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Nat2105 [25]
3 years ago
8

14/15 divided by 7/5

Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

  \dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}

__

2) use the numerators when the denominators are the same

  \dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}

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10x-2(5x+2)=12
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3 years ago
baker has 3 1/2 bags of flour. each bag holds 5 1/3 pounds of flour . how many pounds of flour does the baker have in all.
vlada-n [284]
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Listed below are the weights in pounds of 11 players randomly selected from the roster of the Seattle Sea-hawks when they won Su
weeeeeb [17]

Answer:

No. These measures show a thinner team of NFL players according to the mean, variance, standard deviation, and quartiles.

Step-by-step explanation:

1) The measures of variation, namely The Range, Variance, Quartiles, Interquartiles, Sum of Squares, etc. shows us how the data are dispersed.

The Range Δ is calculated:

\Delta =305-189=116 Maximum value - Minimum value for weight

Mean:

\bar{x}=\frac{189+254+235+225+190+305+202+190+252+305}{11}\approx 231.09 \:pounds

Variance:

s^{2}=\frac{\sum_{i=1}^{n} (x_i-\bar{x})^{2}}{n-1}\Rightarrow s=1923.69\\

The Standard Deviation of the sample

s=\sqrt{s^{^{2}}}\Rightarrow s\approx 43.86\\

2) Since there is no preceding exercise, the comparison was made to a recent study in which a NFL player average weight is about 245 pounds (average),

Since 25% of this list are player whose weight is 192.5 lbs and 50% (2nd Quartile) =225 lbs , finally only at the 3rd Quartile we have players above the regular NFL average with 253. This, added with the other data, allow us to say that this list is not a typical of all NFL players.

4 0
3 years ago
Use the function notation to write a recursive formula to represent the sequence: 4, 8, 12, ...
melamori03 [73]

Answer:

The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

i.e. 4+4 = 8

     8+4 = 12

     12+4 = 16  and so on.

Since the next term is obtained by adding 4 to the previous term.

<em>So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, .... </em>

<em>Verification: </em>

<em>                 f(n) = f(n-1) + 4</em>

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

<em>                f(2) = f(2-1) + 4</em>

<em>                f(2) = f(1) + 4</em>

<em>                f(2) = 4 + 4</em>

<em>                f(2) = 8</em>

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

<em>                 f(3) = f(3-1) + 4</em>

<em>                 f(3) = f(2) + 4</em>

<em>So, adding 4 in f(2)=8 would give us the next term i.e. 12</em>

<em>                f(3) = 8 + 4</em>

<em>                 f(3) = 12</em>

<em />

Keywords: recursive formula, sequence

Learn more about using recursive formula from brainly.com/question/1851471

#learnwithBrainly<em> </em>

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