Let X denote a random variable that has a binomial distribution with p = 0.3 and n = 5. Find the following values.
a P ( X = 3) b P(X ≤ 3)
c P ( X ≥ 3) d E(X )
e V ( X )

Answer:

the answer is 2487

Step-by-step explanation: i took the test

Answer:

the unit rate of cream cheese for sugar is .8

the unit rate of sugar for cream cheese is 1.25

Step-by-step explanation:

I hope this is correct / helps! :)

Answer: 10^6

Step-by-step explanation:

When you take a power to a power, you can multiply the two powers:

10^6

Answer:

10^6 hope this helps you

Answer:

36.7 ft

Step-by-step explanation:

Measurements for the sides of the canal is given as: 40 ft. and 16 ft.

You solve the above question using Pythagoras Theorem

The distance across the canal is calculated as:

√(40² - 16²)

= √(1344)

= 36.66060556 ft

Approximately = 36.7 ft

Therefore, the distance x across the canal = 36.7 ft

Answer:

4 because 5 times 4 is 20 and 3 times 4 is 12

Answer:

c

switch them and then divide

Good luck:)

Answer:

a

b

d

i did this for notes really helps

Answer:

it is b the right to evidence lawyer.

Answer:

B. right to lawyer and providing evidence

Step-by-step explanation:

Answer:

22,417

Step-by-step explanation:

Just took the test.

Pythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane. The distance (x) from the plane (P) to the observer (O) is 22417.75 feet.

The observer angle to the plane is 42 degrees.

The height of the plane is 15000 feet.

As angle O is 42 degree and the height is 15000. Let suppose the base is y feet long. Thus angle O can be given as,

[tex]\begin{aligned} \tan42^o&=\dfrac{15000}{y} \\ y&=\dfrac{15000}{\tan42^o} \\ y&=16660\\ \end[/tex]

Thus the base of the right triangle is 16660 feet.

Pythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane.

For the given problem the  the hypotenuse side is x feet.

[tex]\begin{aligned}\\ x^2&=15000^2+16660^2\\ x&=22417.75\\ \end[/tex]

Thus the distance (x) from the plane (P) to the observer (O) is 22417.75 feet.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

Answer:

D

Step-by-step explanation:

75/100 = .75 x the Monday length (h)

Answer:

10x, 5, 3x, 1 There are four terms

2) The coefficients are 10 and 3

Answer:

18

Step-by-step explanation:

From the above question,

We have the Algebraic expression

(5x - 4)° + 94° = 180°

5x - 4° + 94° = 180°

5x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18

Answer:

18

Step-by-step explanation:

Step-by-step explanation:

[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !

When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :

✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]

[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?

We simply derived the formula from Loss = CP - SP.

First , Swap the sides of the equation :

⟶ [tex] \text{CP - SP = Loss}[/tex]

Move SP to right hand side and change it's sign :

⟶[tex] \text{CP = Loss + SP}[/tex]

This is how , CP can be obtained when we are given loss and SP.

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta  [tex]= 22.95[/tex]

Step-by-step explanation:

The resultant velocity vr = vp + vw

vp = vector velocity of plane and

vw = vector velocity of wind

vr = vector resultant velocity

in one hour the plane travels 540 miles and hence the speed is 540 mph

Hence vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta

[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]

Answer:

16g + 24 - (13g- 15)

length   -   width

perimeter = 2(length) - 2(width)

2(16g+ 24) + 2(13g-15)

32g + 48 + 26g - 30

58g + 18

Answer:

[tex]300\pi[/tex] cubic feet

Step-by-step explanation:

Let r be the radius of cone and h be the height of cone.

Radius of cylinder=r

Height of cylinder=h

Volume of cone=[tex]100\pi ft^3[/tex]

We have to find the volume of cylinder.

We know that

Volume of cone=[tex]\frac{1}{3}\pi r^2 h[/tex]

[tex]100\pi=\frac{1}{3}\pi r^2 h[/tex]

[tex]r^2 h=300[/tex]

Volume of cylinder=[tex]\pi r^2 h[/tex]

Using the formula

Volume of cylinder=[tex]\pi (300)=300\pi ft^3[/tex]

Hence, the volume of cylinder=[tex]300\pi[/tex] cubic feet

Answer:

6. 7.5/1

7. 2.4/1

8. 40/1

Step-by-step explanation:

All you have to do is divide the 2 numbers to find the unit rate.

Answer:

6: 7.5 pizzas per Classroom

7: 2.4 Liters per test

8: 40 Points per Game

Answer:

507=b x (3 x b)

507=b x 3b

507=3b^2

b^2=507/3

b^2=169

b=13

h=3 x b

h=3 x 13

h=39

Step-by-step explanation:

The height and base of the parallelogram is b = 13 cm and h = 78 cm

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A = b x h

where the base of the parallelogram is b

The height of the parallelogram is h

So , 507 = b x h

And , height is three times its base

So , h = ( b x 3 )

On simplifying , we get

507 = b ( b x 3 )

507 = 3b²

Divide by 3 on both sides , we get

b² = 169

Taking square roots on both sides , we get

b = 13 cm

So , the height of the parallelogram is h = 78 cm

Hence , the parallelogram is solved

To learn more about parallelogram click :

https://brainly.com/question/23488153

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Answer:

Step-by-step explanation:

hello : F (x) = 3x+2 / x-1

let : F (x) = y.....x  ?

y= 3x+2 / x-1

y(x-1) =3x+2

yx-y= 3x+2

yx-3x = y+2

x(y-3) = y+2  

for y ≠ 3

x= (y+2)/(y-3)

invers fungsi f (x)  :   g(x) =  (x+2)/(x-3)  ..... x ≠ 3

Answer:

The answer is below

Step-by-step explanation:

Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x

Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:

Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x

Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:

Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x

Sarah spends 2.50 € less than Jean. Therefore:

Money spent by Sarah = Money spent by Jean - 2.5

8x = 10x - 2.5

2x = 2.5

x = €1.25

Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.

Money spent by Jean = 10x = 10(1.25) = €12.5

Money spent by Sarah = 8x = 8(1.25) = €10

Answer:5/12b

Step-by-step explanation:

Answer:

5/12b

Step-by-step explanation:

2/3= 8/12

1/4= 3/12

8/12-3/12= 5/12 then put the b at the end,

5/12b

5/12 is already in simplest form

Answer:

18 is the LCM

Answer:

3

Step-by-step explanation:

when two lines are parallel, they have the same slope

you can find slop by changing the equation to slope intercept form (y=mx+b), m being the slope

slopes:

1. -2

2. -1/2

3. 2

4. 1/2

Answer:

3. y-2x=-8

Step-by-step explanation:

Answer:

2.4 hours

Step-by-step explanation:

Answer:

Each friend will get  [tex]\frac{1}{18}[/tex] of whole pan of corn bread

Step-by-step explanation:

As given,

Corn bread left = [tex]\frac{1}{3}[/tex]

Total number of friends = 2

So the left bread will divide into 2 parts

So, each person will get = [tex]\frac{1}{2}[/tex] ( [tex]\frac{1}{3}[/tex] ) = [tex]\frac{1}{6}[/tex] of the left bread

Now,

Left bread = [tex]\frac{1}{3}[/tex] of whole bread

And

Each person get  =  [tex]\frac{1}{6}[/tex] of the left bread

                            = [tex]\frac{1}{6}[/tex] ×[tex]\frac{1}{3}[/tex] of whole bread

                            = [tex]\frac{1}{18}[/tex]of whole bread

∴ we get

Each friend will get  [tex]\frac{1}{18}[/tex] of whole pan of corn bread

Answer:

12x + 18y

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6(2x +3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6(2x +3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y

Step-by-step explanation:

Answer:

6(2x+3y)

Step-by-step explanation:

Given:

The equation is

[tex]2\sin x-\sqrt{3}=0[/tex]

When [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].

To find:

The value of x.

Solution:

We have,

[tex]2\sin x-\sqrt{3}=0[/tex]

It can be written as

[tex]2\sin x=\sqrt{3}[/tex]

[tex]\sin x=\dfrac{\sqrt{3}}{2}[/tex]

It is given that [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].

[tex]\sin x=\sin \left(\pi-\dfrac{\pi}{3}\right)[/tex]

[tex]x=\dfrac{3\pi-\pi}{3}[/tex]

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

Therefore, the value of x is [tex]\dfrac{2\pi}{3}[/tex].