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maksim [4K]
2 years ago
5

Solve (x+2<5) u (x-7>-6)

Mathematics
1 answer:
FrozenT [24]2 years ago
5 0

Answer:

{x | x<3 or x>1}

Step-by-step explanation:

x+2<5

x<5-2

x< 3

x-7> -6

x> -6+7

x>1

symbol U means union

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The cost to manufacture x number of chairs can be represented by the function C(x)=36x. In this context, what does the statement
ss7ja [257]

Answer:

<em>The cost to manufacture 63 chairs, and that cost is 2268.</em>

Step-by-step explanation:

<u>Mathematical Models</u>

The cost to manufacture x chairs is given as the math model:

C(x)=36x

For example, to manufacture 10 chairs, we write:

C(10)=36*10=360

According to the explained above, the statement C(63)=2268 means we are calculating the cost to manufacture 63 chairs, and that cost is 2268.

4 0
3 years ago
Pete is a politician. He claims that 32% of the households in his district have total household incomes below the poverty level.
victus00 [196]

Answer:

z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145  

For a bilateral test the p value would be:  

p_v =2*P(z>2.145)=0.0320  

Step-by-step explanation:

Information given

n=225 represent the sample selected

X=87 represent the households with incomes below the poverty level

\hat p=\frac{87}{225}=0.3867 estimated proportion of households with incomes below the poverty level

p_o=0.32 is the value that we want to test

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to check if the true proportion is equal to 0.32 or not.:  

Null hypothesis:p=0.32  

Alternative hypothesis:p \neq 0.32  

The statistic is given bY:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145  

For a bilateral test the p value would be:  

p_v =2*P(z>2.145)=0.0320  

4 0
3 years ago
Josh invested $12,000 in mutual funds and received a sum of $20,000 at the end of the investment period. Calculate the ROI.
tresset_1 [31]

Answer:

ROI = 66.67%

Step-by-step explanation:

Given:

josh investment= $12,000

Received sum= $20,000

ROI=?

ROI is the return on investment that gives the loss or gain in any investment and is calculated by the following formula:

ROI= (interest/investment) x 100

Finding interest:

interests= received sum- investment

              = 20,000-12,000

              =8000

Putting values in ROI formula we get:

ROI= (8000/12000) x 100

      = 66.67%

Hence the return on investment is 66.67%!

3 0
3 years ago
The difference between 6 times a number and 10 is 32. Find the number. (I also need the equation)
IceJOKER [234]
The equation :

6x - 10 = 32

the number

x = 7
6 0
3 years ago
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What is a mixed number between 3 and 4
bulgar [2K]

Answer:

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3 0
3 years ago
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