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3 years ago

If 6:7 = p:14, what is the value of p?

Mathematics

2 answers:

iragen [17]3 years ago

6 0

Answer:

Step-by-step explanation:

14/7 = 2

So, 6 x 2 = 12.

sdas [7]3 years ago

4 0

Answer:

p =12

Step-by-step explanation:

6:7

The second number is 14 so 14/7 =2

Multiply each part by 2

2*6 : 2*7

12 : 14

p =12

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$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

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For 67 - 74

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For 75 - 82

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For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

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$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

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$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

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This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

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If 6:7 = p:14, what is the value of p?​

If 6:7 = p:14, what is the value of p?