Answer:
1/3
Step-by-step explanation:
In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.
Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.
There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2
There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3
The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3
Consider the right triangle HBF. The Pythagorean theorem tells you ...
HF² = HB² + BF²
The lengths HB and BF can be determined by counting grid squares, or by subtracting coordinates. Here, it is fairly convenient to count grid squares. When we do that, we find ...
HB = 2
BF = 5
Using these values in the equation above, we get
HF² = 2² + 5²
HF² = 4 + 25 = 29
Taking the square root gives the length HF.
HF = √29
Answer: 2 inches, 3 inches, or 3.125 and 2.083
Explanations:
The simplest way is to take 20% of the 2.5 inches and go that much above & below 2.5 inches.
2.5 x 20% = 2.5 x 0.20 = 0.5
So 2.5 - 0.5 = 2 inches was predicted
And 2.5 + 0.5 = 3 inches was predicted.
The more complicated way is to see number + 20% of that number = 2.5, and what number - 20% = 2.5.
Which solution sounds more like what you’re doing in class right now?
If it’s the more complicated way:
0.8x = 2.5 (80% of the predicted rain value equals 2.5)
x = 3.125 inches was predicted
1.2x = 2.5 (120% of the predicted rain value equals 2.5)
x = 2.083 inches was predicted
Sorry, this is probably confusing. Let me know what questions you have.
Answer:
If problem is "-|2x+3|+8=12"
then there is (<em>no solution.)</em>
Step-by-step explanation:
Let's solve your equation step-by-step.
−|2x+3|+8=12
Step 1: Add -8 to both sides.
−|2x+3|+8+−8=12+−8
−|2x+3|=4
Step 2: Divide both sides by -1.
−|2x+3|=4
-1 -1
|2x+3|=−4
Step 3: Solve Absolute Value.
|2x+3|=−4
No solutions Because absolute value is less than 0.
Answer:
Step-by-step explanation:
<u>Step 1: Determine the area of the left rectangle</u>
We can tell that the total shape seems like two rectangles glued together. We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them. Lets first solve the left rectangle.
<u>Step 2: Determine the area of the right rectangle</u>
<u>Step 3: Determine the total area</u>
Answer:
