Hi there!
So let's see, we have a die and need to know the probability of rolling a number less than or equal to 4. Let's list the numbers that are less than or equal to 4: 1, 2, 3, 4. Now, since we know that there are 6 numbers on a die and 4 of them are less than or equal to 4, we can set up a fraction to find the percentage. The fraction would be 4/6 because 4 out of the 6 numbers on the die are less than or equal to 6. We can simplify 4/6 to 2/3 as well. To find the percentage, all we need to do is divide the numerator by the denominator. This leaves us with approximately 66.66%.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
a. Dilation of 2nd equation by a factor of 12
b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles
Answer:
114.5 in³
Step-by-step explanation:
Volume of cone:
⅓ × 3.14 × 8² × 12
= 803.84 cm³
Volume of hemisphere:
⅔ × 3.14 × 8³
= 1071.786667 cm³
Total = 803.84 + 1071.786667
= 1875.626667 cm³
1 cm = 0.393701 inches
1 cm³ = 0.393701³ inches
Volume in in³:
1875.786667/0.393701³
= 114.4579471 in³
Answer:
x ∈ (-∞, 3) U (6, ∞).
Step-by-step explanation:
We use factorization and optain
Then, we have two critical points: x=3 and x=6. Now:
(i) for x < 3 we have that x-6 <0 and x-3 <0. Then (x-6)(x-3) > 0.
(ii) for 3 < x < 6 we have that x -6 <0 and x -3 > 0. Then (x-6)(x-3) < 0.
(iii) for x > 6 we have that x-6 >0 and x-3 > 0. Then, (x-6)(x-3) > 0.
conditions (i) and (iii) satisfy the inequatliy, then the solution is x ∈ (-∞, 3) U (6, ∞).
The graph is in the picture below.
Hi there!
The answer is actually D.
Since both the numerator and the denominator multiplied by 3 is 3/9, the answer would be 9.
-1 × 3 = -3
-3 × 3 = -9
Since a negative number times a positive number is a negative number, the correct answer would be D.
Hope this helps!
