A jet and a light plane leave the same airport at the same time and travel in opposite directions at 960 km/h and 560 km/h, respectively. In how many hours will they be 4560 km apart?

Answer:

33%

Step-by-step explanation:

The probability that a card is a Jack, given that it is a face card, can be expressed as the conditional probability:

P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator P left parenthesis J a c k space a n d space F a c e right parenthesis over denominator P left parenthesis F a c e right parenthesis end fraction

The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities.

The probability of a face card is12 over 52 as there are a total of 12 face cards in a deck of cards.

So the probability of a card being a Jack given that it is a face card is:

P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator begin display style bevelled 4 over 52 end style over denominator begin display style bevelled 12 over 52 end style end fraction equals 4 over 12 equals 0.33 equals 33 percent sign.

Given that,

In a well-shuffled, standard 52 card deck,

We have to determine,

What is the probability that a card is a Queen, given that it is a black card?      

According to the question,

There are 52 card decks,

Let, the card being a jack is A and the card being a face card is B,

[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}[/tex]

Then,

The probability of the card is a jack and a face card:

[tex]\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}[/tex]

All jacks are face cards.

And the probability of there being a face card is,

[tex]\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}[/tex]

There are 12 face cards in a deck.

Therefore,

The probability of a card being a jack given that it is a face card is,

[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\[/tex]

Convert the probability of a card being a jack given that it is a face card into a percentage,

[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent[/tex]

Hence, The probability of a card being a jack given that it is a face card is, 33%.

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Answer:

a) 45 g

b) greater (make the graph youself on desmos or something)

c) 9/4

Step-by-step explanation:

area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9

mass = density * area = 5 * 9 = 45 grams

area = y*deltax = x^2*deltax

x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4

Answer: 40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

just subsitute and when their all sticking together it’s automatically multiplication.

8(2) - (8)(-3)

16- - 24

16+24

40

Answer: (a) = b,  49/64

Step-by-step explanation:

Answer:

The answer is 3.8 and 2.5

Step-by-step explanation:

Lol

Answer:

Step-by-step explanation:

The quadratic factors into (x + 4)(x + 2) When you remove the brackets, you get

x^2

2x

4x

8

They are all added and the 2x and 4x combine to get 6x.

Answer:

F (x) = x^2 + 6x+8 = F = x + 6 + [tex]\frac{8}{x}[/tex]

Step-by-step explanation:

Move all the expressions to the left side of the equation.

F(x)−x2−6x−8=0

Multiply F by x.

Fx−x2−6x−8=0

Move all terms not containing F to the right side of the equation.

Fx=x2+6x+8

Divide each term by x and simplify.

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

I hope this helps.

Answer:

73

Step-by-step explanation:

180-107=73

angle 1 is congruent to angle 3 which is 107 degrees

Answer:True

Step-by-step explanation:

Answer:

Question 1: Yes

Question 2: Ralph

Step-by-step explanation:

[tex]\frac{3}{4} +\frac{2}{3} +\frac{3}{4} = 2\frac{1}{6}[/tex]

[tex]10.38 < 10.6[/tex]

Answer:

221  I am sorry if I am wrong. I tried

Step-by-step explanation:

Step-by-step explanation:

4x +8=-12 is the answer

Answer:

3

Step-by-step explanation:

Answer:

Depending on what form you want it in:

Exact Form:

41/24

Decimal Form:

1.708  3

.. (3 is infinite)

Mixed Number Form:

1  17/24 (The 1 in front is supposed to be a whole)

Step-by-step explanation:

5/6 + 7/8

First, you must make both denominators equal a same number.

6 x _ = 8 x _

The same number but also the least is least common denominator is 24.

4 (5/6) + (7/8) 3

20/24 + 21/24

= 41/24

Answer:

5

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Substitute the values of the variables into the equation. Good luck on your math journey!

The solution is Option A.

The slope of the equation is given by slope m = -6

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

The values of x = { -2 , -1 , 0 , 1 , 2 }

The value of y = { 8 , 2 , -4 , -10 , -16 }

Now , let the first point be represented as P

The coordinates of P = P ( -2 , 8 )

Let the second point be represented as Q

The coordinates of Q = Q ( -1 , 2 )

Now , the slope of the line between the two points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 8 ) / ( -1 - ( - 2 )

On simplifying the equation , we get

Slope m = ( -6 ) / ( -1 + 2 )

Slope m = -6/1

Slope m = -6

Therefore , the value of m is m = -6

Hence , the slope of the line is m = -6

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Answer:

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

Step-by-step explanation:

Solution:

Suppose grade breakdown for certain college course is as follow:

Homework = 15%

Quizzes = 20%

Project = 10%

Test = 40%

Final exam= 15%

Let G represent the final grade

H represents homework average,

Q represents quizzes and P represent project, T represent test average and F represent final exam.

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

Answer:

(4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))

Step-by-step explanation:

Simplify the following:

(x^2 + x - x - 20 - 12/x^2)/((15 x^2)/4 + 3 x^2 - 24 x - 60 - 48)

Hint: | Put the fractions in x^2 + x - x - 20 - 12/x^2 over a common denominator.

Put each term in x^2 + x - x - 20 - 12/x^2 over the common denominator x^2: x^2 + x - x - 20 - 12/x^2 = x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2:

(x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)

Hint: | Combine x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 into a single fraction.

x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 = (x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2:

((x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)

Hint: | Group like terms in x^4 + x^3 - x^3 - 20 x^2 - 12.

Grouping like terms, x^4 + x^3 - x^3 - 20 x^2 - 12 = x^4 - 20 x^2 - 12 + (x^3 - x^3):

(x^4 - 20 x^2 - 12 + (x^3 - x^3))/(x^2 ((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48))

Hint: | Look for the difference of two identical terms.

x^3 - x^3 = 0:

((x^4 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)

Hint: | In (45 x^2)/12, the numbers 45 in the numerator and 12 in the denominator have gcd greater than one.

The gcd of 45 and 12 is 3, so (45 x^2)/12 = ((3×15) x^2)/(3×4) = 3/3×(15 x^2)/4 = (15 x^2)/4:

(x^4 - 20 x^2 - 12)/(x^2 (15 x^2/4 + 3 x^2 - 24 x - 60 - 48))

Hint: | Put the fractions in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over a common denominator.

Put each term in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over the common denominator 4: (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 = (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4:

(x^4 - 20 x^2 - 12)/(x^2 (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4)

Hint: | Combine (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 into a single fraction.

(15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 = (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4:

(x^4 - 20 x^2 - 12)/(x^2 (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4)

Hint: | Group like terms in 15 x^2 + 12 x^2 - 96 x - 240 - 192.

Grouping like terms, 15 x^2 + 12 x^2 - 96 x - 240 - 192 = (12 x^2 + 15 x^2) - 96 x + (-192 - 240):

(x^4 - 20 x^2 - 12)/(x^2 ((12 x^2 + 15 x^2) - 96 x + (-192 - 240))/4)

Hint: | Add like terms in 12 x^2 + 15 x^2.

12 x^2 + 15 x^2 = 27 x^2:

(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + (-192 - 240))/4)

Hint: | Evaluate -192 - 240.

-192 - 240 = -432:

(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + -432)/4)

Hint: | Factor out the greatest common divisor of the coefficients of 27 x^2 - 96 x - 432.

Factor 3 out of 27 x^2 - 96 x - 432:

(x^4 - 20 x^2 - 12)/(x^2 (3 (9 x^2 - 32 x - 144))/4)

Hint: | Write ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) as a single fraction.

Multiply the numerator by the reciprocal of the denominator, ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) = (x^4 - 20 x^2 - 12)/x^2×4/(3 (9 x^2 - 32 x - 144)):

Answer: (4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))

Answer: less

Step-by-step explanation:

If 100% of 10 is 10, we multiply 10 by 5 to get 500%.

10 x 5 = 50

500% of 10 will be equal to the number 50.

The answer is less.

Answer:

14. 24    20. 9

15. 26    21.  -1

16. -4     22. 6

17. 2      23. 6

18. -7     24. 3x +5

19. 42    25. 9b^2 - 3b

Answer:

Directions: Write the name and composition of the following composer/s below. Space provided for your answer.

Answer:

2.0833333 or 25/12

Step-by-step explanation:

multiply each number of magazines by the frequency

0*13=0

1*9=9

2*19=38

3*8=24

4*5=20

5*2=10

6*4=24

Then add them all up,

9+38+24+20+10+24=125

Since there are 60 households, divide by 60

125/60= 2.083333 or 25/12

Answer:

900 people

Step-by-step explanation:

.36x=324

×=324÷.36

x=900

900 people were in the survey.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

324 indicated that they regularly work more than 45 hours a week.

and  36% of those surveyed.

let the total people surveyed be x

36% of x= 324

36 x/100 = 324

36 x = 32400

x= 32400 / 36

x= 900

Hence, total 900 people are surveyed.

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Answer:

c = $35 + $0.23m

Step-by-step explanation:

The expression is c = $35 + $0.23m

c is the cost of nadya's bill

m is the additional minutes

so if she uses more than 200 minutes the cost of her bill wiil be

$35 plus $0.23 multiply by the number of extra minutes spent.

Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question:

Our word problem could.

The relationship between weight of Jim's dog and John's dog is shown below.

a. Calculate the weight of John's dog?

b. Calculate the difference in weight of both dogs?

Solution:

a. Weight of John's Dog

Given

Represent John's dog with J and Jim's dog with D

[tex]J = 16.23\ lb[/tex]

From the attachment, we can see that.

[tex]D = \frac{1}{3} * J[/tex]

[tex]D = \frac{1}{3}J[/tex]

To solve for D, substitute 16.23 for J

[tex]D = \frac{1}{3} * 16.23[/tex]

[tex]D = 5.41[/tex]

Hence: Jim's Dog is 5.41lb

b. Difference in Weight

Difference is calculated as thus:

[tex]Difference = J - D[/tex]

[tex]Difference = 16.23 - 5.41[/tex]

[tex]Difference = 10.82[/tex]

Answer:

4/7

Step-by-step explanation:

there are 7 shapes in total, 4 of them are hexagons.

Answer:

She drove 384 miles, because 48 x 8 = 384! :)

Step-by-step explanation:

The distance driven by krista is 384 miles.

If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Given;

       speed = 48 miles per hour

       time = 8 hours

Speed= distance/time

           distance= speed x time

                          = 48 x 8

                           = 384 miles

Krista drove 384 miles of distance in 8 hours.

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Answer:

they are all right next to eachother

Answer:

angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)

so if angle 7 is 115° so are 6, 3, and 2

so the measure of angle 2 is 115°

Step-by-step explanation:

give the first person brainliest

Answer:

3/4 and 2/3....different denominators.....common denominator is 12