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:
Step-by-step explanation:
a) According to the included image, the smaller section measures 16ft², and the larger section is 50 ft². The formula for the area of a square is side × side = side².
For the smaller section: Area = side²
16 = side²
side = √16 = 4 ft
For the larger section: Area = side²
50 = side²
side = √50
The overall length of the shed is the small area plus the large area = 4 + √50
The total length of the shed equates to 4 + √50
b) All square roots of integers unless they are perfect squares are irrational numbers, thus 4 + √50 is irrational. All such values fall within the set of real numbers, categorizing 4 + √50 as an irrational and real number.
Initially, we must determine the median from the provided dataset. To achieve this, we need to sort the values:
12, 15, 18, 20, 23, 23, 28
Thus, the median appears to be 20
To ensure the median remains unchanged, the eighth hour would need to have 20 visitors, allowing the revised dataset to be:
12, 15, 18, 20, 20, 23, 23, 28
I hope this clarifies things!
<span>3[x + 3(4x – 5)] = 15x – 24
3x + 12x - 15 = 15x - 24
15x - 15 = 15x - 24
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