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Dafna11 [192]
3 years ago
5

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Mathematics
1 answer:
poizon [28]3 years ago
5 0

3(8-4x)<6(x-5)

24 - 12x < 6x - 30

18x > 54

   x > 3

answer is B. x > 3

<em>Sure hope this helps you! :D</em>

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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
I need help getting the answer for the 1st question
Karo-lina-s [1.5K]
If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:

base 1 /height 1=base 2 /height 2

Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x

We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m

Answer. the heigth of the tower will 40 m

3 0
3 years ago
Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
aleksklad [387]

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

\sqrt[3]{}(x¹³)

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

8 0
1 year ago
What is the total price of a boat with an original price of ​12916$​, if it is sold at a ​15% ​discount? The sales tax rate is 3
Dmitriy789 [7]

Answer:

$11390.30

Step-by-step explanation:

Discount

12916 x 0.15 = 1937.4

Discounted price

12916 - 1937.4 = 10978.6

Tax of 3 and 3/4 percent which I think is 0.0375

10978.6 x 0.0375 = 411.6975

Total

10978.6 + 411.6975 = $11390.2975

7 0
2 years ago
For the following questions use f(x) = 7x and g(x) = -11+57. Use a domain of [-20,20] for both functions.
scZoUnD [109]

Answer:

So calculate the negative answers and turn them into absolute value.  Then put them in order.

Step-by-step explanation:

5 0
3 years ago
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