A circle with a circumference of 468 cm is centered at the vertex of an angle, and the angle's rays subtend an arc that is 332.8 cm long. What is the measure of this angle in degrees? degrees

The answer is C. 5. To determine the minimum number of envelopes that one of the 10 mailboxes must contain when 40 envelopes are placed in them, we can use the Pigeonhole Principle.

According to this principle, if n items are placed into m containers, and n > m, then at least one container must contain more than one item. In this case, if we have 40 envelopes and 10 mailboxes, then the average number of envelopes in each mailbox would be 4. However, if each mailbox contained only 3 envelopes, then we would have a total of 30 envelopes, leaving 10 more envelopes to be placed in the remaining mailboxes. Since we only have 9 mailboxes left, by the Pigeonhole Principle, one of them must contain at least 5 envelopes (4 envelopes in each of the remaining 9 mailboxes = 36 envelopes, leaving 4 more envelopes to be placed in one of the remaining mailboxes).

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Answer: 0.208 pounds

Step-by-step explanation:

From the question, we are informed that Shirley bought 20.8 pounds of bird seed at a store and wants to fill her feeder 100 times with an equal amount.

Based on the above, the amount of seeds that she should put in the feeder each time will be the amount of seeds bought divided by the number of feeder to fill. This will be:

= 20.8 / 100

= 0.208 pounds

To find the unpaid balance after 13 months, we need to calculate how much of the loan principal has been paid off by the monthly payments. We can use an amortization table to help with this calculation.

Month Payment Interest Principal Balance

0 - - - 85,000.00

1 498.74 410.83 87.91 84,912.09

2 498.74 409.63 89.11 84,823.98

3 498.74 408.42 90.32 84,733.67

...

12 498.74 398.29 100.45 83,810.25

13 498.74 397.06 101.68 83,708.57

So after 13 months, the unpaid balance on the loan is $83,708.57.

To calculate how much interest the executive paid during this time period, we can subtract the amount of principal paid from the total amount of payments made and then round to two decimal places:

Total payments made in 13 months = $498.74/month x 13 months = $6,482.62

Interest paid = Total payments made - Principal paid = $6,482.62 - $1,307.50 = $5,175.12

Therefore, the executive paid $5,175.12 in interest during the first 13 months of the loan.

Total price = $266.63 + $317.29+62.78=646.7  

Discount = 15%  

Discount amount = (15/100) x 646.7  

=$97.005  

Price after discount = $646.7 - $97.005  

=$549.695  

Sales tax = 6%  

Sales tax amount =(6/100) x $549.695  

=$32.9817

Total cost = Price after discount + sales tax amount

 =$549.695 + $32.9817

 =$582.6767  

=$$582.68

Answer:

she needs to buy 4 boxes since she can't buy a part of a box. assuming total boxes means completely filled boxes, then she fills 3

Step-by-step explanation:

An 86% confidence interval for the difference in age to leave mother is -3.10091

What is confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, Gorilla Baby sample

x means x bar here so, \(x_{1}\) = 3.21

\(s_{1}\) = 0.81

\(n_{1}\) = 64

Human Baby sample

x means x bar here so, \(x_{2}\) = 19.1

\(s_{2}\) = 2.16

\(n_{2}\) = 200

Confidence interval needs t score

t score = 1.18

86% confidence interval = \(x_{1}\) - \(x_{2}\) ± tc \(\sqrt{s^{2} {1} / n_{2} + s^{2} {2} / n_{2}\)

= 3.21 - 19.1 ± 1.18 √0.81²/64 +2.16²/200

= 3.21 - 19.1 ± 1.18 √0.033

= -3.10091

An 86% confidence interval for the difference in age to leave mother is -3.10091

The detail question is here,

A study based on the Association primate Ebmarah looked at the average age a baby gorilla leaves it’s mother versus the average age the human baby leaves it’s mother . Naturally they are different , so we don’t want a hypothesis test. Instead, find an  86% confidence interval  for the difference in age to leave mother.

Gorilla:

Sampled 64 babies

Stayed with mother on average 3.21 years

Standard deviation:  0.81

Human:

Sampled  200 babies

Stayed with mother on average 19.1 years

Standard deviation:  2.16

Matched  pairs  standard deviation :0.23

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The solutions to the system of equations are x = 2 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 3

g(x) = 1/(x - 3)

The solution to the system of equations implies that

f(x) = g(x)

So, we have

x - 3 = 1/(x - 3)

Cross multiply the equation

This gives

(x - 3)² = 1

So, we have

x - 3 = ±1

Add 3 to both sides

x = 3 ± 1

So, we have

x = 2 and 4

Hence, the solutions to the system of equations are x = 2 and 4

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Answer:

a don't know if right but sorry if wrong

The United States senate passes a bill that increases

the federal income tax rate, which then pays for the service would most likely provide the revenue to pay for this new public service.

What is revenue?

Revenue means money received in the ordinary course of business and is calculated by multiplying the average selling price by the number of items sold. This is the total amount of money from which other costs and expenses are subtracted to calculate net income.

The definition of revenue says it is the total amount of money received from a business, such as sales. This is also called sales in the income statement. This is a top-line figure because it appears first on the company's income statement. There are two types of income i.e. operating income and non-operating income.

Here, the most likely way to generate revenue to pay for a new national water pollution abatement plan is for the United States Senate to pass a bill that raises the federal income tax rate that would then pay for the service. This is because it directly increases the funds available to the federal government, which can then be allocated to a new public service. Other options, such as homeowners paying higher property taxes or states raising sales taxes, may not generate enough revenue or may not be directly related to the new public service. Furthermore, selling clean water to other countries may not be sustainable or ethical to fund a public service.

So, The United States senate passes a bill that increases the federal income tax rate, which then pays for the service would most likely provide the revenue to pay for this new public service.

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Answer:

11

Step-by-step explanation:

Hello,

Given the original number n.

\(\large \boxed{n}\)

Multiply the number by 9.

\(\large \boxed{9n}\)

Add 99.

\(\large \boxed{9n+99}\)

Divide this sum by 9.

\(\large \boxed{\dfrac{9n+99}{9}=n+11}\)

Subtract the original number, n, from the quotient.

\(\large \boxed{n+11-n=11}\)

Thank you.

well the slope of line would be -1/5

equation of line = (y-2) =-1/5(x+5)

positive

Step-by-step explanation:

b edge2020

Answer:

cdab

Step-by-step explanation:

the answer is c, d, a, b

focus on the second numbers

Answer:16x16

Step-by-step explanation:

Answer:

But the 2lbs.

Step-by-step explanation:

Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.

You're welcome.

Answer:

Step-by-step explanation:Is there more to the question

Answer:

5(3x)

Step-by-step explanation:

I think i'm not totally sure.

Answer: 6x² + 36x + 22

Step-by-step explanation:2 faces  (x + 3) by (x + 7), area of both these faces 2(x+3)*(x + 7)

2 faces  (x + 3) by (x - 1), area of both these faces 2(x+3)*(x - 1)

2 faces  (x -1 ) by (x + 7), area of both these faces 2(x-1)*(x + 7)

Whole surface area is

2(x+3)*(x + 7) + 2(x+3)*(x - 1) + 2(x-1)*(x + 7) =

=2(x² + 3x +7x +21) + 2(x² +3x -x - 3) + 2(x² - x +7x -7)=

=2x² + 20x +42 + 2x² + 4x - 6 + 2x² + 12x -14 =

= 6x² + 36x + 22

Answer:

6x^2+36x+22

Step-by-step explanation:

substitute given expressions in the formula

Answer:

11 students brought both a pen and a pencil

Step-by-step explanation:

59 students brought a pen or pencil or both

48 + 22 = 70

70-59 = 11

11 students brought both a pen and a pencil

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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Answer:

10%

Step-by-step explanation:

if he has 60 boxes then it would be 60/600

simplify that to 6/60 which further simplifies to 1/10 which is 10%

Answer:

600-100%

60-10%

Odp-Wynosi 10%                                                                                             tep-by-step explanationu  Pozdrawami

1. The probability that the point is on the triangle is 2/15

2. The probability that the point is in the circle is 1/15

3. The probability that the point is in the circle or triangle is 3/15

4. The probability that the point is not triangle is 13/15

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it is equivalent to 100% in percentage.

Probability = sample space / Total outcome

sample space is the area of the shapes

Area of triangle = 1/2 bh

= 1/2 × 3 × 4

= 3 × 2 = 6cm²

area of circle = πr²

= 3.14 × 1² = 3.14

= 3( to whole number)

Total outcome is the area of rectangle

= l× w = 9 × 5 = 45 cm²

1. The probability that the point is on the triangle is 6/45 = 2/15

2. The probability that the point is in the circle is

= 3/45 = 1/15

3. The probability that the point is in the circle or triangle = 1/15 +2/15 = 3/15 = 1/5

4. The probability that the point is not triangle is

= 1-2/15 = 13/15

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Solution :

The significant figure of a number are defined as the positional notation of that number which are most reliable and are absolutely necessary to represent the quantity of something.

In the context, we have to express the given numbers into three significant figures in the form of scientific notation or in the exponential form :

(i). 5590    -----    \($5.59 \times 10^3$\)

(ii).  0.000498   -----    \($4.98 \times 10^{-4}$\)

(iii) 135000  -----   \($1.35 \times 10^5$\)

(iv) 0.000438   -----  \($4.38 \times 10^{-4}$\)

Answer:

The bottom half of a fraction.

Answer:

2 brown

Step-by-step explanation:

The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:

Total number of socks = 12 white socks + 18 black socks + 2 brown socks

Total number of socks = 32 socks

A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.

The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.

The least number is "the smallest or lowest number or degree".

According to the question,

A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.

In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.

Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.

Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.  

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Answer:

The graph will be open circle on 6 and it goes on right side of 6.

Step-by-step explanation:

We need to find the graph of inequality x>6

In the given inequality the value of x is greater than 6.

it means that all the values greater than 6 can be considered as values of x but 6 is not considered as value of 6.

So, the graph will be open circle on 6 and it goes on right side of 6.

I am attaching the graph of the  inequality x>6.

I t h i n k it's c ........... correct me if I'm wrong

Answer:

3/2

Step-by-step explanation:

make into a improper fraction