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vesna_86 [32]
3 years ago
7

Ethan rolls a 6-sided die. What is the probability that he gets a number greater than 4 or an even number?

Mathematics
2 answers:
Marrrta [24]3 years ago
3 0
Well,

The probability will be the number of favorable outcomes over the total number of outcomes.

The number of favorable outcomes will be the numbers greater than 4 (5,6) and the even numbers (2,4,6).  So the favorable outcomes are 2,4,5, and 6.  That is 4 total.

\frac{4}{6} \ or\  \frac{2}{3}
Serga [27]3 years ago
3 0
Getting a number greater than 4 means getting 5 or 6
Getting an even number means getting 2,4 or 6
Hence there are 4 favorable cases out of 6 possible cases, and the probability is 4/6=2/3.
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Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students al
geniusboy [140]

Answer:

8$

Step-by-step explanation:

4 students contribute 12$ Each.

So, total amount becomes 12 x 4 = 48$

If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$

8 0
2 years ago
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa
Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :x^2+y^2+4z^2=36

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

\nabla f(x,y,z)=\\\nabla f(x,y,z)=

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)

So, 2x=-4\lambda

\Rightarrow x=-2\lambda

2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda

Substitute the value of x , y and z in the ellipsoid equation

(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2

With \lambda = 2

x=-2(2)=-4

y=2

z=2

With\lambda =- 2

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0
3 years ago
Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4?
notka56 [123]
X(x - 2)(x - 4)
x(x² - 6x + 8)
x³ - 6x² + 8x
5 0
3 years ago
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SImplify the equation .. PLS HELP ME
Georgia [21]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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What are the end points of the triangle called? How are they labeled?
horrorfan [7]

For this case we have that by definition:

A triangle is defined by three lines that are called sides, or by three points called vertices.

We know that:

  1. <em>The vertices of a triangle are labeled with capital letters. </em>
  2. <em>The sides of a triangle are written with lowercase letters. </em>
  3. <em>The angles of a triangle are written similarly to the vertices. </em>

Answer:

The end points of the triangle are called vertices.

They are labeled in capital letters.

6 0
2 years ago
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