In the figure, which of the following are collinear points?

A. ACF
B. GBJ
C. HDG
D. AEG

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

The answer you are looking for is A) Four equal sectors labelled fries, fries, ice cream, pop.

Answer:

Angle k is equal to 110°

Step-by-step explanation:

Because they are alternating angles

Answer:

Liner

Step-by-step explanation:

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

Answer:

A  = 57°

B = 19°

C = 104°

Step-by-step explanation:

We have a triangle with 3 angles:

A, B, and C.

We know that:

"Angle A is 3 times larger than angle B"

We can write this as:

A = 3*B

"Angle C was 10° less than 6 times angle B"

This can be written as:

C = 6*B - 10°

And we also know that the sum of all interior angles of a triangle is 180°

Then we also have the equation:

A + B + C = 180°

So we have a system of 3 equations:

A = 3*B

C = 6*B - 10°

A + B + C = 180°

To solve this, the first step is to isolate one of the variables in one of the equations.

We can see that A is already isolated in the first one, so we can skip that step.

Now we need to replace A in the other equations, to get:

C = 6*B - 10°

(3*B) + B + C = 180°

Now we have a system of two equations.

Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:

3*B + B + (6*B - 10°) = 180°

Now we can solve this for angle B

4*B + 6*B - 10° = 180°

10*B - 10° = 180°

10*B = 180° + 10° = 190°

B = 190°/10 = 19°

Now that we know the measure of angle B, we can input this in the equations:

A = 3*B

C = 6*B - 10°

To find the measures of the other two angles:

A = 3*19° = 57°

C = 6*19° - 10° = 104°

Answer:

x = 3

Step-by-step explanation:

Answer:

A,F

Step-by-step explanation:

Answer:

Hello! answer: a = 11

Step-by-step explanation:

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

the value of a is 3

hope it helps

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:

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:

65 liters

Step-by-step explanation:

11/5=2.2

143/2.2=65

Answer: 26.6667%

Step-by-step explanation: :)

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

Answer:

S4 = 1.0317

Error = 1.9683

Step-by-step explanation:

Answer:

The probability that the sum of the two picked numbers is divisible by 5 is 0.2.

Step-by-step explanation:

Given;

set of numbers from {1,2,...,100}

From the set of the given numbers, we will select two numbers divisible by 5.

Using modular approach;

modulo 5 ≡ 0  are 20   -----equation (1)

modulo 5 ≡ 1 are 20  ------- equation (2)

modulo 5 ≡ 2 are 20 ------- equation (3)

modulo 5 ≡ 3 are 20 -------- equation (4)

modulo 5 ≡ 4 are 20 ---------- equation (5)

2 numbers chosen from equation (1) will be divisible by 5  OR 1 number from equation (2) and equation (5) OR 1 number from equation (3) and equation (4).

= (20C₂  +   20C₁ x 20C₁      +      20C₁ x 20C₁)

= (190   +   400  +  400)

= 990 ways

Total outcome = 100C2 = 4950

The probability of picking sum of two numbers divisible 5 = 990/4950

                                                                                     = 0.2

Answer:

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

Answer:

Any number of possibilities...

Step-by-step explanation:

Answer:

The following below are those that shows the correct values for then median-fit method of the restaurant relationship between the number of tables seated (x) and the total number of cups of complementary salsa served (y):

O.  The middle summary point is (52, 103.75).

O.  The right summary point is (63, 160).

O.  The middle summary point is (52, 103.75).

Step-by-step explanation:

Answer:

B.) The middle summary point is (52, 110.5).

D.) The slope of the line of best fit is 2.14.

Step-by-step explanation:

Just did the assignment on Edg 2022 (Linear Regression Methods)

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

Answer:

Where are the choices? There is no choices

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:

probability of selecting blue ball is equal to the number of blue balls over the total balls which is 2÷12

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

[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