If you are looking to write an inequality equation that models this situation, then the answer would be:
. The "at most" signals to use the less than or equal to sign.
The probability that the cube never lands on 3 is (D) 23.3%.
<h3>
What is probability?</h3>
- A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.
To find the probability that the cube never lands on 3:
Given -
Required
- Probability of not landing on 3.
First, we need to get the probability of landing on 3 in a single toss.
For a number cube,
- n(3) = 1 and n(total) = 6
So, the probability is P(3) = 1/6
First, we need to get the probability of not landing on 3 in a single toss.
Opposite probability = 1.
Make P(3') the subject of the formula.
- P(3') = 1 - P(3)
- P(3') = 1 - 1/6
- P(3') = 5/6
In 8 toss, the required probability is (P(3'))⁸
This gives:
- P = (5/6)⁸
- P = 390625/1679616
- P = 0.23256803936
Approximate to 1 decimal place, P = 23.3%.
Therefore, the probability that the cube never lands on 3 is (D) 23.3%.
Know more about probability here:
brainly.com/question/25870256
#SPJ4
The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?
A. 6.0%
B. 10.4%
C. 16.7%
D. 23.3%
To round it to the nearest unit it would be 38. To round it to the nearest ten it would be 40.
Answer:

Step-by-step explanation:
Given that:
The paraboloid surface z = 6x² + y² and the parabolic cylinder y = 5x²
Let assume that:
x = t
then from y = 5x², we have:
y = 5t²
Now replace y = 5t² and x = t into z = 6x² + y²
z = 6t² + (5t²)²
z = 6t² + 25t⁴
Hence, the curve of intersection is illustrated by the set of equations:
x = t, y = 5t², and z = 6t² + 25t⁴
As a vector equation:
