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Inga [223]
3 years ago
14

6 eggs weigh 3/4 of a pound. How much does each egg weigh?

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0

Each\: egg\: weight: \frac{3}{4}  \div 6 =  \frac{1}{8}  \: of \: a \: pound

steposvetlana [31]3 years ago
5 0

3/4÷6/1=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

3/4×1/6=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

3×1/4×6=3 2/4

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 24 using

GCF(3,24) = 3

3÷324÷3=18

Therefore:

3/4÷6/1=1/8

Solution by Formulas

Apply the fractions formula for division, to

34÷61

and solve

3×14×6

=324

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(3,24) = 3

3÷324÷3=18

Therefore:

3/4÷6/1=1/8

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3 years ago
Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig
Debora [2.8K]

Answer:

P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean        μ₀  =  1730

Standard Deviation      σ  = 257

We need to calculate  z scores for the values   1689     and      2267

We apply formula for z scores

z =  ( X -  μ₀ ) /σ

X = 1689     then

z = (1689 - 1730)/ 257      ⇒ z = - 41 / 257

z  = -  0.1595

And from z table we get  for  z =  - 0,1595

We have to interpolate

        - 0,15          0,4364

        - 0,16          0,4325

Δ  =   0.01           0.0039

0,1595  -  0,15  =  0.0095

By rule of three

0,01                  0,0039

0,0095                 x ??      x  =  0.0037

And    0,4364  -  0.0037  = 0,4327

Then    P [ X ≤ 1689 ]  =  0.4327     or    P [ X ≤ 1689 ]  = 43,27 %

And for the upper limit  2267  z  score will be

z  =  ( X - 1730 ) / 257       ⇒  z =  537 / 257

z  =  2.0894

Now from z table   we find  for score   2.0894

We interpolate and assume  0.9815

P [ X ≤ 2267 ]  =  0,9815

Ths vale already contains th value of   P [ X ≤ 1689 ]  =  0.4327

Then we subtract  to get    0,9815  -  0,4327   = 0,5488

Finally

P [ 1689  ≤   X  ≤  2267 ]  =  0,5488  or  P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

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