Can someone please help me

Can Someone Please Help Me

Answers

Answer 1

From the given data

a) Then the number of squares wide does the grid need to be so that the data fits on the graph is 7 blocks

b) If the grid is 20 squares tall, then the variable A can be replaced by 0.09 km

In the graph,

The x axis represents the Time since start in minutes and the y axis represents the distance from the start in kilometers.

In x axis each block represents 5 minutes

The maximum value of time taken in table = 35 minutes

Then the number of squares wide does the grid need to be so that the data fits on the graph = 35 / 5

= 7 blocks

Part b

If the grid is 20 squares tall

The maximum value of distance = 1.8 km

Then the value of A will be

1.8 / 20 = 0.09 km

Hence, from the given data

a) Then the number of squares wide does the grid need to be so that the data fits on the graph is 7 blocks

b) If the grid is 20 squares tall, then the variable A can be replaced by 0.09 km

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Related Questions

The PTA is purchasing 5 gallon tubs of ice cream for
ice cream sundaes. One gallon of ice cream is 16 Cups
b) How many 1 cup servings are in a 5 gallon tub?

Answers

5 gallon tubs of ice cream will make 80 cups of ice cream servings.

According to the question,

We have the following information:

The PTA is purchasing 5 gallon tubs of ice cream cups. One gallon of ice cream is 16 Cups.

Now, we know that when we have to find cost or number of any product then we use multiplication.

Now, we have the following expression:

1 gallon of tub = 16 cups of ice cream

5 gallon of tubs = 5*16 cups of ice cream

5 gallon of tubs = 80 cups of ice cream

Hence, 5 gallon tubs of ice cream will make 80 cups of ice cream servings.

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A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.

Answers

The 95% confidence interval for the average apple weight is (119.14, 125.86).

Given info,

The average weight per apple, according to one manufacturer, is 120 grams, with a standard deviation of 12 grams. The average weight per apple, according to data produced from a sample of 49 apples drawn at random from a shipment, was 122. 5 grams.

Let,

n = 49

x = 122.5

σ = 12

To calculate and interpret a 95% confidence interval for the mean weight per apple;

∴ A 95% confidence interval is given by,

(x ± 1.96*σ/√n)

(122.5 ± 1.96*12/√49)

(119.14, 125.86)

Hence, a 95% confidence interval for the mean weight per apple is  (119.14, 125.86).

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What is the domain of the exponential function y = 8^x+2?

Answers

hola buenas tardes como está el día de hoy ? yo estoy bien gracias por preguntar, espera...hablas español verdad...?

Answer: All real numbers

Step-by-step explanation: It is pretty simple. Just see if the x can be undefined. In this case x works with every number. So, it's all real numbers

Answer question in picture

Answers

Answer: 0 = 70º

Step-by-step explanation: Solve sin(π/9) = cos(0) to find angles

11. Tia drives 127 miles a week. Mac drives 23 times as many miles as Tia a week. How many miles does Mac drive a week?

Answers

Answer:

He drives 2921 a week.

Step-by-step explanation:

If Tia drives 127 miles in a week, and Mac drives 23 times as many miles as Tia, then we multiply. 127x23=2921.

Hope this helped :)

Solve negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity end quantity.

18 over 80
one eighth
negative one and 28 over 80
negative five eighths

Answers

The value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

We are given the following expression:

Negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity.

Rewrite the given expression properly as:

-1/5 * (4 - 14) * (1/4)^2

Evaluate the difference, we will get;

-1/5 * (-10) * (1/4)^2

Evaluate the exponent, we will get;

-1/5 * (-10) * 1/16

This gives us;

2 * 1/16

Further, evaluation give us;

1/8

So, the value of the given expression is 1/8 or one eighth.

Option B is correct.

Thus, the value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

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I need help on this !!!

Answers

We can make 75 different outfits by using the fundamentals of the counting principles.

Fundamental of counting principles: It states that if there are m ways of making one choice, n ways of making a second choice, and p ways of making the third choice then there are m x n x p ways of making the first choice, followed by the second choice, and followed by the third choice.

Given that:

The different number of tops (m) = 5

The different number of bottoms (n) = 5

The different number of shoes or boots (p) = 3

Then, according to the fundamental of counting principles, we will multiply the different numbers of tops (m) which is the first choice, different numbers of bottoms (n) which is the second choice, and different numbers of shoes or boots (p) which is the third choice.

Therefore, the different outfits we can make = m x n x p

                                                                            = 5 x 5 x 3

                                                                            = 75 different outfits

Hence, we can make 75 different outfits.

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Need help asap. Simplify the expression 4/x-3/x show work

Answers

Answer:

1/x

Step-by-step explanation:

Steven's birthday party will cost $168 if he invites 14 guests. If there are 59 guests, how much will Steven's birthday party cost? Solve using unit rates.

Answers

$708

explanation:

we want to find out how much it is a person first so

168/14= $12

so it’s $12 per person

now we want to find how much it will be for 59 guests

so 12x59= $708

hope this helps <3 have an amazing night :)

2
2 points
If I || m, find the value of x and y.
(7x + 12)
(12x - 28)
(9y-77)"
m

Answers

If I || m, find the value of x and y.

Given (7x + 12)

(12x - 28)

(9y-77)

What does the term " l || m " represents?

This term indicates that the line 'l' is parallel to the line 'm'.

It can be seen that, ∠(7x + 12) and ∠(12x - 28) from alternate interior angles as line 'l' and 'm' are parallel. These angles will be equal to each other. Therefore, we can write -

7x + 12 = 12x - 28

12x - 7x = 12 + 28

5x = 40

x = 8

Now, ∠(12x - 28) and ∠(9y - 77) form a straight angle. Therefore, we can write -

(12x - 28) + (9y - 77) = 180

(12 x 8 - 28) + (9y - 77) = 180

68 + 9y - 77 = 180

9y = 180 + 9

9y = 189

y = 21

Hence the answer is, the values of [x] and [y] will be 8 and 21 respectively.

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Mrs. Nicholas baked two batches of cookies. The first batch consisted of 120 gingerbread cookies and the second batch consisted of 150 shortbread cookies. Mrs. Nicholas saved the same fraction of cookies from each batch. If Mrs. Nicholas saved 20 more shortbread cookies than gingerbread cookies, what fraction of the cookies did she save?

I know the answer, but I don't know how to solve.

Answers

2/3 of cookies were she saved.

What is Fraction?

A fraction represents a part of a whole.

The first batch consisted of 120 gingerbread cookies

Second batch consisted of 150 shortbread cookies.

And, the same fractions of cookies from each batch were saved.

Let x parts of each of cookies were saved.

Then The number of the saved gingerbread cookies = 120 x

While, The number of the saved shortbread cookies = 150 x

150x-120x=20

30x=20

x=20/30

x=2/3

Hence 2/3 of cookies were she saved.

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8. Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne can jump 13.2 inches, how tall, in inches, is she

Answers

36.3 inches the tall is she in.

Given that;

Percentage of vertical jump height = 27.5%

Dagne's height = 13.2 inches

We need to find:

Height of jump

We know that the formula for Computation:

Height of jump = Percentage of vertical jump height × Dagne's height

so,

Height of jump = 13.2 × 27.5

That equals to

Height of jump = 36.3 inches

Hence the answer is 36.3 inches the tall is she in.

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4. 6 2/3 divided by 8

Answers

Ok so first you have to make 6 2/3 an improper fraction. So multiply 6 by 3 and add it to 2. That gives you 18 +2 which is 20. Now you have 20/3 divided by 8. Dividing is the same as multiplying by the reciprocal so 20/3 /8 is the same as 20/3 * 1/8. Now do cross simplification and you get 5/3 *1/2 which gets you 5/6

Given s(x) = 2x - 3 and t(x) = 5x + 4. Find the formula and domain for v(x) = and w(x) =.

Answers

With the exception of x=4/5, the domain of s(x) over t(x) is all real numbers. Except when x=-3/2, all real numbers fall within the domain of w(x).

Given,

The value of the independent variable, often x, for which the supplied function is specified is the domain of a function.

When the value of the denominator falls to zero, a function that is composed of the fraction of two polynomials is not defined.

The numerator of t(x) should not be zero since the domain of s(x) over t(x) will be all real integers except the numerator of zero.

t(x) = 0

5x + 4 = 0

5x = -4

x = -4/5

With the exception of x=-4/5, all real numbers fall into the domain of s(x) over t(x).

Similar to w(x), s(x) should not be zero because the domain of w(x) will be all real numbers except for the one that makes the denominator equal to zero.

s(x) = 0

2x - 3 = 0

2x = 3

x = 3/2

With the exception of x=-3/2, all real numbers fall within the domain of w(x).

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-6v > 48.help meeeeee

Answers

Answer: v<-8

im not sure if that what your looking for but

Please help this is due tomorrow
If W(-10, 4). X(-2, 71), and Y(-5, 10) classify triangle WXY by its sides. Show all work to justify your answer.​

Answers

If W(-10, 4), X(-2, 71), and Y(-5, 10), triangle WXY is an isosceles triangle.

What is an obtuse scalene triangle?

An obtuse scalene triangle is a triangle in which one of the angles is greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. The measurements of all three sides and angles

Distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

The given points are W(-10, 4), X(-2, 71), and Y(-5, 10) .

Let's find the length of WX.

                         [tex]WX = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WX = \sqrt{(-2 -(-10))^2 + (71-4)^2}\\\\WX = \sqrt{(8)^2 + (67)^2}\\\\WX = \sqrt{64 + 4489}\\\\WX = \sqrt{64 + 4489}\\\\WX=67.47[/tex]

Now find the length of XY.

                        [tex]XY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\XY = \sqrt{(-5-(-2))^2 + (10-71)^2}\\\\XY = \sqrt{(-3)^2 + (-61)^2}\\\\XY = \sqrt{9 + 3721}\\\\XY=61.07[/tex]

Now find the length of WY.

                      [tex]WY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WY = \sqrt{(-5-(-10))^2 + (10-4)^2}\\\\WY = \sqrt{(5)^2 + (6)^2}\\\\WY = \sqrt{25+36}\\\\WY=7.81[/tex]

So from calculations, we can say that triangle is an obtuse scalene triangle.

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You can use indirect measurement to estimate the height of a flag pole. First measure your distance from the base of the flagpole and the distance from the ground to a point on the flag pole that you are looking at. Maintaining the same angle of sight, move back until the top of the flag pole is in your line of sight. Explain why AABC and ADBE are similar. a. b. What is the height of the flagpole? E 7.5 ft Bi AT 4.5 ft 51-22 ft- D T 4.5 ft​

Answers

The height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

What is the similarity law for triangles?

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

You can use indirect measurement to estimate the height of a flag pole.

Given:

AC || DE

The common angle: Angle B = Angle B

Angle BAC = Angle BDE

Triangle ABC = Triangle DBE (By AA rule)

BC/BE = BA/BD

(7.5 - 4.5)/BE = 5/22

BE = 13.2

The height of the flag pole

h = BE + 4.5 = 13.2 + 4.5 = 17.7 ft

Thus, the height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

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A spherical snowball is melting. Its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm. How fast is the volume decreasing 5 minutes later? give your answer in cubic centimeters per minute.

Answers

Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

Define differentiation.

Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives. The velocity is the rate at which a displacement changes in relation to time. A differentiation example would be this. The first derivative of displacement is velocity. The second derivative of displacement is acceleration.

Given,

The radius is decreasing at a rate of dr/dt = 3.

R = 100 cm is the beginning value of the radius.

The duration is t = 25 minutes.

Volume of snowball:

V = 4/3π(100 - 3r)³

Differentiating:

dV/dt = 4/3 × 22/7 (3)(-3)(100-3(25)²)

dV/dt = -23561.94 cm³

Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

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The ratio of 19 yellow beads to 4 red

Answers

Answer:

the answer is 19: 4

Step-by-step explanation:

19:4

what is 3/36 times 60

Answers

Answer:

5

Step-by-step explanation:

Answer: The answer to that would be 5.

Step-by-step explanation:

Hope this helps!

Noemi strings together x green beads at $0. 75 each with 3 blue beads at $0. 30 each. She makes a bracelet that averages $0. 60 per bead. Choose an equation to model the situation.

Answers

The model equation for the given situation is

$0.75x + $0.90)/(3 + x) = $0.60 where,

x ----> known number of green beads

$0.60 ---> bracelet average per bead

Averages cost is defined as the ratio of total cost of all purchsed expenses to the total numbers of purchsed expenses in counts .

We have given that,

Noemi strings x green beads and 3 blue beads.

Cost of each green beads = $0.75

Cost of each blue beads = $0.30

Total cost of purchasing is product of total number of expenses by cost of each expense. So, Total cost of green beads = $ 0.75 x

Total blue bead cost = 3 x 0.3 = $ 0.9

Total number of beads used by Noemi = x + 3

Total cost of all beads (green+blue)

= $(0.75x + 0.9

Average of bracelets is $0.60 per bead

So average formula ,

($0.75 x + $0.9)/(x+3) = $0.60

or 0.75 x + 0.9 = 0.60x+ 0.18 => 0.75x - 0.60x= 0.9

=> 0.15x = 0.9 => x = 6 i.e we get total 6 green beads if solve the model.

Hence, equation of model in this situation is

($0.75 x + $0.9)/(x+3) = $0.60

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Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.


An equation is

=10.


You are

12 years old.

Answers

The required age from the equation is 12 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age to be calculated be = a

The age of the brother be b = ( 1 / 3 ) a

Multiply by 3 on both sides , we get

a = 3b

So , Age to be calculated a = 3b

The age of sister c = 6 years elder than brother

So ,

The age of sister c = b + 6

The age of sister c = 10

From the equations , we can simplify that

c = b + 6

Substituting the value for c , we get

10 = b + 6

Subtracting 6 on both sides , we get

b = 4

Now , from the equation , we get

Age to be calculated a = 3b

                                      = 3 x 4

                                      = 12 years old

Hence , the age to be calculated a is 12 years old

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consider the continuous random variable x, which has a uniform distribution over the interval from 30 to 38. the probability that x will take on a value between 34 and 35 is . a. 0.125 b. 0 c. 1 d. 0.875

Answers

Probability that a continuous random variable (x) will take on a value between 34 and 35 is 1/8

Uniform distribution is a type of probability distribution which consists constant probability.

It is also known as Rectangular distribution and

denoted by U( x,y ) .

let X be a continuous random variable then

X ~ U( x,y) where x is maximum value and y is minimum value .

Probability density function of uniform distribution is f(X) = 1/(b-a) , where

b---> maximum value , a---> minimum value

we have provided the interval of uniform distribution as 30 to 38 i.e b = 38 , a = 30

then , f( X) = 1/ (38-30) = 1/8

Probability that X will take on value between c and d is

P ( c ≤X≤ d ) =( d -c )/ (b-a )

Probability that X will take on a value between 34 and 35 is

P ( 34X35) = ( 35-34)/ 8 = 1/8

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I really need help for interpreting the remainder. Here is the question.

The student in class of 24, share 48 apple slices end 36 orange slices equally among them. How many pieces of fruit did each student get.

Whoever is going to be answering this question, please give me a valid answer and show your work

Answers

Answer:

so that means they would each get 2 and a half of apple and orange slices

Step-by-step explanation:

48 ÷ 24 =2

36 ÷ 24 =1.5

=2 1.5

Jan enters a 20-foot by 30-foot rectangular room.The long sides face north and south.Jan enters exact center of the south side and walks 10 feet north.Then she walks 8 feet east.How far is she from the east side of the room.(Please explain it in 5th grade terms)(I lied about me being in high school)

Answers

So if longer (30) side faces N + S
The parallel must be the 20 side

20/2 = 10 = center
So from south , Jan walks 10 forward and turns 8 foot east

Since she started in the middle already only 10 foot counts

So 10-8 = 2 foot away from east side

Hope that made sense!
I have a diagram explaining it too

Solve the system of linear equations by graphing.
- 6x - y = -8
1/2Y = 4-3x

Answers

Answer:

[tex]x=\frac{-8+y}{6}[/tex]

Step-by-step explanation:

Let us evaluate this problem.

First, add Y to both sides

[tex]-6x-y+y=-8+y[/tex]

Always remember to simplify.

[tex]-6x=-8+y[/tex]

Divide both sides by -6

[tex]\frac{-6x}{6} =\frac{8}{-6} +\frac{y}{-6}[/tex]

Simplify one more time.

[tex]x=\frac{-8+y}{6}[/tex]

Your final answer is:
[tex]x=\frac{-8+y}{6}[/tex]

Find the value of x.

Answers

Answer:

C (41)

Step-by-step explanation:

A straight line has 180 degrees in it. all you would have to do is is add the known numbers, 16 + 123, getting 139. Then subtracting 139 from 180m. You would then get 41.

Answer:

x=41

Step-by-step explanation:

(X+16)+123=180

x+139=180

 -139. -139

x=41

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Simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)

Answers

The after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

We need to simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)

1/6x + 3/4 (1/2x - 4)

1/6x +3/4 ((1 - 8x)/2x)

1/6x + (3 - 24x)/8x

(8 + 6(3 - 24x))/(6x8) x

(8 + 18 - 144x)/48x

(26 - 144)/48x

Therefore, the after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

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Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1. 69 a square foot, what is the total cost to tile the kitchen?.

Answers

Total cost  to tile the kitchen =$273.78

Let the width of kitchen = w

The length of the kitchen is nine feet shorter than three times its width, w  = 3 w-9    equation-----1

The perimeter of the kitchen is six times the width = 6 w

= 2(length+width) =6 w    equation----2

from equation 1 and 2

= 2(3 w-9+w) = 6 w

= 6 w-18+2 w = 6 w

   2 w = 18

   w = 9

Length = 3 w-9

length  = 3×9-9

length  = 18

Area of kitchen = length×width

                          = 18×9

                          = 162 square foot

Cost of tiles per square = $1.69

Total cost  to tile the kitchen = Area of kitchen × cost of tiles per square

                                                = 162×$1.69

                                                =$273.78

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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.

According to the question:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

It is given that the cost of the tile = $1.69 a square foot.

Then the total costs of tiles the kitchen is :

The Perimeter of the rectangle =  2(L + b)

The Perimeter of the rectangle =  2(3x - 9 + x)

The Perimeter of the rectangle =  2(4x-9)

We know that, according to the question,

the perimeter of the kitchen is six times the width = perimeter of rectangle

⇒ 6x = 8x - 18

⇒ - 2x = - 18

⇒ x = 18/2

⇒ x = 9

Thus, the width = x = 9 feet

Putting the value of x = 9

then, The length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 feet

Therefore, as we know that,

Area = Length × Width

Area = (18 × 9) feet  

Area =   162 square feet.

Now,

Cost of a Tile = $1.69 per sq. ft.

Thus,

Total Cost of tile = $1.69 × 162

Total Cost of tile =  $273.28

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5.1 contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. let y1 denote the number of contracts assigned to firm a and y2 the number of contracts assigned to firm b. recall that each firm can receive 0, 1, or 2 contracts. a find the joint wackerly, dennis; mendenhall, william; sheaffer, richard l.. mathematical statistics with applications (p. 232). cengage textbook. kindle edition.

Answers

The solutions are;

The joint probability of y1 and y2 is  [tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex] and F(1,0) = 1/3.

Given data;

Let y1 signify the number of contracts awarded to firm a and y2 the number of contracts assigned to firm b. Recall that each firm can receive 0, 1, or 2 contracts. Contracts for two construction tasks are randomly assigned to one or more of three firms, a, b, and c.

To find,

(a) The joint probability function for  y₁ and y₂

Let y₁ denote the number of contracts assigned to firm A,

y₂ the number of contracts assigned to firm B

      y₁

      [tex]\left[\begin{array}{ccc}0&1&2\\\\\end{array}\right][/tex]

        y₂

[tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex]

(b) Find F(1,0)

F(1,0) =  p(y₁ ≤ 1, y₂ ≤ 0)

         = p(0,0) + p(1,0)

         = 1/9 + 2/9

         = 1/3.

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Choose the answer to the following math problem. quatre-vingt-neuf+ un = Ocent. Oquatre-vingt-dix. Oquatre-vingt-quinze. Oquatre-vingts A cell with 18 chromosomes undergoes mitosis. How many daughter cells are created? [a] each daughter cell has [b] chromosomes. an observation that stocks with above average price-to-earnings ratios have consistently underperformed those with below average price-to-earnings ratios least likely contradicts which form of market efficiency? It takes a word processor 30 minutes to word process and spell check 4 pages. Find how long it takes her to word process and spell check 22 pages. "In framing a government which is to be administered by men over men, the great difficulty lies in this: you must first enable the government to control the governed; and in the next place oblige it to control itself.""The different governments will control each other, at the same time that each will be controlled by itself."Source: Federalist #51 by James Madison 1) What Enlightenment idea of Montesquieu's does this quote refer to?2)What is James Madison referring to when he says our government is "obliged to control itself?3)What example can you come up with of how checks and balances are seen in our government today?4)Explain "Checks and Balances" in your own words. What Enlightemeat thinker came up with this idea? a client with myocardial infarction suddenly becomes tachycardic, shows signs of air hunger, and begins coughing frothy, pink-tinged sputum. which finding would the nurse anticipate when auscultating the client's breath sounds? Which of the following would wise parents do as their adolescent children push for control?a. Let their children control areas of their lives where they can make reasonable decisions. b. Monitor but not interfere in their children's lives. c. Let the children have primary control over important decisions in their lives. d. There is no rule for this situation; each family must decide what is best for themselves in their own unique circumstances. Why is knowing your audience the foundation for a successful presentation?It allows you to connect and engage with them.It allows you to share some of the presentation prep tasks with them.It allows you to research their beliefs beforehand.It allows you to choose the right font for your presentation. Suppose that the functions and are defined as follows.Find the following. Which describes a council-manager form of government in Washington?A mayor appoints department heads and handles daily operations.A city council appoints department heads and handles daily operations.A city council appoints a city manager who handles daily operations.A city manager appoints a city council that handles daily operations. an eight-year bond paying coupons annually has a yield of 12% and a duration of 7.198 years. if the bond's yield changes by 50 basis points, what is the percentage change in the bond's price? (input the value as a positive value. do not round intermediate calculations. round your answer to 2 decimal places.) HELP!!! What made the story of imperialism in Africa differentwhat were its unique experiences? (answer in 3-4 sentences). 20. Which of the following products could form in a chemical reaction between sulfuric acid andcalcium carbonate? Use the models they provided to complete the chart below. how many tightly bound molecules could a single ray of frequency 2.77 x 1020 hz break apart? the binding energy of such a molecule is 10 ev. your answer should be a number with two decimal places in the form: n x 105, indicate only n. if a rational behavior style customer makes intermittent eye contact, a service strategy you may want to use is to Explain the relationship between cancer, cell cycle checkpoints, andapoptosis. what advances in journalism took place in the 1840s? now the switch is closed, and you wait for a long time. how much electric charge does the capacitor store now? depressants are ________ of the gaba neurotransmitter, which has a quieting effect on the brain. True or false: The associative property is used on the following expression: 2 + 3 = 3 + 2. if its false what is the answer