Consider the intersecting lines shown. Which of the following statements could you prove based on this?
A. ∠w ≅ ∠z
B. m∠x + m∠z = 180°
C. ∠x ≅ ∠z
D. m∠w + m∠y = 90°

Answer:

B.   3/2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals

The negative reciprocals of -2/3

is 3/2

Answer:

value we donnot know so we try to find it by equations

Answer:

Any number of possibilities...

Step-by-step explanation:

Answer:

a) 0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers

b) 0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

Step-by-step explanation:

For each driver pulled, there are only two possible outcomes. Either they are texting, or they are not. The probability of a driver being texting is independent of any other drivers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is estimated that 52% of drivers text while driving.

This means that [tex]p = 0.52[/tex]

A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?

This is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.52)^{3}.(0.48)^{2} = 0.324[/tex]

0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.

B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?

None of the first four([tex]P(X = 0)[/tex] when [tex]n = 4[/tex]), and then the fifth, with 52% probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.52)^{0}.(0.48)^{4} = 0.0531[/tex]

0.0531*0.52 = 0.0276

0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

Answer:

600W = C

Step-by-step explanation:

First we must identify the relationship between weight of gold and cost of gold.

We can do this by dividing cost by corresponding weight.

7200 / 12 = 600

13200 / 22 = 600

19200 / 32 = 600

each proportion has an outcome of 600

Therefore Cost = Weight times 600 or C = 600W

Answer:

Perhaps this could be answered, if the graphs were included.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The mode is the value which occurs the most in the set. We see that 60 occurs three times, 62 occurs once, 63 occurs once, 65 occurs twice, 66 occurs once, 68 occurs once, and 69 occurs once.

Thus, the mode is 60.

Answer:

The mode is 60

Step-by-step explanation:

The mode is the number that appears most in the set of data. 60 appears the most, appearing 3 times.

Answer:

5.66

Step-by-step explanation:

Answer:

56.924

Step-by-step explanation:

Step-by-step explanation:

Change the problem into something you recognize

7% = 7 x 10^-2 = 0.07

Multiply by this decimal

53.20 x 0.07 = a

Then add this to the original

53.20 + a

Answer:

Angle k is equal to 110°

Step-by-step explanation:

Because they are alternating angles

Answer:

65 liters

Step-by-step explanation:

11/5=2.2

143/2.2=65

Answer:

LCL = 4.72

UCL = 18.08

Step-by-step explanation:

Sample size, n = 20

Sample _ tread wear, x __ Range

1 ______ 33.67 ___ 14

2______ 26.33 ___ 17

3 _____ 29.67 ____ 9

4 ______ 21 ______ 8

5 ______ 34 ______ 9

6 ______ 39.67 ___ 6

7 ______ 22.33 ___ 12

8 ______ 28.67 ___ 6

9 ______ 36 ______8

10 _____ 25.33 ___ 13

11 _____ 32.33 ____14

12 _____ 22.33 ___ 6

13 _____ 24.33 ___ 15

14 _____ 31.67 ___ 26

15 _____ 24 _____ 11

16 ____ 34.33 ____ 12

17 ____ 32 _______ 8

18 ____ 33.33 ____ 11

19 ____ 25 _______11

20 ___ 27.33 _____12

Sample mean, xbar = Σx / n = 29.167

Rbar = ΣR/ n = 11.4

The R chart control limit is given by :

Rbar(1 - 3(d3/d2))

From the R chart :

d3 = 0.729 ; d2 = 3.735

Hence,

LCL = 11.4(1 - 3(0.729/3.735))

LCL = 11.4(0.4144578) =

LCL = 4.72481892 = 4.72

UCL = 11.4(1 - 3(0.729/3.735))

UCL = 11.4(1.5855421)

UCL = 18.075180 = 18.08

Answer: b

Step-by-step explanation:

9514 1404 393

Answer:

  A. between 8 and 9

  B. right of 8.63

Step-by-step explanation:

See the attached. Numbers increase to the right, so 8.78 is right of both 8.63 and 8.71. The ones digit is 8, so 8.78 is between 8 and 9.

Answer:

76 or 63

Step-by-step explanation:

Given: The tickets cost; Adults = $8, children = $5. Rene sold 100 total tickets for a total of $611

To find: How many adult tickets she sold

Solution: To find how many adult tickets Rene sold, divide the total amount of money made by selling the tickets by the cost for adult tickets

                                                     611 ÷ 8 = 76.4

In the closest tens place, Rene sold is 76 adult tickets or even 63

[tex]CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG[/tex]

[tex]2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5[/tex]

[tex]EF = 2 * 5 - 2 = 10 - 2 = 8[/tex]

Answer: 8.

Answer:

EF=8

Step-by-step explanation:

HG=x-3

CD=x

EF=2x-2

Since HG is 3 less than CD, EF has to be 3 more than CD

x+3=2x-2

3+2=2x-x

5=x

x=5

HG=2

CD=5

EF=8

Answer:

area of a parallelogram= base times perpendicular height

Step-by-step explanation:

area = 6 *12

72

Answer:

Hello! answer: a = 11

Step-by-step explanation:

2 × 11 = 22 So therefore a = 11 HOPE THAT HELPS!

Answer:

50 + 100n  

Step-by-step explanation:

The cost is the cost of the visit plus the cost of the cavities

50 + 100n  where n is the number of cavities

Answer:

P = 50 + 100*n

Step-by-step explanation:

1. The visit is $50

2. Additional cavity is $100

3. n cavities would cost 100*n

Answer:

m or minutes is the independent variable

h or height is the dependent variable

Step-by-step explanation:

independent variable is usually the x or the variable that you can create a number for, dependent variable is usually the y or the variable that you need to plug x in and solve for.

Answer:

24 inches

Step-by-step explanation:

we have 4 sides 2 of them are 5 and the other 2 are 7

7 + 7 = 14

and

5 + 5 = 10

Lastly,

10 + 14 = 24

The outside perimeter of the given its width and the length is 24 inches.

A rectangle is a quadrilateral that has two diagonals of equal length that intersect each other. The perimeter of a rectangle is the distance round the rectangle.

Perimeter of a rectangle = 2 x (length + width)

2 x (5 + 7) = 24 inches

To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

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Answer:

hello your question is incomplete attached below is the complete question

answer :   1

Step-by-step explanation:

Given Function:

F(x,y)=[tex]\left \{ {{1/4(2x+y)} \atop {0}} \right.[/tex]      for    0<x<1, 0<y<2

                                            elsewhere.

Evaluating the marginal density of the writing test score at point

X = 1/2  = 1/4 ( 4x + 2 ) = 1/4 ( 4 * 1/2 + 2 ) = 1

attached below is the detailed solution

The area between the curve and x-axis is 6/7 units²

How can one find out the area between a curve and x-axis using integrals?

By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a and x = b. Areas below the x-axis will have a negative result, while those above the x-axis will have a positive result.

Solution:

Given,

curve y= 3x⁶

x-axis interval = ₋1 to 1

area between the curve and the x-axis is limits(-1 to 1) ∫3x⁶

limits(-1 to 1) 3∫x⁶

limits(-1 to 1) 3∫x⁷/7

3[2/7]

6/7 units²

Hence we get the answer as 6/7 units².

Learn more about "Definite Integrals" here-

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Answer:

3/484

Step-by-step explanation:

3/11 ÷ 44

~Turn whole number into a fraction and use copy dot flip

3/11 ÷ 44/1

3/11 * 1/44

3/484

Best of Luck!

Answer: Hello Luv......

The chosen topic is not meant for use with this type of problem. Try the examples below.

45665

8723

209÷32

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

Answer:

Where are the choices? There is no choices

Answer:

The probability when rolling a regular six-sided dice that the score is an odd number is three-sixths or three out of six. Both three and six are divisible by three. Therefore, this fraction could be simplified to one-half. Three divided by three is equal to one.

Answer:

Liner

Step-by-step explanation:

The cost after the first night is steadily increasing at $75