Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Answer:
The z-score for the 34-week gestation period baby is 0.61
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
We are told in the question that:
Babies born after a gestation period of 32-35 weeks have a mean weight of 2600 grams and a standard deviation of 660 grams. Also, we are supposing a 34-week gestation period baby weighs 3000grams
The z-score for the 34-week gestation period baby is calculated as:
z = (x-μ)/σ
x = 3000, μ = 2600 σ = 660
z = 3000 - 2600/660
= 400/660
=0.6060606061
Approximately, ≈ 0.61
Answer:
900 million.
Step-by-step explanation:
It's estimated that there are 900 million dogs in the world, as of 2018.
We know that 5 fits entirely into our number three times, and then there's a remainder of 4.
If 5 fits three times exactly, it means that our number is at least 15 (5x3).
From here, we have a remainder of 4, which leads to 15+4=19
