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Oksanka [162]
3 years ago
14

A rectangle has the width of r+3 and a length of 2r+9. What is the perimeter of the rectangle

Mathematics
2 answers:
VikaD [51]3 years ago
5 0
There are 4 sides to a rectangle and there are 2 sets of parallel sides equal in length. To calculate the perimeter you need to do 2(r+3) + 2(2r+9) which equals 6r+24. Hope this helps.
Alina [70]3 years ago
4 0

Answer:

6r+24

Step-by-step explanation:

2(r+3)=2r+6

2(2r+9)=4r+18

(2r+6)+(4r+18)=6r+24

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Svetllana [295]

Answer:

y=−4+2√5(−x−7)

y=−4−2√5(−x−7)

4 0
2 years ago
A rectangular rug is 1.8m long 0.7 wide, all measurement are given to 1 decimal place
Nikolay [14]
Answer:

Explanation:

A. The minimum possible length of the rug is 1.

B. The maximum area of the rug is 2m^2
3 0
3 years ago
There are 4 green marbles and 2 red marbles in the jar. You just randomly draw one by one without replacement and stop when you
zalisa [80]

Answer:

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value for X is:

EV = 1.33...

Step-by-step explanation:

We have a total of 6 marbles in the jar.

The probability of getting a red marble in the first try  (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:

P(0) = 2/6 = 1/3

The probability of drawing one green marble (X = 1)

is:

First, you draw a green marble with a probability of 4/6

Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5

The joint probability is:

P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15

The probability of drawing two green marbles (X  = 2)

Again, first we draw a green marble with a probability of 4/6

Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5

Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4

The joint probability is:

P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5

The probability of drawing 3 green marbles (X = 3)

At this point you may already understand the pattern:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

finally, we draw a red marble with a probability 2/3

The joint probability is:

P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)

Finally, the probability of drawing four green marbles (X = 4) is given by:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

fourth, we draw a green marble with a probability 1/3

Finally, we draw a red marble with a probability 2/2 = 1

The joint probability is:

P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value will be:

EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)

EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33

So we can expect to draw 1.33 green marbles in this experiment.

5 0
3 years ago
The Perimeter is x+38
OLga [1]
P=x+38

add all individual sides together (is also the perimeter):
p=(x+3)+(x-5)+x+(x-2)+(x-4)+(x-1)+(x-1)
=7x-10

set both p equal:
x+38=7x-10
38=6x-10
48=6x
8=x

then insert x=8 in all the side/perimeter equations:
p=x+38=8+38=46

sides:
x=8
x-2=8-2=6
x-1=8-1=7
x-4=8-4=4
x-5=8-5=3
x+3=8+3=11
8 0
3 years ago
At a construction job for a house there are 16 painters. Of these painters, 4 of them are painting the
Nikolay [14]

For this case, we have the total of painters is 16, so to determine what percentage is painting the interior of the house, we make a rule of three:

16 ---------------> 100%

4 -----------------> x

Where "x" represents the% of painters who paint the interior of the house.

x = \frac {4 * 100} {16}\\x = 25

Thus, 25% of painters are painting the interior of the house.

Answer:

25%

8 0
3 years ago
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