A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1–10 on equally sized slips of paper and places them in a bag. He shakes the bag and selects 3 slips of paper. Is the sample of 3 questions a simple random sample? Yes, because the paper slips were equally sized. Yes, because the paper slips were equally sized and the bag was shaken. No, because there are only 10 questions. No, because the questions were selected using a bag.

Answer:

0.2051

Step-by-step explanation:

The probability of follppping a coin 10 tones and getting a tail 6 times can be solved in different ways :

One way is to use the binomial probability relation :

Where :

P(x = x) = nCx * p^x * q^(n-x)

Number of trials, n = 10

p = 1/2 (probability of obtaining a tail per flip)

q = 1- 1/2 = 1/2

x = 6

P(x = 6) = 10C6 * 0.5^6 * 0.5^4

P(x = 6) = 0.205078125

P(x = 6) = 0.2051

3800 mm

Hope it helps you...

Thank you!!

Answer:

75%

88.89%

Step-by-step explanation:

Given :

Mean = 70

Standard deviation = 12

Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :

The minimum proportion of observation between 46 and 94

Chebyshev's theorem :

1 - 1 / k²

k = number of standard deviations from the mean

k = (94 - 70) / 12 = 24 / 12 = 2

Hence, we have ;

1 - 1/2²

1 - 1/4

1 - 0.25 = 0.75

Hence, The minimum proportion of observation between 46 and 94 is 75%

Between 36 and 106 :

k = (106 - 70) / 12 ;

k = 36/12 = 3

Hence,

1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%

The minimum proportion of observation between 34 and 106 is 88.89%

Answer:

I'm not 100% positive, but I think it's 30

Answer:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

Answer:

310 feet per mile marker

Step-by-step explanation:

The average change will be the difference in elevation over the difference in mile markers. Randy’s elevation changed from 6220 feet to 8390 feet, which is a difference of

8390-6220=2170 feet. He started tracking at mile markers 6 to mile markers 13, which is a difference of

13-6=7 miles markers. The average change in elevation is 2170 feet / 7 mile markers = 310 feet per mile marker.

Answer:

x= 9 × 56/10

x = 50.4 pounds

Answer: 72x(elevated 4)y(elevated 3)

Step-by-step explanation:

4xy(2x2y)(3xy)(3)

Answer:

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi  ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z  = 6*x₁  +  4*x₂  + 6*x₃      Objective Function

Constraint :

basket capacity  17

9*x₁  +  3*x₂  +  4*x₃  ≤  17

General constraints:

x₁   ≥  0     x₂    ≥  0     x₃  ≥  0    all integers

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

Answer:

the solutions are _2 and 3/4 so the answer is option D

Answer:

10/120

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

varies inversely

xy = k

y = 7 when x = 2/3

(2/3)7 = k

14/3 = k

k = 14/3

--------------------

find y when x = 7/3

(7/3)y = 14/3

multiply both sides by 3/7

y = 14/3 * 3/7

y = 2

Answer: y = 2

Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.

Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.

(2/3)(7) = (7/3)(y)

So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.

Answer:

26.6 meters

Step-by-step explanation:

Tan(x) = [tex]\frac{opp}{adj}[/tex]

Tan(28)  = [tex]\frac{x}{50}[/tex]

x = 26.6m

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

Parallel equations have the same slope.

Answer:

0.9 meters

Step-by-step explanation:

5.4 divided by 6 would equal 0.9

hope it is helpful

Answer:

I think 140

Step-by-step explanation:

180=x+30+10

x=180-40

x=140

Answer:

4. SAME SLOPE, SAME Y INTERCEPT.

When this happens... The system of Equations has an Infinite Number of solutions.

A IS YOUR ANSWER

5.

A system of Equations has no solution when the graph of the system are PARALLEL LINES.

OPTION D IS YOUR ANSWER.

Answer:

its a

Step-by-step explanation:

Answer:

The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diameter at the points (7,8) and (-3,6).

The diameter is the distance between these two points, so:

[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]

Radius is half the diameter, so:

[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]

So

[tex]r^2 = (\sqrt{21})^2 = 21[/tex]

Center:

Midpoint of the diameter, which is the mean of the coordinates. So

[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]

[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]

Then

[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Answer:

radians

Step-by-step explanation:

Another unit of measure for angles others then degrees are radians.

Answer:

radians

Step-by-step explanation:

Answer:

On average, customer spends approximately  98 min at Little’s Law Firm

Step-by-step explanation:

Given the data in the question;

Arrival rate λ = 6 per 8 hours =  6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute

Service rate δ = 1 / 50 min = 0.02 per minute

Standard deviation σ = 20 min

Now,

Utilization rate U = Arrival rate / Service rate

U = 0.0125 / 0.02

Utilization rate = 0.625

Number of people in Queue will be;

⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )

we substitute

⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )

⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )

⇒ 0.453125 / 0.75

Number of people in Queue = 0.6042

Now

Wait in the Queue = Number of people in Queue / λ

= 0.6042 / 0.0125 = 48.336

Wait Time in Office = Wait in the Queue + ( 1 / δ )

= 48.336 + ( 1 / 0.02 )

= 48.336 + 50

Wait Time in Office = 98.336 ≈ 98 min

Therefore, On average, customer spends approximately  98 min at Little’s Law Firm

Answer:

Linear function

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1

, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.

Answer:

B) x = 20

Step-by-step explanation:

All triangle interior angles add up to 180 so:

x + 5 + 7x - 5 + x = 180

9x = 180

x = 20

Answer:

I think it C because I know that Nalia isn't correct so it's not D or B.

Square part of perimeter = 40.

Half circle = 25.135.

Together 65.135 is perimeter.

Area of square: 192

Are of half circle: 100.53.

Together 292.53

Rounded =292.48 I guess, its the most logical option since I don't see it and the only one that fits perimeter answer.

So its the 3rd question I believe, you may want to double check.

Hit the heart if it was helpful.

The perimeter and total area of the composite shape are; 292.53 and 65.135 .

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

The Square part of perimeter = 40.

Half circle = 25.135.

The perimeter = 40 + 25.135 = 65.135 is perimeter.

The Area of square = 192

Are of half circle: 100.53.

Together 292.53

Rounded =292.48

Therefore, the perimeter and total area of the composite shape are; 292.53 and 65.135 .

Learn more about the area here;

https://brainly.com/question/1658516

#SPJ2

Step-by-step explanation:

Guess "This afternoon l,he has the same number of annuals and perennials left to plant will take more time to plant.