Answer:
1/6
Step-by-step explanation:
As mentioned, a regular dice has 6 sides: each labeled numbers 1 through 6. There are a total of 6 outcomes, so the denominator is 6. Since there is only a single 5 on the dice, the numerator is 1.
Therefore, the probability is 1/6.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
The sampling distribution of X, for a sample of size 16, will be approximately normal with mean 2 mm and standard deviation 0.01 mm.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For the population:
Mean 2 mm, standard deviation 0.04 mm
Describe the sampling distribution of X (for a sample of size 16).
Sample of size 16 means that 
By the Central Limit Theorem, approximately normal with mean 2 and standard deviation 
Answer:
A.
Step-by-step explanation:
If the results are similar (A) should be your answer!
You can draw a diagram of the situation, representing it by a right triuangle.
In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.
The opposed leg to 41° is the height of the ballon.
Then you can use the sine trigonometric function.
sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)
=> x = 986m.
Answer: 986m