The following table shows claim amounts and their probabilities for an insurance company that offers homeowners’ insurance policies. Calculate the expected claim amount. That is, on average, how much will the insurance company have to pay in claims per policy holder?

$2250

$5000

$7500

$3250

Step-by-step explanation:

x=4 and y= 1 because of 4+1=5 and add 2y to both sides

x-2y+2y=2+ 2y

x=2y+2

4-2=2

[tex]\left \{ {{x+y=5} \atop {x-2y=2}} \right.[/tex]

Here we have 2 equations in one system.

System of Equations/Simultaneous Equations are for finding the intercepts of both graphs.

We can solve these Simultaneous Equations in many ways. However, I'll be solving by substitution.

To solve by using substitution, we need to move either x or y to the another side. I'll move x term to another side for the first equation. (We'll substitute the first equation in the second.)

[tex]\left \{ {{y=-x+5} \atop {x-2y=2}} \right.[/tex]

Now we substitute y = -x+5 in x-2y = 2

[tex]x-2(-x+5)=2\\[/tex]

Then distribute -2 in (-x+5) | Note that multiplying the negative will get positive. |

[tex]x-2(-x+5)=2\\x+2x-10=2\\3x=2+10\\3x=12[/tex]

We should get this. When we get this, we move 3 to divide 12 (Opposite when moving to another side so from plus to minus and from multiply to divide.)

[tex]x=4[/tex]

But we are not done yet. We have to find the y-value. After all they are two variables equations.

If we want to find the y-value then we have to substitute x = 4 in any given equations. I'd suggest to substitute in the equation that doesn't have a coefficient with high value.

So I'll be substituting in x + y = 5 instead.

Substitute x = 4 in x + y = 5

[tex]4+y=5\\y=5-4\\y=1[/tex]

Thus, we get both x and y value. Answer in either coordinate point or writing form.

Therefore, the answer is

x = 4 when y = 1 or (4,1)

Both works. Hope this helps.

The domain and range of the functions, Domain includes all possible inputs and range includes all possible outputs , are-

1.  f(x) = 4x-3

Domain - all real numbers or

Range - all real numbers

2. G(x) = | 1-2x |

Domain- all real numbers

Range - All real numbers≥ 0

3. f(x) = x²-2x+1 / x-1

this can be simplified as ( x-1)²/(x-1) = x-1

Domain - all real numbers

Range- all real numbers

4. f(x) = {x-1 if x<3,

             2x+1 if x ≥3 }

Domain - all real numbers

Range - All real numbers

5. y = [tex]\sqrt{4-x}[/tex]

Domain - All real numbers <4

Range - all real numbers ≥0

Mathematical functions are analogous to vending (soda) machine operations. When you put in a certain amount of money, you can choose from a variety of sodas. Similarly, when we use functions, we enter different numbers and get new numbers as a result. The primary characteristics of functions are domain and range. A soda can be purchased with quarters or one-dollar bills. If you put in pennies, the machine will not give you any soda flavor. As a result, the domain represents the inputs available here, which are quarters and one-dollar bills. A cheeseburger will not be served from a soda machine, no matter how much you pay. Thus, the range represents the possible outputs we can have here, i.e., the

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Answer:

12 dark chocolates

Step-by-step explanation:

Let there are 2x milk chocolates and 3x dark chocolates.

Total no of milk chocolates = 8

ATQ,

2x = 8

x = 4

Dark chocolates = 3x

= 3(4)

= 12

Hence, there are 12 dark chocolates.

Answer:

Them all as he has to know how far he travels the customer rate to see is there is an increase of decrease price of gasoline to see if it's affecting g his outcome and price per miles for obvious reasons haha

Answer:

the answer B. Distance traveled by customer

Answer:

i bite my tongue its a baddd habit

28 + 10√3

Step-by-step explanation:

first, multiply the two together. √3 * √3 = 3. √3 * 5 = 5√3. 5 * √3 = 5√3. 5 * 5 = 25.

We have 3 + 5√3 + 5√3 + 25. Combine like terms and you should get 28 + 10√3.

Answer:

The answer is 7

Step-by-step explanation:

I don't know how to explain it really but just divide 4/3 by 28/3 and you should get the answer of x

Answer:

7

Step-by-step explanation:

Answer:

Space Explorer B travels 6800 miles more than Space Explorer A in one hour.

Step-by-step explanation:

Space Explorer A travels 7000 miles less than Space Explorer B in one hour.

Two or more expressions with an equal sign are defined as an equation.

Given that, Space Explorer A flies 28800 miles in 24 hours.

24 hours = 28800 miles

1 hour = 28800/24 miles

1 hour = 1200 miles

Hence, Space Explorer A travels 1200 miles in 1 hour.

Now, the equation representing the distance, y, traveled by Space Exploral B in x hours is:

y = 8200x

Substitute x = 1:

y = 8200

Therefore, Space Exploral B travels 8200 miles in 1 hour.

The difference between the distance traveled by Space Exploral B and Space Exploral A is:

8200 - 1200

= 7000

Hence, Space Explorer A travels 7000 miles less than Space Explorer B in one hour.

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Answer:

A.Josiah

5×4= 20+100=120

10×4=40+40=80

120 is more than 80

After 4 weeks , Josiah has 40 dollars more in his savings account.

Given :

Josiah starts with $100 in his savings account and adds 5 per week.

Let x be the number of weeks they started saving

Total money in savings account = 5 (number of weeks) + initial amount

Total money = [tex]5x+100[/tex]

Kiri starts with 40 in her savings account and adds 10 each week.

Total money = 10x+40

Now we need to find out how much money each have after 4 weeks

lets replace x by 4

Josiah have [tex]5(4)+100=120[/tex]

Kiri have [tex]10(4)+40= 80[/tex]

120-80=40

So , Josiah have 40 dollars more  in his savings account.

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Answer: Acute ask goigle

The total measure of angles in a triangle is 180°.

3x° + 2x° + 4x° = 180°

9x° = 180°

x° = 180° ÷ 9

x° = 20

Our 3 angles are:

3(20) = 60°

2(20) = 40°

4(20) = 80°

Done.

Answer:

Step-by-step explanation:

3x+2x+4x=180

9x=180

x=180/9=20

3x=3×20=60°

2x=2×20=40°

4x=4×20=80°

Answer:

f - 0.26f

Step-by-step explanation:

Answer:

$420.96

Step-by-step explanation:

95.85+2.68+2.58+4.13=$105.24

105.24*4=$420.96

Answer:

4(n + 3) = 60

Step-by-step explanation:

In the question it says '3 more than the usual' and that is a big hint that it is 4(n + 3) = 60

Answer:

40 percent of the children that play soccer are girls in the league

Step-by-step explanation:

just divide 64/160 and get 40

Answer:

40%

Step-by-step explanation:

64/160 = 0.4

0.4 = 40%

To graph the logarithmic function y = log₂(x), we can use the key point (1,0) and the fact that the logarithmic function is the inverse of the exponential function y = 2ˣ.

Starting at the key point (1,0), we can move to the right by increasing x by a factor of 2, since log₂(2) = 1. This takes us to the point (2,1). Similarly, we can move to the right by a factor of 2 again to get to the point (4,2), and then to (8,3), (16,4), and so on.

If we instead move to the left from the key point (1,0) by a factor of 2, we get to the point (1/2, -1), since log₂(1/2) = -1. We can continue moving to the left by dividing x by 2 to get to (1/4, -2), (1/8, -3), and so on.

The given graph of y = log₂(x) using only integer points.

The graph is symmetric about the line x=1, since log₂(x) = log₂(1/x) = -log₂(x).

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Answer:

0.875

Step-by-step explanation:

Answer:

Step-by-step explanation:

u would divide 7 by eight and get 0.875

Answer:

14[tex]\frac{2}{7}[/tex]%

Step-by-step explanation:

We can just follow the hint.

Amount of discount = $84 - $72

                                 = $12

Percentage of discount = [tex]\frac{12}{84}[/tex] × 100%

                                       = 14[tex]\frac{2}{7}[/tex]%

Answer:

14.3% discount.

Step-by-step explanation:

Heya! So by the hint that they gave us, I subtracted 72 from 84, and then divided the 12 by 84. The true answer is 0.143 (rounded to the hundredth), getting you close to the initial 12. I hope this helped at least a little bit!

Answer:

x+12

Step-by-step explanation:

(0+c)+12

0+c+12

c+12+0

c+12

Hope this helps plz hit the crown :D

The problem to solve is:

(0+c)+12

0+c evaluates to +c

0 + 12 = 12

The answer is 12+c

(0+c)+12 evaluates to 12+c

The final answer is

12+c

Answer:  Boolean Operators are simple words used as conjunctions to combine or exclude keywords in a search, resulting in more focused and productive results. Examples are  (AND, OR, NOT or AND NOT) .

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

GCF = Greatest Common Factor

Answer:

9

Step-by-step explanation:

Answer:

The numbers:

1, -3, 2, -9, 3, -15, 4, -21,

are not linear.

Step-by-step explanation:

If it was linear:

4, 3, 2, 1, -3, -9, -15, -21

Answer:

2.5

Step-by-step explanation:

Hey there!

“-3 < x - 10”

SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!

-3 = x - 10

Flip the equation around

x - 10 = -3

ADD both of your sides by 10

Like: x - 10 + 10 = -3 + 10

CANCEL out: -10 + 10 because it gives us 0

Keep: -3 + 10 because it gives us the value of x

-3 + 10 = x

Solve that above and you have your answer: x = 7 ☑️

Overall answer: x < 7

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

remove the bracket on the other side by multiplying 180 by (2-n)

subtract 360 from 1260 to remain with -180n on the other side

divide both sides by -180n

then n become -5

Answer:

414

Step-by-step explanation:

the ratio of adult tickets to student tickets = 2 to 7  num of student tickets / 92 = 7 / 2 ... x = 414 total tickets sold.

Answer:

Step-by-step explanation:

The answer is a+c and 3+7s+t

Bacuase both term have single power

Answer:

  -14x² +19x

Step-by-step explanation:

You want the sum of the expressions (-8x² +9x) and (-6x² +10x).

The sum is found by adding like terms: terms with the variable to the same power.

  (-8x² +9x) + (-6x² +10x)

  = (-8 -6)x² +(9 +10)x

  = -14x² +19x

Answer:

p+5

Step-by-step explanation:

I feel as if I might be oversimplifying my answer, so I may be wrong. But, I simply took the time to add like terms! The variable- p- will stand alone because it does not have a given value. The 6, 7, and -8 can be added together, though! Hence my +5. I hope this helped! :)