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vesna_86 [32]
3 years ago
6

2

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

New area: 12ft^2

Step-by-step explanation:

1/3 of 9 is 3

1/3 of 12 is 4

Area = l x w

so 3 x 4 = 12

You might be interested in
An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y
aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average time = 23.92 minutes

             s = sample standard deviation = 6.72 minutes

             n = sample of times = 40

             \mu = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u>\mu<u> is; </u>

P(-2.426 < t_3_9 < 2.426) = 0.98  {As the critical value of z at 1%  level

                                               of significance are -2.426 & 2.426}  

P(-2.426 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.426) = 0.98

P( -2.426 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.426 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u>98% confidence interval for</u> \mu = [ \bar X-2.426 \times {\frac{s}{\sqrt{n} } } , \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 23.92-2.426 \times {\frac{6.72}{\sqrt{40} } } , 23.92+2.426 \times {\frac{6.72}{\sqrt{40} } } ]  

                                    = [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0
2 years ago
Question 5
DochEvi [55]
7383838hdueheheheueuwjhwwhjwiw82828182828
7 0
1 year ago
Help again &lt;3 ty i will very much appreciate it
krok68 [10]

Answer:

5√3 is the simplified radical expression.

3 0
3 years ago
5×-3(4×-8)=-11 helppppppp
Damm [24]

5x - 3(4x-8) = -11

5x - 12x  + 24 = -11

-7x + 24 = -11

-7x = - 35

  x = 5

4 0
2 years ago
(10x -20) (6x + 8)° <br>what is the value of x<br>​
Hoochie [10]

Answer:

X=12

Step-by-step explanation:

Add the two equations together and equate them to 180 due to the geometrical reason that angles on a straight line add up to 180.

10X-20+6X+8=180 (collect like terms)

10X+6X=180-8+20

16X=192 (Divide both sides by 16)

X=12

Hope that helps :)

7 0
2 years ago
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