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3 years ago

Equivalent this problem -3(4 – 2g) – 6?

Mathematics

2 answers:

polet [3.4K]3 years ago

6 0

Answer:

-12 + 6g - 6

Step-by-step explanation:

lions [1.4K]3 years ago

5 0

Let's simplify step-by-step.
−
3
(
4
−
2
g
)
−
6
Distribute:
=
(
−
3
)
(
4
)
+
(
−
3
)
(
−
2
g
)
+
−
6
=
−
12
+
6
g
+
−
6
Combine Like Terms:
=
−
12
+
6
g
+
−
6
=
(
6
g
)
+
(
−
12
+
−
6
)
=
6
g
+
−
18
Answer:
=
6
g
−
18

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Solve the equation: r^4·r^3 = _____

sukhopar [10]

Answer:

$r^4 * r^3\\r^7$

4 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

Can you explain how to solve this problem

iVinArrow [24]

Answer:

Step 1:

Start by setting it up with the divisor 10 on the left side and the dividend 179 on the right side like this:

1 0 ⟌ 1 7 9

Step 2:

The divisor (10) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

1 0 ⟌ 1 7 9

Step 3:

Multiply the divisor by the result in the previous step (10 x 0 = 0) and write that answer below the dividend.

1 0 ⟌ 1 7 9

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

1 0 ⟌ 1 7 9

- 0

Step 5:

Move down the 2nd digit of the dividend (7) like this:

1 0 ⟌ 1 7 9

- 0

1 7

Step 6:

The divisor (10) goes into the bottom number (17), 1 time(s). Therefore, put 1 on top:

0 1

1 0 ⟌ 1 7 9

- 0

1 7

Step 7:

Multiply the divisor by the result in the previous step (10 x 1 = 10) and write that answer at the bottom:

0 1

1 0 ⟌ 1 7 9

- 0

1 7

1 0

Step 8:

Subtract the result in the previous step from the number written above it. (17 - 10 = 7) and write the answer at the bottom.

0 1

1 0 ⟌ 1 7 9

- 0

1 7

- 1 0

Step 9:

Move down the last digit of the dividend (9) like this:

0 1

1 0 ⟌ 1 7 9

- 0

1 7

- 1 0

7 9

Step 10:

The divisor (10) goes into the bottom number (79), 7 time(s). Therefore put 7 on top:

0 1 7

1 0 ⟌ 1 7 9

- 0

1 7

- 1 0

7 9

Step 11:

Multiply the divisor by the result in the previous step (10 x 7 = 70) and write the answer at the bottom:

0 1 7

1 0 ⟌ 1 7 9

- 0

1 7

- 1 0

7 9

7 0

Step 12:

Subtract the result in the previous step from the number written above it. (79 - 70 = 9) and write the answer at the bottom.

0 1 7

1 0 ⟌ 1 7 9

- 0

1 7

- 1 0

7 9

- 7 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 179 divided by 10 calculated using Long Division is:

9 Remainder

Step-by-step explanation:

4 0

3 years ago

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Multiply and reduce to lowest terms. Convert into a mixed number if necessary.

WARRIOR [948]

Answer: 1 3/12

Step-by-step explanation: You can multiple straight accross and

5 is equivelant to 5/1 so we would do

5/1 * 3/12 = 15/12 which can get simplified into 1 3/12

Hopt this helps :D

7 0

2 years ago

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Colt1911 [192]

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3 years ago

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