In a proposed business​ venture, a businesswoman estimates there is a ​65% chance she will make ​$57000 and a 35​% chance she will lose ​$67000. Determine her expected value.

[tex] \boxed{ \huge \bf \: Solution:—}[/tex]

[tex] \sf \longmapsto \dfrac{2}{3} \ + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10}{15} + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10 + 7}{15} [/tex]

[tex]\sf \longmapsto \dfrac{17}{15} [/tex]

[tex]\boxed{\huge\bf{Answer:—}}[/tex]

[tex]\bf \dfrac{17}{15} [/tex]

OR

[tex]\bf{1.13}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180  because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT'  (They are both radii). x/2 + x/2+ 115 = 180   I'll talk about x/2 down below this.

x + 115 = 180  All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

Answer:

[tex]18[/tex]

Step-by-step explanation:

Step 1:  Input the values and solve

[tex]b - 7a[/tex]

[tex](4) - 7(-2)[/tex]

[tex]4 - (-14)[/tex]

[tex]4 + 14[/tex]

[tex]18[/tex]

Answer:  [tex]18[/tex]

Answer:

30x2−29xy−7y2

Step-by-step explanation:

=(5x+y)(6x+−7y)

=(5x)(6x)+(5x)(−7y)+(y)(6x)+(y)(−7y)

=30x2−35xy+6xy−7y2

=30x2−29xy−7y2

Answer:

8

Step-by-step explanation:

The diagonals of a parallelogram divide each other into two equal parts.

Answer:

7 + 2t is the simplest form of your equation.

Hope this helps! :D

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is;  [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Learn more about the equation of an ellipse here:

https://brainly.com/question/1306753

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

Learn more about maths in https://brainly.com/question/25749130

Answer:

37.95

Step-by-step explanation:

MATH

The cost of seven pastrami sandwiches and twelve sodas is $40.08.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65.

2P + 5S = 12.65

3P + 2S = 12.65

2P + 5S = 3P + 2S

P = 3S

3 x 3S + 2S = 12.65

6S + 2S = 12.65

8S = 12.65

S = $1.58

P = $3.16

The cost of seven pastrami sandwiches and twelve sodas will be:-

Cost = 7P = 12S

Cost = ( 7 x 3.16 ) + ( 1.58 x 12 )

Cost = $41.08

To know more about an expression follow

https://brainly.com/question/29379220

#SPJ6

the length of the box is represented by (8m2)

does that mean 8m^2?

in English that would be 8 times m^2 or 8 * m * m.

if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.

if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.

working that out algebraically, it would look like this:

(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248

The simplified expression that represents the volume of the box is D. 512m.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a cube or a square box can be calculated by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the volume of the square wooden box in the question is:

Volume = (8m')³

= 8m' * 8m' * 8m'

= 64m' * 8m'

= 512m"³

So the simplified expression that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ2

Answer:

1.375 decimal to fraction.

2/7 Fraction to Decimal

Step-by-step explanation:

Answer:

1/52

Step-by-step explanation:

A deck has 52 cards and the probability of picking a specific one is 1/52, or 1.92%

If you are looking for the probability of a diamond, it is 1/4, or 25%

Answer:

  46 m

Step-by-step explanation:

The perimeter of any figure is the sum of the lengths of its sides.

  8m +10m +10m +18m = 46 m

The perimeter of the figure is 46 meters.

Answer:

19 days

Step-by-step explanation:

1 - Make an equation with the variables provided.

150 + 200 + 12.50x = 587.50

2 - Simplify both sides.

350 + 12.50x = 587.50

3 - Subtract 350 from both sides.

12.50x = 237.50

4 - Divide by 12.50 to find your x variable.

x = 19 days

Brainliest would be appreaciated! :-)

Answer:

72°

Step-by-step explanation:

The diagonals of a parallelogram intersect at a point that forms the center of symmetry of the parallelogram.

Answer: x=14

Step-by-step explanation:

4+x/7=2

-4 -4

X/7=-2

*7 *7

X=14

Answer:

-14

Step-by-step explanation:

Answer:

6 chapters per hour

Step-by-step explanation:

[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]

Hope this helps

Answer:

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

Step-by-step explanation:

Point-slope equation is:  [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

Solving the inequality, it is found that:

The current depth of the dugout is of 0.25 feet below ground level.

The current depth of the dugout is of d.

The inequality below represents how much the dugout needs to reach, according to the current depth:

[tex]214d < -54[/tex]

We solve it similarly to an equality, hence:

[tex]d < -\frac{54}{214}[/tex]

[tex]d < -0.25[/tex]

The current depth of the dugout is of 0.25 feet below ground level.

A similar problem is given at https://brainly.com/question/14361489

Answer:

deeper then 24

Step-by-step explanation:

Please make me brainliest

Answer:

1/10, 0.4, 1/2

Step-by-step explanation:

Answer:

1/10      0.4        1/2

Step-by-step explanation:

1/10 = 0.1

0.4 = 0.4

1/2 = 0.5

therefore 0.1  0.4  0.5

Step-by-step explanation:

a triangle can only be a triangle (all sides connect with each other), if every side is less than the sum of the other 2 sides.

so, the third side must be shorter than 10+11 = 21 and longer than 11-10 = 1, so that the side of 11 cm is shorter than the sum of the other two sides.

Answer:

1 < x < 21

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

11 - 10 < x < 11 + 10

1 < x < 21

The equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that there is a total of 15 events. And in order to win 75% of the event, Cheyenne need to win,

The number of matches Cheyenne needs to win = 75% of 15

                                                                                 = 11.25 ≈ 12 events

Since Cheyenne has already won 6 events out of 15, she needs to win 6 more events.

Hence, the equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer:

Hola

tengo una pregunta

de que país

eres? ._.

Answer:

13 blue and 20 yellow

urwelcome

Answer:

-9/4

Step-by-step explanation:

Slope is equal to the change in y, over the change in x, or rise over run.

x, is the run

y, is the rise

You can substitute the coordinate numbers on the equation to find the slope. which is y2-y1/x2-x1

m= 17-(8)

——

2-(6)

Your answer will be -9/4 (it doesn’t matter where the negative goes, and there’s a negative because 2-6= -4)

Hope this helps.

Answer:

A

Step-by-step explanation:

Simply multiply each rows of the firstly stated matrix by the columns of the second and then add each with respect to their location.

Answer:

6. slope= -4/5     Y-intercept is 3

7.

a.y=-2x

b.y=1x+1

c.5/2x-1

d.y=4x+3

e.y=-3/2x-5

Step-by-step explanation: