Answer:
not similar; corresponding sides are not proportional
Step-by-step explanation:
If the triangles were similar, corresponding sides would be proportional. That is, you would have ...
AX/AB = AY/AC
Here, those ratios are ...
6/24 ≠ 10/35
so, the corresponding sides are not proportional, and the triangles are not similar.
35.5 wouldn’t be enough. She needs 2 1/4 of yards of material, first you would need to convert the fraction into a decimal and 1/4 is .25 which gives you 2.25 now you multiply 16 x 2.25 which gives you 36. That’s why 35.5 wouldn’t be enough.
The swimmers unit rate is 4/3 laps per minute
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
![\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DX%26P%28X%29%5C%5C1%26%5Cfrac%7B1%7D%7B3%7D%5C%5C2%26%5Cfrac%7B1%7D%7B3%7D%5C%5C4%26%5Cfrac%7B1%7D%7B3%7D%5Cend%7Barray%7D%5Cright%5D)
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
