Answer: yes !!
Step-by-step explanation:
first we have to simplify
25:5 = 5:1
10:2 = 5:1
yes, they are
Answer:
12∠x∠16
Step-by-step explanation:
For the triangle to be acute,a²+b²+c²,
Where c is the largest side of the triangle.
Hence, we must say x²+(x+4)²≥20²,
or after simplifying, x²+4x-192≥0 or (x+16)(x-12)≥0
Since x must have positive values only, x≥12
Therefore, for the triangle to be acute,we must have 12≤x≤16.
Answer:
0.2755
Step-by-step explanation:
We intend to make use of the normal approximation to the binomial distribution.
First we'll check to see if that approximation is applicable.
For p=10% and sample size n = 500, we have ...
pn = 0.10(500) = 50
This value is greater than 5, so the approximation is valid.
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The mean of the distribution we'll use as a model is ...
µ = p·n = 0.10(500)
µ = 50
The standard deviation for our model is ...
σ = √((1-p)µ) = √(0.9·50) = √45
σ ≈ 6.708204
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A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).
The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.
Answer:
Yes, there is a transformation that maps shape I onto shape IV. Reflecting shape I across the x-axis maps it onto shape IV.
Step-by-step explanation:
edmentum.