19/258 = 21/?

help pls

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:

246.36

Step-by-step explanation:

Answer:

2100 meters

Step-by-step explanation:

REMEMBER: 1 km = 1000 m

2.1 km x 1000= 2100 meters

hope this helps ;)

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

Answer:

the y is -2 and there's is no slope i think

Step-by-step explanation:

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:

the real solutions are the ones that actually cross the x-axis.

so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)

The side of the square shape is calculated as 4cm.

A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral and equiangular one).

As, a wire is 32-centimetre-long,

If we cut this same wire in half, the result should be 1/2 of total of

32/2 = 16

In addition, the square has four equal sides.

16/4 = 4

As a result, the square's sides should be 4 cm.

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The complete question is-

A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square. Calculate the side of square.

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]

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

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Answer:

y=2x-A

Step-by-step explanation:

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

Answer:

pet care will be cheaper

Step-by-step explanation:

pet care may have a higher boarding per day of 2+ more than fido's but the bathing is way higher in fido going 12+more than pet care.its mean ur paying even more in fidos by a total per day of 55 while pet care Per day is 45

boarding(in total)

(week-long vacation)

pet care=30x7=210

fidos=28x7=196

bathing (in total)

pet care=15x7=105

fidos=27x7=189

total cost

pet care=315

fidos=385

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

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

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

Answer:

[tex]4x^2-x+8[/tex]

Step-by-step explanation:

First expand [tex](x-8)^2[/tex].

[tex](x-8)(x-8)=x^2-16x+64[/tex]

Now Add:

[tex](x^2-16x+64)+(3x^2+15x-56)\\(x^2+3x^2)+(-16x+15x)+(64-56)=\\4x^2-x+8[/tex]

We want this:

3x^2 + 15x - 56 + (x - 8)^2

First, expand (x - 8)^2 using FOIL.

So, (x - 8)^2 = (x - 8)(x - 8).

(x - 8)(x - 8) = x^2 - 16x + 64.

We now add like terms.

3x^2 + 15x - 56 + x^2 - 16x + 64

4x^2 - x + 8

Done.

Answer:

1 4/5

Step-by-step explanation:

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:

Step-by-step explanation:

43min=3miles

93min=3*93=279/43

austin will walk 6.488miles for 93 minutes

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

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Answer:

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

Step-by-step explanation:

Let 'x' be the number of rocks George had.

As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks

It means after getting 5 new rocks George's total rocks = 72

Given that he gave half collection to Susan = 36

Thus, before inducting 5 new rocks Georg's total rocks were = 67

Thus,

1/2 (x+5) = 36 should be the correct equation.

solving

1/2 (x+5) = 36

Multiplying both sides by 2

1/2 (x+5) × 2 = 36 × 2

x+5 = 72

x = 72 - 5

x = 67

Thus, before getting 5 new rocks, the number of rocks George had = 67

Therefore,

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

Answer:

c

Step-by-step explanation:

Answer:

He worked for 5.75 hours

Step-by-step explanation:

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.

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