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Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

Answer:

5

Step-by-step explanation:

Answer:

[tex]c=20[/tex]

Step-by-step explanation:

The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:

[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]

Answer:

2: a2-x2

4: b2-2bx+x2

6: -2bx

Step-by-step explanation:

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

More about the triangle link is given below.

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[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

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Answer:

Your answer is 264

Step-by-step explanation:

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

PLEASE MARK BRAILIEST

Answer:

−2(3x+12y−5−17x−16y+4)

=(−2)(3x+12y+−5+−17x+−16y+4)

=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)

=−6x−24y+10+34x+32y−8

=28x+8y+2

Answer:

[tex]\huge\boxed{\sf x \geq -154}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{11} - 6\geq -20[/tex]

Add 6 to both sides

[tex]\displaystyle \frac{x}{11} \geq -20+6\\\\\frac{x}{11} \geq -14[/tex]

Multiply both sides by 11

x ≥ -14 × 11

[tex]\rule[225]{225}{2}[/tex]

Hello !

Answer:

[tex]\Large\boxed{\sf x\ge -154}[/tex]

Step-by-step explanation:

Let's solve the following inequality :

[tex]\sf \frac{x}{11}-6\ge -20[/tex]

Add 6 to both sides :

[tex]\sf \frac{x}{11}-6+6\ge -20+6[/tex]

[tex]\sf \frac{x}{11}\ge -14[/tex]

Multiply both sides by 11 :

[tex]\sf \frac{x}{11}\times 11\ge -14\times 11[/tex]

[tex]\boxed{\sf x\ge -154}[/tex] or [tex]\sf x\in [-154, +\infty)[/tex]

▪ Learn more about inequalities here:

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Have a nice day

Ater 4 years, the first year student will have $270.60 in their savings account using compound interest and the given principal amount.

When money is deposited or borrowed, simple interest is calculated on the initial sum, whereas compound interest is computed on the initial sum plus any interest gained. Simple interest simply applies the interest rate once to the starting sum; compound interest applies it numerous times to both the principle and any accrued interest. When interest is paid on interest, compound interest often yields a bigger return on investment over time than simple interest.

The compound interest is given by the formula:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

where,

A is the amount of money after 4 years

P is the initial deposit of $250

r is the annual interest rate of 2% = 0.02.

n = 1 and

t = the number of years = 4.

Substituting the values we have:

[tex]A = 250(1 + 0.02/1)^{(1*4})\\A = 250(1.02)^4\\A = 250(1.0824)\\A = 270.60[/tex]

Hence, after 4 years, the first year student will have $270.60 in their savings account.

Learn more about interest here:

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Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

Answer:

[tex]a=4.1[/tex]

Step-by-step explanation:

The Law of Cosines is given as:

[tex]a^2=c^2+b^2-2cb\cos A[/tex].

Plugging in given values, we get:

[tex]a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}[/tex].

Answer:

The answer for Acellus people is a=4.1

Step-by-step explanation:

Answer:

point slope form.

Step-by-step explanation:

this is different from slope intercept form. use these when dealing with cartesian graphs using slope and points along x, y

9514 1404 393

Answer:

  (a)  y = 1/2x + 2

Step-by-step explanation:

The only equation that matches the first table entry is ...

  y = 1/2x +2

  3 = (1/2)(2) +2 . . . . first table entry

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Answer:

g(-1)=1/1296

g(.25)=1/6

g(0)=1

g(.25)=6

g(.50)=36

g(.75)=216

​g(1)=1,296

:)

Answer:

pure out 8 gallons

Step-by-step explanation:

Im big brain.

Step-by-step explanation:

removing 8 gallons of water from a fish tank

Answer:

5,000

Step-by-step explanation:

x× 5 %=250

x=250×100÷5=5000

Answer:

okkokokokokokoookkijoiig

Answer:

4

Step-by-step explanation:

Answer:

20 / 4 =5

Step-by-step explanation:

I think

Answer:oop I put the answer in da wrong play my bad have a good day or night

Step-by-step explanation:

M=2

Answer:

47 apples

Step-by-step explanation:

50 apples - 3 apples

47 apples

Answer:

56 apples

Step-by-step explanation:

Answer:surface area is 24

Step-by-step explanation:

Answer:

I think 1.5 i could be wrong is there options?

Step-by-step explanation: