Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
6.5 - 4.5 = 2
So 2 to 11 ounces would be the interval
Answer:
135°
Step-by-step explanation:
That triangle in the corner is an right angle isosceles triangle as that line the midpoint of both sides :
the base angle of this triangle (x) will be :
180 = 90 + 2x
90 = 2x
x= 45
Angles on a straight line add up to 180. So to work out a :
180 = 45 + a
135 = a
Hope this helped and brainliest please
Answer:
The inverse function f^-1 (x) = (1/5) x
Step-by-step explanation:
* Lets explain what is the meaning of f^-1(x)
- f^-1 (x) the inverse function of f(x)
* How to find the inverse function
- In the function f(x) = ax + b, where a and b are constant
- Lets switch x and y
∵ y = ax + b
∴ x = ay + b
* Now lets solve to find y in terms of x
∵ x = ay + b ⇒ subtract b from the both sides
∴ x - b = ay ⇒ divide the two sides by a
∴ (x - b)/a = y
∴ The inverse function f^-1 (x) = (x - b)/a
* Lets do that with our problem
∵ f(x) = 5x ⇒ y = 5x
∴ x = 5y
- Find y in terms of x
∵ x = 5y ⇒ divide the both sides by 5
∴ x/5 = y
∴ f^-1 (x) = (1/5) x
* The inverse function f^-1 (x) = (1/5) x
Percent means parts out of 100
x/100=x%
4/5=x%
4/5=x/100
times 100 oth sides
400/5=x
80=x
80% do
100-do=do not have
100-80=20
answer is 20%
Answer:
The probability that a particular death is due to an automobile accident is 2.72%
Step-by-step explanation:
The probability can be calculated as the percentage of each particular death.
The formula for this case is:
P(car accident) = (Number of death due a car accident / Total of deaths) * 100
P(car accident) = (24/883)100 = 2.72%
Probabilities of each particular death:
Automobile accident = (24/883)100 = 2.72%
Cancer = (182/883)*100 = 20.61%
Heart disease = (333/883) * 100 = 37.71%
