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11Alexandr11 [23.1K]
3 years ago
7

Evaluate the expression, using the given value of the variable.

Mathematics
2 answers:
Alborosie3 years ago
4 0
A.  - 12

3 - 21+6 = -18+6 = -12
Alborosie3 years ago
3 0
3 - 7x + 2x

Plug in 3 for 'x'

3 - 7(3) + 2(3)

3 - 21 + 6

-18 + 6

-12

So our answer is A
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On Monday, it took 5 builders 3 in a half hours to build a wall.
mrs_skeptik [129]

Answer:

£83.70

Step-by-step explanation:

→ First step is to find the amount of hours it takes for one builder

We know it takes 5 builders 3\frac{1}{2} hours so 1 builder would take 5 × 3\frac{1}{2} which is \frac{35}{2} hours so it takes one builder 17.5 hours to builder a wall

→ Now we know how long one work takes we need to find out the time for 2 builders

1 builder = 17.5 hours

2 builders = 17.5 ÷ 2 = 8.75 hours

So 2 builders take 8.75 hours

→ We know that each builder is paid £9.30 for each or part hour they work so

9.30 hourly pay rate × 9 hours work of work = £83.70

Each worker will be paid £83.70

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3 years ago
7th grade math need some help with this
krek1111 [17]

Answer:

15 percent

Step-by-step explanation:

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.1.In a large bag of marbles, 25% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at
professor190 [17]
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Solve for b.
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b =✓45

Step-by-step explanation:

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8 0
3 years ago
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

Given that the confidence level is  95% then the level  of significance is mathematically evaluated as

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table, the value is  

        Z_{\frac{\alpha }{2} } =  1.96

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
3 years ago
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