The greatest number of different cards based on the permutations is 144.
<h3>How to compute the value?</h3>
From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.
Therefore, the greatest number of different cards will be:
= 4! × 3!
= 24 × 6
= 144
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Answer:
230.9 ft
Step-by-step explanation:
The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2
In ∆ABC, BC = AB/√3 ≈ 115.47 ft
In ∆ABD, BD = AB√3 ≈ 346.41 ft
Then the length CD is ...
346.41 ft -115.47 ft = 230.94 ft
The distance CD is about 230.9 ft.
Answer:
B. Yuri divided by n instead of n-1
Step-by-step explanation:
It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,
σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n
Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.
Answer:
D. 118°
Step-by-step explanation:
x = 118° { being corresponding angles }
Step-by-step explanation:
1. 1/4(x + 12)=2 - first isolate X'
- 12 -12
2. 1/4(x) = -10 - 1/4 since its a fraction, you'll have to subtract not divide
-1/4 - 1/4
3. x = -10.25
Andre did the first step correctly, but on the second step he just divided 1.4 by -10, instead of subtract 1/4 from both sides.