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3 years ago

The graph of the equation is Ax+2y =-2 is the line that passes through (2,-2) what is value A

Mathematics

1 answer:

adell [148]3 years ago

3 0

Answer:

The value of A in the given graph of the equation is 1

That is A=1

Step-by-step explanation:

Given graph of the equation is Ax+2y=-2

Given that the equation of line Ax+2y=-2 passes through the point (2,-2)

Let (x,y) br the point (2,-2)

Therefore we have that

A(2)+2(-2)=-2

2A-4=-2

2A-4+2=-2+2

2A-2=0

2A=2

$A=\frac{2}{2}$

Therefore A=1

Therefore the value of A in the given graph of the equation is 1

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Step-by-step explanation:

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3 years ago

Suppose a large shipment of compact discs contained 19% defectives. If a sample of size 343 is selected, what is the probability

Yuri [45]

Answer:

The value is $P( | \^p - p | < 0.04) = 0.9408$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.19$

The sample size is n = 343

Generally given that the ample size is large enough , i.e n > 30 then the mean of this sampling distribution is mathematically represent

$\mu_{x} = p = 0.19$

Generally the standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{p(1- p)}{n} }$

=> $\sigma =\sqrt{\frac{0.19 (1- 0.19 )}{343 } }$

=> $\sigma = 0.0212$

Generally the the probability that the sample proportion will differ from the population proportion by less than 4% is mathematically represented as

$P( | \^p - p | < 0.04) = P( \frac{|\^ p - p |}{ \sigma_p } < \frac{0.04}{0.0212 } )$

$\frac{|\^ p - p |}{\sigma } = |Z| (The \ standardized \ value\ of \ |\^ p - p | )$

$P( | \^p - p | < 0.04) = P( |Z| < 1.887 )$

=> $P( | \^p - p | < 0.04) = P( Z < 1.887 )- P( Z < -1.887 )$

From the z table the area under the normal curve to the left corresponding to 1.887 and - 1.887 is

$P( Z < 1.887 )= 0.97042$

and

$P( Z < -1.887 )= 0.02958$

$P( | \^p - p | < 0.04) = 0.97042 - 0.02958$

=> $P( | \^p - p | < 0.04) = 0.9408$

3 0

2 years ago