This diagram shows a convex polygon.

What is the value of a?

*Picture Attached*​

The Probability distribution table is;

x P(x)

0 0.4167

1 0.5

2 0.0833

3 0

The speedometers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x, N, n, k) = C_k,x * C_n - k, n - x)/(C_N,n)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

7 + 2 = 9 speedometers, which means that N = 9

2 are not correctly calibrated, which means that k = 2

3 are chosen, which means that n =3

Complete the probability distribution table.

Probability of each outcome.

P(X = 0) = h(0, 9, 3, 2) = 0.4167

P(X = 1) = h(1, 9, 3, 2) = 0.5

P(X = 2) = h(0, 9, 3, 2) = 0.0833

P(X = 3) = h(0, 9, 3, 2) = 0

Probability distribution table:

x P(x)

0 0.4167

1 0.5

2 0.0833

3 0

Read more about Probability Distribution table at; https://brainly.com/question/9385303

#SPJ1

Answer:

He worked for 5.75 hours

Step-by-step explanation:

Answer:200

Step-by-step explanation:

All you have to do is add.

Answer:

25

Step-by-step explanation:

because its simple math

anyways have an nice day

The amount the company will have in scholarship funds at the end of ten years is $604,019.83.

The interest is $204,019.83.

a) The amount the company will have in scholarship funds at the end of ten years can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = P * (((1 + r)^n - 1) / r) ................................. (1)

Where,

FV = Future value or the scholardhip amount after 10 years =?

P = Quarterly payment or payment at the end of every 3 months = $10,000

r = Quaterly interest rate = 8% / 4 = 2%, 0.02

n = number of periods = number of quaters in a year * 10 = 4 * 10 = 40

Substituting the values into equation (1), we have:

FV = $10,000 * (((1 + 0.02)^40 - 1) / 0.02)

FV = $604,019.83

b) The interest can be found as follows:

Total payment = P * n = $10,000 * 40 = $400,000

Interest = FV - Total payment = $604,019.83 - $400,000 = $204,019.83

Learn more about interest here: https://brainly.com/question/26457073.

#SPJ1

Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.

The scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.

Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.

The scale is represented as a fraction as follows: measured on the map/measured in reality

In this case, you know that:

Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:

5 cm/ 120 miles= measured on the map/2320 miles

(5 cm/ 120 miles)× 2320 miles= measured on the map

96.667 cm= measured on the map

Finally, the length of the Mississippi River on the map is 96.667 cm.

Learn more about scale:

https://brainly.com/question/26467371

https://brainly.com/question/16136369

https://brainly.com/question/9352480

#SPJ1

Answer:

divid 1500 to 50

Step-by-step explanation:

Answer: 1500 0/0

Step-by-step explanation:

Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

Answer:

.007 is in the thousandths place.

Step-by-step explanation:

In decimals it goes tenths, houndredths, thousandths, and so on.

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]

Answer:

2/35

Step-by-step explanation:

fifteen total, 4 live in Gaston

so

4/15 times 3/14

because there is only 14 left to be selected and 3 left in Gaston

so 0.05714285714

or 2/35

Answer:

1 4/5

Step-by-step explanation:

Answer:

9/2

Step-by-step explanation:

f(x)=5-1/2

plug in 4

f=9/2

9/2

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

The number of smaller pieces of land that can be sold at the stated size is 2^6

The given parameters are:

Total area = 2^15 square miles

Smaller piece = 8^3 square miles

The number of smaller pieces of land that can be sold at the stated size is

Number = Total area/Smaller piece

So, we have:

Number = 2^15/8^3

Rewrite as

Number = 2^15/2^9

Apply the law of indices

Number = 2^6

Hence, the number of smaller pieces of land that can be sold at the stated size is 2^6

Read more about quotients at

https://brainly.com/question/629998

#SPJ1

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

(C) I got it right

Step-by-step explanation:

on edge

I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]

Answer: segments and rays

Step-by-step explanation:

Answer: 610 MPH

Step-by-step explanation:

915 divided by 1.5=610 MPH

610 divided by 2=305 MP Half n Hour

610+305=915

The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .

We have given two equation of lines -7x + 3y = 2    ....(1)  and -3x + 7y = 1 ....(2)        3y = 7x +2

                 y = 7x/3 +2

On comparing with slope intercept form y = mx + c , we get slope of equation (1)         m₁ =  7/3

      7y = 3x +1

        y = 3x /7 +1

On comparing with slope intercept form y = mx + c , we get slope of equation (2)        m₂ = 3/7

If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by

                    m₁ × m₂ = -1

                    7/3 × 3/7 = -1

                      1 ≠ -1

Hence the given lines are not perpendicular to each other.

Learn more about slope intercept form here :

https://brainly.com/question/1884491

#SPJ9

Answer:

Answer:

you get 0.4 litres for every dollar

Answer:

2100 meters

Step-by-step explanation:

REMEMBER: 1 km = 1000 m

2.1 km x 1000= 2100 meters

hope this helps ;)

Answer:

a₂ = -3

a₃  = -1

Step-by-step explanation:

We have to  insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d    

1  + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

Also

a₂ = a₁ + (2-1)d

a₂ = -5 + d

a₂ = -5 + 2          ∵ d = 2

a₂  = -3

a₃ = a₁ + (3-1)d

a₃  = -5 + 2d

a₃  = -5 + 2(2)   ∵ d = 2

a₃  = -5 + 4

a₃  = -1

Thus,

a₂ = -3

a₃  = -1

Thus, the sequence becomes:

-5, -3, -3, 1

Answer:

7

Step-by-step explanation:

Bluegreen

Bluered

Blueyellow

Greenblue

Greenred

Greenyellow

Redblue

Redgreen

Redyellow

Yellowblue

Yellowgreen

Yellowred

Answer: 7

Step-by-step explanation:

Took on computer

Answer:

a)  We get [tex]\mathbf{A+B=x^2-2x+1}[/tex]

So, Is the result of A+B is a polynomial:Yes

b) We get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]

So, Is the result of A-B is a polynomial:Yes

c)  We get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]

So, Is the result of A.B is a polynomial:Yes

Step-by-step explanation:

We are giving the polynomial equations:

[tex]A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1[/tex]

We need to find

a) A+B

[tex]A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\[/tex]

So, we get [tex]\mathbf{A+B=x^2-2x+1}[/tex]

So, Is the result of A+B is a polynomial:Yes

b) A-B

[tex]A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\[/tex]

So, we get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]

So, Is the result of A-B is a polynomial:Yes

c) A . B

[tex]A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2[/tex]

So, we get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]

So, Is the result of A.B is a polynomial:Yes