Answer the question above?

Answer:

S20 ≈ 4.942

Step-by-step explanation:

Sum of a geometric series is expressed as Sn = a(1-rⁿ)/1-r if r<1

a is the first term

r is the common ratio

n is the number of terms

Given the geometric series

1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}

Given a = 1,

r = 0.8/1 = 0.8²/0.8 = 0.8

n = 20 (The total number of terms in the series is 20)

Substituting this values in the formula above.

S20 = 1(1-0.8^20)/1-0.8

S20 = 1-0.01153/0.2

S20 = 0.9885/0.2

S20 ≈ 4.942

Answer: g(x) = -f(x)

Step-by-step explanation:

When we have a point (x, y) and we reflect it over the x-axis, the end result of the reflection is the point (x, -y)

In this case we have a function reflected, and we know that we can write a function as (x, f(x))

So when we reflect it, the result will be (x, g(x)) = (x, -f(x))

So we have g(x) = -f(x)

Answer:

Since there was a dilation, the two triangles will be similar. The scale factor is less than one and is a reduction, therefore, the image will be smaller than the pre-image.

Answer:

C.

Step-by-step explanation:

60° in Radians = 1.047

Using Formula

s=rθ

s= 7(1.047)

s ≈ 7.36

Answer:

it is

Step-by-step explanation:

Answer:

The interest rate = 1.68%

Step-by-step explanation:

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So 20% of the interest =£ 30.24

Let the interest be x

X0.2= 30.24

X=£ 151.2

The total interest was£ 151.2

The rate R at which generated this interest

R = (100*151.2)/(1*9000)

R= 15120/9000

R= 1.68%

The interest rate = 1.68%

Answer:

Step-by-step explanation:

item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm

You did not state the diameter or radius of the window

so, i will use 90cm as the diameter of the window

First, I'd calculate the half circumference of the window.

The formula for circumference is [tex]c = 2\pi r[/tex],

Half of it would just be [tex]c/2 = r\pi[/tex]

Since our diameter is 90 cm, our radius is 45 cm.

Circumference =

[tex]=45\pi \\= 141.37 cm[/tex]

circumference is also the same with perimeter

Answer:

141.4cm

Step-by-step explanation:

=>

please give barinlist

Answer:

x=-3 y=6

Step-by-step explanation:

it was a easyone ,don't forget to mark me as a brainlinest .☺️

Answer:

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

Step-by-step explanation:

Answer:

The greatest common factor for the first parenthesis is 3 and the greatest common factor for the second parenthesis is 2

Step-by-step explanation:

Hope this helps plz mark brainliest!

Answer:

P= $3.5x -$30

Step-by-step explanation:

Let the number of roses Thomas bought and sold be x.

Hence the total selling price would be;

$3.5 × x= $3.5x

The profit = selling price-expenses

P= $3.5x -$30

Answer:

the first one the measurement around the circle

Answer:

1. 69.15% probability that the project will be completed on day 32 or earlier

2. 15.87% probability that the project will be delayed

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation(which is the square root of the variance) [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 30, \sigma = \sqrt{16} = 4[/tex]

1. What is the probability that the project will be completed on day 32 or earlier?

This is the pvalue of Z when X = 32. So

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

[tex]Z = \frac{32 - 30}{4}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

69.15% probability that the project will be completed on day 32 or earlier

2. Suppose the official deadline for the project is 34 days. What is the probability that the project will be delayed?

This is 1 subtracted by the pvalue of Z when X = 34. So

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

[tex]Z = \frac{34 - 30}{4}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

1 - 0.8413 = 0.1587

15.87% probability that the project will be delayed

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

[tex] (240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953[/tex]

[tex] (240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047[/tex]

And the confidence interval for the difference is between:

[tex] 27.953 \leq \mu_1 -\mu_2 \leq 32.047[/tex]

Step-by-step explanation:

We have the following info given:

[tex] \bar X_1 = 240[/tex] sample mean for medium Pizzas from Prim's

[tex] \bar X_2 = 210[/tex] sample mean for medium Pizzas from Pizza Place

[tex] s_1 =8.6[/tex] sample deviation for Prim's

[tex] s_2 =5.7[/tex] sample deviation for Pizza Palca

[tex] n_1 =n_2 = 100[/tex]  sample size selected for each case

The confidence interval for the difference of means is given by:

[tex] (\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}[/tex]

And for the 95% confidence we need a significance level of [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2= 100+100-2 =98[/tex]

And the critical value would be

[tex] t_{\alpha/2}= 1.984[/tex]

And replacing we got:

[tex] (240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953[/tex]

[tex] (240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047[/tex]

And the confidence interval for the difference is between:

[tex] 27.953 \leq \mu_1 -\mu_2 \leq 32.047[/tex]

Answer:

E

Step-by-step explanation:

30 plus or minus 1.98 sqrt 8.6^2/100 + 5.7^2/100

Answer:

Population

Step-by-step explanation:

In mathematics, when we talk about the people, places, or things under consideration, we are referring to the population. The Population is the entire sum of objects in a study. When a researcher wants to study factors that concern a particular set of people, places, or things, the group under study is the population. For example, the researcher might want to do a study on the amount of food consumed by Brazilian students in the year 2019. The Brazilian students represent the population, because they are the group of people being studied.

The population under study might sometimes be difficult to study as a whole. For example, the study of the entire Brazilian students might be cumbersome. In such cases, a sample can be drawn from the population and studied, or the population narrowed down a little more, so that it can be easily studied.

Answer:

32 units

Step-by-step explanation:

The large triangle on top has an area of 20, cause 4*10 = 40

40/2 = 20.

the square on the bottom has an area of 4, well, cause 2*2 = 4.

The smaller triangle on the left has an area of 2, cause 2*2=4

4/2=2

The triangle on the right, has an area of 6, because 6*2=12

12/2=6

20+4+2+6 = 32

Answer:

32 Units =)

Step-by-step explanation:

Answer:

Future value = $755.61 ( to the nearest cent)

Step-by-step explanation:

The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:

[tex]FV = PV (1+\frac{r}{n} )^{n*t}[/tex]

where:

FV = future value = ???

PV = present value = $575

r = interest rate in decimal = 5.5% = 0.055

n = number of compounding periods per year = quarterly = 4

t = time of investment = 5 years

∴ [tex]FV = 575 (1+\frac{0.055}{4} )^{4*5}[/tex]

[tex]FV = 575 (1+0.01375)^{20}\\FV = 575 (1.01375 )^{20}\\FV = 575 * 1.3141\\FV = 755.607[/tex]

∴ Future value = $755.61 ( to the nearest cent)

Answer:

63.33% probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old

Step-by-step explanation:

A probability the number of desired outcomes divided by the number of total outcomes.

We are given the following chart:

                  Under 25 | At least 25

Chocolate: 40            |  15

Vanila:        20            | 40

Swirl:          15             | 20

What is the probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old?

There are 150 customers, which is the number of total outcomes.

Of those, 75 are at least 25 and 20 are under 25 and prefer Vanilla yogurt. So the number of desired outcomes is 75 + 20 = 95

95/150 = 0.6333

63.33% probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old

Answer:

DE= 39°

Step-by-step explanation:

(4w+ 4 )+(4w+8)= 180

Solve for w

8w + 12 = 180

8w = 180-12

8w = 168

W= 21°

(4w+ 4)+(2w+11)+DE = 180

But w= 21°

((4*21 )+4)+((2*21)+11)+DE = 180

88 + 53 + DE = 180

DE = 180-88-53

DE= 39°

Answer: 70°

Step-by-step explanation:

You can tell by the protractor that you should read from the right side because that is where the protractor starts at 0°. Lookin at the angle, the line JH is to 70°. Therefore, the measure of ∠JHG is at 70°.

Answer:

-9

Step-by-step explanation:

164-43=121

121-139=-18

-18/2=-9

Answer:

-9

Step-by-step explanation:

164= x-43

164-43=x

x=121

164-43=121

121-139=18

-18/2= -9

Answer:

k= 80%

Step-by-step explanation:

Jar A contains 4*0.45 L acid, and 4 L of a solution  of acid.

Jar B contains 5*0.48 L acid., and 5 L of a solution of acid.

Jar C contains 1*k/100 = k/100 acid, and 1 L of a solution.

50% = 0.5

For jar A.

(2/3)*k/100 L acid  is added to jar A.

Now jar A contains   4*0.45 L + (2/3)*k/100 L acid, and it has (4+2/3)L of a solution.

L solute/L solution = 0.5

[4*0.45 L + (2/3)*k/100 L]/(4+2/3)L = 0.5

[1.8 + (2k/300)]/[(12+2)/3] = 0.5

[1.8 + (2k/300)]/[14/3] = 0.5

[1.8 + (2k/300)]= 0.5*(14/3)

(2k/300) = 0.5*(14/3) - 1.8

2k = (0.5*(14/3) - 1.8)*300

k = (0.5*(14/3) - 1.8)*300/2 =80

k= 80%

We also can find k using jar B.

(1/3)k/100 L acid is added  to jar B.

Now jar B contains 5*0.48 L+ (1/3)k/100 L acid, and it has (5+1/3) L of a solution.

L solute/L solution = 0.5

[5*0.48 L+ (1/3)k/100 L ]/(5+1/3)L= 0.5

[5*0.48 + (1/3)k/100 ]/(5+1/3)= 0.5

This equation also gives k=80%

Check.

We can check at least for jar A.

Jar A has 4L solution and 4*0.45=1.8 L acid.

2/3 L of the solution from jar C was added, and now we have 4 2/3 L of solution.

(2/3)* 80%= (2/3)*0.8 acid was added from jar C.

Now we have [1.8 +(2/3)*0.8] L acid in jar A.

L solute/L solution =  [1.8 +(2/3)*0.8] L /(4 2/3) L = 0.5 or 50%  as it is given that jar A has 50% at the end.

Answer:

4

4

Step-by-step explanation:

x litres of 15% solution + y litres of 19% solution= 8 gallons of 17% solution

disinfectant content of the final solution= 8*0.17= 1.36 gallons

0.15x+0.19y=1.36

x+y= 8 ⇒ x=8-y

Answer:

z=2

Step-by-step explanation:

56-35z+17=3

73-35z=3

-35z=-70

z=2

Answer:

20 minutes

Step-by-step explanation:

Distance= 40 km

Speed= 120 km/h

Time= distance/speed= 40/120= 1/3 hour= 20 min

Answer:

Time = 0.33 hrs

Step-by-step explanation:

Given:

Speed = 120 km/hr

Distance = 40 km

Required :

Time = ?

Formula:

Speed = Distance/Time

Solution:

Time = Distance / Speed

Time = 40/120

Time = 0.33 hrs

Answer:

job cost sheet.

Step-by-step explanation:

When planning or working on a specific project/job all the actual costs that are incurred for that job are written down in the job cost sheet. This report is an entire compilation that should be created by the accounting department and then distributed to all the members of the management department who then analyze it and determine whether the job was correctly bided. This sheet  gets updated as the job is undergoing and fully completed when the job is closed.

Answer:

1/10

Step-by-step explanation:

1 + 1/2 = 1 1/2

1 - 1/8 = 7/8

1 + 1/5 = 1 1/5

1 - 1/3 = 2/3

1 + 1/10 = 1 1/10

One and one tenth is closest to one because one tenth is the smallest amount that would need to be added or taken away to get exactly one. Hope I helped!

Answer:

E

Step-by-step explanation:

Answer:

1.4650  (the first option in the list of possible answers)

Step-by-step explanation:

Start by isolating the exponential expression on one side of the equal sign, thus subtracting 2 from both sides:

[tex]2+3^x=7\\3^x=7-2\\3^x=5[/tex]

Now, in order to solve for "x", we need to lower the exponent, and for that purpose we use logarithm base "3":

[tex]3^x=5\\x=log_3(5)[/tex]

In order to find this logarithm, we use the change of base formula:

[tex]log_3(5)=\frac{log(5)}{log(3)} =1.46497...[/tex]

which rounded to four decimals gives: 1.4650

Answer:

1/8

Step-by-step explanation:

since it is divided to 8 equal parts then the first tick is 1/8

Answer:69

Step-by-step explanation:

Because i am smart.