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tatyana61 [14]
3 years ago
8

Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.

Mathematics
1 answer:
Xelga [282]3 years ago
4 0

9514 1404 393

Answer:

  3, 0, 2, -2

Step-by-step explanation:

Put x=2 into each equation and solve for y.

<u>2 + y = 5</u>

  y = 5 -2

  y = 3

<u>3x +2y = 6</u>

  3·2 +2y = 6

  2y = 6 -6 = 0

  y = 0

<u>2x +y = 6</u>

  2·2 +y = 6

  y = 6 -4

  y = 2

<u>5x +3y = 4</u>

  5·2 +3y = 4

  3y = 4 -10 = -6

  y = -2

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Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna
uysha [10]

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : \hat{p}=\dfrac{150}{400}=0.375

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})

=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]

=P(z>-1.02)=P(z-z)=P(Z

\approx0.8461  [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

4 0
4 years ago
Round to the nearest dime: $3.489
mr_godi [17]
3.49 is the anwser you need
5 0
4 years ago
He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need
torisob [31]

Answer:

Answer choice d

Step-by-step explanation:

To find the volume of this triangular prism, you first need to find the area of the triangular base. The formula for the area of a triangle is bh/2, which in this case is 3*2/2=3 square units. Multiplying this by the height of the prism, 3.5, you get a total of 10.5 cubic inches, or answer choice d. Hope this helps!

5 0
3 years ago
Brian and 3 of his friends need to collect a total of 1,548 pounds of newspaper for a recycling drive. They will each collect th
KonstantinChe [14]

4 people are collecting

1548 /4

387 lbs


7 0
3 years ago
Read 2 more answers
HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c
Anna71 [15]

Answer:

n=241

Step-by-step explanation:

We are given

5x^2+nx+48

Let's assume it can be factored as

5x^2+nx+48=(5x-s)(x-r)

now, we can multiply right side

and then we can compare it

5x^2+nx+48=5x^2-5rx-sx+rs

5x^2+nx+48=5x^2-(5r+s)x+rs

now, we can compare coefficients

rs=48

5r+s=-n

n=-(5r+s)

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

48=-+(1\times 48)

48=-+(2\times 24)

48=-+(3\times 16)

48=-+(4\times 12)

48=-+(6\times 8)

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

n=-(5\times -48-1)

n=241


7 0
3 years ago
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