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3 years ago

10

What is the approximate area of the shaded sector in the circle below?

1 answer:

Nataly [62]3 years ago

8 0

Answer: I believe the answer is 51 inches squared

Step-by-step explanation:

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Patricia has $101.45 in her savings account . Her uncle has 10 ^ 2 much money in his savings account. How much does her uncle ha

pickupchik [31]

Answer:

Her uncle has $10145 in has account

Step-by-step explanation:

You just have to move the period 2 spaces to the right -->

6 0

3 years ago

A tennis tournament has 2n contestants. We want to pair them up for the first round of singles matches. Show that the number of

ddd [48]

There are

$\dbinom{2n}2 = \dfrac{(2n)!}{2! (2n-2)!}$

ways of pairing up any 2 members from the pool of $2n$ contestants. Note that

$(2n)! = 1\times2\times3\times4\times\cdots\times(2n-2)\times(2n-1)\times(2n) = (2n-2)! \times(2n-1) \times(2n)$

so that

$\dbinom{2n}2 = \dfrac{(2n)\times(2n-1)\times(2n-2)!}{2! (2n-2)!} = \boxed{n(2n-1)}$

4 0

2 years ago

each morning a gardener uses 24 1/2 gallons of water from a metal reservoir.each afternoon,she adds 15 1/4 gallons of water to t

Alika [10]

Every day, the volume increases by 24 1/2+15 1/4=39 3/4 gallons. So after 5 days, the volume increases by 39 3/4 * 5 = 795/4= 198.75 gallons

3 0

3 years ago

We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

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 interval $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

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

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

The minimum number of cities we need to contact is 96.

8 0

3 years ago

Thank you all for helping so far, mind if I ask again, haha

wariber [46]

Answer:

10 < 18 + 7

10 < 25

True yyes

cuz it is above 10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers