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Phoenix [80]
3 years ago
9

About 1414​% of the population of a large country is nervous around strangersnervous around strangers. If two people are randoml

y​ selected, what is the probability both are nervous around strangersnervous around strangers​? What is the probability at least one is nervous around strangersnervous around strangers​?
Mathematics
1 answer:
seraphim [82]3 years ago
6 0

One person being nervous around strangers is assumed  independent of other people behaviour. Then, the multiplication rule can be applied as

both nervous = 0.14*0.14 = 0.0196 = 1.96%

one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%

At least one nervous = 1.96%  + 12.04% = 14%

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Aleksandr-060686 [28]

9514 1404 393

Answer:

  A.  ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

5 0
3 years ago
1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.
Lady_Fox [76]

Answer:

Step-by-step explanation:

Well is she wanted to make $80 “b” she would have to garden for 16 hours to make a maximum of $80

“C” if she wanted to make it out of babysitting she would have to work the same for 8 hours if she babysit

Workout : b part = 10+10+10+10+10+10+10+10 Key:10=2

:c part = 20+20+20+20. Key:20=2

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4 0
2 years ago
Solve for x.<br> I was sure the answer was 2?<br> Please show me the breakdown. THX
Murljashka [212]

Answer:

x = 8 and y = 10

Step-by-step explanation:

Since the figures are congruent:

Angle PQR = EFG

6y + x = 68

Segment QR = FG

2x - 4 = 12

Solving that:

2x - 4 = 12

2x = 16

x = 8

Replacing x in 6y + x =68

6y + 8 = 68

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7 0
3 years ago
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mestny [16]

Answer:

y = 2/3x - 1

Step-by-step explanation:

The simpliest way to determine the slope of the line is to see the rise over run of the line. In this case, we are given two points which are at (0, -1) and (3,1)

By calculating rise of run, we can see that the starting point goes up by 2 units, from -1 to 1 and goes to the right 3 units, from 0 to 3

In this case, that means we have a slope of 2/3x.

The +b plays into the y-intercept of the line, which is actually the same of one of our points: (0,-1)

Since this number is a negative, it would actually be y = (2/3)x + (-1) which is the same as y=2/3x - 1

7 0
2 years ago
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jeka57 [31]

Answer:

m < - 6

Step-by-step explanation:

Given

m + 2 < - 4 ( subtract 2 from both sides )

m < - 6

7 0
2 years ago
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