When the exercise asks to describe the likelihood of the event using the probabilities means that taking into account that the probabilities are numbers between 0 and 1, see if the events are likely or not to happen.
For a soft drink, which has a 0.80 probability is a likely event that could happen because it is greater to the middle (0.5) but is not so close to 1.
For a daily special, which has a 0.25 probability is more and unlikely event that could still happen but its not so common to.
For dessert, which has a probability of 0.5 probability is neither a likely nor unlike event because the probability is really close to the middle.
For appetizer, which has a probability of 0.06 probability is more an unlikely/impossible event because the probability is so small and close to 0 that it is not common to happen at all.
Answer:
Step-by-step explanation:
Okay! so first, let's specify the components of a slope intercept form equation.
We got y=mx+b as a general formula, where m is slope and b is the y intercept.
The graph gives us two points on the line at (0, 5) and (-6, 7)
To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!
Plugging in the points into the equation, we get 2/-6, or -1/3
we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.
The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.
y=mx+b
y=-1/3x+5
Answer:
253 mmHg
Step-by-step explanation:
Since the atmospheric pressure,
when a = height (in km) = 8.47 km, then the atmospheric pressure P(a) is
P(8.47) ≅ 253 mmHg
Answer: 60pi cm^2 = 188.5 cm^2
Step-by-step explanation:
You don't need to understand how or why the curved surface area of a cone is pi×r×L. You just need to see that the answer is area big cone minus area small cone.
big cone curved surface area
B = pi × 8 × 10 cm^2 = 80pi cm^2
small cone dimensions. It's similar to big cone so all dimensions scale by same factor, namely 1/2 ("the height of the small cone is half the height of the large cone.")
small cone curved surface area
S = pi × 8/2 × 10/2 cm^2 = 20pi cm^2
Frustum curved surface area = B - S = 60pi cm^2 = 188.5 cm^2
But if you want to know why the curved surface area is pi r L, take a paper cone with base radius r and slant length L, and cut straight from base to apex. It flattens out to the sector of a circle with radius L and arc length 2pi r.
Now the arc length of a full circle of radius L is 2pi L, and its area is pi L^2. So the area is half arc length (pi L) times radius (L).
Arc length of sector is 2pi r
Half arc length is pi r
Radius is L
Area of sector of circle unrolled from cone is pi r L.
First you find the radius, so 10/2 = 5. Then you do the circle area formula <em>πr</em>2. So, 3.14 x 5². Which gets you 78.54. Hope this helps.