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ki77a [65]
3 years ago
13

If 1/2 a = 11 what does a equal

Mathematics
2 answers:
victus00 [196]3 years ago
7 0

Answer:

22

Step-by-step explanation:

11*2

Shalnov [3]3 years ago
7 0

\huge\text{Hey there!}

\mathsf{\dfrac{1}{2}a =11}

\large\textsf{MULTIPLY 2 to BOTH SIDES}

\mathsf{2\times\dfrac{1}{2}a= 11\times 2}

\mathsf{CANCEL\  out: 2 \times \dfrac{1}{2}\ because\ that\ gives\ you\ 1}

\mathsf{KEEP: 11 \times 2\ because\ that\ helps\ you\ solve\ for\ a }

\large\textsf{New equation: } \mathsf{a = 11\times2}

\mathsf{a = 11 \times2 }

\mathsf{\bold{22} = 11 \times 2}

\boxed{\boxed{\large\textsf{Therefore, your \underline{answer} is: \huge\bf a = 22}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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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

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<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} } } ]

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                                    = [21.34, 26.49]

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

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