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Pavlova-9 [17]
3 years ago
8

The radius of circle O is r. A circle with the same radius drawn around P intersects circle O at point R. What is the measure of

angle ROP?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
The correct answer is 60 degrees.

To do this problem, you can use a compass and protractor. First, draw a circle. Then, label point P anywhere on the circle. Without changing the compass, draw another circle with center P.

If you can the angle ROP and measure it, it will be 60 degrees.
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In ΔXYZ, ∠Y=90° and ∠X=24°. ∠ZWY=81° and XW=7.1. Find the length of WY to the nearest 10th.
Brums [2.3K]

Answer:

0.5

Step-by-step explanation:

delta math

4 0
2 years ago
Suppose that 15% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in t
hram777 [196]

Answer:

a.\mu=15

b.\mu=7.8586 \ and  \ \mu=22.1414

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

P(X=k)=C_k^n.p^k.(1-p)^{n-k}

Let n be the number of trials,n=100

and p be the probability of success,p=15\%

The mean of a binomial distribution is the probability x sample size.

\mu=np=100\times0.15=15

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as:\sigma=\sqrt npq\\q=1-p

Therefore, \sigma=\sqrt(100\times0.015\times0.85)=3.5707

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c.  x=45 is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

4 0
3 years ago
Declan has n baseball cards. Sam has 4 times as many baseball cards as Declan. Amaya has 7 fewer baseball cards than Sam. Which
marishachu [46]
Answer: 4n -7

Sam has 4 times than Declan so it would 4n. Amaya has fewer so then you would add the -7 and the equation you get is 4n - 7.
4 0
3 years ago
A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?
enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

2.09 gallons ⇒ 1 minute

Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon    ⇒  x

Use cross multiplication to find the value of x.

2.09 x  =  327 × 1

2.09x   = 327

x   = 327 ÷ 2.09

x   = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

156.45 ÷ 60 = 2.60 hours

Let me know if you have any other questions :-)

7 0
2 years ago
Read 2 more answers
HELP NOOOOOOOOOOOOOOOOOOOOOOOOOOOW!
boyakko [2]

Answer:

b

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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