Solve number 3 please, with explanation

Solve Number 3 Please, With Explanation

Answers

Answer 1

Answer:

97,655

Step-by-step explanation:

5(5)^(n-1) = 78,125

5^n = 78,125

n = 7

=> S7 = 5(5^7 -1) / (5-1)

= 5/4 (78, 125 -1)

= 5/4 (78 124) = 97,655


Related Questions

Convert 10π/6 radians into degrees.

Answers

CONCEPT :

We know that ,

[tex]\pi rad = 180^o[/tex]

SOLUTION :

Using Unitary Method ,

[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]

Therefore ,

[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]

[tex]= \boxed{\red{ 300^o }}[/tex]

Required answer !

Eight trials are simulated. The results are shown in the table.


Simulation
109 105 112 110
115 106 108 109
What is the estimated margin of error, using standard deviation?

Answers

Answer:

3.33

Step-by-step explanation:

I just took the test! :D

The estimated margin of error, using standard deviation is 3.33.

What is the estimated margin of error, using standard deviation?

The margin of error shows an estimated percentage, or that surrounds a guess related to the real value of the population. For example, a confidence interval that has a margin of error tells you that your findings will be within the real population value of the time.

Typically, the higher the standard deviation, the more dispersed the data is. Understanding standard deviation is an essential part of calculating the margin of error for your data. If you do not have the value for your sample data proportion.

Standard deviation describes variability within a single sample, while standard error describes variability across multiple samples of a population. Standard deviation is a descriptive statistic that can be calculated from sample data, while standard error is an inferential statistic that can only be estimated.

Learn more about errors here:-https://brainly.com/question/11472659

#SPJ2

Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i

Answers

9514 1404 393

Answer:

  D.  28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

  (3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

  = (4 +24) +(3 -1 +8)i . . . . . . . group like terms

  = 28 +10i

Verne has 5 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny

Answers

Answer: 96

Step-by-step explanation:

Given

Verne has 5 math books to line up on a shelf

Jenny has 4 english books to line up on a shelf

No of ways Verne can arrange the books are [tex]5![/tex]

No of ways Jenny can arrange the books are [tex]4![/tex]

Difference between them

[tex]=5!-4!\\=120-24\\=96[/tex]

Thus, Verne can line up 96 more orders than Jenny

Which graph represents the equation (x – 3)2 + y2 = 16?

Answers

Sadly I see no graph but if you meant to put y^2 then it will be a parabola

Answer:

It is B on edge

Step-by-step explanation:

Which equation shows a y- intercept of -5

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

Option B) [tex]y=x-5[/tex]

»»————- ★ ————-««  

Here’s why:  

Most options (Second, Third, and Fourth) are in slope intercept form.

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}[/tex]

⸻⸻⸻⸻

We are looking for the equation where '-5' is in b's place.

⸻⸻⸻⸻

[tex]\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\[/tex]

[tex]\text{y-intercept of 1.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

express 30kmph in M/S

Answers

Step-by-step explanation:

30×5/18

25/3

=8.33 m/s

!!!!!!!!!

Answer:

I think the answer is 8.33 (rounded to 2 decimal points)

Find the length of the arc in terms of pi A 144° 10 AB = [?]​

Answers

Answer:

Arc AB = 8π

Step-by-step explanation:

Length of arc = central angle/360 × 2πr

Where,

Central angle = measure of arc AB = 144° (central angle theorem)

r = radius = 10

Length of arc AB = 144/360 × 2 × π × 10

= 8π

A rectangle has a length of (x+6) units and a width of (x - 5) units.
What is the area of the rectangle in terms of x?
A (x^2 – 30) square units
B (x^2 +30) square units
C (x^2– x+30) square units
D (x^2+– 30) square units

Answers

Answer:

x² +x  -30

Step-by-step explanation:

A = length * width = (x+6)(x-5) = x² -5x+6x-30= x²+x -30

7 x [(26 - 5) - (5 + 6)]

Answers

Answer:70x

Step-by-step explanation: FIND BY OWN

Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?

Answers

Answer:

Step-by-step explanation:

Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.

The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.

We know that to estimate the percentage of success we use the proportion of success parameter "p".

Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.

Answer:

specific "yes" or "no" responses to the survey

Step-by-step explanation:

Got it right

Cant really put it in here so look at photo Ö

Answers

42 pounds

divide the mass by 16

Answer:

42

Step-by-step explanation:

I am preety sure !

The triangular prism has a square base face of 8 cm. The perpendicular height from
the square base face is 15 cm. The surface area in square centimetres is
15 cm
8 cm
B.
248
264
A
384
C 324​

Answers

C is your answer because I did the answer when I went to the store to pick up my dog

Plz help me ..?????a........

Answers

Answer:

Hope it's correct

Step-by-step explanation:

I believe it's week 2.

Help!!!!!!Solve for X. Round to the nearest tenth of a degree, if necessary.

Answers

How do I answer⁉️⁉️!?!?

Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,045 parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the 1,045 ​surveyed, 471 indicated that they were satisfied. Construct a 99​% confidence interval to assess whether this represents evidence that​ parents' attitudes toward the quality of education have changed.

Answers

Answer:

let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.

Step-by-step explanation:

I need help with this asap thank you so much

Answers

Answer:

C

Step-by-step explanation:

Question 1

12.5 pts

1. A triangular prism is shown below. What is the volume of the triangular prism in

cubic inches?

15cm

112cm

9cm

12cm

ОА.

1,296 cm

OB.

180 cm

O C.

1,620 cm3

OD.

648 cm3

Question 2

willgive brainlest

Answers

Answer:

The volume of the triangular prism = 648 cm³

Step-by-step explanation:

Check the image uploaded for the diagram of the prism.

Given;

hypothenuse side of the triangle, = 15 cm

base of the triangle, b = 12 cm

height of the triangle, h = 9 cm

height of the prism, I = 12 cm

The volume of the triangular prism = Area of the base triangle x  height of the prism

The volume of the triangular prism = ¹/₂ x b x h x I

The volume of the triangular prism = ¹/₂ x 12 x 9 x 12

The volume of the triangular prism = 648 cm³

convert 495.05 to fraction

Answers

Answer:

495             1/20

Step-by-step explanation:

Answer:

  [tex]495.05 = \frac{49505}{100} = \frac{9901}{20}[/tex]

One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?

Answers

Answer:

2 is the probability

Step-by-step explanation:

Can someone help please? 3 |x+1|>5

Answers

Answer:

The Answer as you see

Step-by-step explanation:

Have a good luck with ur Exam

Natalie bought 4 large drinks and 4 large bags of popcorn. Each bag of popcorn cost $4.00 each and she spent $26. How much was each large drink?

WRITE AN EQUATION

HELP ASAP WILL MARK BRAINLEST

Answers

Answer:The drinks are $2.50 each

Step-by-step explanation:$4.00 x 4 = $16.00 then do $26 - $16 = 10 and 10 divided by 4 = 2.5

Select the correct answer.
Which graph models the function f(x) = 2(x – 4)^2 + 3

Answers

Answer:

the graph is going to be facing up not down

PLEASE HELP I WILL GIVE BRAINILEST which question shows The function Y equals 2^X translated four units left and two units down a y-2=2^x-4. b y+4=2^x-2. c y-4=2^x +2. d y+2 =2^x+4

Answers

the answer is b. y+4=2^x-2

Which expression is positive

Answers

Answer:

I would say none of the above

Step-by-step explanation:

When you evaluate A & B they both give you negatives So C

Good luck on Khan academy ;)

Answer:

the answer should be C

Step-by-step explanation:

the first two questions both come out to negative numbers so the only option would be the third.

Where would (2,-4) be on the coordinate plane?

Answers

Answer:

fourth quadrant

Step-by-step explanation:

Of 60 randomly chosen students from a school surveyed,16 chose aquarium as their favorite fiel trip.There are 720 students in the school.predict the number of student in the school who chose aquarium

Answers

Answer:

192 students

Step-by-step explanation:

60 randomly students surveyed

16 chose aquarium as their favorite field trip.

720 students in total.

[tex]\frac{16}{60}[/tex] = [tex]\frac{?}{720}[/tex] =

720 × 16 ÷ 60 =

192 students

Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.

Answers

Answer:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Suppose the probability at a light bulb factory of a bulb being defective is 0.11

This means that [tex]p = 0.11[/tex]

Shipment of 133 bulbs:

This means that [tex]n = 133[/tex]

Mean and standard deviation:

[tex]E(X) = np = 133*0.11 = 14.63[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]

Rounding to the nearest integers:

The number of defective bulbs in the shipment should be around 15, give or take 4.

An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year

Answers

Answer:

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $8,500

Future value (FV)= $17,323

Interest rate (i)= 4.5%

To calculate the time required for the investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(17,323/8,500) / ln(1.045)

n= 16.17 years

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.

what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent

Answers

Answer:

A = $1311 and 96cents

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]

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