Answer:
Smallest: 15,840 ft
Largest: 16,896 ft
Step-by-step explanation:
1 mi = 5,280 ft
Setup proportion to solve for the <u>smallest</u>:
Do butterfly method and you should get this:
Setup proportion to solve for the <u>largest</u>:
Butterfly method:
Answer:
Slope= -2
y-intercept= -4
Step-by-step explanation:
To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the slope-intercept form. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.
Given equation: 6x +3y= -12
Let's leave the y term on the left of the equation and bring the rest to the right.
3y= -6x -12
To ensure that the coefficient of y is 1, divide both sides by 3.
y= -2x -4
The equation is now in the slope-intercept form.
The slope is the coefficient of x (the number that comes before x), thus the slope is -2. The y-intercept is -4.
Answer:
The probability that the number of correct answers is 4 is 0.2461.
Step-by-step explanation:
Let <em>X</em> = number of correct answers.
The probability that an answer is correct is,P (X) = <em>p</em> = 0.50.
The total number of questions is, <em>n</em> = 9.
The event of an answer being correct is independent of the other answers.
The success of each trial is defined as a correct answer with equal probability of success for each trial, i.e. 0.50.
The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 9 and <em>p </em>= 0.50.
The probability mass function of <em>X</em> is:
Compute the value of P (X = 4) as follows:
Thus, the probability that the number of correct answers is 4 is 0.2461.