Find the next three terms of the geometric sequence 81, 27, 9

Answer:

a. +3

b. -12a

Step-by-step explanation:

Here, we want to know the steps that are involved in those unoccupied segments

let’s start with the output

6a + 18

So what turned a to 6a + 18

Let’s call that output x

Let’s reverse the last step that multiplied that term and a

Thus (6a + 18)/6 = a + 3

Thus the x-term we are looking for is + 3 before the multiplication by 6

Now for the second part;

a * 4 -3 = -12a

Answer:

The finding is significant at α = 0.05 but not at α = 0.01.

Step-by-step explanation:

We are given with the following hypothesis below;

Null Hypothesis, [tex]H_0[/tex] : p = 0.40      {means that the population proportion is equal to 40%}

Alternate Hypothesis, [tex]H_A[/tex] : p > 0.40        {means that the population proportion is greater than 40%}

The z-test statistics given to us is 2.25.

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 2.25 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Now, at 0.01 level of significance, the z table gives a critical value of 2.33 for the right-tailed test.

Since the value of our test statistics is less than the critical value of z as 2.25 < 2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

This means that the finding is significant at α = 0.05 but not at α = 0.01.

Answer:

11/50

Step-by-step explanation:

The frequency numbers for landing on 1, 2, and 3 are:

25, 53, 62.

We add them up to get: 25 + 53 + 62 = 140

Since 250 spins were made, and 140 of them landed on 1, 2, or 3, then

250 - 140 = 110,

so 110 landed on 4 or 5.

We are told the numbers of spins landing on 4 and 5 are equal, so

110/2 = 55,

so the spinner landed 55 times on 4 and 55 times on 5.

relative frequency = 55/250 = 11/50

Answer:

The standard deviation of second data set is 9.2952.

Step-by-step explanation:

The variance of a random variable is independent of change of origin but not of scale.

That is if any value is added or subtracted from the random variable then the variance of the random variable will not change.

[tex]V(X+a)=V(X)+V(a)=V(X)[/tex]

And if any value is multiplied or divided by the random variable then the variance of the random variable will change.

[tex]V(aX)=a^{2}V(X)[/tex]

The first set of data is:

S₁ = {3, 4, 6, y, (y+3) and 9}

The variance of S₁ is,

V (S₁) = 21.6

The second set of data is:

S₂ = {6, 8, 12, 2y, (2y+6) and 18}

On comparing the two sets of data, it can be concluded that:

S₂ = 2 × S₁

Compute the variance of S₂ as follows:

[tex]V(S_{2})=V(2\times S_{1})[/tex]

         [tex]=2^{2}\times V(S_{1})\\\\=4\times 21.6\\\\=86.4[/tex]

Then the standard deviation of S₂ is:

[tex]SD(S_{2})=\sqrt{V(S_{2})}[/tex]

            [tex]=\sqrt{86.4}\\=9.2952[/tex]

Thus, the standard deviation of second data set is 9.2952.

Answer:

see below

Step-by-step explanation:

If we look at ∠CBA and ∠BAE, we notice that they must be supplementary because they are same side interior angles, therefore:

41 + 102 + x = 180

143 + x = 180

x = 37°

Answer:

x = 37°

Step-by-step explanation:

→ First, we need to remember 2 important angle facts

→ The first thing we want to do is find BCA because it's alternate to CAE or angle x, so let's set up an equation

BCA + 41° + 102° = 180°

→ Add the whole number together

BCA + 143° = 180°

→ Minus 143° from both sides to isolate BCA

BCA = 37°

→ Using the second angle fact, that alternate angles are equal, we can confirm that angle 'x' and angle BCA are alternate therefore equal

x = 37°

Answer:

4

Step-by-step explanation:

x-5=11-3x

+5 +5

x=16-3x

+3x +3x

4x=16

--- ----

4 4

//x= 4//

// have a great day //

Answer:

n= 35/8

Step-by-step explanation:

7/n= 8/7

7/8 = n/7

7²/8 = n

n = 49/8

Answer:

Step-by-step explanation:

[tex] \frac{7}{n} = \frac{8}{7} [/tex]

Cross multiply

We have

49 = 8n

Divide both sides by 8

Hope this helps you

Answer:

A and B

Step-by-step explanation:

A) because what Omyra found is the distance for an hour and what she should have found is the distance for an hour and a half.

B) because the pythagorean theorem is a^2+b^2=c^2. The legs of an triangle should always be squared before being added.

Answer:

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Step-by-step explanation:

Responder:

Compruebe amablemente la explicación

Explicación paso a paso:

Dados los datos: 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx

Los dos valores faltantes podrían ingresarse utilizando varios métodos, incluyendo la mediana, modal y el valor medio de los datos dados en la distribución.

Aquí usaremos el valor medio.

Media (m) de los datos = suma de la observación / número de observaciones Media =

(55 + 51 + 60 + 56 + 64 + 56 + 63 + 63 + 61 + 57 + 62 + 50 + 49 + 70 + 72 + 54 + 48 + 53 + 58 + 66 + 68 + 45 + 74 + 65 + 58 + 61 + 62 + 59 + 64 + 57 + 63) / 31 = 1844/31 = 59.4 = 59 (al número entero más cercano) Entonces reemplace los valores faltantes con 59.

En otro para hacer cálculos sobre los datos, hay que reorganizarlos.

Datos ordenados: 45,48,49,50,51,53,54,55,56,56,57,57,58,58,59,59,59,60,61,61,62,62,63,63,63, 64,64,65,66,68,70,72,74

Los cuartiles de datos:

Primer cuartil (Q1) = 1/4 (33 + 1) = 1/4 (34) = 8.5

Q1 = (8º + 9º) / 2 = (55 + 56) = 111/2 = 55,5

Segundo cuartil (Q2) = Q3 - Q1 = (25.5 - 8.5) = 17th = 59

Tercer cuartil (Q3) = 3/4 (33 + 1) = 3/4 (34) = 25.5 Q3 = (25 + 26) = (63 + 64) = 127/2 = 63.5

Rango intercuartil (IQR) = 63.5 - 55.5 = 8

Mediana = Q2 = 59

Mínimo = 45

Máximo = 74

Rango = 74-45 = 29

El quinto decil:

D5 = [5 (33 +1)] / 10 = 5 (34) / 10

D5 = 170/10 = 17º valor = 59

7mo decil: D7 = [7 (33 + 1)] / 10 = 7 (34) / 10

D7 = 238/10 = 23.8 ° término D7 = 63

Percentil:

Percentil 13 (13% × 33) = 0.13 × 33 = 4.29

4to término = 50

Percentil 76: (76% × 33) = 0.76 × 33 = 25.08

25 ° término = 63

Answer:

Step-by-step explanation:

Note: When a body is travelling at uniform acceleration, the average velocity is given as  [tex]Average -velocity= \frac{v+u}{2}\\\\[/tex]

Given

initial velocity u= 3 m/s

final velocity v= 5 m/s

[tex]Average -velocity= \frac{5+3}{2}\\\\[/tex]

[tex]Average-velocity= \frac{8}{2}[/tex]

To express this in mixed number we have [tex]=4\frac{0}{2}[/tex]

Answer:

84

Step-by-step explanation:

-3 multiplied by -28 equals 84. The two negatives cancel out.

Answer: ur answer would be  84

-3*-28

84

Answer:

the slope is 5

Step-by-step explanation:

y = 5 x – 3

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is 5 and the y intercept is -3

Answer:

The Slope is 5

Step-by-step explanation:

As seen in the y-intercept equation, 5x is shown as the slope of the line.

Answer:

4

Step-by-step explanation:

Angle 2 and angle 4 are vertically opposite angles.

Vertically opposite angles are equal.

Answer:

the angle that is congruent to <2 is <4.

Step-by-step explanation:

They are vertical angles, therefore congruent

Answer:

A

Step-by-step explanation:

I literally don't know how to explain this

Answer:

WX = 7.9

Step-by-step explanation:

By applying tangent rule (law of tan) in the given right triangle WXY.

tan(W) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(27)° = [tex]\frac{\text{XY}}{\text{WX}}[/tex]

0.509525 = [tex]\frac{4}{\text{WX}}[/tex]

WX = [tex]\frac{4}{0.509525}[/tex]

WX = 7.85

WX ≈ 7.9

Therefore, length of side WX is 7.9 units.

Answer:

0,1,2,3

Step-by-step explanation:

There is an open circle at -1 so it is not included

There is a closed circle at 3 so it is included

The integers between and including 3 are good

0,1,2,3

Answer:

-1,3

Step-by-step explanation:

Answer:

  no

Step-by-step explanation:

In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...

  y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4

In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...

  r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3

Based on side lengths only, the triangles cannot be similar.

__

Additional note

Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.

Answer:

0.6 then calculate which expression is equal to that

Step-by-step explanation:

arccos = cos^-1

Put that in calculator

Answer:

1. 5 3/4 - 2 1/4 = 3 1/12          2. 7 2/3 + 2 1/5 = 9 13/15

Step-by-step explanation:

1. 5 3/4 - 2 1/4

subtract the numbers on the side 5-2=3

subtract the fraction 3/4-1/4=2/4

reduce 2/4=1/2

add them together 3+1/2=3 1/2

2. 7 2/3 + 2 1/5

subtract the numbers on the side 7+2=9

find LCD of 2/3 and 1/5=

10/15+3/15=13/15

add them together 9+13/15=9 13/15

Answer:   [tex]a)\ 3\dfrac{1}{2}[/tex]

                [tex]b)\ 9\dfrac{13}{15}[/tex]

Step-by-step explanation:

a)

[tex].\quad 5\dfrac{3}{4}\\-\\.\quad\underline{ 2\dfrac{1}{4}}\\\\.\quad 3\dfrac{2}{4}\div\dfrac{2}{2}\quad =\quad \large\boxed{3\dfrac{1}{2}}[/tex]

b)

[tex].\quad 7\dfrac{2}{3}\times \dfrac{5}{5}=7\dfrac{10}{15}\\+\\.\quad 2\dfrac{1}{5}\times \dfrac{3}{3}=\underline{2\dfrac{3}{15}}\\\\.\qquad \qquad \quad \ \large\boxed{9\dfrac{13}{15}}[/tex]

Answer:

I also need the same help :(((

Step-by-step explanation:

1. The percentage of the players who finished the walk in less than 2 hours  will be  2.28%

2. The probability that two randomly chosen players completed the walk in 2.9 hours or more was 15.87%

3. The probability that four randomly chosen players completed the walk was between 1.7 and 2.9 hours  84%

4. The number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants 0

5. if the number of participants increased, the probability would increase while if they decreased, the probability would decrease

The z score is a measure used in probability to determine the number of standard deviations the raw score is above or below the mean, it is given by the equation:

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

Given that:

the mean μ = 2.6 hours and a standard deviation(σ) of 0.3 hours.

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

1) What percent of the players finished the walk in less than 2 hours.

To calculate this, we use x as 2 hours and then find the z score.

[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2-2.6}{0.3}=-2[/tex]

From the normal probability distribution table, P(x < 2) = P(z < -2) = 0.0228 = 2.28%

2)  What is the probability that two randomly chosen players completed the walk in 2.9 hours or more

To calculate this, we use x as 2.9 hours and then find the z score.

[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1[/tex]

From the normal probability distribution table, P(x > 2.9) = P(z > 1) = 1-P(z<1) = 1 - 0.8413 = 0.1587

3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours

To calculate this, we first use x as 1.7 hours and then find the z score.

[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{1.7-2.6}{0.3}=-3[/tex]

For x as 2.9 hours and then find the z score.

[tex]Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1[/tex]

From the normal probability distribution table, P(1.7 < x < 2.9) = P(-3 < z < 1) = P(z<1) - P(z < -3) = 0.8413 - 0.0013 = 0.84

4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?

To calculate this, we use x as 3.5 hours, a number of samples (n) = 1200, and then find the z score.

[tex]Z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}=\dfrac{3.5-2.6}{\dfrac{0.3}{\sqrt{1200}}}=104[/tex]

From the normal probability distribution table, P(x > 3.5) = P(z > 104) = 1-P(z<104) = 1 - 1 = 0

5. What might you observe if the number of participants increased or decreased?

if the number of participants increased, the probability would increase while if they decreased, the probability would decrease

To know more about Z-scores follow

https://brainly.com/question/25638875

Answer:

Volume = 240 feet³

Step-by-step explanation:

We'll find it's volume

Volume = [tex]Lenth *Width*Height[/tex]

Where Length = 4, Width = 6, Height = 10

Volume = 4 * 6 * 10

Volume = 240 feet³

Answer:

3x - 20 = 13

Step-by-step explanation:

1. The word is signals the equal sign.

The difference of three times a number and 20 = 13

2. The word difference signals subtraction.

3. The phrase a number sigals that the number is unknown, so a variable should be used. In this case, I'll use x.

4. Three times that number = 3x.

The difference = subtraction.

3x-20=13

Answer:  the number is 11

3  times a number becomes 3x. is becomes an = sign rhen the given amount, 13

3x - 20 = 13

Step-by-step explanation:

3x - 20 =13

3x = 13 + 20

3x =33

x= 11

Answer:

Inga will have to sell $12,533 to earn more in commission than in salary.

Step-by-step explanation:

As the commission is the percentage of sales amount so, need to calculate the minimum sales value required.

Igna's salary = $375

Commission rate = 3%

Sale to earn more than salary = $376 / 3% = $12,533.33

Igna has to make a minimum sale of $12,533 per week in order to earn more commission than her salary.

Answer:

0.75 or 3/4

Step-by-step explanation:

If we call the common ratio r, since 4 - 1 = 3 we can write:

64 * r³ = 27

r³ = 27/64

r = ∛(27/64) = ∛27 / ∛64 = 3 / 4

Answer:

(a) the common ratio = 3/4.

Step-by-step explanation:

First term a1 = 64

The fourth term a4 = a1 r^3 = 27

So a1 r^3 / a1 = 27/64

r^3 =  (27/64)

r = ∛ (27/64

= 3/4.

Answer:

7/20.

Step-by-step explanation:

Simply convert 35% to a fraction. You get 35/100. Then, you are expected to leave your fraction in its simplest form. Do the simplification, and you will derive 7/20.

Answer:

2nd Graph

Step-by-step explanation:

If it's a direct proportional relationship, the the 2nd graph is your best choice. Usually renting stuff keeps increasing in price (like a linear graph) as businesses want to make money continuously. Besides, it's charged by the hour, with an increase of price proportional to the amount of hours, so it is a linear equation.

Answer:

B and E

Step-by-step explanation:

(26x+2)+2=2(x+3)+1 - solution = 1/8

2x+3(x+5)=5(x-3) - NO SOLUTION

4x+3=x+12 - solution = 3

4 - (2x + 5) = {(-4x - 2) - solution = -1/2

5(x + 4) - X= 4(x + 5) - 1​ - NO SOLUTION

Answer:

m=5/3

y=5/3 x -5

Step-by-step explanation:

(3,0) , (0,-5)

m=y2-y1/x2-x1

m=-5-0/0-3

m=-5/-3

m=5/3

euation: y=mx+b when x=0 y=b=-5

y=5/3 x -5

check : y=0 , 5x/3=5 then x=15/5=3 correct

Answer:

y= 5/3x -5

Step-by-step explanation:

The rise from the first point is 5, and the run is 3. Seeing that rise over run = slope, the slope is 5/3. The line intercepts the y axis at -5 also, so the y-intercept is negative 5. Written in slope intercept form, y= mx+ b, the answer is y= 5/3x -5. 5/3 also equals 1.6 repeating. I am 100% sure.

Answer:

x = 12.5

Step-by-step explanation:

Since measure of 4th arc is not given (measure of 3 arcs have been given), we will apply the following theorem.

By the intersecting chords theorem,

"If two chords intersecting inside a circle, measure of the angle between these chords will measure the half the sum of measures of arcs intercepted by the angle and its vertical angle."

Here intercepted arcs are (2x)° and 155°. Angel between the chords measure 90°.

By the theorem,

90° = [tex]\frac{1}{2}(2x + 155)[/tex]°

180° = (2x + 155)°

2x = 180 - 155

2x = 25

x = 12.5

Answer:

Option 2 and 4

Step-by-step explanation:

Area of the big rectangle to fit small ones:

Area of small rectangles:

Now, the answer options: