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3 years ago

A triangular plot of land has dimension of 20km ×30km. What is the area of the land

1 answer:

3 0

So the formula for area of a triangle is A= 1/2 base x height. SO you do 20 x 30 you get 600. 600/ 2 = 300 so 300 km squared.

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(10v^3 + 71v^2 + 11v+23) / (v+ 7)

vlabodo [156]

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3 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago

Consider the series 4+8+16+32+... <br> What is the common ratio?

Amiraneli [1.4K]

The common ratio is 24 x 2 = 88 x 2 = 1616 x 2 =32
Can I get Brainliest?
Thanks

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3 years ago

Tom goes to a restaurant and the food bill is $22. If he wants to give the waiter a 20% tip. What will the total cost of the mea

jek_recluse [69]

Answer: $4.40

Step-by-step explanation:

Trust me did the assignment

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2 years ago

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A cylindrical barrel with a radius of 12 feet rests on its round side against a wall. A ladder leans against both the barrel and

frosja888 [35]

The answer is 24 cool

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3 years ago