27
Sara is considering purchasing a certain stock. After doing her research, she determins that there is a 68%
chance of making $3,500 and a 32% of losing $1,800. Find the expected value of this purchase.
1
$2,158
$2,956
$1,804
$3,071

Answer:

Step-by-step explanation:

Jan >> Feb >> Mar >> Apr

       x2        x2       x2

$10 >> $20 >> $40 >> $80

Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

Answer:

A 70°

Step-by-step explanation:

Angle of the triangle

=180-60-60

=60°

x= 180-60-50

=120-50

=70°

Answer:

[tex]21^{\circ}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.

Substituting given values, we have the following equation:

[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]

*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.

1. 40°

2. 50°

3. 45°

4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half

b. 70°

c. angle TPQ = angle OPQ ÷2

angle TPQ = 140÷2= 70°

Answer:

The answer is C

Step-by-step explanation:

there is no explanation

Answer:

.998543

9.92749

sqrt(101)

10 pi

Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

9.927

sqrt(101) is a little more than sqrt(100)  which is 10

Smallest .998543

9.92749

sqrt(101)

10 pi

Answer:

.998543

9.92749

sqrt(101)

10 pi

Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

9.927

sqrt(101) is a little more than sqrt(100)  which is 10

Smallest .998543

9.92749

sqrt(101)

10 pi

Answer:

a^2

Step-by-step explanation:

Ia^2I if a<0

Since a^2 is always positive, we can remove the absolute value sign and nothing will change

a^2

Answer:

Step-by-step explanation:

Properties

Center:(7,0)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:4

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:8

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*4 = 25.1327412287183

The circumference of a circle is the distance around it.

Area:50.2654824574367

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

Equation

Standard Form

The standard form for the equation oif a circle is

(x-a)2+(y-b)2=r2

And in our particular case:

(x-7)2+(y-0)2=42

(x-7)2+(y-0)2=16

General Form

The general form for the equation of a circle is

x2 + y2 + Ax + By + c = 0

We can get the general form by expanding the equation of the standard form

(x-a)2+(y-b)2=r2

(x-7)2+(y-0)2=42

(x-7)2+(y-0)2=16

x2-14x+49+y20y+0=16

x2+y2-14x+0y+33=0 Referenced definitions

Chord A chord of a circle a line segment that joins two points on the circumference of a circle.

π The ratio of a circle's circumference to its diameter. Equal to 3.1415926535... (the digits go on indefinitely without repeating)

Circle a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

The required equation of a circle will be (x - 7)² + y² = 16 with a center at (7, 0) and a radius of 4.

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The center of the circle is given as (h,k) = (7, 0) which is given in the question

And radius r = 4

Substituting the given values into this equation gives us an equation of a circle with a center at (7, 0) and a radius 4:

(x - 7)² + (y - 0)²  = 4²

Simplifying this equation gives us:

(x - 7)² + y² = 16

This is the equation of a circle with a center at (7, 0) and a radius of 4.

Learn more about the equation of a circle here:

brainly.com/question/1554214

#SPJ2

Answer is A y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.

If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.

The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.

Now, only the sec function has the property that;

y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

Answer:

1. AC = EC

Step-by-step explanation:

As it says that the figure has to be proved by SAS postulate. We know that, SAS stands for Side - Angle - Side, so we need to prove that any two sides and one angle of two triangles are equal/proportional or not.

Given, BC = CD, and angle ACB = angle DCE.

Therefore, the answer is 1. AC = EC.

Answer:

4 ten thousand=40,0000+16 thousand=16,000+9 ones =9= 40000+16000+9=56,009

Answer:

sorry i did not get i sorryt

Answer:

x = 5

Step-by-step explanation:

According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.

So,

      [tex]\frac{x-1}{x-2} = \frac{12}{9}\\\\\frac{x-1}{x-2} = \frac{4}{3}\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5[/tex]

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

Answer:

$54

Step-by-step explanation:

first find 1/4 of $80 and then take that answer and find 10% of that to get your answer

Answer:

175,760,000 different California license plates can be made.

Step-by-step explanation:

Possible outcomes for each number of letter:

10 numbers(from 0 to 9) and 26 letters.

Format of the plate:

Number - letter - letter - letter - number - number - number

The numbers of possible outcomes are:

10 - 26 - 26 - 26 - 10 - 10 -10

How many different plates?

We multiply these values. So

10*26*26*26*10*10*10 = 175,760,000

175,760,000 different California license plates can be made.

Answer:

MINIMUM WAGE does not increase much over time

Step-by-step explanation:

Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.

Answer:

y = -2/3 x + 6

Step-by-step explanation:

Using the coordinates (1, 16/3) and (3,4)

Slope m = 4-16/3/3-1

Slope m = -4/3 * 1/2

Slope m = -2/3

For the y-intercept

Substitute (3,4) and m = -2/3 into y  =mx+b

4 = -2/3(3) + b

4 = -2 + b

b = 4 + 2

b = 6

Get the required equaton;

Recall that y = mx+b

y = -2/3 x + 6

Answer:

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

Step-by-step explanation:

For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Five percent of all blue ray players manufactured by a large electronics company are defective.

This means that [tex]p = 0.05[/tex]

A quality control inspector randomly selects three players from the production line.

This means that [tex]n = 3[/tex]

What is the probability that exactly one of these three blue ray players is defective?

This is P(X = 1). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354[/tex]

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

Answer:

0.057

Step-by-step explanation:

To obtain the p value, we need to obtain the test statistic :

For a one sample test :

Test statistic is given by :

(xbar - μ) ÷ (σ/√(n))

(185 - 175) ÷ (20/√(10))

10 ÷ 6.3245553

Test statistic = 1.581

Qe used the Z distribution because we are working with the population standard deviation.

Using the Pvalue from test statistic calculator :

Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;

Pvalue = 0.0569

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

−

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

Answer:

Step-by-step explanation:

A, D and F

Answer:59

Step-by-step explanation:

beacause you need to added them all together

Answer:

(2.5, -1.3)

Step-by-step explanation:

x = (3.5 + 1.5) / 2

x = 5/2

x = 2.5

y = (2.2 - 4.8) / 2

y = -2.6/2

y = -1.3

(2.5, -1.3)

Answer:

9901 / 2000

Step-by-step explanation:

might be wrong

Answer:

Step-by-step explanation:

(a) We will prove by induction that if n is a multiple of 3 then Bob has a winning strategy.

Let n=3

It is given that Alice always plays first.

Then, for the first move, Alice has a choice of removing 1 or 2 stones.

Case 1:

Alice removes 1 stone. Then it is now Bob's turn. There are 2 stones left. Bob has the choice of removing 1 or 2 stones. Then Bob's winning strategy should be to remove 2 stones. Then Bob removes the last stone and wins.

Case 2:

Alice removes 2 stones. Then it is Bob's turn. There is exactly 1 stone left, which Bob removes in his turn. Since he removes the last stone, he wins.

Thus, in either case, for n=3, Bob has a winning strategy. ____ (A)

Now, let us assume that Bob has a winning strategy for n=3p.

We will now check if Bob has a winning strategy for n=3p+3

It is given that Alice plays first.

Case 1:

Alice starts the game by removing 1 stone. Then, Bob has a choice of removing 1 or 2 stones. If he chooses to remove 2 stones, then the number of stones left is 3p+3-3=3p and it is now Alice's turn to play. This is exactly the game when n=3p and we have already assumed that Bob has a winning strategy for n=3p. Thus, in this case Bob has a winning strategy.

Case 2:

Alice starts the game by removing 2 stones. Then, Bob has a choice of removing 1 or 2 stones. If he chooses to remove 1 stone, then the number of stones left is 3p+3-3=3p and it is now Alice's turn to play. This is again exactly the game when n=3p and we have already assumed that Bob has a winning strategy for n=3p. Thus, in this case also, Bob has a winning strategy.

Thus, in either case Bob has a winning strategy for n=3p+3 if he has a winning strategy for n=3p. _______ (B)

Thus, from (A) & (B), using induction, we can say that Bob has a winning strategy if n is a multiple of 3.

(b) We will now prove that if n is not a multiple of 3, then Alice has a winning strategy.

If n is not a multiple of 3, then n can have either of the forms of 3m+1 or 3m+2, m ∈ W.

We will prove the given fact for both the forms simultaneously

Let m=0, i.e., n=1 or n=2

Since Alice starts first, she removes 1 stone, if n=1 or 2 stones if n=2 and thus wins. Thus Alice has a winning strategy if m=0. ______ (A)

Let us assume that Alice has a winning strategy for m=k, i.e., for n=3k+1 & n=3k+2

Now, we will check if Alice has a winning strategy for m=k+1, i.e., for n=3(k+1)+1=3k+4 or n=3(k+1)+2=3k+5

Let n=3k+4

Since Alice plays first, she has a choice to remove 1 or 2 stones.

Note that, if Alice removes 2 stones and in turn Bob removes 2 stones, then the number of stones becomes a multiple of 3 such that it is Alice's turn to play. In that case, Bob will have a winning strategy as shown in the previous part.

Then, Alice should remove 1 stone. Then, it is now Bob's turn and he has a choice of removing 1 or 2 stones.

Case 1:

Bob removes 1 stone. Then there are 3k+4-1-1=3k+2 stones remaining and it is Alice's turn. This is identical to the game where n=3k+2. We have already assumed that Alice has a winning strategy in this case.

Case 2:

Bob removes 2 stones. Then there are 3k+4-1-2=3k+1 stones remaining and it is Alice's turn. This is identical to the game where n=3k+1. We have already assumed that Alice has a winning strategy in this case.

Thus, in either case, Alice has a winning strategy.

Let n=3k+5

Since Alice plays first, she has a choice to remove 1 or 2 stones.

Note that, if Alice removes 1 stone and in turn Bob removes 1 stone, then the number of stones becomes a multiple of 3 such that it is Alice's turn to play. In that case, Bob will have a winning strategy as shown in the previous part.

Then, Alice should remove 2 stones. Then, it is now Bob's turn and he has a choice of removing 1 or 2 stones.

Case 1:

Bob removes 1 stone. Then there are 3k+5-2-1=3k+2 stones remaining and it is Alice's turn. This is identical to the game where n=3k+2. We have already assumed that Alice has a winning strategy in this case.

Case 2:

Bob removes 2 stones. Then there are 3k+5-2-2=3k+1 stones remaining and it is Alice's turn. This is identical to the game where n=3k+1. We have already assumed that Alice has a winning strategy in this case.

Thus, in either case, Alice has a winning strategy.

Then, we can say that Alice has a winning strategy for m=k+1 if she has a winning strategy for m=k. _____ (B)

Then, by induction, from (A) & (B), we can say that if n is not a multiple of 3, then Alice has a winning strategy.