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Nataly [62]
3 years ago
8

Choose a system of equations with the same solution as the following system:

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

x + 2 = 0 and y - 3 = 0

Step-by-step explanation:

We have to find the solution of the system of equations  

6x + 2y = - 6 ........... (1)

⇒ 12x + 4y = - 12 .......... (2) and  

3x - 4y = - 18 ........... (3)

Now, solving equations (2) and (3) we get,

15x = - 30

⇒ x = - 2

Hence, from equation (1) we get, 2y = - 6 - 6x = - 6 - 6(- 2) = 6

⇒ y = 3

Therefore, the solution of the given system of equations is (-2,3).

Now, x + 2 = 0 and y - 3 = 0 are another system of equations that have the same solutions. (Answer)

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Suppose the claim size of an auto collision insurance, X, is uniformly distributed on the interval $1,000 to $10,000. What is th
timurjin [86]

Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56

The percentage reduction on the claim payment is:

P=(1-\frac{E_2(X)}{E(X)})*100 \\P=(1-\frac{3,555.56}{5,500})*100\\P=35.35\%

There was a 35.35% reduction.

8 0
3 years ago
A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me​
astraxan [27]

Answer:

110

Step-by-step explanation:

5.5 x 20 = 110

4 0
3 years ago
Please help me with the answers
Illusion [34]

Answer:

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4 0
3 years ago
The fair spinner shown in the diagram above is spun.
Katena32 [7]

Unable to provide a definitive answer due to lack of diagram.

Answer: 1/4

Step-by-step explanation:

Multiples of 6:

Multiples of 6 are numbers obtained when 6 is multiplied by an integer. Such as

(6*1) = 6, (6*2)=12, (6*3) = 18..... and so on.

Probability is calculated by finding the ratio of the required outcome and total possible outcomes.

Probability = required outcome / Total possible outcomes

P(multiple of 6) = number of multiples of 6 / total number of possible outcomes

If number of 6 multiples = 5 and

Total number of faces in the spinner = 20

Then :

P(multiple of 6) = 5/20 = 1/4

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3 years ago
HELP?? A lunch combo has the following options: Entree: Hamburger, Hotdog, Chicken sandwich Side: Apples, Salad Drink: Milk, Wat
murzikaleks [220]

Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

Considering the number of options for Entree, Side and Drink, the parameters are:

n1 = 3, n2 = 2, n3 = 2.

Hence the sample size of outcomes is:

N = 3 x 2 x 2 = 12.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

#SPJ1

3 0
2 years ago
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