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ANEK [815]
3 years ago
5

What is $50.31 into a fraction

Mathematics
2 answers:
abruzzese [7]3 years ago
6 0
Person above me is correct lol
bonufazy [111]3 years ago
5 0

Answer:

50 31/100

Step-by-step explanation:

There is not much that can be done to figure out how to write 50.31 as a fraction, except to literally use what the decimal portion of your number, the .31, means. Since there are 2 digits in 31, the very last digit is the "100th" decimal place. So we can just say that .31 is the same as 31/100.

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Which function is the inverse of ?<br> f(x)=50,000(0.8)^x
IrinaK [193]
Answer:

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8)</span></span></span></span>

Explanation:

write as : <span>y=50000<span><span>(0.8)</span>x</span></span>

Taking logs:

<span><span>log<span>(y)</span></span>=<span>log<span>(50000)</span></span>+<span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span></span>

But <span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span> is the same as <span>x<span>log<span>(0.8)</span></span></span>

Thus
<span>x=<span><span><span>log<span>(y)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

</span></span></span></span></span>Now swap the x'x and the y's giving:<span><span><span><span><span>
</span></span></span></span></span>

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

my teacher helped a little bit


</span></span></span></span></span>

4 0
3 years ago
A laboratory scale is known to have a standard deviation (sigma) or 0.001 g in repeated weighings. Scale readings in repeated we
weqwewe [10]

Answer:

99% confidence interval for the given specimen is [3.4125 , 3.4155].

Step-by-step explanation:

We are given that a laboratory scale is known to have a standard deviation (sigma) or 0.001 g in repeated weighing. Scale readings in repeated weighing are Normally distributed with mean equal to the true weight of the specimen.

Three weighing of a specimen on this scale give 3.412, 3.416, and 3.414 g.

Firstly, the pivotal quantity for 99% confidence interval for the true mean specimen is given by;

        P.Q. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weighing of specimen = \frac{3.412+3.416+3.414}{3} = 3.414 g

            \sigma = population standard deviation = 0.001 g

            n = sample of specimen = 3

            \mu = population mean

<em>Here for constructing 99% confidence interval we have used z statistics because we know about population standard deviation (sigma).</em>

So, 99% confidence interval for the population​ mean, \mu is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5% level

                                                            of significance are -2.5758 & 2.5758}

P(-2.5758 < \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < 2.5758) = 0.99

P( -2.5758 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X - \mu} < 2.5758 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.99

P( \bar X-2.5758 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+2.5758 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.99

<u>99% confidence interval for</u> \mu = [ \bar X-2.5758 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+2.5758 \times {\frac{\sigma}{\sqrt{n} } } ]

                                             = [ 3.414-2.5758 \times {\frac{0.001}{\sqrt{3} } } , 3.414+2.5758 \times {\frac{0.001}{\sqrt{3} } } ]

                                             = [3.4125 , 3.4155]

Therefore, 99% confidence interval for this specimen is [3.4125 , 3.4155].

6 0
3 years ago
Priscilla can make 4 bracelets in 17 minutes. At this rate, how many bracelets can she make in 34 minutes?
andrew11 [14]
4 bracelets/17 minutes = x bracelets/34 minutes
cross multiply: 4 · 34 = 17 · x
Divide both sides by 17: (4 · 34)/17 = x
x = 8

Answer: 8 bracelets
6 0
3 years ago
Joseph read 9 books in 15 months. what was his rate of being in books per month?
inna [77]

Answer:

0.6 books

Step-by-step explanation:

Divide 9 by 15 to get 0.6 books a month

5 0
3 years ago
Multiply or divide as indicated. x^4 • x^-2
Anettt [7]

The answer is 0 unless I did the math wrong


If so someone correct me. Other than that, hope this helped!

8 0
3 years ago
Read 2 more answers
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