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Eva8 [605]
3 years ago
6

Somebody please help​

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

Answer:

Yes, No, No, No

Step-by-step explanation:

To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25

(-5)² + 0² = 25, = RHS  [Yes]

1² + (√7)² = 8, ≠ RHS [No]

(√21)² + (-3)² = 30, ≠RHS [No]

0² + 7² = 49, ≠RHS [No]

You might be interested in
Suppose you can somehow choose two people at random who took the SAT in 2014. A reminder that scores were Normally distributed w
Sindrei [870]

Answer:

22.29% probability that both of them scored above a 1520

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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.

In this problem, we have that:

\mu = 1497, \sigma = 322

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.

So

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

Z = \frac{1520 - 1497}{322}

Z = 0.07

Z = 0.07 has a pvalue of 0.5279

1 - 0.5279 = 0.4721

Each students has a 0.4721 probability of scoring above 1520.

What is the probability that both of them scored above a 1520?

Each students has a 0.4721 probability of scoring above 1520. So

P = 0.4721*0.4721 = 0.2229

22.29% probability that both of them scored above a 1520

8 0
2 years ago
On a single roll of a pair of dice, what are the odds against rolling a sum of 12?
o-na [289]

Answer:

\frac{1}{35}

Step-by-step explanation:

On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:

(1,1)         (1,2)          (1,3)  (1,4)  (1,5)  (1,6)

(2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

(3,1)  (3,2)  (3,3)  (3,4)  (3,5)  (3,6)

(4,1)  (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

(5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

(6,1)  (6,2)  (6,3)  (6,4)  (6,5)  (6,6)

The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.

Total outcomes = 36

Odd against favor = \frac{non \ favorable\ outcomes}{favorable \ outcomes}

Number of outcomes of getting sum 12 is 1

Number of outcomes of not getting sum 12 is 36-1= 35

odds against rolling a sum of 12= \frac{1}{35}

3 0
3 years ago
Find the distance between A and B.
Papessa [141]

Answer:

The result is d = 2\sqrt{5} units.

Step-by-step explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2} Where the first coordinate is (x_{1},y_{1}) and  the second coordinate is (x_{2}, y_{2}).

-Use the coordinates A and B for the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

-Then, you solve the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

d = \sqrt{(4)^2 + (2)^2}

d = \sqrt{16 + 4}

d = \sqrt{20}

d = 2\sqrt{5}

So, therefore the distance is 2\sqrt{5} units.

7 0
3 years ago
Which of these is a basic characteristic of a civilization?
Ilya [14]

Answer:

Strong Military

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
What is the answer of x2-25
snow_tiger [21]
  • Answer:

<em>(x - 5)(x + 5)</em>

  • Step-by-step explanation:

<u><em>   use formula </em></u>

<em>a² - b² = (a - b)(a + b)</em>

<em />

<em>x² - 25 = x² - 5² = (x - 5)(x + 5)</em>

6 0
3 years ago
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