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Inga [223]
2 years ago
14

An unknown number y is 20 more than an unknown number x. The number y is also x less than 2. The equations to find x and y are s

hown below: y = x + 20 y = −x + 2 Which is a correct step to find x and y? Multiply the equations to eliminate y. Add the equations to eliminate x. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Question
Mathematics
1 answer:
KatRina [158]2 years ago
4 0

The graph is given below. Then the intersection point will be (-9, 11).

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

An unknown number y is 20 more than an unknown number x.

The number y is also x less than 2.

The equations to find x and y are shown below:

y = x + 20 ...1

y = −x + 2 ...2

Add both equations, then we have

2y = 22

 y = 11

Then put the value of y in equation 1, then we get

11 = x + 20

x = 11 - 20

x = -9

Then the intersection point will be (-9, 11)

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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8 0
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Two pyramids are similar. The volume of the larger pyramid is 125 mº and the volume of the smaller pyramid is 27 mº. The height
GREYUIT [131]

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5 m

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3 0
3 years ago
The width of a rectangle is 30% of its length what is the area of the rectangle. when the length is 40ft.
zaharov [31]

Answer:

480ft squared

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7 0
3 years ago
In a survey of 2264 adults, 729 say they believe in ufos. construct a 95 confidence interval for the population proportion of ad
Andreyy89

90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ].

Here, we have given:

Number of adults (n) = 2272

Number of adults who believe in UFO (x) = 724

Sample proportion (p) = x/n

p = 724 / 2272

p = 0.3187

now, let q = 1 - p

q = 1 - 0.3187

q = 0.6813

Confidence level → 90%

The 90% confidence interval for population proportion is

[ p - 1.645\frac{\sqrt{pq} }{\sqrt{n}} ,p + 1.645\frac{\sqrt{pq} }{\sqrt{n}} ]

where 1.645 is Zac value at 90% confidence level.

p - 1.645\frac{\sqrt{pq} }{\sqrt{n}}  = 0.3187 - 0.0161 = 0.3026

p + 1.645\frac{\sqrt{pq} }{\sqrt{n}} = 0.3187 + 0.0161 = 0.3348

90% confidence interval for the population proportion is

[ 0.3026, 0.3348 ]

Hence, With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ]

Learn more about " Population Proportion " from here: brainly.com/question/15087042

#SPJ4

5 0
2 years ago
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