PLS HELP QUESTION ATTACHED

Solution :

Colored marble            Prize

     Red ----  10               20

    Blue --- 38                 10

   Green --- 26               5

P(red)  =  10/74  =  5/37

P(blue)  =  38/74  =  19/37

P( green)  = 26/74  =  13/37

Therefore,

 X      →     Red          Blue      Green

P(X)           5/37        19/37      13/37

The expected values are :

[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]

= -4.189

Thus it is not profitable to play the game.

Answer:

b<4

Step-by-step explanation:

- 3b-5> - 8 or b - 4 < 0

Solve the first inequality

- 3b-5> - 8

Add 5 to each side

- 3b-5+5> - 8 +5

-3b> -3

Divide by 3, flipping the inequality

-3b/-3 < -3/-3

b <1

Then solve the second inequality

b-4<0

Add 4 to each side

b<4

Put them back together

b<1 or <4

Merge them since they overlap

b<4

Answer:

Option 4.

Step-by-step explanation:

Tan(X)=perpendicular/base

Tan(X)=48/14

X=arctan(48/14)=74

Answer:

Step-by-step explanation:

x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:

[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get

[tex]x^2 =18225[/tex] so

x = [tex]\sqrt{18225}[/tex] and

x = 135

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting [tex]r=9,t=3[/tex] in the above formula, we get

[tex]I=\dfrac{P\times 9\times 3}{100}[/tex]

[tex]I=\dfrac{27P}{100}[/tex]

[tex]I=0.27P[/tex]

We know that,

[tex]\text{Amount}=\text{Principal + Interest}[/tex]

[tex]9144=P+0.27P[/tex]

[tex]9144=1.27P[/tex]

Divide both sides by 1.27, we get

[tex]\dfrac{9144}{1.27}=P[/tex]

[tex]7200=P[/tex]

Therefore, the principal value is Rs. 7200.

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

Answer:

Lateral surface area= circumference*height

120=12*h

h=10cm

Answer:

h=10 cm

Step-by-step explanation:

cicumference of a circle C=2πr=12

lateral surface area of cylinder=2πrh

120=12h

h=120/12=10 cm

Answer:

The midpoint of the data when it is arranged in order.

Step-by-step explanation:

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the median of the following set of numbers is 5

1, 2, 5, 10, 20

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Answer:

Step-by-step explanation:

Let the number of apples given to his friends = x

To represent the number of apples Johnny has, subtract the apples given to his friends from 14

Number of apples with Johnny = 14 - x

Answer:

I would say it is D

Step-by-step explanation:

Answer:

dont understand clearly

Step-by-step explanation:

dont understand clearly

Answer:

(26/9 , -7/9)

Step-by-step explanation:

Here,

let the points be

X(-1,7) = (x1, y1)

Y(4,-3) = (x2,y2)

and let the ratio be...

m:n = 7:2

and.. let the point that divides the line be

P(x,y)

now using the section formula for internal division..

P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )

= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )

= ( 26/9 , -7/9 )

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

[tex]s^2+10s+25=s^2+895[/tex] and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

Answer:

(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)

=3(x-4y)÷(x-8y)

Answer:

D. 7

Step-by-step explanation:

I guessed on it because i had the same problem and then i checked and it was right!

Step-by-step explanation:

where the model step by step explanation

Answer:A(1,-5)

B(6,-8)

Step-by-step explanation:

Answer:

3/40 cup

Step-by-step explanation:

3 1/3 =10/3

10/3 to 1 is 1/4 to x

i then proceeded to use the butterfly method to find the answer

Answer:

y = 4

Step-by-step explanation:

[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]

Answer:

y = 4

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

y = 4

Answer:

C

Step-by-step explanation:

g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.

f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.

The answer is c

Answer:

hwukebhejsnsknbjbbjkkkkkkkk

We shall proceed in hit and trial method

Find some nearest multiples of 252

Yes last one is square of 42

So smallest no is 7

Answer:

A = 16 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )

Then b = 4 and h = 4 , so

A = 4 × 4 = 16 units²

Answer:

it would be line to zero slope that's all I can do for u pal maybe..

Answer:

[tex]5 \sqrt{2} [/tex]

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

[tex]h \: = 24d[/tex]

Answer: Rs 5000 sum of money amount to Rs 6000 in two years at the rate of 10% per annum.​

Step-by-step explanation:

Amount = Rs 6000

T = 2 year

R = 10%

So

I = A-P

so

I = PTR/100

or, A-P = (P*2*10)/100

or, 6000-P = 20P/100

or, 600000-100P = 20P

or, 600000 = 120P

or, P = 600000/120

so, P = Rs 5000

REASONS:-

1ST STEP

[tex]6x + 7 = 8x - 17 [/tex]

GIVEN LHS = RHS

2ND STEP

[tex]7 = 2x - 17[/tex]

Bez +ve 6x when move to another side will change to -ve so it reduces 8x to 2x

3RD STEP

[tex]24 = 2x [/tex]

Bez -ve 17 when move to another side will change to +ve so it increases 7 to 24

4TH STEP

[tex]12 = x[/tex]

Bez 2 in multiplication when move to another side will change to division so it reduces 24 to 12

5TH STEP

[tex]x = 12[/tex]

it the answer we obtained after solving

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2