4^-3
You first need to make the exponent positive. To do this put it in a fraction.
1/4^3
Now solve the exponent.
4 * 4 * 4 =
^
16*4 = 64
1/64 is your answer
35,569.92 L of water is required to fill the pool
Step-by-step explanation:
- Step 1: Find the area of the circular pool when radius = 20/2 = 10 ft
⇒ Area = πr² = 3.14 × 10² = 314 ft²
- Step 2: Find the volume of the pool
Volume = Area × Depth
= 314 × 4 = 1256 ft³
- Step 3: Convert the volume into liters.
Volume of water = 1256 × 28.32 = 35,569.92 L (∵1 ft³ = 28.32 L)
Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering a previous event. The formula is:

In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Positive test result.
The probability of a positive test result is composed by:
- 99% of 10%(truly pregnant).
Hence:

The probability of both a positive test result and pregnancy is:

Hence, the conditional probability is:

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
You can learn more about conditional probability at brainly.com/question/14398287
The hypotenuse of the right triangle measures 3 units.
<h3>
How to find the hypotenuse?</h3>
Here we know that both legs measure:

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

Then we conclude that the hypotenuse of the right triangle measures 9 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
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