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2 years ago

Point GG is located at (1,-2)(1,−2) on the coordinate plane. Point GG is reflected over the yy-axis to create point G'G

Mathematics

1 answer:

yan [13]2 years ago

4 0

Step-by-step explanation:

starting at (1,-2) the point will move to the left 2 to be reflected over the y-axis and will then be at (-1,-2). then reflecting over the x-axis will move it up 4 and end up at (-1,2).

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Find angle measures and arc measures

Vlad1618 [11]

Answer:

Step-by-step explanation:

a. We know that KH is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.

-Therefore, we have that:

$m\angle a+ \angle GaH=180\textdegree\\\\\\m\angle a=180-35\\\\=145\textdegree$

Hence, the angle a is equal to 180°

b.We know that GJ is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.

-Therefore, we have that:

$m\angle b+\angle GaK=180\textdegree\\\\m\angle b=180\textdegree -145\textdegree\\\\\\\\=35\textdegree$

Hence, the angle b is equal to 35°

3 0

3 years ago

If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the fir

madam [21]

There are 13 spades in a standard deck of cards, so if the first one is a spade, there are 12 spades left.

So the chances of getting another one would be 12/52 because there are 52 cards in a standard deck of cards.

Reduced, your answer is 3/13

5 0

4 years ago

Read 2 more answers

3. Which numbers have a digit in the ones

professor190 [17]

6,044, 8,066, 9,777

hope this helped

4 0

3 years ago

Read 2 more answers

Given: sin = 4/5 and cos x = -5/13 ; evaluate the following expression. Cos 2x

Nitella [24]

For every possible angle $x$ , the fundamental law of trigonometric states that

$\sin^2(x)+\cos^2(x) = 1$

In your case, the inputs you provided would lead to

$\dfrac{16}{25}+\dfrac{25}{169} = \dfrac{3329}{4225} \approx 0.8 \neq 1$

So, it is not possible that, for a certain angle x, we have

$\sin(x) = \dfrac{4}{5},\quad \cos(x) = -\dfrac{5}{13}$

5 0

3 years ago

1. Find the quartiles for the tire pressures of car tires at an auto clinic. Tire pressure is measured in psi

marusya05 [52]

The quartiles and outliers for the data provided are as follows:

1. Quartiles for the tire pressures of car tires at an auto clinic:

Q2 = 28 psi
Q4 = 36 psi
Q1 = 21.5 psi
Q3 = 34 psi

2. The outlier(s) for the tires prices is $450

3. The outlier(s) for the tires prices is $650

4. The outlier(s) for the tires prices is $540

5. Quartiles for the tire pressures of car tires at an auto clinic are:

Q2 = 27 psi
Q4 = 35 psi
Q1 = 23.5 psi
Q3 = 33 psi

<h3>Quartiles</h3>

Quartiles are the values that divide a list of numbers into four parts or quarters after the numbers are arranged in ascending order.

They describe the dispersionof a set of data values.

Q1 is the first quartile or lower quartile. 25% of the numbers in the data set are at or below Q1.
Q2 is the second quartile. 50% of the numbers are below Q2, and
Q3 is the third quartile, or upper quartile. 75% of the numbers are at or below Q3.
Q4 is the maximum value in the data set. 100% of the numbers are at or below Q4.

<h3>Outliers</h3>

Outliers are data points that differs significantly from other observations.

There are two outliers: lower boundary outliers and upper boundary outliers.

Formula for lower boundary outliers is:

Q1 − 1.5(IQR)

Formula for upper boundary outliers is:

Q3 + 1.5(IQR)

where IQR is interquartile range

IQR = Q3 - Q1

<h3>1. Quartiles for the tire pressures of car tires at an auto clinic: (20, 27,19, 23, 29, 28, 34, 34, 36)</h3>

Arranging in increasing order:

19, 20, 23, 27, 28, 29, 34, 34, 36.

Q2 = 28

Q4 = 36

Q1 = (20 + 23) / 2

Q1 = 21.5

Q3 = (34 + 34) /2

Q3 = 34

<h3>2. Outlier(s) for these tires prices: $58, $95, $78, $125, $87, $158, $152, $182, $195, $450</h3>

Arranging in increasing order:

58, 78, 87, 95, 125, 152, 158, 182, 195, 450

Q1 = (87 + 78)/2

Q1 = 62.5

Q3 = 182 + 195/2

Q3 = 188.5

IQR = 188.5 - 62.5

IQR = 126

Lower boundary outlier(s) = 62.5 - 1.5(126)

Lower boundary outliers = -126.5

Thus there are no lower outliers.

Upper boundary outliers = 188.5 + 1.5(126)

Upper boundary outliers = 377.5

Therefore, 450 is an outlier.

<h3>3. The outlier(s) for these tires prices: $78, $195, $98, $145, $87, $138, $159, $172, $155, $210, $240, $650</h3>

Arranging in increasing order:

78, 87, 98, 138, 145, 155, 159, 172, 195, 210, 240, 650

Q1 = 98

Q3 = 210

IQR = 210 - 98

IQR = 112

Lower boundary outlier(s) = 98 - 1.5(168)

Lower boundary outliers = -70

Thus there are no lower outliers.

Upper boundary outliers = 210 + 1.5(112)

Upper boundary outliers = 378

Therefore, 650 is an outlier.

<h3>4. The outlier(s) for these tires prices: $88, $135, $75, $135, $85, $168, $156, $192, $195, $210, $230, $245, $540</h3>

Arranging in increasing order:

75, 85, 88, 135, 135, 156, 168, 192, 195, 210, 230, 245, 540

Q1 = (88 + 135)/2

Q1 = 111.5

Q3 = (210 + 230)/2

Q3 = 220

IQR = 220 - 111.5

IQR = 108.5

Lower boundary outlier(s) = 111.5 - 1.5(108.5)

Lower boundary outliers = - 51.25

Thus, there are no lower outliers.

Upper boundary outliers = 220 + 1.5(111.5)

Upper boundary outliers = 387.25

Therefore, 540 is an outlier.

<h3>5. Quartiles for the tire pressures of car tires at an auto clinic: 23, 29,18, 24, 27, 24, 35, 32, 34</h3>

Arranging in increasing order:

18, 23, 24, 24, 27, 29, 32, 34, 35.

Q2 = 27

Q4 = 35

Q1 = (23 + 24) / 2

Q1 = 23.5

Q3 = (32 + 34) /2

Q3 = 33

Learn more about quartiles and outliers at: brainly.com/question/24805469

4 0

3 years ago