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2 years ago

Which of the following circles have their centers in the second quadrant A.(x+3)^2+(y-2)^2=8

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

3 0

The circles that have their centers in the second quadrant are; Options B and D

<h3>How to identify circle equations?</h3>

The general form of equation of a circle is;

( x - h )² + ( y - k )² = r²

where (h, k) is the center and r is the radius.

Thus;

A. (x - 5)² + (y - 6)² = 25

(h, k) = 5,6 This is Quadrant 1

B. (x + 1)² + (y - 7)² = 16

(h, k) = -1,7 This is Quadrant 2

C. (x - 4)² + (y + 3)²= 32

(h, k) = 4,-3 This is Quadrant 4

D. (x + 2)² + (y - 5)² = 9

(h, k) = -2,5

This is Quadrant 2

The missing circle equations are;

A. (x - 5)² + (y - 6)² = 25

B. (x + 1)² + (y - 7)² = 16

C. (x - 4)² + (y + 3)² = 32

D. (x + 2)² + (y - 5)² = 9

Read more about Circle Equations at; brainly.com/question/1559324

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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

The following graph shows a proportional relationship.

Nina [5.8K]

Answer:

1.5

Step-by-step explanation:

$k=\frac{y}{x}\\\\k=\frac{6}{4}\\\\k=1.5$

8 0

2 years ago

What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. 117.8 cubic units 141.3 cubic u

Tom [10]

Answer:

The answer is 235.5 :)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Sue chooses a dress to wear when she goes out with her parents, but she can wear it only if her parents approve. The probability

Sophie [7]

12%

40% = 0.4
30 = 0.3

0.3 x 0.4 = 0.12

0.12 = 12%

4 0

2 years ago

The losing candidate in a mayoral election received 10,200 votes, which represented 30% of all votes cast in the election.

ElenaW [278]

well, in the election, the losing candidate received 10200 votes, and we know that's 30% of the whole votes cast, le's say the whole amount is "x" or namely 100%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 10200&30\\ x&100 \end{array}\implies \cfrac{10200}{x}=\cfrac{30}{100}\implies \cfrac{10200}{x}=\cfrac{3}{10} \\\\\\ 102000=3x\implies \cfrac{102000}{3}=x\implies 34000=x$

Dorian's 3060 is really 30% of 10200, however, the losing candidate received 30% of the total votes cast, and that is 10200, so Dorian mistakenly is using 30% of the 30% received by the losing candidate as point of reference for her total.

5 0

3 years ago