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3 years ago

Using the formula C=2TTr, find the circumference of a circle with a diameter of 28 in. round your answer to the nearest inch

2 answers:

6 0

Radius = diameter /2

<span>so radius = 28/2 = 14 </span>

<span>Circumference = 2 x pi x 14 = 28 pi </span>

<span>or from calculator = 87.96 inches ....correct to 2 decimal places</span>

slava [35]3 years ago

3 0

radius = diameter/2

so 28/2=14

using 3.14 for PI

2*3.14*14 = 87.92 = 88 inches

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$4750 invested at 10% p.a compounded semiannually for 10 years, calculate the interest

alexgriva [62]

<h3>Answer: $7,853.16</h3>

Work Shown:

A = P*(1+r/n)^(n*t)

A = 4750*(1+0.10/2)^(2*10)

A = 12,603.164099436

A = 12,603.16

That represents the account balance after 10 years. To find the interest only, subtract off the deposit amount.

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g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago

2x +(3y+8z)=(2x+3y)+8z an example of which property?

lyudmila [28]

C. Associative Property

8 0

3 years ago

A performer expects to sell 5,000 tickets for an upcoming concert. They want to make a total of $311, 000 in sales from these ti

Annette [7]

The price of one ticket is $ 62.2

<h3><u>Solution:</u></h3>

Given that a performer expects to sell 5000 tickets for an upcoming event

They want to make a total of $ 311, 000 in sales from these tickets

<em><u>To find: price of one ticket</u></em>

Let us assume that all tickets have the same price

Let "a" be the price of one ticket

So the total sales price of $ 311, 000 is obtained from product of 5000 tickets and price of one ticket

$\text {total sales price }=5000 \times \text { price of one ticket }$

$311000 = 5000 \times a\\\\a = \frac{311000}{5000}\\\\a = 62.2$

Thus the price of one ticket is $ 62.2

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3 years ago