Answer the following questions for each geometric
series.
Infinite sum
S=a1/1-r,(for lrl <1)

10 + 1 + 0.1 +0.01 +...

Answers

Answer 1

Answer:

10

0.1

100/9,11.111

1500

Answer 2
Answer:

The sum of this series=11.11

Step-by-step explanation:Definition of geometric series  

A geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.

Formula of infinite geometric sum

[tex]S=a1/1-r,(for lrl < 1)[/tex]

and given series

[tex]10 + 1 + 0.1 +0.01 +...[/tex]...

where

a=10 and r=0.1

by putting these values in above formula

[tex]S=10/(1-0.1)\\=11.11[/tex]

Hence the sum of given series= 11.11

For more to know click on given link

https://brainly.com/question/23198722

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Related Questions

In ΔABC, the sum of the measures of ∠A and ∠B is 47°. What is the measure of ∠C ?

Question 1 options:

133°

47°

86°

143°

94°

Answers

Answer:

133

Step-by-step explanation:

A + B = 47

A + B + C = 180

47 + C = 180

C = 180 - 47

C = 133

Marc is a pharmacist and has documented the number of pills for the last 20 prescriptions he has filled. The data he recorded is in the table below. Assuming that Marc continues to fill prescriptions with number of pills that follow the same proportions, which of the following statements are true? Number of pills Prescriptions 101010 444 202020 444 303030 444 404040 555 505050 333 Total 202020 Choose all answers that apply: Choose all answers that apply: (Choice A) A In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills. (Choice B) B The most likely number of pills in the next prescription that Marc fills is 40. (Choice C) C The expected number of pills in the next prescription that Marc fills is 29.5, point, 5. (Choice D) D The expected total number of pills in the next 20 prescriptions that Marc fills is 680.

Answers

Answer:

All except the one that ends with 680, so SELECT THE FOLLOWING:

✓In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills.

✓The most likely number of pills in the next prescription that Marc fills is 40.

✓The expected number of pills in the next prescription that Marc fills is 29.5.

Step-by-step explanation:

I did it on Khan for an exam.

Flip two coins 200 times how many times will coins match

Answers

50 times(Theoretical probability)[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]200 x [tex]\frac{1}{4}[/tex] = 50Please let me know if I am wrong.

Answer:

in all about 70

Step-by-step explanation:

NOOOO LINKS FILES
At a contest, each diver was scored on a 1-10 scale for each of 8 divee. This data set shows the scores earned by one of the divers
83 8 6 8 834
Which value represents the median of the data set?
A.5
B.6
C.7
D.8

Answers

Answer:

6 is the median

Step-by-step explanation:

The median is the same as the number in the middle, and the number in the middle is 6.

find the arthmetic and the geometric means of 4 and 9

Answers

Answer:

Step-by-step explanation:

first term (a) = 4

last term (b) = 9

Arithmetic mean (AM)

= ( a + b) / 2

= ( 4 + 9 ) / 2

= 13/2

= 6.5

Geometric mean (GM)

= √a *b

=√4 * 9

=√36

= 6

hope it helps :)

!!!!I REALLY NEED HELP!!!!!
Which of the following statements uses communicative property of multiplication?
A.8x4=4x8
B.2x(9x5)=(2x9)x5
C.1x10=10
D.7x0=0

Answers

according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers

Does 23^-1 (mod 1000) exist? If yes solve it.

Answers

Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let x be the inverse. Then x is such that

23x ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for x :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)

(10x - 4) ÷ 5 = 20 what is x

Answers

Answer: 10.4

Step-by-step explanation:

(10x - 4) ÷ 5 = 20

             * 5    * 5

10x - 4 = 100

     + 4    + 4

10x = 104

/ 10   / 10

x = 10.4

PLEASE HELP
will mark brainliest

Answers

Answer:

Sorry about last time I didnt answer correct hopefully you can forgive me but this one I know 100% its C hope that helps.

Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34.

The lengths of the sides of triangle RST are given.

Enter the lengths of the sides of the triangle R'S'T' below.
(Decimal values may be used.)


RS=8 units

R'S'=
units

ST=10 units

S'T'=
units

RT=12 units

R'T'=
units

NO SCAMMERS ALLOWED

Answers

ANSWER: R=6

S= 7.5

T=9

Hector's income is 78,000 dollars per year (52 weeks).

How much money does he make weekly?

Answers

Answer:

1,500.00

Step-by-step explanation:

Assuming 52 weeks in a year, you would make $1,500.00 per week.

Answer:

$1500

Step-by-step explanation:

Here, the question asks what hector's income per week is.

- Keep in mind that if you are asked what something is per unit, you will most likely need to divide. Example: This problem. See below for answer and explanation.

- If a question asks what something is of  a unit, you will most likely need to multiply. Example: 1/4 of a pizza with 4 slices (1 slice). To solve this, you will have to multiply 1/4 to 4. But never mind this, let's focus at this problem.

The bullet points above essentially explain what you have to do here. To find Hector's income, you have to do 78000/52. The answer to this is 1,500 ($1500).

I hope this helped :)

Find the value of x.

Answers

Answer:

x = 33

Step-by-step explanation:

Like the previous question we are going to imagine that the only angle there is angle "x"

Angle "x" is now an inscribed angle and it's intercepted arc has a measure of 66 degrees.

Now remember that an inscribed angle is equal to half of its intercepted arc.

This means that x = half of 66

[tex]\frac{66}{2} =33[/tex]

Hence, x = 33

El 160% de T es igual a N que tanto porciento de N es el 60% de T

Answers

Answer:

sólo pasa por 100% nomás

The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes,

Required:
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
b. State the null and alternative hypotheses for the test.

Answers

Answer:

a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b) The null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

Step-by-step explanation:

Finding the confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.98[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{2.1}{\sqrt{53}} = 0.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes

The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.

a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?

The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b. State the null and alternative hypotheses for the test.

Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.

So the null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

(Need help ASAP, I’m taking a test) A researcher is 95% confident that the interval from 5.09 to 10.13 captures x = the true mean amount of
times models change clothes during a fashion shoot.
Is it plausible that the true mean number of times for all models to change clothes during a fashion shoot may
be 102
No, this is not a plausible value for the population mean, because 10 is within the 95% confidence interval
No, this is not a plausible value for the population mean, because 10 is not within the 9596 confidence
interval
Yes, this is a plausible value for the population mean, because 10 is within the 95% confidence interval
Yes, this is a plausible value for the population mean, because 10 is only a little bit above the upper
boundary of the 95% confidence interval.

Answers

Answer:

See below

Step-by-step explanation:

If a proposed value is outside the confidence interval, it is not a plausible value because the interval never catches it. So B is your best choice.

Answer:

C is correct

Step-by-step explanation:

A recipe for lemonade requires 10 parts of water to
every 6 parts of lemon juice. How many cups of
water should be added to 30 cups of lemon juice
to make the lemonade?


Does anyone know this ??

Answers

Answer:

50 cups water

Step-by-step explanation:

10 cups water     = 6 cups lemon juice

x   cups water     = 30 cups lemon juice

To get from 6 to 30, we needed to do x5, so lets do that for 10 as well.

10x5 cups water = 30 cups lemon juice

50 cups water    = 30 cups lemon juice

how to write 1 896 025
in words​

Answers

Answer:

one million eight hundred ninety-six thousand twenty-five

one million eight hundred ninety-six thousand twenty-five


PLACE VALUE
1- millions place
8- hundred thousands place
9- ten thousands place
6- thousands place
0- hundreds place
2- tens place
5- ones place

find perimeter I’ll mark brainest

Answers

Answer:

P ≈ 37.07752081

Step-by-step explanation:

LN = 9          Count

AL = 9          Count

Use the distance formula to find ND:

[tex]d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }[/tex]          Distance formula

N(6,5), D(9,-1)

[tex]\sqrt{(9-6)^{2}+([-1]-5)^{2}}[/tex]                  Plug in

[tex]3\sqrt{5}[/tex]

ND = [tex](3\sqrt{5}[/tex]

Use the distance formula to find DA:

D(9,-1), A(-3,-4)

[tex]d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }[/tex]          Distance formula

D(9,-1), A(-3,-4)

[tex]\sqrt{([-3]-9)^{2}+([-4]-[-1])^{2}}[/tex]          Plug in

[tex]3\sqrt{17}[/tex]

DA = [tex]3\sqrt{17}[/tex]

Part two

LN = 9

ND = [tex](3\sqrt{5}[/tex]

AL = 9

DA = [tex]3\sqrt{17}[/tex]

P = LN + ND + AL + DA          Perimeter = sum of the measures of all sides

P = 9 + [tex](3\sqrt{5}[/tex] + 9 + [tex]3\sqrt{17}[/tex]

P ≈ 37.07752081

Answer:

P ≈ 37.07752081

Step-by-step explanation:

supersciencestudy was correct, you can go ahead and mark him Brainliest!

HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY

Answers

500 people were surveyed.Just add all the numbers...
500 people were surveyed

What do you set each term equal to in order to solve for all of the "roots" of a function? No links please :)​

Answers

Answer:

Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

Step-by-step explanation:

can you mark me brainliest

Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 unitsmL. Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 unitsmL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal plac

Answers

Answer:

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.3 units/mL

This means that [tex]\mu = 3.3[/tex]

Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.

This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]

[tex]2.054\sigma = 2.6[/tex]

[tex]\sigma = \frac{2.6}{2.054}[/tex]

[tex]\sigma = 1.2658[/tex]

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.


1. Which of the following is a solution to the equation y = -1/4x + 8
A. (10,-8)
C. (-4, 9)

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

Putting the value of x & y as -4 & 9 respectively.

9=(-1/4)(-4) + 8

9=1+8

9=9 [True]

plzzzz help me on this

Answers

Answer:

They are all true.

Step-by-step explanation:

If we substitute each letter with the number that they correspond to, then it should be easy math.

Answer 1: C (100) > L (50). This is true.

Answer 2: XXX (30) < XL (40). This is also true.

Answer 3: IX (9) < XIV (14). This is true.

I do not know what your teacher wants you to put, but there is not an incorrect answer among these. Is there a fourth answer?

The height of a triangle is 2x and the base is x + 7. Write an expression that represents the area of the triangle.

Answers

Answer:

x^2 +7

Step-by-step explanation:

1/2×(x+7)(2x)

2x^2 + 14x/2

2(x^2+7)/2

=x^2 +7

Question in the attachment

Answers

Answer:

Step-by-step explanation:

this is really tricky

so the first pick will make sense

P(m1) 26/46   for pick on.. but that removed one male from the population and also one from the total

P(m2) 25/45

now multiply those two fractions together to get the total probability

26/46 * 25/45 = 650/2070  obviously reduce fraction

65/207= .3140096618

They don't say if you are supposed to use a percent or not

so just try 0.314   :/

A(x): x²+nx+m Hallar n y m para que A(x) admita raíz -4 y el resto de dividir A(x) por (x-1) sea -20

Answers

-30x should be the correct answer for this

Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?

Answers

Answer:

Ross's profit it 1,781.37

Step-by-step explanation:

$35 per person and 54 people= 35x54=1890

Profit= the amount of money he makes after his expenses.

1890-108.63=1781.37

Anna and her friends are making their own puzzles by drawing and painting on pieces of cardboard Anna cuts her puzzle so that there are 12 rows and 15 columns how many pieces are in Anna's puzzle​

Answers

Answer:

180, because you'd do 12 x 15

Find angle A and B in the picture below

Answers

How is your day today

The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.

Answers

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

Other Questions
Pick the choice with the correct AP style: A. The Mississippi Legislature is scheduled to vote on a proposal to fund a cleanup of the Noxubee and Pearl rivers. B. The Mississippi legislature is scheduled to vote on a proposal to fund a cleanup of the Noxubee and Pearl rivers. C. The Mississippi Legislature is scheduled to vote on a proposal to fund a cleanup of the Noxubee and Pearl Rivers. D. The Mississippi legislature is scheduled to vote on a proposal to fund a cleanup of the Noxubee and Pearl Rivers. The question is in the picture above ^ Find the area of the triangle. 7 in. 18 in. The area is square inches. what is 3/4 x 7????? I need someone to tell me if my first paragraph of my argument paper sounds good. i feel like it sounds weird.my topic is: should poetry be taught more in school?(first paragraph must have: transition, first reason, evidence and explanation 3x in that order)The first reason is that poetry helps express emotions and feelings better and it strengthens overall mental health. A lot of people struggle to talk about their feelings face to face with someone. Sometimes its easier to express your feelings through writing. Poetry allows you to express your feelings and get it all out without having to share those emotions with others. We are similar because we go through the same joys and sorrows, through the same illusions and disappointments. The supreme law of living makes us equals, and to a greater or lesser degree, we all feel euphoria and depression, sadness and happiness, hope and disappointments. (How Does Poetry Communicate Feelings and Emotions?) Not everyone can tell their stories through poetry because they were never taught how to make connections. Through poetry, you can pour all your emotions out onto a piece of paper. Maybe if poetry was taught more in schools, more people would go on into life without bottling up their emotions and going through depression. They would go move on in life knowing they have some way of expressing all their feelings without sharing them with a person. Its never good to sit there and bottle up your emotions. You can take all those bottled-up emotions and write them down using several types of poetry. A well-crafted phrase or two in a poem can help us see an experience in an entirely new way. We can gain insight that had evaded us many times, that gives us new understanding and strength. (Five Reasons Why We Need Poetry in Schools) The brain processes poetry a lot like music. A lot of people use music to express themselves or make themselves happier when theyre upset. (Poetry Lights Up the Brain) MRIs have shown that both art forms stimulate regions in the brains right hemisphere that are linked to reward and emotion. So even when reading poetry, you can start to feel better. So many people can understand the way others feel. Reading certain poetry can make you feel included and not so alone. 1. Which of these organisms provides the most energy in a typical forest ecosystem?birdslynxmoosetrees plz help what is the slope of this line shown? NEED HELP FOR TEST!!!Diegos family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. B. Starting from a full tank, can Diegos family drive the car for 25 days without the warning light coming on? HELPWhich of the following choices best explains a sentiment shared by the opinions ofboth judges?A. The thirteenth amendment is not applicable in this particular case.B. It is up to the individual states to determine how a person of mixed race should betreated.C. The wrong decision in this case will deepen existing racial conflicts.D. The conflict in question would be solved if there was a separate train altogether forblacks only. Which statements are true for the functions g(x) = x2 and h(x) = x2 ? Check all that apply.For any value of x, g(x) will always be greater than h(x).For any value of x, h(x) will always be greater than g(x).g(x) > h(x) for x = -1. g(x) < h(x) for x = 3. For positive values of x, g(x) > h(x). For negative values of x, g(x) > h(x). Please help and NO LINKS I WILL REPORT An angle measures 7/9 radians. What is the degree measure of the angle?A.) 2.44B.) 140C.) 280D.) 439.6 Answer pls its due at 3 To achieve the highest return during recrystallization of a given solid, one must: Group of answer choices Add the minimum amount of boiling solvent necessary to dissolve the solid to be crystallized. Add an excess amount of cold solvent necessary to dissolve the solid to be crystallized. Add the minimum amount of cold solvent necessary to dissolve the solid to be crystallized. Add an excess amount of boiling solvent necessary to dissolve the solid to be crystallized. A government agency would likely spend most of its budget on which of the following?RentSalariesRetail itemsHeavy equipment I need help pls guys and girls helpp mee List three ways in which the Constitution limits the powers of Congress. What is 1+1+3x3x3x3x3x90+2Get all my points What does mean??? Sentences in a paragraph shouldthe topic sentence.A. contradictB. restateC. analyzeO D. supportSUBMIT A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 24 feet. The height is 12 feet. What is the area of this section of the deck?