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steposvetlana [31]
3 years ago
6

Please help me on this

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

C. 4 weeks

Step-by-step explanation:

We have the formula

s = 16 \sqrt{7t} + 62

We are looking for the value of t (number of weeks) when s = 150.

So, we isolate t (well, almost isolate, because it would be hard to read)

(\frac{s - 62}{16} )^{2}  = 7t

If we replace s by 150 we get:

7t = (\frac{150 - 62}{16} )^{2} =  (\frac{88}{16} )^{2} =  (5.5 )^{2} = 30.25

We have 7t = 30.25.  If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.

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A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
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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:

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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