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3 years ago

The graphs below are based on government data on unemployment for 2017.

Mathematics

1 answer:

lord [1]3 years ago

3 0

You already got the first two questions right: the group with the highest number of people unemployed / unemployment rate is the one with the highest bar in the respective histogram.

The two graph are related in this sense: take the first age group as reference. We know that 700 people from 16 to 19 are unemployed, and that those people represent 14% of the population, then we know that the 14% of the population between 16 and 19 is 700.

We can deduce that, if x is the number of people between 16 and 19, we have

$\dfrac{14}{100}x=700 \iff \dfrac{7}{50}x=700 \iff \dfrac{x}{50}=100 \iff x=5000$

So, by the relation between the two graphs, we can deduce the total population for each age group.

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What's the equation of the line that's a perpendicular bisector of the segment connecting C (6, –12) and D (10, –8)? answers: A)

vitfil [10]

Answer:

Step-by-step explanation:

Perpendicular bisector of a line divides the line into 2 equal parts and it is perpendicular to the line.

First let's find the midpoint of CD. The point is where the perpendicular bisector will cut through the line.

midpoint= $( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Thus, midpoint of CD

$= ( \frac{6 + 10}{2} , \frac{ - 12 - 8}{2} ) \\ = ( \frac{16}{2} , \frac{ - 20}{2} ) \\ = (8, - 10)$

Gradient of line CD

$= \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 12 - ( - 8)}{6 - 10} \\ = \frac{ - 12 + 8}{ - 4} \\ = \frac{ - 4}{ - 4} \\ = 1$

The product of the gradients of perpendicular lines is -1.

gradient if perpendicular bisector(1)= -1

gradient of perpendicular bisector= -1

y=mx +c, where m is the gradient and c is the y-intercept.

y= -x +c

Subst a coordinate to find c.

<em>Since the perpendicular bisector passes through the point (8, -10):</em>

When x=8, y= -10,

-10= -8 +c

c= -10 +8

c= -2

Thus, the equation of the perpendicular bisector is y= -x -2.

5 0

3 years ago

-7(-5v-3u 4) use the distributive property to remove the parentheses

Marrrta [24]

Distributeiv poepty
a(b+c)=ab+ac

remember that (-) times (-)=(+)
and (+) TIMES (-)=(-)

SO
<span>-7(-5v-3u+4)=(-7)(-5v)+(-7)(-3u)+(-7)(4)=35v+21u-28</span>

3 0

3 years ago

Julissa gave out an equal number of oranges to each of the 6 apartments on her floor. If she gave each apartment 5 oranges, how

dybincka [34]

Answer:

30 oranges

Step-by-step explanation:

Total number of apartment in julissa floor = 6

Number of oranges given to each apartment = 5

how many oranges did Julissa give out in all?

Total number of oranges julissa's gave out = Total number of apartment in julissa floor × Number of oranges given to each apartment

= 6 × 5

= 30 oranges

Therefore, total number of oranges julissa gave out = 30

4 0

2 years ago

Read 2 more answers

A plane ticket barcelona costs £175 the price decreases by 6% work out the new price

Bond [772]

Answer: £164.50

175 decreased by 6% = 164.5

Absolute change (actual difference):

164.5 - 175 = - 10.5

Step-by-step explanation:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% × 175 =

(1 - 6%) × 175 =

(100% - 6%) × 175 =

94% × 175 =

94 ÷ 100 × 175 =

94 × 175 ÷ 100 =

16,450 ÷ 100 =

164.5

£164.50

6 0

3 years ago

Read 2 more answers

PLEASE Answer! I'll Give Brainliest And A Thanks For A GOOD Answer.

melisa1 [442]

Answer: Your welcome the answer is in the attached Image.

Step-by-step explanation: mark me brainliest.

5 0

2 years ago