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SOVA2 [1]
2 years ago
15

Dana rolls a number cube that has sides labeled 1 to 6. What is the probability that she rolls an even number?

Mathematics
2 answers:
lys-0071 [83]2 years ago
6 0
Your answer is b: 1/4
solniwko [45]2 years ago
4 0
The probability of rolling an even number is 1/2, because half of the number faces of a number cube are even. There is a 1/6 chance for each of the even numbers to be rolled, adding this together we get a 1/2 probability.
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Find an equation of the sphere with points P such that the distance from P to A(−3, 4, 4) is twice the distance from P to B(6, 3
NeX [460]

Answer:

Therefore, we conclude that the center of sphere at point

(27/3, -8/3, -8/3) with a radius 6.89.

Step-by-step explanation:

We have the formula for distance, we get

\sqrt{(x+3)^2+(y-4)^2+(z-4)^2} =2· \sqrt{(x-6)^2+(y-3)^2+(z+1)^2}

(x+3)^2+(y-4)^2+(z-4)^2=4·[(x-6)^2+(y-3)^2+(z+1)^2]

x²+6x+9+y²-8y+16+z²-8z+16=4x²-48x+4y²-24y+4z²+8z+184

3x²+3y²+3z²-54x+16y+16z=-143

(x²-54x/3)+(y²+16y/3)+(z²+16z/3)=-143/3

(x²-54x/3+729/9)+(y²+16y/3+64/9)+(z²+16z/3+64/9)=-143/3+729/9+2·64/9

(x-27/3)²+(y+8/3)²+(z+8/3)²=428/9

We calculate a radius \sqrt{428/9} =6.89

Therefore, we conclude that the center of sphere at point

(27/3, -8/3, -8/3) with a radius 6.89.

7 0
3 years ago
There is a rectangle of length xcm. The perimeter of the rectangle is 25cm. The area of the rectangle is 36cm^2. Show that 2x^2-
Alexus [3.1K]

Answer:

My thought is x = 24, according to the calculations

Step-by-step explanation:

Look for a way to eliminate the squared.

6 0
3 years ago
What is the length of the hypotenuse of the triangle below?
Maru [420]

Answer:

Option (E)

Step-by-step explanation:

In the figure attached,

Given a isosceles right triangle with two equal legs measuring 3\sqrt{2} units

By Pythagoras theorem,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Since, hypotenuse = h

Leg 1 = Leg 2 = 3√2

Now we substitute the values,

h² = (3√2)² + (3√2)²

h² = 18 + 18

h = √36

h = 6 units

Therefore, length of the hypotenuse is 6 units.

Option (E) will be the answer.

8 0
3 years ago
Whether #1 #2 #3 and #4 is enlargement or reduction
Alisiya [41]
1. Enlargement 2.Reduction 3. <span>Enlargemnt</span>  4.Reduction
8 0
3 years ago
Read 2 more answers
Find the value of X<br> A. 60 <br> B. 57 <br> C. 29 <br> D. 33
Alexxandr [17]
Cos x = adj/hyp = 11/20
x = cos^(-1) (11/20) = 57 degrees
8 0
3 years ago
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