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3 years ago

What is the value of b?

Mathematics

1 answer:

tresset_1 [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

= 25² + 28² - (2 × 25 × 28 × cos36.9°)

= 625 + 784 - 1400 cos36.9°

= 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = $\sqrt{1409-1400cos36.9}$ ≈ 17 ( nearest whole number )

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Answer:

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99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

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Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

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3 years ago

Amare runs 1/10 mile in 2/3 minutes. What is his speed in miles per minute

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Answer:

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2 years ago

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Answer:

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Step-by-step explanation:

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