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3 years ago

Which of the following numbers is between 3/5 and 5/7

Mathematics

1 answer:

Vsevolod [243]3 years ago

5 0

Numbers 8/9 and 47/70 are between 3/5 and 5/7

Step-by-step explanation:

Step 1: Find the equivalent decimal expressions of all the given fractions to find which ones are between 3/5 and 5/7

3/5 = 0.6 and 5/7 = 0.71

Option 1 ⇒ 1/2 = 0.5

Option 2 ⇒ 3/7 = 0.43

Option 3 ⇒ 8/9 = 0.89

Option 4 ⇒ 19/35 = 0.54

Option 5 ⇒ 47/70 = 0.67

∴ 8/9 and 47/70 lies between 3/5 and 5/7

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3 years ago

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Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times

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Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

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2 years ago

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Answer:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

Step-by-step explanation:

For this case we have the following distribution given:

X 0 1 2 3 4 5 6

P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02

For this case we need to find first the expected value given by:

$E(X) = \sum_{i=1}^n X_i P(X_I)$

And replacing we got:

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Now we can find the second moment given by:

$E(X^2) =\sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

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And the variance would be given by:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

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