Answer:
The correct answer to the following question will be "0.438".
Step-by-step explanation:
Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.
Although each student becomes independent of one another, we may conclude:
"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40
Given:
Number of surveys
= 12
Exactly 4 students have taken chemistry:
On substituting the above equation, we get the probability of approximately "0.438".
So that the above would be the appropriate answer.
Answer:
P(6) = 0.6217
Step-by-step explanation:
To find P(6), which is the probability of getting a 6 or less, we will need to first calculate two things: the mean of the sample (also known as the "expected value") and the standard deviation of the sample.
Mean = np
Here, "n" is the sample size and "p" is the probability of the outcome of interest, which could be getting a heads when a tossing a coin, for instanc
So, Mean = n × p = (18) ×(0.30) = 5.4
Next we we will find the standard deviation:
Standard Deviation = 
n = 18 and p = 0.3 "q" is simply the probability of the other possible outcome (maybe getting a tails when flipping a coin), so q = 1 - p
Standard Deviation =
= 1.944
Now calculate the Z score for 6 successes.
Z = ( of successes we're interested in - Mean) ÷ (Standard Deviation)
=(6-5.4) ÷ (1.944) = 0.309
we have our Z-score, we look on the normal distribution and find the area of the curve to the left of a Z value of 0.309. This is basically adding up all of the possibilities for getting less than or equal to 6 successes. So, we get 0.6217.
Answer:
B. 1.2×10^-3 mm
Step-by-step explanation:
What constitutes an "appropriate" unit depends on the use of the number. Since we're not told of any particular use, we might choose the smallest of the available units: mm.
1.2×10^-3 mm
_____
<em>Additional comment</em>
The most appropriate unit would be the one that eliminates the power-of-ten multiplier:
= 1.2 µm
Answer:
8r^4
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer to this question is 12+6sqrt3.
This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.
Using the rule you now know that DF is 12. Then use the Pythagorean Theorem to find the length of DE. 12^2=144, and 6^2=36. 144-36=108.
The square root of 108 simplified=6sqrt3.
Then you add them together and get 12+6sqrt3.
