5 0
2 years ago
Read 2 more answers
-4(1+10a)-7&gt;-10(1+4a)-1
Brrunno [24]

Answer:

no solution.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
Lynna [10]

ANSWER

1.39

EXPLANATION

The given quadratic equation is

0 = 2 {x}^{2}  + 3x - 8

This is the same as,

2 {x}^{2}  + 3x - 8 = 0

Comparing to

a {x}^{2}  + bx  + c = 0

We have

a=2, b=3,c=-8

Using the quadratic formula, the solution is given by:

x =  \frac{ - b \pm \:  \sqrt{ {b}^{2}  - 4ac} }{2a}

We substitute the values to get,

x =  \frac{ - 3\pm \:  \sqrt{ {3}^{2}  - 4(2)( - 8)} }{2(2)}

x =  \frac{ - 3\pm \:  \sqrt{ 73} }{4}

The positive root is

x =  \frac{ - 3 + \:  \sqrt{ 73} }{4} = 1.39

to the nearest hundredth.

4 0
3 years ago
Read 2 more answers
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