Find the 9th term of the geometric sequence.

Find The 9th Term Of The Geometric Sequence.

Answers

Answer 1

Answer:

7/6561

Step-by-step explanation:

nth term = a1 r^(n-1) so

9th term =  7* (1/3)^(9-1)

= 7*(1/3)^8

= 7/6561


Related Questions

From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is.

Answers

Answer:

3.92

Step-by-step explanation:

From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is 3.92.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population. The margin of error will be positive whenever a population is incompletely sampled and the outcome measure has positive variance, which is to say, the measure varies.

Margin of error at alpha level of significance =

Z score at alpha level of significance * sqrt(variance/ sample size)

Z score at 5% level of significance = 1.96

Variance = 900

Sample size = 225

Margin of error = [tex]1.96 *\sqrt{\frac{900}{225} } = 1.96*\frac{30}{15} = 3.92[/tex]

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need help on this ratio question 4:8 in simplist form then into a fraction?

Answers

Answer:

4:8 in simplified form would be 1/2

Step-by-step explanation:

Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!

Number 13. Multiply please.

Answers

[tex](x-y)^2 \\\\\\= (x-y)(x-y)\\\\= x * x + (x)(-y)+(-y)(x) +(-y)(-y)\\\\ = x^2 -xy-xy + y^2\\\\=x^2-2xy + y^2[/tex]

Hope that helps!

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4

Answers

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

What is probability distribution?

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

Probability distribution score:      1,       2,       3,       4, x probability: p(x)                      0.06,  0.20,  0.48,  0.26

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

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Answer:

C on edge

Step-by-step explanation:

3

∠C and ∠D are complementary.

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

m∠C + m∠D = 90

Substitute values and solve for x:

8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7

Answer:

x = 7

Step-by-step explanation:

Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

x = 91/13 = 7

Find the distance between the pair of points.
(-2,-18) and (-8,-22)

Answers

Answer:

7.21 units

Step-by-step explanation:

hope this helps!

explain of how you got the answer for this work

Answers

Answer:

Mariah's investement is growing faster

Step-by-step explanation:

Here to find the rate at which the savings are growing at, we have to observe the slope of the line which describes the line representing the savings of each as a function of time.

The slope of a line is given by the relation;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Where m is the slope.

(x1,y1) is any point on the curve.

(x2,y2) is any other point on the curve.

Let's start of with Mariah by picking any 2 points from the table.

(0,150)

(1,159)

[tex]m(mar) = \frac{159 - 150}{1 - 0} = \frac{9}{1} = 9[/tex]

Let's move on to Mauricio's line and choose 2 points that lie on that line.

(0,190)

(1,195.7)

[tex]m(mau) = \frac{195.7 - 190}{1 - 0} = \frac{5.7}{1} = 5.7[/tex]

By looking at both slopes, we see that Mariah's growth rate (slope) 9>Mauricio's growth rate (slope) which is 5.7

Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4

Answers

An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,

1. Taking +5 on the right-hand side of the equation,

[tex]x^2+6x+5 = 0\\\\x^2+6x = -5[/tex]

2. Now if we add +9 on both sides of the equation, we will get,

[tex]x^2+6x = -5\\\\x^2+6x+9 = -5+9[/tex]

3. Now we look at the left side of the equation as the square of the binomial expression (x+3).

[tex]x^2+6x+9 = -5+9\\\\(x+3)^2 =4[/tex]

4. Taking +4 from the right side of the equation to the left side of the equation,

[tex](x+3)^2 =4\\\\(x+3)^2 -4=0[/tex]

Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.

Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

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Which of the following statements is FALSE?

AO = 7.8 cm
c1 = 40°
BO = 7.8 cm
a2 = 40°

Answers

Parallelogram is a quadrilateral with equal diagonals. The statement BO = 7.8 cm is the only false statement

Properties of a parallelogram

From the given diagram, the opposite sides and angle of the figure are the same but the diagonals are not equal. This shows that:

m<B = m<D

m<A = m<C

Since the diagonals are not equal that is BD is not equal to AC, hence:

OB ≠ OC

Hence the statement BO = 7.8 cm is the only false statement

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Answer:BO = 7.8 cm

Step-by-step explanation: just did the quiz

A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the preceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.

Answers

Answer:

The answer i 9

Step-by-step explanation:

If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.

151/24 - 8.75
i dont know how to turn it into a decimal.

Answers

Answer:

-2.46

Step-by-step explanation:

151/24=6.29

6.29-8.75=-2.46

Answer:

-2.45833333333

Step-by-step explanation:

151 divided by 24= 6.29166666667

6.29166666667-8.75=-2.45833333333

2dp=2.46

HELP ME WITH THESE GEOMTRY QUESTIONS PLEASE I WOULD REALLY APPRECIATE IT AND CAN YOU TRY TO SHOW THE WORK THANK YOU SO MUCH

Answers

Answer:

1062

Step-by-step explanation: Find the area of each side then add it all up

Express the decimal as a percent. 1.276

60 points.

Answers

To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).

1.276 x 100 = 127.6

Percentage: 127.6%

Hope this helps!

A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.

What is the length of each side of the garden?


3 meters

6 meters

9 meters

27 meters

Answers

Answer: 9 meters

Step-by-step explanation:

Let's list what we know

The garden is in the shape of a triangle

The perimeter of the garden is 27 meters

Each side is the same length

The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides

Since all the sides are the same length we can divide 27 by 3 to find the length of each side

27/3=9

The answer would be 9 meters because we know the perimeter is 27 and a triangle has 3 sides. All you have to do is add 9 to itself 3 times for each side and you get 27 meters.

HELPP 30 POINTS A bag of marbles has a mass of 45 grams. What is the mass of 250 bags of marbles in kilograms?

show your work below

Answers

Answer:

11.25 kg

Explanation:

1 bag of marbles → 45 grams

250 bags → (45 *250) = 11250 grams

Conversion:

1 kg ↔ 1000 grams

So,

11250 g → (11250/1000) kg = 11.25 kg

Answer:

11.25 kg

Step-by-step explanation:

One bag of marbles = 45 g

⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g

1000 g = 1 kg

⇒ 11250 g ÷ 1000 = 11.25 kg

How many distinct subsets of the set $s=\{1,8,9,39,52,91\}$ have three-digit sums?

Answers

The number of distinct subset of the set is an illustration of combination

There are 34 distinct subset of the set that have three digit sums

How to determine the number of distinct subsets?

The set is given as:

S = {1,8,9,39,52,91}

Group the elements

S = {(1,8),9,39,52,91}

So, we have:

S ={s1,s2,s3,s4,s5}

To have a three-digit sum, the sum of the selected elements must be 100 or above.

The number of ways the above set can be selected is:

[tex]n_1 = 4 * [^3C_1 + ^3C_2 + ^3C_3] + 1[/tex]

Evaluate

[tex]n_1 = 4 * [3 + 3 + 1] + 1[/tex]

[tex]n_1 = 29[/tex]

The set can be further rearranged as:

S = {(52,39),9,(8,1)}

i.e.

S = {b1,b2,b3}.

The number of ways the above set can be selected such that the sum is 100 or above is:

[tex]n_2 = 2 * [^2C_1] + 1[/tex]

Evaluate

[tex]n_2 = 2 * 2 + 1[/tex]

[tex]n_2 = 5[/tex]

So, the total number of ways is:

[tex]n = n_1 +n_2[/tex]

This gives

[tex]n = 29 +5[/tex]

[tex]n = 34[/tex]

Hence, there are 34 distinct subset of the see that have three digit sums

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There are 34 distinct subsets of the see that have three-digit sums.

What are distinct subsets of the set?

When we know that S is a subset of T, we place the circle representing S inside the circle representing T.

The set is given as:

S = {1,8,9,39,52,91}

Group the elements

S = {(1,8),9,39,52,91}

S ={s1,s2,s3,s4,s5}

To have a three-digit sum, the sum of the selected elements must be 100 or above.

The number of ways the above set can be selected is:

[tex]\rm n_1=4\times (^3C_1+^3C_2+^3C_3)+1\\\\n_1=4(3+3+1)+1\\\\n_1=4 \times 7+1\\\\n_1=28+1\\\\n_1=29[/tex]

The set can be further rearranged as:

S = {(52,39),9,(8,1)}

S = {b1,b2,b3}.

The number of ways the above set can be selected such that the sum is 100 or above is:

[tex]\rm n_2=2\times ^2C_1+1\\\\n_2= 2\times 2+1\\\\n_2=4+1\\\\n_2=5[/tex]

The distinct subsets of the set are;

[tex]\rm n_1+n_2=29+5 =34[/tex]

Hence, there are 34 distinct subsets of the see that have three-digit sums.

Read more about combination at:

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A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

The answer is: Yes, all conditions for inference are met.

Convert 191% to a decimal.

Answers

Divide 191 by 100
The answer is 1.91

Answer:

1.91

Step-by-step explanation:

191% means [tex]\sf \frac{191}{100}[/tex]

So to write 191% as a decimal, simply divide it by 100.

To divide a number by 100, move the decimal point to the left by 2 places.

[tex]\sf \implies 191 \div 100=1.91[/tex]

If the radius of a circle is x cm. what is the length of it's circumferences?

Answers

Answer:

44/7x

Step-by-step explanation:

circumference of circle= 2πr

=2×22/7×x

=44/7x

The expression x+x+x+x is equivalent to bx.
What’s the value of b

Answers

Answer:

4x

Step-by-step explanation:

X is incremented by 1

Answer:

Step-by-step explanation:

There is a 1 in front of the x. 1 is never written, but really the question looks like

1x +1x +1x +1x which when summed gives 4 x

b = 4

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the m

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.
(It is an answer you have to type)

Answers

Answer:

distance between moon and sun= y/sin x

Step-by-step explanation:

by use of trigonometric ratios SOHCAHTOA

dat stuff only works on right angled triangles so that is what gave it away

you will use

Sin x= y/distance between moon and Sun

distance between moon and sun= y/sin x

based on my the sketch in my mind hope am right

Given the 4 points below, identify what shape is formed and how you found your answer. Drawn out.
A(-1, 0), B(0, 2), C(4, 0), and D(3, -2)

Answers

My answer:

Rectangle

My Explanation:

The reason why this is my answer, is because you can see in the picture, I have this coordinate grid, and on that, I drew out these points, and hence, I got this picture.

Refer to the picture below!

~BrainlyMaster~ - Helping Students

Draw any ∆ ABC with ^B = 90°​

Answers

draw a right angle triangle and label b as the corner

Answer:

In ∆ABC, ∆CBA, ∆ACB

^B = 90°

someone help me please​

Answers

wait a min Answer:

Step-by-step explanateion: it's í 4

if raymond had 50 dogs and gets 80 how many does he have?

Answers

Answer:

50+80 = 130

Step-by-step explanation:

Answer:

50+80=130

Step-by-step explanation:

please mark me the brainiest

NO LINKS!!! Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?

Answers

Answer: C

Step-by-step explanation:

please can i have help answering the question in the picture

Answers

the answer is gonna be x+3/x-2

Hey there!

Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]

[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]

[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]

Covert 135 degrees to radian

Answers

Answer:

2.35619

Step-by-step explanation:

Answer:

2.35619

Step-by-step explanation:

Deg to Rad = ° x pi / 180

Un triángulo rectángulo ABC recto en B , en la region relativa al lado AB se ubica el punto P, tal que la m

Answers

this queation is tricky give me a sec

Step-by-step explanation:

Please help! will give brainlest!

Answers

Answer:

a) 1

Step-by-step explanation:

Tan 5pi/4: 1

Tan (-5pi/4): -1

Tan 5pi/4 in degrees: tan (225°)

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