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2 years ago

X+3y=-5

Mathematics

1 answer:

zmey [24]2 years ago

3 0

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.

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(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop

zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

$\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})$

Compute the sample sizes as follows:

$MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}$

$n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}$

$=\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787$

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

$\hat p_{1}=0.45\\\hat p_{2}=0.58$

Compute the sample size as follows:

$MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}$

$n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}$

$=\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666$

Thus, the sample sizes are 6666.

7 0

2 years ago

Help please which statement best completes the diagram?

avanturin [10]

Answer:

Step-by-step explanation:

This is by definition of civil law

3 0

2 years ago

An equation is shown below:

Anarel [89]

I would have to go with the first one because 2(3x-5)=1 is the same as 6x-10=1
then all you have to do is divide 11 by 6 and the answetr should be c or in this case x=1.83
to check your work do this 6(1.83)-10 and your answer should come to .98
all you have to do is round to 1.0

4 0

3 years ago

Which description of the graph of y = 500x is most accurate?

tamaranim1 [39]

Answer: .The graph is a line that rises steeply from left to right and passes through the origin. 2.The graph is a line that rises gradually

Step-by-step explanation: hope tha help

6 0

2 years ago

Can someone help me solve this

ikadub [295]

Answer:

168.25 ft
3.125 s

Step-by-step explanation:

It is almost too easy to let a graphing calculator show you the solution. (See attached)

_____

You may be expected to use some actual algebra (or even calculus) to find the solution.

If you've spent any time with quadratics, you know the vertex of ax²+bx+c is located at x=-b/(2a). Here, that means the time to get to the highest point is ...

... t = -100/(2·(-16)) = 100/32 = 3.125 . . . . seconds

Then the highest point is ...

... h(3.125) = -16·3.125² +100·3.125 +12 = 168.25 . . . . feet

_____

Or, you can put the equation into vertex form.

... h(t) = -16t² +100t +12

... = -16(t² +6.25t) +12

... = -16(t² +6.25t +3.125²) +12 +16·3.125² . . . . . add the square of half the t coefficient inside parentheses; add the opposite of the same amount outside parentheses

... = -16(t +3.125)² +168.25 . . . . . simplify

This tells us the peak of the travel of the bullet is at 168.25 ft after 3.125 seconds.

6 0

3 years ago