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IceJOKER [234]
1 year ago
15

HELP! 50 POINTS!

Mathematics
1 answer:
Alexxandr [17]1 year ago
6 0

(4, -1) ---> x = 4 and y = -1

If you look at the graph you can se this

Mark points (0, 2) and (8, -4) in the coordinate plane

Plot the line going through both of these points.

Read the coordinates of the intersection of the line so you can see the solution!

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Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travel
alexira [117]

Answer:

the correct choice is A. At the gas station

Step-by-step explanation:

Lucy starts at home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. As it is known south and east directions form right angle. Since the entire trip forms a triangle, this triangle is right with right angle at the post office.

Call the vertices of this triangle P - post office, G - gas station, H - home. Then HP and PG are legs of this triangle and GH is hypotenuse.

From the given data:

HP=3;

PG=4;

GH=5;

∠P=90°.

The smallest angle is opposite to the smallest side. The smallest side is leg HP, so the smallest angle is G that is the angle at gas station.

6 0
2 years ago
Read 2 more answers
A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a followed by
Eddi Din [679]
The ABC sequence of points is clockwise in both figures, so there will be an even number of reflections or a rotation.

Rotation 90° clockwise about the point (-3, -3) would make the required transformation, but that is not an option. An equivalent is ...
   • reflection across the line x = -3
   • reflection across the line y = x
5 0
2 years ago
Read 2 more answers
Malik's solution to the equation , when , is shown below. What error did Malik make first when solving the equation ? Malik did
Marianna [84]

Answer:

Malik substituted 60 for y instead of x.

Step-by-step explanation:

According to the given situation the computation of error that Malik make first when solving the equation is shown below:-

First, we will find the value of x

\frac{2}{5} x - 4(60) = 10

\frac{2}{5} x = 10 + 240

\frac{2}{5} x = 250

x = 625

Now, we have

\frac{2}{5} x - 4 y = 10

we will solve the above equation, to find the value of y

24 - 4y = 10

4y = 24 - 10

4y = 14

y = \frac{14}{4}

y = \frac{7}{2}

So, from the above calculation, the correct option is

Malik substituted 60 for y instead of x.

3 0
2 years ago
Read 2 more answers
The final velocity, V, of an object under constant acceleration can be found using the formula uppercase V squared = v squared +
Anon25 [30]

Answer:

StartFraction uppercase V squared minus v squared Over 2 s EndFraction = a

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
In a study in Scotland (as reported by Devlin 2009), researchers left a total of 320 wallets around Edinburgh, as though the wal
Ann [662]

Answer:

a) The observed proportion of wallets that were returned

  p = 0.45625

b) <em> 95% of confidence intervals for Population proportion</em>

<em>  0.40168  , 0.51082)</em>

<em>c) The lower bound of the 95% confidence interval = 0.40168</em>

<em>d) The upper bound of the 95% confidence interval = 0.51082</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

a)

Given data the  researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them

Given sample size 'n' = 320

  Given data          'x ' = 146

<em>Sample proportion </em>

              p = \frac{x}{n}

             p = \frac{x}{n} = \frac{146}{320} = 0.45625

<u><em>Step(ii)</em></u>:-

b)<em> </em><u><em>95% of confidence intervals for Population proportion</em></u>

Level of significance = 95% or 0.05%

Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96

<em>95% of confidence intervals for Population proportion are determined by</em>

<em></em>(p - Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p + Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} })<em></em>

<em></em>(0.45625 - 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} } , 0.45625 + 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} })<em></em>

<em>(0.45625 - 0.05457 , 0.45625 + 0.05457)</em>

<em>(   0.40168  , 0.51082) </em>

<em>c) The lower bound of the 95% confidence interval = 0.40168</em>

<em>d) The upper bound of the 95% confidence interval = 0.51082</em>

7 0
2 years ago
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