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Ahat [919]
3 years ago
14

Of the factors of 12 shown, which also have a sum of 7?

Mathematics
1 answer:
barxatty [35]3 years ago
4 0
The answer is C because 3 and 4 add together to equal 7
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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
Write the slope intercept form of the equation of the line through (1,1) and slope =4
shutvik [7]

Answer:

y = 4x -3

Step-by-step explanation:

6 0
3 years ago
Bus A and Bus B leave the bus depot at 7 am.
Art [367]

Answer:

9:30 am

Step-by-step explanation:

We can make a chart and keep filling it in until we see the same time in both columns.

Bus A          Bus B

7:00             7:00

7:30             7:50

8:00            8:40

8:30           9:30

9:00            10:20

9:30

Answer: 9:30 am

We can also use the least common multiple of 30 and 50.

We need to find the smallest number that is a multiple of both 30 and 50.

30 = 2 * 3 * 5

50 = 2 * 5^2

LCD = 2 * 3 * 5^2 = 150

The first time the buses will be at the depot together after 7:00 am is 150 minutes later. 150 minutes = 2 hours 30 minutes.

7:00 am + 2 hours and 30 minutes = 9:30 am

Answer: 9:30 am

3 0
3 years ago
Read 2 more answers
A smoke jumper jumps from a plane that is 1700 ft above the ground. The function y = -16t2 + 1700 gives the jumper's height y in
lakkis [162]

Answer: (A) 6.6 sec (B) 6.89 sec

<u>Step-by-step explanation:</u>

    y    = -16t² + 1700

 1000 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -700 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

 43.75 = t²

√43.75 = √t²

   6.6 = t

***********************************

    y    = -16t² + 1700

  940 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -760 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

  47.5 = t²

√47.5 = √t²

  6.89 = t

4 0
3 years ago
Plot the point. (5,0)
Svet_ta [14]
Is there a plot?? How do I know where each point is??
5 0
2 years ago
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