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SpyIntel [72]
2 years ago
15

If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4

cupcakes.​
Mathematics
1 answer:
Nikitich [7]2 years ago
7 0

Answer:

1.6 tablespoons

Step-by-step explanation:

Let’s make a proportion

syrup/cupcakes=syrup/cupcakes

4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.

4/10=x/4

Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*4/10=x/4*4

The 4s on the right will cancel, so we are left with:

4/4*10=x

1.6=x

So, 1.6 tablespoons are needed for 4 cupcakes.

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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:

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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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Answer:

Step-by-step explanation:

40*25= 1000

1000-50-264=686

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