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Tju [1.3M]
3 years ago
6

What is the image of the point (2, -3) after a rotation of 180° counterclockwise

Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

(-2, 3)

Step-by-step explanation:

  • <em>When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative</em>

<u>Point (2, -3) becomes:</u>

  • Point (-2, 3)
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Suppose that salaries for recent graduates of one university have a mean of $25,700 with a standard deviation of $1350. Using Ch
sergeinik [125]

Answer:

75% of the data will reside in the range 23000 to 28400.

Step-by-step explanation :

To find the range of values :

We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,

1 - \frac{1}{k^2} =\frac{75}{100}

Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.

Range is given by : mean +/- (z score) × (value of a standard deviation)  

⇒ Range : 25700 +/- 2 × 1350

⇒ Range : (25700 - 2700) to (25700 + 2700)

Hence, 75% of the data will reside in the range 23000 to 28400.

3 0
3 years ago
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality
Dmitriy789 [7]

Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack

number of packs of regular cards =r and the number of packs of foll cards = f

Cost of Regular card = 3.50

Cost of 'r' packs of regular card = 3.50r

Cost of Foil card = 4.50

Cost of 'f' packs of Foil card = 4.50f

Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20

The inequality becomes

3.50r + 4.50f <= 20

3 0
3 years ago
What percent of the first 20 natural numbers are prime numbers?
Brilliant_brown [7]
The primes are 2, 3, 5, 7, 11, 13, 17, 19. There are 8 of them, so they make up 40% of the numbers 1–20.
3 0
3 years ago
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Write the point slope form of an equation of the line through the points (-7,7) and (4,1)
Andre45 [30]
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  • (4,1)

Slope:-

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Equation in point slope form

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Option A

8 0
2 years ago
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Please help meeee (1/2) to the 4th power
Karolina [17]

Answer:

\frac{1}{16}

Step-by-step explanation:

\frac{1}{2} *\frac{1}{2} *\frac{1}{2} *\frac{1}{2} =\frac{1}{16}

\frac{1}{2}*\frac{1}{2} =\frac{1}{4}

\frac{1}{4} *\frac{1}{2} =\frac{1}{8}

\frac{1}{8}*\frac{1}{2}=\frac{1}{16}

4 0
3 years ago
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