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3 years ago

A regular hexagonal flower pot has sides that measure x−6 units. Its perimeter is 78 units.

1 answer:

5 0

It would be: 6(x-6) = 78
6x - 36 = 78
6x = 78 + 36
x = 114/6
x = 19

In short, Your Answer would be 19

Hope this helps!

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Let

Digiron [165]

What I gather from the question is that $X$ has second moment $E(X^2)=81$ and variance $V(X) = 58$ , and you're asked to find the expectation and variance of the random variable $Y=2X+10$ .

From the given second moment and variance, we find the expectation of $X$ :

$V(X) = E(X^2) - E(X)^2 \implies E(X) = \sqrt{E(X^2) - V(X)} = \sqrt{23}$

Expectation is linear, so

$E(Y) = E(2X+10) = 2 E(X) + 10 = \boxed{2\sqrt{23} + 10}$

Using the same variance identity, we have

$V(Y) = V(2X+10) = E((2X+10)^2) - E(2X+10)^2$

and

$E((2X+10)^2) = E(4X^2 + 40X + 100) = 4E(X^2) + 40E(X) + 100 = 424 + 40\sqrt{23}$

so that

$V(Y) = V(2X+10) = (424 + 40\sqrt{23}) - (2\sqrt{23} + 10)^2 = \boxed{232}$

Alternatively, we can use the identity

$V(aX+b) = a^2 V(X) \implies V(2X+10) = 4V(X) = 232$

5 0

2 years ago

A farm lets you pick 3 pints of raspberries for $12.00. Use decimal notation if necessary.

kap26 [50]

Answer:

a=$4.00, B=1/4 a pint per dollar, c= 5

Step-by-step explanation:

8 0

2 years ago

Which expression is the same as 8x (4 x 2)?

ANTONII [103]

Answer:

64x

Step-by-step explanation:

because 4 * 2 is in parenthesis, that means you multiply 8x by them.

8x (4*2)

8x (8)

64x

5 0

3 years ago

Please Help - Point <br> x^3-4x<-5x^2+20<br> Solve in interval notation and list the zeros

Naddika [18.5K]

hi my name is antonette Jane S pascua please help me my question thank you for your answer

4 0

3 years ago

How do you convert how do you convert centimeters to inches

balu736 [363]

In order to convert centimeters to inches, you use the following equation:

1 inches = 2.54 cm

If you have to convert, for example, 4 inches, you proceed as follow:

4 inches* (2.54cm/1 inches) = 10.16 cm

That is, you multiply the quantity that you want to convert, by the quotient between 2.54cm and 1 inches.

6 0

1 year ago