What's the answer to 2(12-8x)=x-11x

Suppose P( A) = 0.60, P( B) = 0.85, and A and B are independent. The probability of the complement of the event ( A and B) is: a

diamong [38]

Answer: a. 0.4 × 0.15 = 0.060

Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.

For P(A):

P(A') = 1 - 0.6

P(A') = 0.4

For P(B):

P(B') = 1 - 0.85

P(B') = 0.15

To determine probability of A' and B':

P(A' and B') = P(A')*P(B')

P(A' and B') = 0.4*0.15

P(A' and B') = 0.06

Probability of the complement of the event is 0.060

5 0

3 years ago

Parallelograms can be used to prove statements about triangles. True False

maw [93]

The answer to this is true

3 0

4 years ago

Read 2 more answers

Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsi

AURORKA [14]

Answer:

A:

C -20 -15 -5

F(C) -4 5 23

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I need to know x . if you could also explain that would be nice

defon

Answer:

x = 7.5

Step-by-step explanation:

Since the midsegment and the third segment of the triangle are parallel to each other, therefore,

$\frac{8 + 10}{8} = \frac{6 + x}{6}$

$\frac{18}{8} = \frac{6 + x}{6}$

$\frac{9}{4} = \frac{6 + x}{6}$

Cross multiply

$9*6 = 4(6 + x)$

$54 = 24 + 4x$

Subtract 24 from each side

54 - 24 = 4x

30 = 4x

Divide both sides by 4

30/4 = x

7.5 = x

x = 7.5

4 0

3 years ago

Find a parametric representation for the part of the cylinder y2 + z2 = 49 that lies between the planes x = 0 and x = 1. x = u y

sweet-ann [11.9K]

Answer:

The equation for z for the parametric representation is $z = 7 \sin (v)$ and the interval for u is $0\le u\le 1$ .

Step-by-step explanation:

You have the full question but due lack of spacing it looks incomplete, thus the full question with spacing is:

Find a parametric representation for the part of the cylinder $y^2+z^2 = 49$ , that lies between the places x = 0 and x = 1.

$x=u\\ y= 7 \cos(v)\\z=? \\ 0\le v\le 2\pi \\ ?\le u\le ?$

Thus the goal of the exercise is to complete the parameterization and find the equation for z and complete the interval for u

Interval for u

Since x goes from 0 to 1, and if x = u, we can write the interval as

$0\le u\le 1$

Equation for z.

Replacing the given equation for the parameterization $y = 7 \cos(v)$ on the given equation for the cylinder give us

$(7 \cos(v))^2 +z^2 = 49 \\ 49 \cos^2 (v)+z^2 = 49$

Solving for z, by moving $49 \cos^2 (v)$ to the other side

$z^2 = 49-49 \cos^2 (v)$

Factoring

$z^2 = 49(1- \cos^2 (v))$

So then we can apply Pythagorean Theorem:

$\sin^2(v)+\cos^2(v) =1$

And solving for sine from the theorem.

$\sin^2(v) = 1-\cos^2(v)$

Thus replacing on the exercise we get

$z^2 = 49\sin^2 (v)$

So we can take the square root of both sides and we get

$z = 7 \sin (v)$

4 0

3 years ago