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2 years ago

Which statements are true? Check all that apply.

Mathematics

2 answers:

Sergio [31]2 years ago

5 0

Answer:

1 The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction

3 The area of the sector is 250 units².

5 The area of the sector is more than half of the circle’s area

igor_vitrenko [27]2 years ago

3 0

Answer:

yes -----The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction.

no------The ratio of the measure of the central angle to the measure of the entire circle is Five-halves.

yes------The area of the sector is 250 units².

no--------The area of the sector is 100 units².

yes-------The area of the sector is more than half of the circle’s area.

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The price that a company charged for a basketball hoop is given by the equation 50 - 5x^2 where x is the number of hoops that ar

DiKsa [7]

Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.

Explanation:

Let the number of basketball hoops did the company previously produce to make the same profit be x.

Total Revenue = Price * Quantity

The total revenue in million dollars is,

$\text{Total Revenue}=(50-5x^2)x$

$\text{Total Revenue}=50x-5x^3$

The total cost in million dollars is,

Total Cost = One unit cost * Quantity

$\text{Total Cost}=30x$

Profit = Total Revenue - Total Cost

$\text{Profit}=50x-5x^3-30x$

The profit is 15 million.

$15=20x-5x^3$

$5x^3-20x+15=0\\x^2-4x+3=0\\(x-1)(x^2+x-3)=0$

The value of x is 1 and $\frac{-1\pm \sqrt{13}}{2}$ .

The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.

4 0

2 years ago

Read 2 more answers

The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic

Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

$\frac{ n!}{ n1!*n2!*...*nk! }$

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

n by 40 participants
k by 4 groups
n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

$\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}$

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

$nPk = \frac{ n!}{(n-k)!}$

So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of: