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Dmitriy789 [7]
3 years ago
14

I have no clue how to do this!!!

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0
Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180      combine like terms on the left.
z + 137 = 180            subtract 137 from both sides
z =  180 - 137        
z = 43 degrees.

Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35 

sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32 

Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
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4 0
2 years ago
a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho
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7 0
3 years ago
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4 0
3 years ago
A researcher wishes to estimate the number of households with two cars. How large a sample is needed in order to be 99% confiden
solmaris [256]

Answer:

Sample size n = 1382

so correct option is D) 1382

Step-by-step explanation:

given data

confidence level = 99 %

margin of error = 3%

probability = 25 %

to find out

How large a sample size needed

solution

we know here P = 25 %

so 1 - P = 1 - 0.25

1 - P  = 0.75

and we know E margin of error is 0.03 so value of Z for 99%

α = 1 - 99%   = 1 - 0.99

α  = 0.01

and  \frac{\alpha}{2} = \frac{0.01}{2}

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so Z is here

Z_(\frac{\alpha}{2}) = 2.576

so

sample size will be

Sample size n =  (\frac{(Z_(\frac{\alpha}{2})}{E})^2 * P * (1-P)

put here value

Sample size n = (\frac{2.576}{0.03})^2 * 0.25 * 0.75

Sample size n = 1382

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3 0
3 years ago
At beacon hills middle school, 10% of children travel by bus. if this represents 60 cgildren how many children attend to the sch
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