Which of the following is not a property of a rectangle

M ∠4 = 2x°, m ∠2 = (4/3)x°, m ∠3 = 20°, find x.

anygoal [31]

The answer is c, b/c...

20+(4/3)x=2x

-(4/3)x -(4/3)x

20=(2/3)x

20/(2/3)=(2/3)x/(2/3)

A: 30=x

7 0

3 years ago

What is the equation of the graph?

ra1l [238]

The general shape is that of an exponential function. Since the horizontal asymptote is -3, it appears to be shifted down 3. The y-intercept is 1 unit above the horizontal asymptote, so it appears there has been no horizontal shift.

For x=1, the curve goes through a point 6 units above the horizontal asymptote. This suggests the equation is
y = 6^x - 3

4 0

2 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

2 years ago

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b

Leviafan [203]

.04b is 2% of 2b because .04 multiplied by 100 is 4 then you divide by 2 which gets you 2.
.04/2=x/100
cross multiply and divide
it is 98% smaller than 2b.

.2b is 10% of 2b because .2 multiplied by 100 is 20 then you divide by 2 and get 10.
.2/2=x/100
it is 90% smaller than 2b.

.56b is 28% of 2b because .56 multiplied by 100 is 56 then divide by 2 and you get 28.
.56/2=x/100
it is 72% smaller than 2b.

1.8b is 90% of 2b because 1.8 multiplied by 100 is 180 then divide it by 2. you get 90.
1.8/2=x/100
it is 10% smaller than 2b.

2.5b is 125% of 2b because 2.5 multiplied by 100 Is 250 and 250 divided by 2 is 125.
2.5/2=x/100
it is 25% larger than 2b

3b is 150% of 2b because 3 multiplied by 100 is 300 and 300 divided by 2 is 150.
3/2=x/100
it is 50% larger than 2b

7 0

2 years ago

Read 2 more answers

FOR 50 POINTS!!!!!Select the correct answer. The graph of function f is shown. The graph of exponential function passes through

dybincka [34]

Using function concepts, it is found that the correct statement is given as follows:

B. They have the same x-intercept and the same end behavior as x approaches ∞.

<h3>What is the end behavior of a function?</h3>

The end behavior of a function is the value of f(x) as x goes to infinity. In this problem, we have that both functions have unbounded growth, that is, both go to positive infinity, hence they have the same end behavior.

<h3>What is the y-intercept of a function?</h3>

It is the value of y when x = 0. Hence:

The y-intercept of f(x) is y = -3.

The y-intercept of g(x) is y = -4.

<h3>What is the x-intercept of a function?</h3>

It is the value of x when y = 0. Hence:

The x-intercept of f(x) is x = 1.

The x-intercept of g(x) is x = 1.

Hence statement B is correct.

More can be learned about function concepts at brainly.com/question/25537936

#SPJ1

4 0

1 year ago