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juin [17]
3 years ago
11

Solve the question 12 = 24x + 12.

Mathematics
2 answers:
Kisachek [45]3 years ago
4 0

Answer:

The answer is 0.

Step-by-step explanation:

atroni [7]3 years ago
4 0

Answer:

x=0

Step-by-step explanation:

12=24x+12

Swap sides so that all variables are on the left side.

24x+12=12

Subtract 12 from both sides.

24x=12-12

Subtract 12 from 12 to get 0.

24x=0

The product of two numbers is equal to 0 if one of them is 0. Since 24 is not equal to 0, x must equal 0.

x=0

have a nice day!

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The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8
Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴  y = \frac{80}{5}

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory =  The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = \frac{146}{32} = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

3 0
3 years ago
Read 2 more answers
Which of the following statements is biconditional?
bazaltina [42]

Answer with Step-by-step explanation:

We are given some statements

We have to find that which statements is bi-conditional

We know that

Bi-Conditional statement:It is combination of conditional statement and its converse written as  if and only if .Bi- conditional statement is true if and only both the conditions are true.

1.I am sleeping if and only if I am snoring.

If I am sleeping then I am snoring .Then,it may be true or may not be  true.

If I am snoring then I am sleeping .It is true.

Its one side true result.So, it is not bi conditional true statement.

2.Mary will eat pudding today if and only if is custard.

If Mary will eat pudding today then it is custard.It may or may not be true because pudding can be any soft sweet desserts.It is not necessary that it is custard only.

If it is custard then Mary will east pudding today.It is true, because it is soft sweet dessert.

Hence, it is one side true. Therefore, It is not bi- conditional true.

3.It is raining if and only if it is cloudy.

If it is raining then it is cloudy .It is true.

But if it is cloudy then it is raining. It  may be true or may not be true.

Hence, it is one side true result.Therefore, it is not bi conditional true.

Therefore, any given statement is not both side true.

So, the answer is none of the above because bi conditional statement is true if and only if both the conditions are true.

7 0
3 years ago
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
Explanation and show work please.
VARVARA [1.3K]

Answer would be A) -410 feet because you just add or subtract when needed that easy hope it helps! :p

4 0
3 years ago
Solve the equation<br><br> f(n)=10⋅2n for n = -2
Oksana_A [137]

Answer:

f(n)= -40.

Step-by-step explanation:

4 0
3 years ago
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