What is the value of g?

Answer:

[tex]1,\!848[/tex].

Step-by-step explanation:

There are two disjoint sets of ways to choose a lineup as required:

Assume that none of Alicia, Amanda, or Anna is to be selected. This lineup of [tex]6[/tex] would then need to be selected from a set of [tex]14 - 3 = 11[/tex] players (which excludes Alicia, Amanda, and Anna.)

The number of ways of selecting (without order) [tex]6[/tex] items out of a set of [tex]11[/tex] (distinct) items is equal to the combination:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 6\end{pmatrix} &= \frac{11!}{(6!)\, (11 - 6)!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Assume that Alicia is selected, but neither Amanda nor Anna is selected. The other [tex]6 - 1 = 5[/tex] players in this lineup would then need to be selected from a set of [tex]14 - 1 - 2 = 11[/tex] players. (This set of [tex]11[/tex] excludes Alicia, Amanda, and Anna.)

The number of ways to select [tex]5[/tex] items from a set of [tex]11[/tex] items is:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 5\end{pmatrix} &= \frac{11!}{(5!)\, (11 - 5)!} \\ &= \frac{11!}{5! \times 6!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Similarly, there would be another set of [tex](11!) / (6! \times 5!)[/tex] distinct ways to select the lineup if Amanda is selected, but neither Alicia nor Anna is.

Likewise, the number of ways to select the lineup with Anna but neither Amanda nor Alicia would also be [tex](11!) / (6! \times 5!)[/tex].

These sets of configurations for the lineup are pairwise disjoint from one another. Thus, the total number of ways to select this lineup would be:

[tex]\begin{aligned}& \begin{pmatrix}11 \\ 6 \end{pmatrix} + 3 \times \begin{pmatrix}11 \\ 5 \end{pmatrix} \\ =\; & \frac{11!}{6! \times 5!} + 3 \times \frac{11!}{6! \times 5!} \\ =\; & \frac{4 \times 11!}{6! \times 5!} \\ =\; & \frac{4 \times 11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2} \\ =\; & \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 3 \times 2} \\ =\; & 1,\!848\end{aligned}[/tex].

Answer:

e

Step-by-step explanation:

e

Answer:

$0.20

Step-by-step explanation:

3.95/20 = 0.1975

0.1975 would round up to 0.20

Answer:

$0.1975

Step-by-step explanation:

Do $3.95 divided by 20 so you can find the proportion of 1 ounce

Answer:

The equation of a parabola is

[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]

The general form is:

[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]

The vertex form is:

[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

[tex]( - \frac{13}{2} \: ,0)[/tex]

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

[tex](0, - 4 - \sqrt{3)} [/tex]

[tex](0, - 4 + \sqrt{3)} [/tex]

Answer:

C. Reflection, translation

Step-by-step explanation:

If we compare Figure A to Figure B, you might notice that they mirror each other. This means that Figure A was reflected. Now, if we take a look at Figure B and Figure C, you should see that both figures are the exact same shape, size, and facing the same direction. The only thing that changed was the location. So, this means that Figure B was translated.

I hope this helps! Have a lovely day!! :)

[tex]\text{L.H.S}\\\\=4\sin(-x) \cos(-x)\\\\=-4\sin x \cos x\\\\=-2 \cdot 2 \sin x \cos x\\\\=-2 \sin 2x\\\\=\text{R.H.S}\\\\\text{The identity is true.}[/tex]

Answer:

800ml

Step-by-step explanation:

solution A= 2% alcohol

solution B=7% alcohol

1200ml=1.2L

1200ml=1200cm^3

X= solution B

solution A + solution B=(1200+x)cm^3

% alcohol= amount of alcohol/total solution(AorB)×100

☆in 1200ml of solution A there's

0.02x1200

2x12

=24ml of alcohol (in 1200ml of solution A)

0.07x X

=0.07Xml of alcohol (in some ml of solution B)

(24+0.07X)ml of alcohol in = solution A and solution B

solution A + solution B= 1200+X

0.04 (1200+X)=24+0.07X

48+0.04X=24+0.07X

48-24=0.07X-0.04X

24=0.03X

X=800ml

since we know the diameter is 50, then its radius is half that or 25.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]

Answer: Tenths place.

Step-by-step explanation:

0.20

The 2 is part of the tenths place.

Answer:

$0.20

Step-by-step explanation:

1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Two dimes = $0.20

Or 1/4 of a dollar

Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.

Answer:

what is your question??????

Step-by-step explanation:

Answer:

Not entirely sure about this because it was grabbed from someone else

There are 210 ways to win 1st place

There are 209 ways to win 2nd place

There are 208 ways to win 3rd place

Every time an award is won, a spot if taken, therefore one person is eliminated from possibly taking that spot.

Hope that makes sense :)

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The number of contestants is 210.

The number of ways of contestants who won the first prize will be given as,

⇒ ²¹⁰C₁

⇒ 210

The number of ways of contestants who won the second prize will be given as,

⇒ ²⁰⁹C₁

⇒ 209

The number of ways of contestants who won the third prize will be given as,

⇒ ²⁰⁸C₁

⇒ 208

Then the total number of ways of contestants can win first, second, and third prizes will be

⇒ 210 x 209 x 208

⇒ 9,129,120

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Answer:

18.2%

Step-by-step explanation:

For this, you want to take the amount of 70 year old men that will die in the next 10 years and divide it by the total amount of men.

The table states "number out of 1,000 men" so this means there are 1000 total men in this study.

So:

182/1000 = 0.182 = 18.2%

[tex] \cos(2x) = \cos(x) [/tex]

Solution (1)

[tex]2x = x + 2k\pi[/tex]

[tex]2x - x = 2k\pi[/tex]

[tex]x = 2k\pi[/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

[tex]2x = - x + 2k\pi[/tex]

[tex]2x + x = 2k\pi[/tex]

[tex]3x = 2k\pi[/tex]

[tex]x = \frac{2k\pi}{3} [/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

Answer:

x=2

y=2

Step-by-step explanation:

x+3y=8

- x-4y=-6

7y=14

y=14/7

y=2

x+3(2)=8

x+6=8

x=8-6

x=2

y=2

x=2