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Radda [10]
2 years ago
11

A line has a gradient of -2 A line that is parallel to this will have a gradient of ...

Mathematics
1 answer:
san4es73 [151]2 years ago
5 0

Given:

A line has a gradient of -2

A line that is parallel to this will have a gradient of ..... .

To find:

The missing value.

Solution:

Gradient of a line is also known as slope of the line.

We know that the slopes of the parallel lines are equal.

A line has a gradient of -2. So, the slopes of all the lines which are parallel to this line have a gradient of -2.

Therefore, the missing value is -2.

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5000 people voted in an election. Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes.
SCORPION-xisa [38]

Answer:

Step-by-step explanation:

u got the first 2 correct

percentage of votes Adams claims :

so he claims 2681 out of 5281..

2681 / 5281 = (jeez...u dont want it rounded)...ok....its :

0.50766900208 which equals 50.766900208 % <==

the total of the percentages :

52% + 50.766900208% = 102.766900208 % <==

6 0
3 years ago
Read 2 more answers
In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and
coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 40 and 65 meters.

This means that a = 40, b = 65

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is P(X > 50)

We have that

P(X \leq 50) + P(X > 50) = 1

So

P(X > 50) =  1 - P(X \leq 50)

P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4

P(X > 50) =  1 - P(X \leq 50) = 1 - 0.4 = 0.6

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

M = \frac{a + b}{2}

So

M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

So

S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22

5 0
3 years ago
Triangle DEF is the image of triangle ABC after a sequence of transformations. After you reflect ABC in the y-axis, what must yo
Artemon [7]

Answer:

Step-by-step explanation:

After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.

ABC and DEF are congruent due to the following common properties of reflections and translations.

1. does not change the nature of geometric elements, i.e. maps a line to a line,  a segment to a segment, etc.

2. preserve lenths of segments.

3. preserves angles

By the congruent theorem of SSS, the two triangles are congruent.

4 0
3 years ago
  Van Gogh’s painting Starry Night measures 92 cm long by 73 cm high. You buy two posters, each showing an enlargement of the pa
nirvana33 [79]
I think it's 138 Long by 109.5 more accurate .
92/73 = 1.26
120/100 = 1.2
138/109.5 =1.26
Hence 138 by 109.5 is more proportionate
3 0
3 years ago
5z + 2 = 3z - 10<br><br>Show your work and I will give you brainlist ​
yuradex [85]

Answer:

z = -6

Step-by-step explanation:

5z + 2 = 3z - 10

Subtract 3z from both sides

2z + 2 = -10

Subtract 2 from both sides

2z = -12

Divide each side by 2

z = -6

So, the answer is z = -6

6 0
3 years ago
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