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oksian1 [2.3K]
2 years ago
12

Calculate the expected gain or loss for Stock ABC. Lose $25 Gain $5 Gain $45 Stock ABC 40% | 15% | 45% Stock JKL| 15% | 65% | 20

% Stock MNO| 5% | 80%| 15%
Mathematics
1 answer:
Rainbow [258]2 years ago
8 0

Answer:

$11

Step-by-step explanation:

\left\begin{array}{c|ccc}&$Lose \$25&$Gain \$5&$Gain \$45\\$Stock ABC&40\%&15\%&45\%\end{array}\right

We want to calculate the expected gain or loss of Stock ABC with the probabilities above.

Note that loss is written in negative.

E$xpected Value =$ (-25  \times 40\%)+(5  \times 15\%) + (45  \times  45\%)\\=(-25 \times 0.4)+(5 \times 0.15)+(45 \times 0.45)\\=-10+0.75+20.25\\=\$11

Stock ABC has an expected gain of $11.

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Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
tankabanditka [31]

Given

∠ABC is an inscribed angle  

  Find out the  m∠BDA  and m∠BCA .

To proof

First find the value  of the central angle ( intercepted arc measure BA)

∠BOA = 360° - 250°

          =  110 °

Thus the intercepted arc AB is of measure 110°

FORMULA

inscribed\ angle =\frac{1}{2} in tercepted\ arc \ measure

thus putting the value in the above equation

we get

\angle BDA=\frac{1}{2}(110^{\circ})

∠BDA = 55°

Now find out ∠BCA  

In the quadilateral AOBC

As shown in the diagram AC & BD  are tangent

thus

∠CAO = 90°

∠CBO = 90°

As we know the sum of a quadilateral is 360°.

thus

∠AOB + ∠CAO + ∠CBO +∠ BCA  = 360°

Put the value as mentioned above

110° +90° + 90° +∠BCA = 360°

∠BCA = 360° - 290°

∠BCA =  70°

Hence proved


     





   





5 0
2 years ago
Josh has a rewards card for a movie theater. - He receives 15 points for becoming a rewards card holder. - He earns 3.5 points f
jeka94

Answer:

Option A. 3.5x + 15 ≥ 55

Step-by-step explanation:

Points Rosh received for becoming a member = 15

Points Rosh received for visiting the moving theater = 3.5

Total points needed for a free movie ticket = 55

For each visit he receives 3.5 points, so for x visits he will receive 3.5x points.

Total points = Points received on becoming a member + Points received on x visits

So,

Total Points = 15 + 3.5x

These points must be at least 55 for a free movie ticket. At least means equal to or greater than. So the total points must be equal to or greater than 55 in order to earn a free movie ticket. This can be expressed as:

3.5x + 15 ≥ 55

So, option A gives the correct answer

8 0
1 year ago
Read 2 more answers
The density of an object can be found by taking its mass and dividing by its volume. Write an equation to represent the relation
prisoha [69]

Answer:

Step-by-step explanation:

The density of an object can be found by taking its mass and dividing by its volume.

Hence if density is D , Mass is M and Volume is V

D=\frac{M}{V}

a)

M = 500 gms

V = 40 cubic cm

D=\frac{500}{40}

D=12.5

b)

M = 125 gms

V = 1.4 cubic cm

D=\frac{125}{1.4}

D=89.28

D =89.28 gm per cc

3 0
1 year ago
circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what
zloy xaker [14]

Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

     /rn/ = /rp/

    /tm/ = /tn/

   /sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

 /rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

 /st/ = /sm/ + /tm/

     = 5 +10

 /st/ = 15

The length of side st is 15.

7 0
1 year ago
What is the length of segment XY?
Brilliant_brown [7]

Answer:

StartRoot 53 EndRoot units

XY = √53

Step-by-step explanation:

Choose which is point 1 and point 2 so you don't confuse the coordinates.

Point 1 (–4, 0)    x₁ = –4   y₁ = 0

Point 2 (3, 2)      x₂ = 3    y₂ = 2

Use the formula for the distance between two points.

L = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}

XY = \sqrt{(3-(-4))^{2} + (2-0)^{2}}

XY = \sqrt{49 + 4}

XY = \sqrt{53}

Therefore the line of segment XY is √53.

6 0
2 years ago
Read 2 more answers
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