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Drupady [299]
3 years ago
12

Where y=5x-7 and -3x-2y=-12 Write your answer as x,y

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

(x,y) = (2,3)

Step-by-step explanation:

y=5x-7                  (i)

-3x-2y= -12          

-(3x+2y)= -12

3x+2y= 12            (ii)

By putting the value of y from (i) in (ii)

3x+2(5x-7)=12

3x+10x-14=12

13x=12+14

13x= 26

x = \frac{26}{13}

x= 2

By putting the value of x in (i)

y= 5(2)-7

y= 10-7

y= 3

(x,y) = (2,3)

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38.5 dollars

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Because if he used 3.50 dollars per a gallon that makes

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Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordina
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F(x)=3x²-6x+13
a=3, b=-6, c=13
the x coordinate of the vertex is x=-b/(2a), so x=-(-6)/(2*3)=1
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Here are the test scores for 10 students in Mr. P's class.
lutik1710 [3]
  • We need mean

\\ \rm\hookrightarrow Mean=\dfrac{Sum}{n}

\\ \rm\hookrightarrow \dfrac{59+94+57+87+75+90+82+57+65+77}{10}

\\ \rm\hookrightarrow 74.3\%

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2 years ago
It is known that 10% of the calculators shipped from a particular factory are defective. In a random sample of ten calculators,
umka2103 [35]

Answer:

0.7361

Step-by-step explanation:

In this question we have

number to be 10

Then we have a probability of 10% = 0.10

We have q = 1-p

= 1-0.10 = 0.90

Then the probability of not more than 1 being defective:

P(x=0) + p(x= 1)

(10C0 x 0.1⁰ x 0.9^10-0)+(10C1 x 0.1¹ x 0.9^10-1)

= 1 x1 x0.3487 + 10 x 0.1 x 0.3874

= 0.3487 + 0.3874

= 0.7361

This is the the required probability and this answers the question.

probability = 10 percent = 0.1

q= 1- 10percent = 90% = 0.9

n = 4

To get the required probabiltiy for this question is

P(not greater than one is defective )=P(x=0)+P(x=1)

= 4C0x(0.1)⁰x(0.9)⁴+4C1x(0.1)¹x(0.9)³

= 0.9477

The required probability is 0.9477

5 0
3 years ago
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