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shtirl [24]
3 years ago
6

A rectangular room is 3 3 times as long as it is wide, and its perimeter is 64 64 meters. find the dimension of the room.

Mathematics
1 answer:
lora16 [44]3 years ago
4 0
Perimeter = 2L + 2W    (where L = length and W = width)

And we are given that L = 3W

So substituting for L, we have the equation:-

2(3W) + 2W = 64

6W + 2W = 64

8W = 64 

W = 8  meters

So the length = 3*8  = 24 meters

Answer:- Length = 24 m and Width = 8 m.



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Robin purchased a piece of land in the year 2000 for $15,000. The value of the land increases at the rate of 13.17% each year. I
-Dominant- [34]
The value of the land increases by 13.17% each year So it's growth function which is V (t)=15000 (1+r)^t Where r is the growth rate which is in decimal 13.17/100=0.1317 So it's D) V(t) = 15000(1.1317)t; growth
6 0
3 years ago
I need help what is (6x9)+(7+3)=
Inessa05 [86]

Answer:

64

Step-by-step explanation:

Evaluate the parenthesis before doing the addition, that is

(6 × 9) + (7 + 3)

= 54 + 10

= 64

3 0
3 years ago
In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre
Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that p = 0.09

41 people arrested for DUI in Illinois are selected at random.

This means that n = 41

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1).

Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

E(X) = np = 41*0.09 = 3.69

d. What is the standard deviation of the number of repeat offenders?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83

4 0
2 years ago
el valor del punto px que divide con razon de 1/4 al segmento AB considerando los puntos A (3,1) y D(8,9)
vitfil [10]

Answer:

(4, 13/5)

Step-by-step explanation:

Aquí, estamos encontrando el punto que divide el segmento en 1/4

supongamos que tenemos la proporción 1: 4 como a: b

Matemáticamente, el punto que divide el segmento será;

Coordenada x = (bx1 + ax2) / (a ​​+ b)

donde (x1, x2) = (3,8)

Al conectar estos valores, tenemos; (4 (3) + 1 (8) / (1+ 4) = (12 + 8) / 5 = 20/5 = 4

Coordenada y = (by1 + ay2) / (a ​​+ b) donde (y1, y2) = (1,9)

Conectando estos valores que tenemos; (4 (1) + 1 (9)) / (1 + 4) = (4 + 9) / 5 = 13/5

Por lo tanto, las coordenadas del punto es (4,13 / 5)

3 0
3 years ago
Can anyone tell me what the answer please
Tasya [4]

What you're looking at in this image are two alternate exterior angles.

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

<u>Subtract 20 from both sides:</u>

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

<u>Subtract 3x from both sides:</u>

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

- breezyツ

3 0
3 years ago
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