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Olegator [25]
3 years ago
7

The circle below is centered at the point (3,1) and has a radius length of 2.What is its equation

Mathematics
1 answer:
hammer [34]3 years ago
7 0

Answer:

C. (x-3)^2+(y-1)^2=2^2

Step-by-step explanation:

The standard equation of a circle, given the radius r units and center (h,k) is given by:

(x-h)^2+(y-k)^2=r^2

From the question, we have the center of the circle to be (3,1) and the radius is 2 units.

We substitute the center and radius of the circle into the equation to get:

(x-3)^2+(y-1)^2=2^2

The correct answer is C

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You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. find the probability that t
Andreyy89

there are 4 kings and 4 queens in a deck

 chance of getting a king is 1/52

 chance of getting a queen without the king being put back would be 1/51

1/52 x 1/51 = 1/2652 probability

6 0
3 years ago
In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of
goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when X = 671, \mu = 509, \sigma = 115. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{671 - 509}{115}

Z = 1.41

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when X = 24, \mu = 21.1, \sigma = 5.3

Z = \frac{X - \mu}{\sigma}

Z = \frac{24 - 21.1}{5.3}

Z = 0.55

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0
2 years ago
What kind of sequence is the pattern 1, 6, 7, 13, 20, ...?
AlexFokin [52]

Answer:

The given sequence 6, 7, 13, 20, ... is a recursive sequence

Step-by-step explanation:

As the given sequence is

6, 7, 13, 20, ...

  • It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.

As

d = 7-6=1,  d = 13-7=6

As d is not same. Hence, it cannot be an arithmetic sequence.

  • It also cannot be a geometrical sequence and exponential sequence.

It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.

As

r = 7-6=1,  r = 13-7=6

r = \frac{7}{6},  r = \frac{13}{7}

As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.

So, if we carefully observe, we can determine that:

  • The given sequence 6, 7, 13, 20, ... is a recursive sequence.

Please have a close look that each term is being created by adding the preceding two terms.

For example, the sequence is generated by starting from 1.

     {\displaystyle F_{1}=1

and

     {\displaystyle F_{n}=F_{n-1}+F_{n-2}}

for n > 1.

<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>

<em>Learn more about sequence from brainly.com/question/10986621</em>

<em>#learnwithBrainly</em>

6 0
3 years ago
Solve for f.<br><br> 8 = 2f + 2
tiny-mole [99]

Answer:

f = 3

Step-by-step explanation:

8 = 2f + 2

-2         -2

6 = 2f

/2    /2

3 = f

5 0
3 years ago
A system of linear equations is given by the graph. Okie what is the system shown?
SVETLANKA909090 [29]

Answer:

I think the answer is A.

Step-by-step explanation:

all of the other ones dont seem to line up with the graph.

6 0
3 years ago
Read 2 more answers
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