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Nookie1986 [14]
3 years ago
6

What is the area of the parallelogram? 48 sqrt3 cm^2 48 cm^2 24 sqrt3 cm^2 24 cm^2

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0
The area of a parallelogram is base times height. 

We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse

sin(60°) = opp/hyp = x/6
√3/2 = x/6     Multiply both sides by 6
3√3 = x
x = 3√3

The height is 3 √3

Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²

Answer is C) 24 √3 cm²

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Assume that a researcher randomly selects 14 newborn babies and counts the number of girlsâ selected, x. the probabilities corre
katrin2010 [14]
Probability is the mathematics of chance. In other words, it is the fraction or percentage of a certain event successfully happening. For this problem, you want to determine the probability of selecting 9, 10, 11, 12, 13 or 14 girls. The solution is as follows:

P = nCr p^r q^n-r
where 
n is number of total events (n = 14)
r is the number of events that could happen (9, 10, 11, 12 ,13 and 14)
p is the probability of an event being a girl (p = 50% or 0.5)
q is the probability of either an event being a boy (q = 1-p = 0.5)
nCr is a combination formula which is n!/(r!(n-r)!)

P = [14C9* (.5)^9 * (0.5)^5]+ [14C10* (.5)^10 * (0.5)^4]+[14C11* (.5)^11 * (0.5)^3]+[14C12* (.5)^12 * (0.5)^2]+[14C13* (.5)^13 * (0.5)^1]+[14C14* (.5)^14 * (0.5)^0]

P = 0.211 or 21.1%
3 0
4 years ago
Answers asap; greatly appreciated
vagabundo [1.1K]
I believe the answer is D
6 0
4 years ago
Select the answer choice that is equivalent to the expression given below.
pochemuha

Answer:

B. 23x-10

Step-by-step explanation:

3 0
3 years ago
The cost of a video game can be modeled by the question C=5x-2. The number of games sold can be modeled by the equation N=8x+5.
insens350 [35]
5x - 2 = 8x + 5.
-2 = -5x + 8x + 5
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4 0
3 years ago
Please help I’m stuck!!
jolli1 [7]

Answer:

130 milliliters.

Step-by-step explanation:

a drug has a ratio of 115mg:5ml. This is equivalent to 23mg:1ml. 3g=3000mg, so we divide 3000 by 23 to get 130.434783. That is how many milliliters are needed. We round it to get 130 mL.

3 0
3 years ago
Read 2 more answers
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