A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?

P(Y and R) = StartFraction (8 P 1) (5 P 1) Over 25 P 2 EndFraction
P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
P(Y and R) = StartFraction (1 C 8) (1 C 5) Over 2 C 25 EndFraction
P(Y and R) = StartFraction (1 P 8) (1 P 5) Over 2 P 25 EndFraction

Answer:

[tex](a,b) \ne (7,-9)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = ax + b[/tex]

[tex]Interval = [0,4][/tex]

[tex]Area = 16[/tex]

Required

[tex]a, b \ne[/tex]

The area is calculated as:

[tex]Area = \int\limits^a_b {f(x)} \, dx[/tex]

So, we have:

[tex]Area = \int\limits^4_0 {(ax + b)} \, dx[/tex]

Integrate

[tex]Area = (\frac{ax^2}{2} + bx)|\limits^4_0[/tex]

Expand

[tex]Area = [(\frac{a*4^2}{2} + b*4)] - [(\frac{a*0^2}{2} + b*0)][/tex]

[tex]Area = [(\frac{a*4^2}{2} + b*4)][/tex]

[tex]Area = 8a+ 4b[/tex]

This gives:

[tex]8a + 4b = 16[/tex]

Divide through by 4

[tex]2a + b = 4[/tex]

From the list of options, the possible values of a and b are:

[tex](a,b) = (-2,8) \to 2 * -2 + 8 = 4[/tex]  

[tex](a,b) = (1,2) \to 2 * 1 + 2 = 4[/tex]

[tex](a,b) = (3,-2) \to 2 * 3 -2 = 4[/tex]

[tex](a,b) = (5,-6) \to 2 * 5 -6 = 4[/tex]

The odd one is:

[tex](a,b) = (7,-9) \to 2 * 7 -9 = 5[/tex]

Hence:

[tex](a,b) \ne (7,-9)[/tex]

Answer:

economic development that is conducted without depletion of natural resources.

Step-by-step explanation:

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

Answer:

op 2

Step-by-step explanation:

the Answer is b

hope this helps

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

Answer:

15mm x 10mm = 150mm

Step-by-step explanation:

By applying Pythagoras theorem,we get

(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(7)^2+(4)^2

=>(h)^2=49+16

=>(h)^2=65

=>h=√65

Therefore, option B is correct,i.e.,√65

Answer:

Square root of 65 units

Step-by-step explanation:

This is the correct answer

Answer:

ugh

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

First, let's sum up the ratio.

Sum the ratios = 6 + 2 + 3 = 11

We can make y the total number of boots sold together last month

If 24 pairs of boots were sold, then the equation would be

6/11 × y = 24

Cross multiply

6 × y = 24 × 11

6y = 264

y = 44

Therefore, total number of boots sold altogether last month were 44

Answer:

ace

Step-by-step explanation:

Answer:

evaluate parenthesis first:

67/100(consider 67% out of 100) x 119 = 79.73

Answer:

79.73

Step-by-step explanation:

First, it would be finding 67% of 119

Then we find 10% = 11.9   and 1% = 1.19

The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33

Then add 71.4 and 8.33 to get the answer of 79.73.

Answer:

V≈67958.90

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]V=\pi r^{2}h\\V=\pi *26^{2} *32[/tex]

Answer:

-2x^9

Step-by-step explanation:

-2x^6-(-3) = -2x^9

Answer:

7

Step-by-step explanation:

Answer:

56 inches squared

Step-by-step explanation:

(4x6) ÷ 2 = 12

12 x 4 = 48

4 x 4 = 16

48 + 16 = 56

Answer:

14(−3a+4b+6c+3) is the answer

Answer:

2( the thingy and inside) 14x

Answer:

0.75≠100.4

Step-by-step explanation:

Answer:

The perimeter of the garden = 46 ft

Step-by-step explanation:

The exact question is as follows :

Given - John is putting a fence around his garden that is shaped like a half circle and a rectangle.

A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.

To find - How much fencing will John need? Use  22 over 7 for Pi.

A. 32 ft

B. 39 ft

C. 46 ft

D. 57 ft

Solution -

The figure is as follows :

The perimeter of the garden is equal to sum three sides of the rectangle plus the circumference of a semicircle

Now,

Given that,

Length of Rectangle = 14 feet

Breadth of Rectangle = 7 feet

Now,

Sum of three sides of Rectangle = 14 + 14 + 7

                                                    = 35

Now,

Circumference of Semicircle = (1/2)[tex]\pi[/tex] D where D is the diameter

So,

Circumference of Semicircle = (1/2)(22/7)(7)

                                                = 11

⇒Circumference of Semicircle = 11

So,

The perimeter of the garden = 35 + 11

                                                = 46 ft

⇒The perimeter of the garden = 46 ft

Answer:

maybe 36

Step-by-step explanation:

3 shirts 4 pants 3 shoes it maybe 3*4*3

Answer:

(3,4) is the solution of both equations.

Step-by-step explanation:

The given equations are :

3x – 2y = 1 ....(1)

4y = 7+3x

4y-3x = 7 .....(2)

Put x = 3 and y = 4 in equation (1).

3(3) – 2(4) = 9-8

= 1

So, (3,4) is the solution of the equation (1).

Again put x = 3 and y = 4 in equation (2).

4(4)-3(3) = 16-9

= 7

Hence, (3,4) is the solution of both equations.

Answer:

75

Step-by-step explanation:

Let x = number thought of

(x + 2) / 7 = 11

multiply both sides of the equation by 7

11 x 7 = x+ 2

collect like terms

77 - 2 = x

x = 75

Answer:

Area: 200.96

Circumference: 50.24

Step-by-step explanation:

We know r (radius)=8

A=πr^2

A=π8^2

A=64π or 200.96

C=2πr

C=2π(8)

C=16π or 50.24

find simple interest

Rs.6500 for 2years 3months at

6percent per annum

To find the simple interest , We'd use the following formula:-

.°.

S.I = 65×13.5

S.I = Rs.877.50

Hope it helps

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Answer:

A bar graph is the best graph to use

Answer:

2/7

Step-by-step explanation:

The probability of getting tails is 1/2 or 50%;

There are 7 tiles, 4 of them are blue; getting a blue tile has a 4/7 probability.

Multiply the fractions:

1/2*4/7= 4/14 or 2/7