if one card is picked at random from a deck of 52 cards which contains an equal amount of hearts, diamonds, clubs, and spades, the probability that it is a club is

Answer:

9.5

Step-by-step explanation:

The formula for interquartile range = Third Quartile - 1st Quartile

= Q3 - Q1

Looking at the histogram given, the class width = 6

Step 1

We find the number of values = n

n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1

= 123

Frequency Cumulative Frequency

1 1

12 13

26 39

27 66

31 97

19 116

6 122

1 123

Step 2

We find Q1 ( First Quartile)

Q1 =1/4 (n + 1) value

Q1 = 1/4(124) value

= 31st value

The first Quartile = 31st value

31 - 13 = 18

31st value = 12 + (18/26 × class width)

= 12 +( 18/26 × 6)

First Quartile = 16.153846154

Third Quartile =Q3 =3/4 (n + 1) value

Q1 = 3/4(124) value

= 93rd value

The first Quartile = 93rd value

93 - 66 = 27

93rd value = 1 + (27/97 × class width)

=24 +( 27/97 × 6)

Third Quartile= 25.670103093

Interquartile range = Q3 - Q1

= 25.670103093 - 16.153846154

= 9.5162569392

Approximately = 9.5

Inter Quartile range = 9.5

Answer:

y= 4x -15

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

The question is not complete, below is the complete question:

Suppose that a factory worker turns 62 years old and retires from her job. Which statistic is not affected? A. number of unemployed B. unemployment rate C. labor force D. labor-force participation rate

Answer:

The correct andwer is:

number of unemployed (A.)

Step-by-step explanation:

The terms highlighted in the options of the question refer to terms associated with the labour force of an economy. Let us take a look at each of them and justify why we chose the option A

1. Number of unemployed: The number of unemployed in an economy refers to the number of people who are without employement, while actively searching for employment, willing to work and have actively sought for employment in the past four weeks. In this example, a factory worker retiring at 62 is not actively looking for work anymore, hence this transition does not affect the number of unemployed individuals in an economy

2. unemployment rate: The unemployment rate refers to the percentage of labor force that is jobless. Mathematically, it is represented as:

[tex]Unemployment\ rate\ =\ \frac{umemployed}{Labour\ force} \times\ 100[/tex]

In this example, a factory worker retiring at 62, reduces the labor force (number fit to work) in a population, and since the unemployment rate is in turn affected by the labour force (inversely), the unemployment rte is affected by the retiring of the factory worker

3. Labor force: The labor force in an economy are all the individuals who are fit and able to work. It inclues all those who are actively employed and those who are unemployed. A retired factory worker is not part of the labor force, because retirement age disqualifies him/her from being fit to work, hence the retirement reduces the labor force.

4. Labor-force participation rate: This is the coolective numbere of civilians or non-institutional people 16 years or older, who are working or actively looking for work. Retirement reduces the labor-force participation rate

Answer:

You need a protractor to measure each angle otherwise you can't really assume each angle because it won't be accurate

Answer:

y = 2x+1

Step-by-step explanation:

[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]

Step-by-step explanation:

Hey, there!!

Here, the given point is (1,3).

Now, Using one point formula we need to find the equation of the line passing through point (1,3).

Now,

[tex](y - y1) = m1(x - x1)[/tex]

Keeping values,

[tex](y - 3) = m1(x - 1)[/tex]

It is the 1st equation.

Similary, you have another equation,

2y = 4x + 8..............2nd equation.

or, 4x - 2y +8 =0

M2 from equation 2,

[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex] = \frac{ - 4}{ - 2} [/tex]

Therefore, m2 = 2

Now,

As per the condition of parallel lines,

m1 = m2 = 2

Now, substituting the value of m1 in equation 1st.

(y-3) = 2 (x-1)

y-3 = 2x - 2

or, 2x-y+1 = 0 ......is the required equation.

Hope it helps...

Answer:

the answer to the promblem is 521,000

Answer:

522,000

Step-by-step  

If the number is 5 you let it go up if its below you let it go down.

Answer:

B

Step-by-step explanation:

4×4×3=48

4 comes out.

a - never comes out of radical and stays in the radical with 3.

the simplest way I could explain

Answer: OPTION 3

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)=√-1

-----------------------------------------------

√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.

√16=4 ⇔ This is a perfect square

√3=√3 ⇔ Nothing to change

√-1=i ⇔ imaginary number as mentioned before.

√-48=√16 × √3 × √-1

√-48=4 × √3 × i

√-48=4i√3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}[/tex]

Option A is the correct option

Step-by-step explanation:

[tex] \sf{5m + 3m - 8 = 64}[/tex]

Collect like terms

⇒[tex] \sf{8m - 8 = 64}[/tex]

Move 8 to right hand side and change it's sign

⇒[tex] \sf{8m = 64 + 8}[/tex]

Add the numbers

⇒[tex] \sf{8m = 72}[/tex]

Divide both sides of the equation by 8

⇒[tex] \sf{ \frac{8m}{8} = \frac{72}{8} }[/tex]

Calculate

⇒[tex] \sf{m = 9}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{m=9}[/tex]

Step-by-step explanation:

[tex]5m + 3m - 8 = 64[/tex]

Combining like terms.

[tex]8m - 8 = 64[/tex]

Adding 8 to both sides.

[tex]8m=72[/tex]

Dividing both sides by 8.

[tex]m=9[/tex]

Answer:

30.39in^2 (^2 means squared)

Step-by-step explanation:

3 x 3 = 9in^2

3.1 x 6.9 =21.39in^2

9 + 21.39 = 30.39in^2

Answer:

What do you want for the answer?

This?

500-50n

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, But I would show how to solve the problem

The area of a sector of a circle with radius r and a subtended central angle  θ in degree has an area of:

Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where θ is in degrees.

If the central angle is in radian, then the area of the sector is given as:

[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]

Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.

Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3

Therefore:

[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]

Answer:

20%

Step-by-step explanation:

Turn 2 out of 10 into a percentage.

[tex]\frac{2}{10}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{20}{100}[/tex] → 20%

Answer:

Option (3)

Step-by-step explanation:

If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.

Given complex number is (-3 + 2i )

Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.

Option (3) will be the answer.

Answer:

D

Step-by-step explanation:

The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,

Answer:

[tex]\Huge \boxed{\mathrm{D}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2 + ( -8 )

2 is on the number line.

When -8 is added to 2, the value decreases, and it moves 8 units to the left side.

The result is -6.

[tex]\rule[225]{225}{2}[/tex]

Answer:

Center: (4, -6)

Radius: 2

Step-by-step explanation:

Circle Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r = radius

Step 1: Write out equation

(x - 4)² + (y + 6)³ = 4

Step 2: Identify variables

h = 4

k = -6

r² = 4

Step 3: Find answers

Center = (4, -6)

√r² = √4

r = 2

Step-by-step explanation:

Given that,

The hypotenuse of a right triangle is 15 cm

Let x is the length of the other leg. So, the length of the first leg is 2x.

Using Pythagoras theorem for the right angle triangle such that,

hypotenuse² = base²+height²

Let base is x and height is 2x

So,

[tex]15^2=x^2+(2x)^2\\\\225=x^2+4x^2\\\\225=5x^2\\\\x^2=45\\\\x=3\sqrt{5} \ cm[/tex]

Hence,

Base = [tex]3\sqrt{5} \ cm[/tex]

Height = [tex]2\times 3\sqrt{5} \ cm=6\sqrt5\ cm[/tex]

Hyoptenuse = 15 cm (given)

Answer:

16yyyy

Step-by-step explanation:

Getting rid of exponents:

Step-by-step explanation:

(-2y)^4

= (-2) ^4 ( y) ^4

= (16) (yyyy)

= 16yyyy

Answer:

56

Step-by-step explanation:

Answer:

a3= -343

divade both side by 3 to make a the subject

a3/3= -343/3

a = -114.3

the answer is 35 people

b

r

a

i

N

L

Y

B

Y

P

A

S

S

Answer:

y = [tex]\frac{4}{3}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{3}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 6, - 5) into the partial equation

- 5 = - 8 + c ⇒ c = - 5 + 8 = 3

y = [tex]\frac{4}{3}[/tex] x + 3 ← equation of parallel line

Answer:

c

Step-by-step explanation:

Answer:

A.25

Step-by-step explanation:

Steps to solve:

-k - (3k - 6n) + 2n; k = -3, n = -5

~Substitute and simplify

-(-3) - (3(-3) - 6(-5)) + 2(-5)

3 - (-9 + 30)) - 10

~Use PEMDAS and solve the rest.

3 - 21 - 10

-18 - 10

-28

Best of Luck!

Answer:

the answer is -22

Step-by-step explanation:

-k -(3k - 6n) + 2n  

when k = -3  &  n = -5

substitute the values of k and n

-(-3) -[3(-5) - 6(-5)] + 2(-5)

3 - [-15 - (-30)] + (-10 )

3 - ( -15 + 30 ) - 10

3 - 15 - 10

-12 - 10

-22

hope this helps  （＾▽＾）

The probability that two brown sit together is 0.2.

What is the meaning of arrangements?

the act of putting things in order

Here, it is given that ;

there are Two brown and 8 red birds.

Total number of ways 10 distinct birds can sit = 10!

Now,

When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :

¹⁰C₂ = 10!/ (2! x 8!)

¹⁰C₂ = 45 ways

Now, consider two brown birds as one bird then the number of arrangement will be :

⁹C₁ = 9!/1! = 9

The probability that two brown sit together will be :

9/45 = 0.2

Therefore, the probability that two brown sit together is 0.2.

Read more about probability at:

https://brainly.com/question/8217340

#SPJ2

Answer: a

Step-by-step explanation:

Answer:

35,012,129 > 35,011,129

Answer:

>

Step-by-step explanation:

everything is the same but the 12 and 11

Answer:  1/4

Step-by-step explanation:

If there are  6 black markers and they are a total combination of 24 difference colored markers.  

The  the fraction will be 6/24  which reduces to 1/4

Answer:

Step-by-step explanation:

[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]

Answer:

The answer is 10/3.

Step-by-step explanation:

Think of position. After one hour just as the fast truck starts, the slow truck is at a position 50 miles. Let's see where they aree at time t hours after the fast truck begins his trip: Slow Truck: 50 miles + (50 miles/hour)×t Fast Truck: (65 miles per hour)×t .

What is t when their positions are the same?

50 + 50t = 65t

50 = 65t - 50t

50 = 15t

50/15 = t

10/3 = t

t = 10/3.

Answer:

1.5 cups of sugar

Step-by-step explanation:

4/2=2

2 dozens of cookie uses 1 cup of sugar.

3/2=1.5

3dozens  of cookie needs 1.5 cup of sugar.