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taurus [48]
2 years ago
8

Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.

Mathematics
1 answer:
Andrej [43]2 years ago
4 0

Answer:

1.6 m = 5.3 ft

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Find each quotient. Write in simplest form. keep answer as fraction - not decimal
kirill [66]

So we are given the expression:

\frac{mn^{2}}{4} ÷ \frac{m^{2}n}{8}

When we divide fractions, we must flip the second term and change the sign to multiplication:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}

And then we multiply across:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}

Then we can break apart all of the like variables for simplification:

\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

\frac{8}{4} =2

\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}

\frac{n^{2}}{n}=n^{1}=\frac{n}{1}

So then we multiply all of these simplified parts together:

\frac{2}{1}*\frac{1}{m}*\frac{n}{1}   =\frac{2n}{m}

So now we know that the simplified form of the initial expression is: \frac{2n}{m}.

3 0
2 years ago
University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami
vladimir2022 [97]
The confidence interval is
0.59\pm0.081

We first find p, our sample proportion.  118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081

This gives us the confidence interval 
0.59\pm0.081
8 0
3 years ago
Leo needs 1010 red roses and 1515 pink daisies for every 55 bouquets he makes for a flower shop. Drag red roses and pink daisies
user100 [1]
[(1515+1010) / 55] x 33 = 1515

If you calculate separately for pink and red using above formula (909pink, 606red, which equals to the same 1515)

Hope that answers it for you..
8 0
3 years ago
What is the value of x in the equation 3.5x = 105
levacccp [35]

Answer:

x=30

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

105/3.5=30

4 0
2 years ago
Can u PLEASE help with problem 3. and 4. (ONLY IF YOU KNOW)
Rina8888 [55]
It would help if we were able to see the previous exercises to help you with these.
3 0
3 years ago
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