Can you check and see if I am right please?

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

44%

0.44 is 44% of 1.

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer:

(x is number)

x=7>5

Step-by-step explanation:

hope this helps

Answer:

17.8

Step-by-step explanation:

We can find this because we know that to make a cube, we need to do [tex]c*c*c[/tex] or [tex]c^3[/tex]. With this, we can simplify our equation (by taking the root of both sides) to [tex]c=\sqrt[3]{5639.752}[/tex] or 17.8.

Answer:

A

Step-by-step explanation:

Recall that sin = opposite over hypotenuse

For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.

The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given that the legs = 2 and 4 and need to find the hypotenuse

That being said we plug in what we are given and solve for c

[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]

In order to get the exact value of c we must get rid of the exponent.

To do so we can take the square root of both sides

[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]

hence, the hypotenuse = √20

Now lets look back at the question

Find sin∠A to the nearest hundredth.

well remember sin = opposite over hypotenuse

The opposite of sin∠A is 2 and the hypotenuse is √20

Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595

Our last step is to round to the nearest hundredth

We get the sin∠A = .45

i got it right cus im smart

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

a

Step-by-step explanation:

Answer:

55.5

Step-by-step explanation:

Answer:

Length AB = square root [5^2 + 3^2]

AB = square root [34]

AB = 5.8309518948

= 5.8 rounded

Step-by-step explanation:

Answer:

0.25 is a decimal

Step-by-step explanation:

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Answer:

Step-by-step explanation:

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

Answer:1251231

Step-by-step explanation:

Answer:

right isosceles triangle.

Answer:

right scalene

Step-by-step explanation:

right angle - if one angle is 90 degree

scalene triangle- if all sides are of different lengths

[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]

[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]

Answer: 120 cans.

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Answer:

it's an angle X duh he he he be

Answer:

Answer is 5 °C.

Step-by-step explanation:

5 is answer

Answer:

The mean temperature is 5.3 degree Celsius

Step-by-step explanation:

5+4+4-1+4+10+9+8+6+4

= 53

So,

53/10

= 5.3

mark me brainliest plss :))

Answer:

Step-by-step explanation:

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

Answer:

[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

                                                             √3                  4√3

Note that cos 30 degrees (which is ---------) equals ---------  

                                                                2                      x

which simplifies to:

    1         4

  ----   = -----    

    2         x

so that x = 8                                                                                                

Answer:

its 45

Step-by-step explanation

It's right I did it on khan

Answer:

the surface of hexagonal prism is 12 cm