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3 years ago

Porsche’s mom told her to choose 3 crayons out if a box of 64 what is the probability she will choose red yellow and blue?

Mathematics

1 answer:

Delicious77 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

It doesn't matter what order they are chosen in, so the numerator is 64C3.

The total number of ways that you can choose any 3 crayons is 64 * 63 * 62

P(r and y and b) = 64! / (62! 3!) // 64 * 63 * 62

P(r and y and b) = 64 * 63 * 62 / 6 // 64 * 63 * 62 = 41664 / 249984 = 0.167

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Solve for x.<br> X + 142<br> 135°

Lyrx [107]

Answer:

X=-7

Step-by-step explanation:

X + 142=135°

X=135-142

X=-7

So the value of X is -7

4 0

3 years ago

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

3 years ago

Jeremy is selling m of his models on the internet for $12.50 each. Which of the following expressions describes the amount he wi

dem82 [27]

Answer:

I dont have too much info but its 12.50m

Step-by-step explanation:

12.50(1) is 12.50 12.50(2) is 25 buck and so on and so on

6 0

3 years ago

Here’s the other one, i just need two more that i will be posting, ty your and amazing person

Anuta_ua [19.1K]

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-7, 0) & (-3, 0)

Axis of Symmetry: x = -5

Y-intercept: (0, -21)

Vertex: (-5, 4)

4 0

3 years ago

Karen and her friends went to dinner at Olive Garden. Their bill was $58 including tax.

tester [92]

Answer:

$69.60

Step-by-step explanation:

58 increase 20% =

58 × (1 + 20%) = 58 × (1 + 0.2) = 69.6

6 0

3 years ago