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dangina [55]
4 years ago
12

Simplify (6x^2 - 3 - 5x^3) - (4x^3 +2x^2 - 8)

Mathematics
1 answer:
yanalaym [24]4 years ago
6 0

Answer:

-9x^3+4x^2+5

Step-by-step explanation:

(6x^2 - 3 - 5x^3) - (4x^3 +2x^2 - 8)

distribute the minus sign

(6x^2 - 3 - 5x^3) - 4x^3 -2x^2 + 8

Combine like terms

-5x^3 -4x^3 +6x^2 - 2x^2 -3 +8

-9x^3+4x^2+5

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The table shows claims and their probabilities for an insurance company.
Dafna1 [17]

Answer:

a) Expected Value of Claims = $32,000

b) Average premium per claim, in order to break-even on claim costs

= $5,333.33

c) To make a profit of $60 per policy (i.e. a total profit of $360 ($60 x 6), it must charge:

= $5,393.33 per policy

Step-by-step explanation:

a) Data and Calculations:

Amount of Claim      Probability   Expected Value

$0                               0.60             $0

$50,000                     0.25             $12,500

$100,000                   0.09                 9,000

$150,000                   0.04                 6,000

$200,000                  0.01                 2,000

$250,000                 0.01                 2,500

Expected Cost of claims =          $32,000

b) Average premium per claim, in order to break-even on claim costs

= Total Claim cost divided by number of policies

= $32,000/6 = $5,333.33

c) To make a profit of $60 per policy (i.e. a total profit of $360 ($60 x 6), it must charge:

Total Claim cost + Total profit / 6 or Average Premium plus Profit per policy =

= ($32,000 + $360)/6 or $5,333.33 + $60

= $32,360/6 or $5,393.33

= $5,393.33

6 0
3 years ago
Can any side of a triangle be labeled as its base? Explain.
Stels [109]
Sometimes, for it depends on the triangle. Take a right triangle, for instance. In a right triangle, the hypotenuse is always greater than the two legs. Therefore, you cannot label any side as the base, since the sides are different. In an equilateral triangle, on the other hand, all of the sides and angles are the same. Therefore, no matter which way you turn the triangle, every side is equal. In this sense it doesn't matter which side is labeled as the base. So, it really depends on the kind of triangle you're referring to.
5 0
4 years ago
James and his 4 friends bought 2 pizzas.Each pizza was cut into 8 slices.If the boys share the pizza equally,how many pieces wil
Lelu [443]

Answer:3

Step-by-step explanation:

2x8=16

There are 5 people in total

16/5=3.2

Whole number so 3 slices

7 0
3 years ago
Read 2 more answers
Help me plss to find the area​
Delvig [45]

Answer:

A=88 square units

Step-by-step explanation:

A=B x H

A= 11 x 8

A=88 square units

7 0
3 years ago
Help me with these two questions for brainliest!
Akimi4 [234]
1. Yes.

Since, to be a triangle, the sum of the smallest two sides must be greater than the third side, the triangle can be formed.

3 + 22 > 24



2. This triangle is a right triangle.

180 - 60 - 30 = 90
90 degrees is a right angle.

Hope this helps!
5 0
3 years ago
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