Answer: Sample space for:
Coin (S) ={H, T}
Spinner (S) = {Green, Red, Orange, Purple, Yellow}
All the Possible outcome for:
Coin =1
Spinner = 1
The total outcome there = 7
Probability of flipping tails and not spinning purple or green
=11/10
Step-by-step explanation:
All the Possible outcome for:
Coin =1/2+1/2=1
Spinner = 1/5+1/5+1/5+1/5+1/5=1
The probability of flipping tails. = 1/2
The probability of not spinning purple or green = 3/5
Therefore, the probability of flipping tails and not spinning purple or green
= 1/2+3/5
=11/10
Volume of the bottom rectangle:
12 x 4.5 x 5.5 = 297 cubic cm
Volume of triangle:
1/2 x 12 x 5 = 30 x 4.5 = 135 cubic cm
Total volume = 297 + 135 = 432 cubic cm
Answer: 6 cm
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V): π x radius ² x height
Replacing with the values given and solving for v (Volume)
1584 = π x r ² x 14
Solving for r:
1584 / (π x 14) = r²
36.01 = r²
√36.01 = r
6 cm = r
In conclusion, the radius of the cylinder is 6 centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
Option (1)
Step-by-step explanation:
Given inequality is,
-4(x + 3) ≤ -2 - 2x
Further solve this inequality,
-4x - 12 ≤ -2 - 2x
-4x + 2x - 12 ≤ -2 - 2x + 2x
-2x - 12 ≤ -2
-2x - 12 + 12 ≤ -2 + 12
-2x ≤ 10
-x ≤ 5
x ≥ -5
Therefore, on a number line draw an arrow starting with a solid circle (because of equal to sign) and moving towards the numbers greater than -5.
Option (1) is the answer.
