The ages of Sohail, Afzal and Bilal are 17, 16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?

Answer:

B. 196^1/2

C. 14

Step-by-step explanation:

Square root of 196=14

196^1/2=14

Answer:

[tex]Pr = 0.059049[/tex]

Step-by-step explanation:

Given

[tex]p = 0.9[/tex] --- probability of scoring

Required

Probability that his first miss is his 6th shot

Let q represent the event that he did not score.

Using complement rule:

[tex]q = 1 - p = 1 - 0.9 = 0.1[/tex]

The event that his first miss is his 6th is represented as:

p p p p p q ---- That he scoress the first 5 attempts

So, the probability is:

[tex]Pr = p^5 * q[/tex]

[tex]Pr = 0.9^5 * 0.1[/tex]

[tex]Pr = 0.059049[/tex]

Answer:

domain: (-∞  ,∞)

range: (2,∞ )

Step-by-step explanation:

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]

Then the total surface area for 200 cylinders will be:

[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

[tex]\displaystyle V=\pi r^2h[/tex]

Since r = 1.2 and h = 6.4:

[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]

Thus, approximately 4895 containers can be filled.

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

Step 1: Distribute

5x + 10 - 3x > 7 - 4x + 12

Step 2: Combine like terms

2x + 10 > -4x + 19

Step 3: Move all variable terms to one side, and all constants to the other

6x + 10 > 19

6x > 9

Step 4: Divide

x > 9 / 6

x > 1.5

Hope this helps!

Answer:

Step-by-step explanation:

Equations

x + y = 29

x^2 + y^2 = 425

Solution

y = 29 - x

x^2 + (29 - x)^2 = 425

x^2 + (841 - 58x + x^2 ) = 425

x^2 - 58x + x^2 + 841 - 425 = 0

2x^2 - 58x +416 = 0

a = 2

b = - 58

c = 416

You get two answers that look valid

2x^2 - 58x + 416 = 0

x^2 - 29x + 208 = 0           This factors

(x - 16)(x - 13) = 0

x = 16

y = 13

Now check it

16^2 + 13^2 = ? 425

256 + 169 =  425

Answer:

i don't understand the question

Answer:

114 hamburger

Step-by-step explanation:

456:4=114

the cheeseburger sold 3 times than the hamburger so 3+1=4

456:4 =114

Answer:

1st box is -4

2nd box is -4

3rd box is 3

4th box is -1

Answer: 15x squared -4x-3

rewrite the expression

15x squared + 5x-9x-3

factor the expressions

5x × (3x+1)-3(3x+1)

factor the expression

solution

(3x + 1) × (5x - 3)

Answer: (-1, 2)

Step-by-step explanation:

Let's start by solving for x in

[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]

We can now sub this value of x in 3x+5y=7 and solve

[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]

Now we can sub in 2 for y in one of the equations

[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]

x=-1 and y=2 giving us the point (-1, 2)

Answer:

Step-by-step explanation:

The formula to find the midpoint of a segment is

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the midpoint and we also have a coordinate of (5, 4). Let's let x₁ = 5 and y₁ = 4. Filling in what we have:

[tex](2,1)=(\frac{5+x_1}{2},\frac{4+y_2}{2})[/tex] and we'll deal with the x terms first. The x coordinate of the midpoint is 2, so:

[tex]2=\frac{5+x_2}{2}[/tex] and multiply both sides by 2 to get rid of the denominator to get:

4 = 5 + x₂ so

x₂ = -1. Going on to the y coordinate. The y coordinate of the midpoint is 1, so:

[tex]1=\frac{4+y_2}{2}[/tex] and again multiply both sides by 2 to get rid of the denominator to get:

2 = 4 + y₂ so

y₂ = -2

The coordinates of T are (-1, -2)

Answer:

A

Step-by-step explanation:

because y-intercept is when x=0, so right on the y axis.

Answer:

52.95x + 39.95(12)

Step-by-step explanation:

Answer:

52.95 x + 39.95 (12)

Step-by-step explanation:

cost per movie = 52.95

a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12

the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x

Answer:

The probability is 1/24

Step-by-step explanation:

The total number of possible arrangements is;

4! = 4 * 3 * 2 * 1 = 24

Now, out of all these, there is only one possible correct alphabetical arrangement

so, to get this probability, we have to divide 1 by the total number of possible arrangements

we have this simply as 1/24

Answer:

see image

Step-by-step explanation:

Answer:

x = –1

Step-by-step explanation:

From the question given above, the following data were obtained:

y = √(–2x + 7)

y = 3

x =?

The value of x can be obtained as follow:

y = √(–2x + 7)

3 = √(–2x + 7)

Take the square of both side

3² = –2x + 7

9 = –2x + 7

Collect like terms

9 – 7 = –2x

2 = –2x

Divide both side by –2

x = 2 / –2

x = –1

Answer:

Average speed = [tex]\frac{(x+y)}{2}[/tex] miles per hour

Step-by-step explanation:

Formula to calculate the average speed of an object is,

Average speed = [tex]\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}[/tex]

If I travel with the speed of x mph for t hours,

Total distance covered = Speed × Time

                                       = [tex]x\times t[/tex]

                                       = [tex]xt[/tex] miles

Similarly, if I travel with the speed y mph for t hours,

Total distance covered = [tex]yt[/tex] miles

Total distance covered by me = [tex](xt+yt)[/tex] miles

Total time taken to cover this distance = [tex]t+t[/tex]

                                                                 = [tex]2t[/tex] hours

Therefore, expression for the average speed will be,

Average speed = [tex]\frac{xt+yt}{2t}[/tex]

                          = [tex]\frac{(x+y)t}{2t}[/tex]

                          = [tex]\frac{x+y}{2}[/tex] miles per hour

Answer:

19

Step-by-step explanation:

(3-2)(3^2+3x2+2^2)

(1)(9+6+4)

(1)(19)

[tex]\displaystyle\bf \underbrace{ (x-y)(x^2+xy+y^2)}}_{x^3-y^3}=3^3-2^3=19\\\\Answer: b)19[/tex]

Answer:

D

Step-by-step explanation:

because 3x - 12y = 15 has only numbers that are divisible by 3 leaving just one single x term, and the other terms simply reduce their used numbers to still integer numbers (4 and 5).

this makes it easier to be used in the other equation.

Answer:

a) negative reciprocals

Step-by-step explanation:

Answer:

22,999 feets

Step-by-step explanation:

Given the solution diagram attached,

The altitude, h of the plane can be solved using trigonometry :

Using :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 47440

Sin 29 = h / 47440

h = 47440 * sin29

h = 22999.368

h = 22,999 feets

Answer:

$610.70

Step-by-step explanation:

[tex]a = pe^{rt}[/tex]

a = 500 [tex]e^{.05 * 4}[/tex]

a = $610.70

Answer:

P = $80

Step-by-step explanation:

I = P*r*t

P = I/rt

Where,

simple interest, I = $20

Interest rate, r = 5%

Time, t = 5 years

P = I / rt

= 20 / 5% * 5

= 20 / 0.05 * 5

= 20 / 0.25

= 80

P = $80

Answer: [tex]55,811.91[/tex]

Step-by-step explanation:

Given

Principal amount is 25,000

Time Period is [tex]t=15\ yr[/tex]

Rate of interest [tex]r=5.5\%[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P\left(1+r\%\right)^t[/tex]

Insert the values

[tex]\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91[/tex]

Therefore, [tex]55,811.91[/tex] must be paid back

Answer:

[tex]h = 6 + 11 - 22 \\ h = 17 - 22 \\ h = - 5[/tex]

Answer:

-5

Step-by-step explanation:

6+11 = 17↓

17-22 = -5

or

11-22 = -11↓

-11+6 = -5

Answer: 4) 2.6 cm

Step-by-step explanation:

Because if the lateral area is 86 and the radius is 18, then the slant height is around 2.6