A carton contains 20 shirts , of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4 , find the value of q.

Answers

Answer 1

Answer:

The value of q = 11

Step-by-step explanation:

Number of pure cotton shirts = [tex]\frac{4+q}{20}[/tex]

Probability of drawing pure cotton shirts = [tex]\frac{4+q}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Substituting the above problem = 4(4 + q) = 3 x 20

                                                     =  16 + 4q = 60

                                                     = 4q = 60 - 16 = 44

                                                     = q = [tex]\frac{44}{4}[/tex]

∴ q = 11


Related Questions

Find the area of the shaded region. Can I have the steps explained please?

Answers

Answer:

76.3 cm²

Step-by-step explanation:

step 1

area of circle= πr²= 3.14*5²= 78.6 cm²

step 2

area of 60° sector= 60/360*area of circle= 1/6*78.6= 13.1 cm²

step 3

Area of equilateral triangle = √3/4a²= √3/4*5²= 10.83 cm²

step 4

Area of circle - area of sector + area of triangle=  78.6 - 13.1 + 10.8= 76.3 cm²

Is the real number rational or irrational? rational irrational

Answers

Answer:

rational

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

A real number is rational.

Gisele worked as a carpenter for how many hours and worked as a blacksmith for how many hours last week? please help

Answers

Answer: She worked as a carpenter for 12 hours and a blacksmith for 18 hours.

Step-by-step explanation:

18*25 = 450

12*20 = 240

240 + 450 = 690

12 + 18 = 30.


I need help .... can y’all help me

Answers

6. C.

7. B.

8. B.

9. B.

10. C

YEAR 9 MATHS- PLEASE HELP
The shape A has been reflected on the line drawn to give shape B.
State the equation of the line.

Answers

Answer:

y=2

Step-by-step explanation:

since the line is horizontal, on the point 2 on the y axis, the equation is 2. If, however the line were to be diagonal, it would have been different, as would it if the line were vertical(in which case, the equated would start x =)

Hope this helps

Answer: y =2

Step-by-step explanation:

Daniel, Clarence, and Matthew split a $20.20 dinner bill so that Daniel pays half of what Clarence pays. If Daniel pays $6.06, what is the ratio of Clarence's pay to Matthew's pay?

Answers

Answer:

grgrtgdegtrt

Step-by-step explanation:

etetetetrdgtfrrgdergdrg

Dr.Chavez drew a rectangle on a coordinate plane to estimate the size of a lake. Each unit represents 1 mi. The coordinates of the rectangle are the origin, (0,7.65), (12.8, 7.65) and (12.8,0). Based on the information, what is the perimeter of the lake?

Answers

Answer:

40.9 mi

Step-by-step explanation:

The four points will make the rectangle, and each pair of points in sequence will create a side of the rectangle. So, to find the length of each side, we need to find the distances between each pair of points in sequence:

distance between (0,0) and (0, 7.65) -> |7.65 - 0| = 7.65 mi

distance between (0,7.65) and (12.8, 7.65) -> |12.8 - 0| = 12.8 mi

distance between (12.8, 7.65) and (12.8, 0) -> |0 - 7.65| = 7.65 mi

distance between (12.8, 0) and (0, 0) -> |0 - 12.8| = 12.8 mi

So the perimeter is 7.65 + 12.8 + 7.65 + 12.8 = 40.9 mi

Answer:

40.9 mi

Step-by-step explanation:

will make it simple and short

in a surveying measurements with coordinates, we always take it from the Zero. So each coordinates must be subtracted from Zero to get the length of each point.

therefore the perimeter = 0 + 7.65 + 12.8 + 7.65 + 12.8 + 0 = 40.9 mi

Which expression can be used to find the sum of the polynomials? (9 – 3x2) + (–8x2 + 4x + 5)

Answers

Answer:

- 11x² + 4x + 14

Step-by-step explanation:

Given

(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1

= 9 - 3x² - 8x² + 4x + 5 ← collect like terms

= - 11x² + 4x + 14 ← sum of the polynomials

Answer:

D.)[(-3x^2)+(-8x^2)]+4x+[9+5]

Step-by-step explanation:

The reason this is right is because I took the quiz.

The interior angles of a triangle are 42°,56° and 2x°. Find the value of x.

Answers

Answer:

41 degrees

Step-by-step explanation:

Since the sum of the interior angles of a triangle will always be 180 degrees:

42+56+2x=180

2x=82

x=41

Hope this helps!

Answer:

X=41°

[tex]solution \\ 42 + 56 + 2x = 180(sum \: of \: angle \: in \: triangle) \\ or \: 98 + 2x = 180 \\ or \: 2x = 180 - 98 \\ or \: 2x = 82 \\ or \: x = \frac{82}{2} \\ x = 41[/tex]

hope this helps...

Good luck on your assignment...

The day after her birthday party 1/3 of Emma’s birthday cake is left is the remaining cake is shared equally among Emma her brother Owen and their mother and father what fraction of the original Kikoo each of them get

Answers

Answer:1/4

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/3 ÷ 4

1/3 x 1/4 = 1/12

What’s the answer to this ??

Answers

Answer:

Option C

Step-by-step explanation:

zero's are

(2, 0) and (0, -2)

y= x-2, x<3

(3, 2) and (4,3)

y=x-1, x≥3

These are covered in Option C

factorise 32 x cube minus 8 y square​

Answers

Answer: [tex]8(4x^3-y^2)[/tex]

Step-by-step explanation:

[tex]32x^3-8y^2[/tex]

[tex]8(4x^3-y^2)[/tex]

Find the surface area of a cylinder with a diameter of 4 cm, and a height of
8 cm. (use 3.14 for Pi) *

Answers

Answer:

125.66

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20
what is the answer please help me .....!!!!

Answers

Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

Suck at maths! HELP!

Answers

Answer:

Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.

A=50
Explanation as it is an isosceles triangle it ads up to 180
65+65=130
180-130=50

The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?

Answers

Answer:

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

Answer:

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

What is the vertical asymptote for the reciprocal of y=8x-4

Answers

Answer:

The vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given Equation : [tex]y = 8x-4[/tex]

Reciprocal of given equation =[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]

Now to find the vertical asymptote

[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]

Equate denominator to 0

8x-4=0

8x=4

[tex]x=\frac{4}{8}[/tex]

[tex]x=\frac{1}{2}[/tex]

So, The vertical asymptote is[tex]\frac{1}{2}[/tex]

Hence the vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]

May someone please help me with this question

Answers

Answer:

2+i or 2-i (D)

Step-by-step explanation:

First you use the quadratic formula.  X= (-b +/- [tex]\sqrt{b^{2}-4ac }[/tex])/2a

a=1

b=-4

c=5

X= (4 +/- [tex]\sqrt{16-20}[/tex])/2

X=(4 +/- [tex]\sqrt{-4}[/tex])/2

The square root of -4 is 2i.  i=√-1.  Therefore 2i= 2√-1 .If you simplify that, it becomes  √-4i.  

X= (4+/- 2i)/2

X= 2+/-i

X= 2+i or 2-i

How are the equations of a parabola, ellipse, and hyperbola created?

Answers

Answer:

ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.

(I'm sorry I got most of this from google) :(

which expression is equivalent to 7/12?

Answers

if i understand correctly what you mean by this question the answer could be

14/24

28/48

you can just keep multiplying the top and the bottom by the same number to get an equivalent fraction

im sorry if i understood the question wrong, i hope this helped a little bit

Disclaimer: The options are missing. The options to the question are:

A.7x1/12; B.7/7x12/12; C.1/7x7/12; D.12x1/7

The expression equivalent to 7/12 is 7x1/12. So, option A. is the right choice.

What are equivalent fractions?

Two fractions are said to be equivalent fractions when they both give the same value in their reduced or simplest form.

How do we solve the given question?

We are asked to find the expression equivalent to 7/12 from the given options.

To solve the question, we reduce all the options to their simplest form. The option = 7/12 will be our answer.

A. 7 * 1/12 = 7/12B. 7/7 * 12/12 = 1*1 = 1C. 1/7 * 7/12 = 1/12D. 12 * 1/7 = 12/7

As we can see only option A. 7 * 1/12 = 7/12 in its simplest form, so it is the right option.

Learn more about equivalent fractions at

https://brainly.com/question/875439

#SPJ2

The diameter of a bicycle wheel is 50 cm. How many complete rotations does it make over a distance of 3km?

Answers

Answer:

47.12388

Step-by-step explanation:

Wheel Diameter = Wheel 2 x Radius; 50 cm / 2 = 25 cm.

For one rotation of the wheel, the distance travelled = circumference of the wheel.

Circumference = 2 x pi x radius = 2 x 3.1415926858 x 25 cm = 157.07 cm approx.

Distance travelled with 30 turns of the wheel = 30 x 157.07 = 4712.39cm approx.

Distance in meters = 4712.39cm / 100 = 47.12388 meters approximate (1 cm = 1/100th of a meter).

hope it helps you

The requried bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

What is the circumference?

The circumference of the bicycle wheel is equal to its diameter multiplied by π (pi).

Here

Circumference = diameter x π = 50 cm x 3.14 ≈ 157 cm

To find the number of rotations, we need to divide the distance traveled by the circumference of one rotation:

Number of rotations = Distance ÷ Circumference

Number of rotations = 300000cm ÷ 157 cm = (3000 m ÷ 157 cm) ÷ (100 cm ÷ 1 m) = 1910.82

Therefore, the bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

Learn more about circumference here:

brainly.com/question/6465134

#SPJ3

cos (x/2) = -sqrt2/2 in (0,360) looking for two values ?? Can someone please help me I can’t seem to figure out how to solve this problem, I’m looking at other examples but I’m still confused please help

Answers

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)

Can somebody help me with this ?? :)

Answers

Answer:

(-3, -4)

Step-by-step explanation:

6 units down from point F will be x: 2, y: -4

5 units left from there will be x: -3, y: -4

how to find the distance from a velocity-time graph?

Answers

Answer:

Calculating the distance travelled

Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.

Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.

½ × base × height.

½ × 6 × 2 = 12 m 2

(10 – 6) × 2 = 8 m 2

Answer:

Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.

Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.

½ × base × height.

½ × 4 × 8 = 16 m 2

(10 – 4) × 8 = 48 m 2

Step-by-step explanation:

PLEASE HELP!!! this is really dependant on my final grade !

Answers

Answer:
x-intercept: (-2, 0)
y-intercept: (0, -2.5)

Explanation:
To solve this problem you must graph the equation. I attached an image of it graphed. There you can see the x- and y-intercepts.

Mary is paid 7.5% commission on all of her sales. She had sales of $2300 for the month of December. How much commission did Mary make?

Answers

Answer: $172.50

Step-by-step explanation:

$2300 x 0.075 = $172.50

You can double check quickly because you know 10% of 2300 is $230, so 5% is $115.  The answer is halfway between the 5% and 10% numbers, so you know it is reasonable.

Simplify 3x(2x + 4y)

Answers

Answer:

[tex]6x^2+12xy[/tex]

Step-by-step explanation:

By the distributive property:

[tex]3x(2x+4y)= \\\\3x(2x)+3x(4y)=\\\\6x^2+12xy[/tex]

Hope this helps!

A sequence is defined by the recursive function f(n + 1) = –10f(n). If f(1) = 1, what is f(3)?

Answers

Answer:

f(3) = 100

Step-by-step explanation:

Using the recursive formula and f(1) = 1 , then

f(2) = - 10 f(1) = - 10 × 1 = - 10

f(3) = - 10 f(2) = - 10  × - 10 = 100

Answer:

100

Step-by-step explanation:

use the discriminant to determine the nature of the roots of the quadratic equation

Answers

The given equation is in the form ax^2 + bx + c = 0, where

a = 2

b = -12

c = 18

Those a,b,c values are plugged into the discriminant formula below

d = b^2 - 4ac

d = (-12)^2 - 4(2)(18)

d = 144 - 144

d = 0

The discriminant is zero, so there is only one real root. This root is specifically a rational number.

Four different positive integers have a product of 110.
What is the sum of the four integers?

Answers

Answer:32.09

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

To Find Out What are the four Positive Integers, Let's Prime Factorize 110:

110 = 1 × 2 × 5× 11

This means these are the four positive integers by multiplying which results in 110.

Now, The sum of these integers:

=> 1+2+5+11

=> 19

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