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3 years ago

A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?

Mathematics

1 answer:

Serjik [45]3 years ago

3 0

Answer:

87.5%

Step-by-step explanation:

The area of the entire rectangle is 8 by 6,

8x6=48 so the area is 48 units^2.

The area of the triangle is A=1/2bh

A=1/2(2)(6)

A=1(6)

A=6 units^2

6/48=0.125

0.125=12.5%

You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.

100-12.5=87.5

There is an 87.5% chance it will not land in the triangle

You might be interested in

You can model that you expect a 1.25% raise each year that you work for a certain company. If you currently make $40,000, how ma

gizmo_the_mogwai [7]

Answer:

94 years

Step-by-step explanation:

We can approach the solution using the compound interest equation

$A= P(1+r)^t$

Given data

P= $40,000

A= $120,000

r= 1.25%= 1.25/100= 0.0125

substituting and solving for t we have

$120000= 40000(1+0.0125)^t \\\120000= 40000(1.0125)^t$

dividing both sides by 40,000 we have

$(1.0125)^t=\frac{120000}{40000} \\\\(1.0125)^t=3\\\ t Log(1.0125)= log(3)\\\ t*0.005= 0.47$

dividing both sides by 0.005 we have

$t= 0.47/0.005\\t= 94$

8 0

3 years ago

A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost

Anon25 [30]

Answer:

Step-by-step explanation:

2/hour

2×4 hours =8 dollars ;

Then 3x(because we dk the time taken, so replaced by x and then times 3)

Equation =8+3x

7 0

2 years ago

the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons

padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

Upper Limit

$\dfrac{11}{16} + \dfrac{1}{64}$

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

$\dfrac{11*4}{16*4} + \dfrac{1}{64}$

$\dfrac{11*4}{16*4} + \dfrac{1}{64}$ Which results in

$\dfrac{44}{64} + \dfrac{1}{64}$

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

Lower Tolerance

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

$\dfrac{11}{16} - \dfrac{1}{64}$

Your answer should be 3 and 43/64

4 0

3 years ago

Find the quotient and any excluded values. (x + 5/x^2 + 9x + 20)/(x^2-16/x-4)

Wittaler [7]

By (x + 5/x^2 + 9x + 20) you apparently meant the following:

x+5
----------------------
x^2 + 9x + 20

and by

(x^2-16/x-4)
x^2-16
you apparently meant ---------------
x - 4

Please use additional parentheses for clarity.

Dividing,

 x+5 (x-4)(x+4)
---------------------- * ---------------
x^2 + 9x + 20 x-4

Now, x^2 + 9x + 20 factors into (x+4)(x+5), so what we have now is

(x+5)(x+4)
------------------------- = 1 This is true for all x, so there are no exclusions.
(x+4)(x+5)

3 0

3 years ago

The sum of 8x2 -x+4 and x-5 is

Leokris [45]

The answer is 9bahahaha

4 0

2 years ago