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Zanzabum
2 years ago
5

The first two steps in determining the solution set of the system of equations, y = x2 – 2x – 3 and y = –x +3, algebraically are

shown in the table. Which represents the solution(s) of this system of equations? (3, 0) and (–2, 5) (–6, 9) and (1, 2) (–3, 6) and (2, 1) (6, –3) and (–1, 4)
Mathematics
2 answers:
Andrews [41]2 years ago
4 0
Y = x^2 - 2x - 3
y = -x + 3

-x + 3 = x^2 - 2x - 3
x^2 - 2x - 3 + x - 3 = 0
x^2 -x - 6 = 0
(x - 3)(x + 2) = 0

x - 3 = 0        y = -x + 3
x = 3             y = -3 + 3
                     y = 0

x + 2 = 0      y = -x + 3
x = -2           y = -(-2) + 3
                    y = 2 + 3
                    y = 5

solutions are : (3,0) and (-2,5)
Lemur [1.5K]2 years ago
3 0

Answer:

(3,0) and (-2,5)

Step-by-step explanation:

your welcome

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Answer: Probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

Step-by-step explanation:

Since we have given that

Mean rate defects per unit = 0.3

Since we will use "Poisson distribution":

P(X=K)=\frac{e^{-\lambda}\lambda^k}{k!}

But we need to find the probability that a randomly selected unit will contain at least two surface-finish defect.

P(X\geq 2)=1+P(X=0)+P(X=1)

So,

P(X=0)=\frac{e^{-0.3}0.3^0}{0!}=e^{-0.3}=0.74\\\\P(X=1)=\frac{e^{-0.3}\times 0.3}{1}=0.22

so, it becomes,

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2 years ago
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Step-by-step explanation:

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2 years ago
A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-axis and sales (1,000 dollars)
daser333 [38]

AnswBrainly User

When x = 6.4, y=117, therefore

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Confirm this value by checking (6.6, 120).

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Step-by-step explanation:

8 1
2 years ago
Read 2 more answers
After getting 10% discount a customer paid RS 2034 with 13% VAT to buy a bag from a retailer. If the retailer made a profit of 2
german

Answer:

33.33%

Step-by-step explanation:

We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)

hence:-

2034 = m.p. × 90/100 × 113/100

m.p = (2034 × 100 × 100)/(90 × 113)

m.p. = Rs.2000

Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;

s.p = m.p. × 90/100

s.p = 2000 × 90/100

s.p = Rs. 1800

We are told that the retailer made a profit of 20%

Thus:-

c.p. × 120/100 = s.p.

c.p.= s.p. × 100/120

c.p.= 1800 × 100/120

c.p. = Rs.1500

Therefore, the percentage with which he marked above the c.p is;

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Plugging in the relevant values, we have;

(2000 - 1500)/1500) × 100

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7 0
2 years ago
At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts, using a scale from 1 to 10, where 10
Art [367]

Answer:

As   2.551 < 3.84 therefore we reject H0.

As 44.803 > 4.46 so we accept null hypothesis.

Step-by-step explanation:

The answer is attached.

There are three judges so v1 = 3-1= 2  and v2 = (4*2)= 8

There are five gymnasts so v1 = 5-1= 4 and v2=  (4*2)= 8

For alpha = 0.05 we find the value of F1 and F2 from the table.

Download docx
6 0
2 years ago
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