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cluponka [151]
3 years ago
5

When rolling fair number cube with numbers 1 through 6 what is the probability of rolling a number less than 3

Mathematics
2 answers:
jenyasd209 [6]3 years ago
4 0

Each face of the cube has an equal \dfrac16 probability of being rolled. There are 2 numbers on the cube less than 3 (1 and 2). The event of rolling a 1 and the event of rolling a 2 are mutually exclusive (you can't roll both faces at once), so

P(1\text{ or }2)=P(1)+P(2)=\dfrac16+\dfrac16=\dfrac13

Alenkinab [10]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

There are 2 numbers on a die that are less then 3. That's 2/6 or 1/3. There's a 1/3 chance that the number will be less then 3.

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A function, f(x) = 4x + 5, has a domain 0 < x < 50. What is its range?
Roman55 [17]

Answer:

f(x) = 4x+5 ; 0 ≤ x ≤ 50

 

The range is the possible output values of f(x)

 

4(0) + 5 = 5       smallest output value in range

4(50) + 5 = 55    largest output value in range

 

The outputs are between 5 and 55 including the endpoints so

the range is [5, 55]

7 0
3 years ago
Read 2 more answers
Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

#SPJ1

5 0
2 years ago
Help plzzzzzz plz help this ? is realy hard Simplify the expression 7(a−3+4b).
velikii [3]

7(a−3+4b)

distribute

7a-7*3+7*4b

7a-21+28b

4 0
3 years ago
Read 2 more answers
This graph has rotational symmetry about the points
mart [117]

Answer: Answer for figure one is origin (0,0)

Answer for figure two is (2,4) /

Step-by-step explanation:

a) Here we can see that given graph is the equation of cubic function which is

f(-x) = -f(x) that is given function is odd then rotational symmetry point is origin always ,therefore point of rotational symmetry is origin (0,0)

b) The rotational symmetry of  an ellipse is 180 degrees about the center  of  the ellipse .

And here the center of given ellipse is  (2,4) ,therefore its rotational  symmetry is about (2,4) That is if we rotate the given ellipse 180 degrees about (2,4) it will be at its original position.

7 0
3 years ago
When flying at an altitude of 5 miles, the lines of sight to the horizon looking north and south make about a 173.7 degree angle
oksian1 [2.3K]
5 miles high is one of the sides of a triangle depending on accuracy level
h^2=x^2+y^2
we don't have 2 distances
Tan A=O/a
O=a tan A
We solve for O because the angle is at the top of the line going up and we want the opposite angle that is along the ground
O=5×tan(173.7/2)=90.854033512
The distance he can see is:
90.85*2~181.7 miles

Now we need to find the distance between lines:
The north south distance between each line is 69 miles
thus the number of degrees he will see will be:
181.7/69
=2 19/30
7 0
3 years ago
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