Answer:
What is P(A), the probability that the first student is a girl? (3/4)
What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)
What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)What is P(A and B), the probability that the first student is a girl and the second student is a girl? (1/2)
The probability that the first student is a girl is (3/4), likewise for the 2nd 3rd and 4th it's still (3/4). The order you pick them doesn't matter.
However, once you're looking at P(A and B) then you're fixing the first position and saying if the first student is a girl what's the probability of the second student being a girl.
Answer:
Step-by-step explanation:
The slope of a graph is also known as its gradient, which is the steepness of the graph.
If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.
m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).
Answer:
23.24 feet
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
n, n + 2, n + 4, n + 6 - four consecutive odd integers
-72 - the sum
The equation:
n + (n + 2) + (n + 4) + (n + 6) = -72
n + n + 2 + n + 4 + n + 6 = -72
4n + 12 = -72 |subtract 12 from both sides
4n = -84 |divide both sides by 4
n = -21
n + 2 = -21 + 2 = -19
n + 4 = -21 + 4 = -17
n + 6 = -21 + 6 = -15
Answer: -21, -19, -17, -15.
