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3 years ago

15

Which expression is equivalent

1 answer:

VLD [36.1K]3 years ago

8 0

Answer:

B)

Step-by-step explanation:

You must divide these fractions with square roots:

$18x^{2}$ $\sqrt{14x^8}$ / 6 $\sqrt{7x^4}$ = $3x^{2}$ $\sqrt{2x^4}$ = $3x^{2}\sqrt{2}x^{2}$ = $3x^4\sqrt{2}$

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( EXTRA POINTS PLEASE HELP ) in a triangle the value of (h) is 3/4 the side length which is 4.8 measure meters was that area of

kotykmax [81]

Step-by-step explanation:

$h = \frac{3}{4} 4.8 \ = \\ = 3 \times 1.2 = 3.6$

$area = \frac{3.6 \times 4.8}{2} = \\ = 3.6 \times 2.4 = \\ = 8.64$

3 0

3 years ago

Exercise 5.2. Suppose that X has moment generating function

soldi70 [24.7K]

Answer:

a) Mean, E(X) = - 0.5

Variance = = 9.25

b) $M_{X}(t)=E(e^{tX})$

or

⇒ $=\sum e^{tx}p(x)$

⇒ $=\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}$

Step-by-step explanation:

Given:

moment generating function of X as:

MX(t) = $\frac{1}{2} + \frac{1}{3}e^{-4t} + \frac{1}{6} e^{5t}$

a) Now

Mean, E(X) = $M_{X}'(t=0)$

Thus,

$M_{X}'(t)=\frac{1}{3}(-4)e^{-4t}+\frac{1}{6}(5)e^{5t}$

or

$M_{X}'(t)=\frac{-4}{3}e^{-4t}+\frac{5}{6}e^{5t}$

also,

$E(X^{2})=M_{X}''(t=0)$

Thus,

$M_{X}''(t)=\frac{-4}{3}(-4)e^{-4t}+\frac{5}{6}(5)e^{5t}$

or

$M_{X}''(t)=\frac{16}{3}e^{-4t}+\frac{25}{6}e^{5t}$

Therefore,

Mean, E(X) = $M_{X}'(t=0)=\frac{-4}{3}e^{-4(0)}+\frac{5}{6}e^{5(0)}$

or

Mean, E(X) = - 0.5

and

$E(X^{2})=M_{X}''(t=0)=\frac{16}{3}e^{-4(0)}+\frac{25}{6}e^{5(0)}$

or

$E(X^{2})$ = 9.5

also,

Variance(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

b) Now,

Let f(x) be the PMF of X

Thus,

$M_{X}(t)=E(e^{tX})$

or

⇒ $=\sum e^{tx}p(x)$

⇒ $=\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}$

Therefore,

at x = 0, P(x) = $\frac{1}{2}$

at x= - 4 ,P(x) = $\frac{1}{3}$

at x = 5, P(x) = $\frac{1}{6}$

Thus,

E(X) = $\sum xP(x)=0(\frac{1}{2})+(-4)(\frac{1}{3})+5(\frac{1}{6})$

or

E(X) = - 0.5

also, $E(X^{2})=\sum x^{2}P(x)=0^{2}(\frac{1}{2})+(-4)^{2}(\frac{1}{3})+5^{2}(\frac{1}{6})$

$E(X^{2})$ = 9.5

Hence,

Var(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

4 0

4 years ago

isabel thinks she has space for a 45 inch wide book case it turns out she only has space for a 40 inch wide book case what is th

Minchanka [31]

Answer:

The percent error in Isabel's measurement is <u>12.5%</u>.

Step-by-step explanation:

Given:

Isabel thinks she has space for a 45 inch wide bookcase it turns out she only has space for a 40 inch wide bookcase.

Now, to find the percent error in Isabel's measurement.

Measurement she thinks = 45 inch.

The actual measurement = 40 inch.

<u><em>So, the error in measurement</em></u> = $45-40=5\ inch.$

Now, to get the percent error of the measurement:

$\frac{5}{40} \times 100$

$=\frac{500}{40}$

$=12.5\%.$

Therefore, the percent error in Isabel's measurement is 12.5%.

6 0

4 years ago

Find two numbers whose sum is 29 and whose difference is 15

gizmo_the_mogwai [7]

The two numbers are 22 and 7.
22 + 7 = 29
22 - 7 = 15
here is how we can find these numbers;
let a and b are two numbers
a + b = 29
a - b = 15
a = 15 + b
now put this value of a in any of the equation
a + b = 29
15 + b + b = 29
15 + 2b = 29
2b = 29 - 15
2b = 14
b = 7
now put the value of b to find the value of a;
a = 15 + b = 15 + 7 = 22
a = 22

4 0

4 years ago

Which formula can be used to describe the sequence?

victus00 [196]

Answer:

B could be used to show the formula to describe the sentence

3 0

3 years ago