Answer:
The range of cheerleaders' heights lies within the interval [58, 74)
It includes all real numbers from 58 inches and above, but below 74 inches.
Step-by-step explanation:
we have
Separate the combined inequality into two distinct inequalities
-----> inequality A
-----> inequality B
Solve inequality A
Subtract 28 from both sides
Split by 4 on both sides
Reformulate
Address inequality B
Subtract 28 from both sides
Split by 4 on both sides
consequently
The height range of the cheerleaders is the interval [58, 74)
It consists of every real number starting from 58 inches and less than 74 inches
Answer:
160/1001, 175/1001
Step-by-step explanation:
i) We calculate:
₈C₁ methods to select 1 new camera from a selection of 8
₆C₃ methods to select 3 refurbished cameras from a selection of 8
₁₄C₄ methods to select 4 cameras from the total of 14 cameras
The probability formula is:
P = ₈C₁ ₆C₃ / ₁₄C₄
P = 8×20 / 1001
P = 160 / 1001
P ≈ 0.160
ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:
P = ₆C₄ / ₁₄C₄
P = 15 / 1001
Therefore, the combined probability is:
P = 160/1001 + 15/1001
P = 175/1001
P ≈ 0.175
Answer:
Ben could have sold a maximum of 6 turkey sandwiches.
Step-by-step explanation:
Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.
Our goal is to determine the largest number of turkey sandwiches Ben might have sold.
4 veggie wraps were sold (y).
Thus, the inequality is: 2.50x + 3.50(4) < 30
2.50x + 14 < 30
- 14 - 14
2.50x < 16
Ultimately, Ben could sell a maximum of 6 turkey sandwiches.
Answer:
a) Ann has a 1/3 chance of winning in the first round
b) The chance of Ann winning for the first time in the fourth round is 8/81
c) The probability that Ann's first win occurs after the fourth round is 16/81
Step-by-step explanation:
a) Each strategy is played with a probability of 1/3. Given any strategy, there’s a 1/3 chance that Bill will choose the strategy that allows Ann to win. Consequently, the probability of Ann securing a victory in the first round (or any round) is
1/3 * 1/3 + 1/3 * 1/3 + 1/3 * 1/3 = 1/9 + 1/9 + 1/9 = 1/3.
Thus, the likelihood of Ann winning the initial round is 1/3.
b) The chances of Ann winning a round stand at 1/3; therefore, her chances of not winning are 2/3. This must happen three times before her first victory. Thus, the probability that Ann's first win occurs in the fourth round is
(2/3)³ * 1/3 = 8/81.
c) The first victory happens after the fourth round if she remains unsuccessful in the first four rounds, translating to a possibility of (2/3)⁴ = 16/81.
Answer:
To summarize the answer:
Step-by-step explanation:
Given:
Here is the graph associated with this question:
The second function, denoted as 
, does not qualify as a function.
Keep in mind that the g(x) function is the inversion of the f(x) function. Recognizing this pattern indicates a reflection on the Y-axis.
Reflection on the axes:
In the x-axis:
Enhance the function by -1 to illustrate an exponential curve around the x-axis.
In the y-axis:
Decrease the input of the function by -1 to depict the exponential function around the y-axis.
