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quester [9]
3 years ago
11

Please help me on number 8.

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
6 0
Original price of skate board = $130
25% of its price(Discount)= 25/100*130 =$ 32.50
Price after discount = $130-$32.50 = $97.50

Amount Josie has = $90
Amount Josie needs more = 97.50 - 90 = $7.50
Natali [406]3 years ago
6 0
First, work out the discounted price of the skateboard. 

25% = 25
100 - 25 = 75

($130 × 75) ÷ 100 (to get the answer as a percentage) = $97.50. 

If Josie has $90, you work out how much more she needs by doing $97.50 - $90, which is $7.50.

The answer is $7.50. 
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Step-by-step explanation:

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

And the deviation would be:

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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:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

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:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

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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