Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
------------
The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
-----------
Item a:
Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
-----------
Item b:
Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
-----------
Item c:
- 68% is within 1 standard deviation of the mean, so:
Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965
Answer:
Odds for male= 1.538
Odds for female = 0.65
Step-by-step explanation:
The question is asking for odds, not a probability. A probability shows how much the chance for the event to happen, so it can be expressed as a percentage. Odds show how the event more likely to happen compared to the chance it did not happen. If an event has a 90% probability, the odds will be 90:10= 9
In this case, the odds of selecting a male will be:
number of male : number of female= 20:13 = 1.538
The odds of selecting a female will be
number of female : number of male = 13/20 = 0.65
Answer:
The answer is 
, or the first option.
The last option isn't correct for this answer, even though it is correct mathematically. This is because it wants the fully simplified version, so the 5o squared would turn into a 5 and a 2, with the 5 multiplying the -6, and the 2 remaining underneath the square root.
#teamtrees #WAP (Water And Plant)
Polynomial equation solver
5x - 5 = 5
Standard form:
5x − 10 = 0
Factorization:
5(x − 2) = 0
Solutions:
x = 10
5
= 2
Hello there! How are you today?
4x + 5 -2 = 3x + 7x - 15
First, we need to get the variable (x) on one side. To do that, we must simplify the right side of the equation, and then decide what to do from there, so let's proceed to do so.
3x + 7x = 10x
4x + 5 - 2= 10x - 15
Now we have x simplified on both sides of the equation. However, we need x to be on one side of the equation in order to solve for it.
Subtract 4x from both sides.
4x - 4x = 0
10x - 4x = 6x
We are now left with:
6x - 15 = 5 - 2
Simplify the right side of the equation.
5 - 2 = 3
6x - 15 = 3
Now we need to isolate x. To isolate x, we need to add 15 to both sides, as x is being subtracted by 15, and adding 15 will cancel it out.
-15 + 15 = 0
3 + 15 = 18
We now are left with:
6x = 18
Now we only have one step left, and that is to solve for x. Since x is being multiplied by 6, we need to perform the opposite order of operations to cancel it out. To do that, we must divide both sides by 6 to solve for x.
6x = 18
Divide both sides by 6.
6x / 6 = x
18 / 6 = 3
We are now left with the solution:
x = 3
I hope this helps!
