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3 years ago

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Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of

the pair so formed are parallel lines

1 answer:

just olya [345]3 years ago

8 0

Answer: $5x+3y+1=0$

Step-by-step explanation:

Given

The linear equation is $5x+3y-9=0$

The other linear equation parallel to the given line can be represented by

$5x+3y+c=0$

Here, c can take any value . for example c=1, line becomes

$\Rightarrow 5x+3y+1=0$

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Find the area of the semicircle please .

NeX [460]

Answer:

39.25

Step-by-step explanation:

the formula is a = (3.14 × $r^{2}$ ) / 2

the equation is a = (3.14 × $5^{2}$ ) / 2

5 is the radius

1. $5^{2}$ = 25

2. 3.14 × 25 = 78.5

3. 78.5 / 2 = 39.25

I hope this helped! :)

3 0

3 years ago

Read 2 more answers

What is the answer to this... 2/3+w=1 1/2

Natali5045456 [20]

Hi there,

2/3 + w = 11/2
w = 11/2 - 2/3

Hence, W = 29/6

Hope this helps :)

3 0

3 years ago

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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2.a. If the distri

zalisa [80]

Answer:

a

$P(\= X \ge 51 ) =0.0062$

b

$P(\= X \ge 51 ) = 0$

Step-by-step explanation:

From the question we are told that

The mean value is $\mu = 50$

The standard deviation is $\sigma = 1.2$

Considering question a

The sample size is n = 9

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{9} }$

=> $\sigma_x = 0.4$

Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_{x}} \ge \frac{51 - 50 }{0.4 } )$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

$P(\= X \ge 51 ) = P( Z \ge 2.5 )$

=> $P(\= X \ge 51 ) =1- P( Z < 2.5 )$

From the z table the area under the normal curve to the left corresponding to 2.5 is

$P( Z < 2.5 ) = 0.99379$

=> $P(\= X \ge 51 ) =1-0.99379$

=> $P(\= X \ge 51 ) =0.0062$

Considering question b

The sample size is n = 40

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{40} }$

=> $\sigma_x = 0.1897$

Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x} \ge \frac{51 - 50 }{0.1897 } )$

=> $P(\= X \ge 51 ) = P(Z \ge 5.2715 )$

=> $P(\= X \ge 51 ) = 1- P(Z < 5.2715 )$

From the z table the area under the normal curve to the left corresponding to 5.2715 and

=> $P(Z < 5.2715 ) = 1$

So

$P(\= X \ge 51 ) = 1- 1$

=> $P(\= X \ge 51 ) = 0$

5 0

3 years ago

Use x=3 to identify the value of each expression.

Galina-37 [17]

Exponents if those are the answer it bc the second number is an exponent

3^3= 27

4^3=64

3^4=81

3 0

3 years ago

I need to figure out the answer

ANEK [815]

Hello there,

If c=-2 just plug in -2 for every c you see.

(-2)²-7(-2)-8
This simplifies to
4+14-8
18-8
10

Hope this helps!

3 0

3 years ago

Read 2 more answers