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emmasim [6.3K]
3 years ago
10

quinn is playing video games at a virtual reality game room . The game room charges 20 dollars for every 30 minutes of play time

. How many does quinn need to pay for 150 minutes of play time ?​
Mathematics
1 answer:
USPshnik [31]3 years ago
5 0

Answer:$100

Step-by-step explanation:

He need five periods of play time because 150 divided my 30 is 5. Then, you multiply 5 times the $20 because it is $20 for every 20 minutes.

Therefore, the answer is 20.

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O is the center of both circles containing arcs AB and CD
victus00 [196]

Answer:

Step-by-step explanation:

You need to solve the area sector of the bigger circle. Since we now the length of sector is 270, we can set up an equation.  

Length of sector DC = 2\pir

270 = 2\pi(8+OA)                     *(8+OA is the raidus of the bigger circle/sector)*

270/2\pi = 8 + OA  (division)

135/\pi -8 = OA

135/\pi -8 = OB (because OA and OB are the raidus of the same circle, so they are congruent)

I hope this helps you! Please correct me if you see a miscalculation <3<3

5 0
3 years ago
The Center for Medicare and Medical Services reported that there were 295,000 appeals for hospitalization and other Part A Medic
Ymorist [56]

Answer:

(a) 0.00605

(b) 0.0403

(c) 0.9536

(d) 0.98809

Step-by-step explanation:

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012) and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

P(X=r)= \binom{n}{r}p^{r}(1-p)^{n-r} ; x = 0,1,2,3,....

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                   appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10,p=0.40)

(a) Probability that none of the appeals will be successful = P(X = 0)

     P(X = 0) = \binom{10}{0}0.40^{0}(1-0.40)^{10-0}

                   = 1*0.6^{10} = 0.00605

(b) Probability that exactly one of the appeals will be successful = P(X = 1)

     P(X = 1) = \binom{10}{1}0.40^{1}(1-0.40)^{10-1}

                  = 10*0.4^{1} *0.6^{10-1} = 0.0403

(c) Probability that at least two of the appeals will be successful = P(X>=2)

    P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                     = 1 - \binom{10}{0}0.40^{0}(1-0.40)^{10-0} - \binom{10}{1}0.40^{1}(1-0.40)^{10-1}

                     = 1 - 0.00605 - 0.0403 = 0.9536

(d) Probability that more than half of the appeals will be successful =             P(X > 0.5)

  For this probability we will convert our distribution into normal such that;

   X ~ N(\mu = n*p=4,\sigma^{2}= n*p*q = 2.4)

  and standard normal z has distribution as;

      Z = \frac{X-\mu}{\sigma} ~ N(0,1)

  P(X > 0.5) = P( \frac{X-\mu}{\sigma} > \frac{0.5-4}{\sqrt{2.4} } ) = P(Z > -2.26) = P(Z < 2.26) = 0.98809

3 0
3 years ago
Alejandra was working on an animal report for school. She worked on it for 4 hours in a week. How many hours did she work on the
Mandarinka [93]

Answer: 0.57 hours each day or 34.28 minutes each day.

Step-by-step explanation:

1. You know that:

-Alejandra worked on the animal report for school for 4 hours in a week.

- A week has seven days.

2. Therefore, to calculate the number of hours she worked on the project each day (which you can call x), you can divide the number of hours  worked on in a week by 7 days.

3. Therefore, you obtain the following result:

x=\frac{4hours}{7day}\\x=0.57\ hours/day

Multiply the result by 60 to obtain the time in minutes, then:

x=34.28\ minutes

3 0
3 years ago
Find the midpoint between -7+4i and 3-2i
lana [24]
(-2,3) i believe this is correct
6 0
3 years ago
In 2010 the estimated population was 2.7 times 10 to the 6 people. That population of Illinois that same year was about 4.76 tim
Keith_Richards [23]

that would be just multipacation


8 0
3 years ago
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