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ASHA 777 [7]
3 years ago
8

The smaller of two numbers is 2 less than 3/4 the larger. The sum of the two numbers is 47. Find the value of the numbers.

Mathematics
1 answer:
Bad White [126]3 years ago
4 0
<span>x = 47 - 28 = 19 .......</span>
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The CEO of a large corporation asks his Human Resource (HR) director to study absenteeism among its executive-level managers at
Fynjy0 [20]

Answer:

Following are the answer to this question:

Step-by-step explanation:

Given:

n = 30 is the sample size.  

The mean  \bar X = 7.3 days.  

The standard deviation = 6.2 days.  

df = n-1  

     = 30-1 \\      =29

The importance level is \alpha = 0.10  

The table value is calculated with a function excel 2010:

= tinv (\ probility, \ freedom \ level) \\= tinv (0.10,29) \\ =1.699127\\ =  t_{al(2x-1)}= 1.699127

The method for calculating the trust interval of 90 percent for the true population means is:

Formula:

\bar X - t_{al 2,x-1} \frac{S}{\sqrt{n}} \leq \mu \leq \bar X+ t_{al 2,x-1}   \frac{S}{\sqrt{n}}

=\bar X - t_{0.5, 29} \frac{6.2}{\sqrt{30}} \leq \mu \leq \bar X+ t_{0.5, 29}   \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 \frac{6.2}{\sqrt{30}}\leq \mu \leq7.3 +1.699127 \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 (1.13196)\leq \mu \leq7.3 +1.699127  (1.13196) \\\\=5.37 \leq \mu  \leq 9.22 \\

It can rest assured that the true people needs that middle managers are unavailable from 5,37 to 9,23 during the years.

7 0
3 years ago
You buy books for 64 cents each, you plan to sell them for 75 cents each. You're left with 100 unsold books, and you lost $12. H
PSYCHO15rus [73]

The number of books sold is 473.

<u>Step-by-step explanation:</u>

  • The original cost of each book = $0.64
  • The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

  • The total number of books be 'x'.
  • The number of books sold be 'y'.
  • The unsold books is 100.
  • The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100  -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

8 0
3 years ago
Evaluate the following functions at x = 10 q(x)=x^2-2x+2​
Oduvanchick [21]

Answer:

82

Step-by-step explanation:

given:x=10

Evaluating,

(10)²-2(10)+2

=100-20+2

=80+2

=82

Pls mark me brainliest

5 0
3 years ago
for the fair, organizers order 32 rolls of tickets. each rolls has 100 tickets. how many tickets were ordered in all?
MatroZZZ [7]

Each roll has 100 tickets, and 32 were bought.

Multiply 32 with 100

32 x 100 = 3200

3200 tickets were bought in all

hope this helps

6 0
3 years ago
Read 2 more answers
Select all of the following that are ordered pairs of the given function.
Tatiana [17]
F(x) is the same as y.......so basically ur subbing in ur points into the equation to see if it comes out equal.

f(x) = 3 - 2x.....(-2,-1)....x = -2 and f(x) = -1
-1 = 3 - 2(-1)
-1 = 3 + 2
-1 = 5.....this is not true, so it is not a solution

and that is how to do this problem.....

(-1,5)......this IS a solution
(0,3)......this IS a solution
(1,0)...this IS NOT a solution
(2,-1)...this IS a solution

8 0
3 years ago
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