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3 years ago

15

A randomly generated list of integers from 0 to 4 is being used to simulate an event, with the numbers 1,2 and 3 representing a

success. What is the estimated probability of a success?

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

The probability of succes is 3/5

Step-by-step explanation:

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IM SUPER BAD AT MATH SO PLZZZ HELP I WOULD APPRECIATE ITTTT PLZZ

vaieri [72.5K]

Answer:

The answer is C

Step-by-step explanation:

As you can see, the triangle is split in to 2 right triangles. We can use this to check our work. The formula for solving a triangle is base * height all divided by two.

In this case, b = 6, and h = 4. We get 24 when we multiply them, so when we divide it by two, we get 12

Let's check using the right triangles now.

We know the base is split in to two when we make two right triangles. We can do 3 * 4 = 12/2 = 6. Now we can do 6 * 2 since there are two right triangles, once again, we get 12.

The answer is C

4 0

3 years ago

Please don't answer wrong.

Tamiku [17]

Answer:

<h3><u>Part (a)</u></h3>

<u />

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

where:

(a, b) is the center
r is the radius

Given equation: $x^2+y^2=6.25$

Comparing the given equation with the general equation of a circle, the given equation is a <u>circle</u> with:

center = (0, 0)
radius = $\sqrt{6.25}=2.5$

To draw the circle, place the point of a compass on the origin. Make the width of the compass 2.5 units, then draw a circle about the origin.

<h3><u>Part (b)</u></h3>

Given equation: $x+y=1.5$

Rearrange the given equation to make y the subject: $y=-x+1.5$

Find two points on the line:

$x=-2 \implies -(-2)+1.5=3.5\implies (-2,3.5)$

$x=2 \implies -(2)+1.5\implies-0.5\implies (2,-0.5)$

Plot the found points and draw a straight line through them.

The <u>points of intersection</u> of the circle and the straight line are the solutions to the equation.

To solve this algebraically, substitute $y=-x+1.5$ into the equation of the circle to create a quadratic:

$\implies x^2+(-x+1.5)^2=6.25$

$\implies x^2+x^2-3x+2.25=6.25$

$\implies 2x^2-3x-4=0$

Now use the quadratic formula to solve for x:

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

$\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(2)(-4)}}{2(2)}$

$\implies x=\dfrac{3 \pm \sqrt{41}}{4}$

To find the coordinates of the points of intersection, substitute the found values of x into $y=-x+1.5$

$\implies y=-\left(\dfrac{3 + \sqrt{41}}{4}\right)+1.5=\dfrac{3-\sqrt{41}}{4}$

$\implies y=-\left(\dfrac{3 - \sqrt{41}}{4}\right)+1.5=\dfrac{3+\sqrt{41}}{4}$

Therefore, the two points of intersection are:

$\left(\dfrac{3 + \sqrt{41}}{4},\dfrac{3-\sqrt{41}}{4}\right) \textsf{ and }\left(\dfrac{3 - \sqrt{41}}{4},\dfrac{3+\sqrt{41}}{4}\right)$

Or as decimals to 2 d.p.:

(2.35, -0.85) and (-0.85, 2.35)

6 0

2 years ago

Hello ! i need help for that ----> (-3x+1)(2x-5)-(-3x+1)(-2x+7) calculate the value of E for : x = 1

Naya [18.7K]

25 plus 70 and put the abcd

3 0

3 years ago

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement

katrin [286]

Answer:

see explanation

Step-by-step explanation:

Since figure B is smaller than Figure A then Figure B is a reduction.

To find the scale factor, calculate the ratio of corresponding sides, image to original.

Using the base lines of both triangles, then

scale factor k = $\frac{2}{6}$ = $\frac{1}{3}$

5 0

3 years ago

If the simple interest on $3,000 for 8 years is $1,680, then what is the interest rate?

madam [21]

We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years

In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...

8 0

3 years ago