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Gala2k [10]
3 years ago
13

WILL MARK BRAINLEST PLZZ HELPPP!!!!!!!!

Mathematics
1 answer:
Juliette [100K]3 years ago
6 0

Answer:

b =  18.56

c =  12.75

A = 40°

Step-by-step explanation:

Law of sines: a/sinA = b/sinB= c/sinC

12 / sin (180°-97°-43°) = b/sin97° = c/sin43°

12/sin40° = 12/0.64 = 18.75

b = 18.75 x sin97° = 18.75 x 0.99 = 18.56

c = 18.75 x sin 43° = 18.75 x 0.68 = 12.75

check: 12/sin40° = 12/0.64 = 18.75

b: 18.56 sin97°=0.99      18.56/0.99 = 18.747 ≈ 18.75

c: 12.75   sin43° = 0.68   12.75/0.68 = 18.75

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3 years ago
9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
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Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

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n = 50

we need to find the 98% confidence interval.

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(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

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Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

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8 0
3 years ago
What is 9 1/2 - 5 7/12 =​
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Answer:

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Step-by-step explanation:

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if 22000 pots with 15 seeds each are used in a nursery, how many total seeds, in scientific notation?
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Write the total number of seeds in scientific notation

Given:

Number of pots = 22,000

Number of seeds = 15

<em>Total number of seeds = Number of pots × Number of seeds</em>

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Scientific notation is written in multiples of 10

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Therefore,

the total number of seeds in

scientific notation is 3.30000 × 10^5

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