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Alexandra [31]
3 years ago
5

What is the solution to the inequality?

Mathematics
2 answers:
n200080 [17]3 years ago
5 0
The solution to the inequality

7x+18\ \textgreater \ -3

is

x\ \textgreater \ -3

Hope I helped! :)
Valentin [98]3 years ago
3 0
​Answer:  [D]:  " x > -3 " . ​
__________________________________________
Explanation:
__________________________________________
<span>Given the following inequality:
__________________________________________
               7x  + 18  > - 3  ;
__________________________________________
Simplify to solve for "x" :
__________________________________________
               7x  + 18 </span>> -3  ;
 
     →   Subtract "18" from EACH SIDE of the inequality ;
___________________________________________
       7x  + 18 − 18  >  - 3  <span>− 18  ;
___________________________________________
to get:
___________________________________
                  7x  </span>><span> -21  ;
____________________________________________________
             Divide each side by "7" ;  to isolate "x" on one side of the question; and to solve for "x" ;
____________________________________________________
                  7x / 7  </span>><span>  -21 / 7 ;
____________________________________________________
to get:               x  </span>> -3  ;   which is:  <span>​ Answer choice:  [D].​</span>____________________________________________________
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n200080 [17]

Answer:

5.

2 + 3 < y

6.

y + 2 ≥ 6

5 0
3 years ago
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Can someone help me on this one please
Paul [167]

Answer:

x=-2

Step-by-step explanation

x+74+37+x+73=180

184+2x=180

-184        -184

2x=-4

x=-2

8 0
3 years ago
There are 800 students in the School of Business Administration. There are four majors in the School: Accounting, Finance, Manag
dezoksy [38]

Answer:

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

Step-by-step explanation:

For this case we can create the following table calculating the percent frequency as:

\% = \frac{X_i}{n}

Where X_i represent the number of students for the i category and n the total sample size.

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

The pie chart is on the figure attached.  We use excel to create it.

5 0
3 years ago
Describe how total job benefits and total employee compensation differ.
diamong [38]

<u>Difference between total job benefits and total employee compensation:</u>

<em>Employee compensation:</em>

  • The total employee compensation refers to the amount of money an employee is given in exchange for the tasks they complete for the employer.
  • Employee compensation is the most basic or we can say the minimum amount of money an employee is given. It mostly includes the salary of an employee.

<em>Total job benefits:</em>

  • Total job benefits are not necessarily provided in monetary means. As the name suggests, job benefits are the facilities and advantages provided by the company or the employer to the employees.
  • These benefits are generally performance- based, the better the performance, the better the benefits.
  • Job benefits may include health insurance policies, travel packages, transport facilities and much more.

5 0
3 years ago
Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the
Readme [11.4K]
<h2>Answer with explanation:</h2>

By considering the given information, we have

Null hypothesis : H_0: \mu=35.0

Alternative hypothesis : H_1: \mu\neq35.0

Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.

\overline{x}=41.0    ;    \sigma= 3.7

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

i.e. t=\dfrac{41.0-35.0}{\dfrac{3.7}{\sqrt{20}}}=7.252112359\approx7.25

Degree of freedom : n-1 = 20-1=19

Significance level = 0.01

For two tailed,  Significance level =\dfrac{0.01}{2}=0.005

By using the t-distribution table, the critical value of t =t_{19, 0.005}=2.861

Since , the observed t-value (7.25) is greater than the critical value (2.861) .

So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.

We conclude that there is some significance difference between the mean score for sober women and 35.0.

3 0
4 years ago
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