Which geometric series converges? 1 5 + 2 5 + 4 5 + 8 5 + 1 5 + 6 5 + 36 5 + 216 5 +... 1 5 +2+20+200+ 1 5 + 1 20 + 1 80 + 1 320 +.

Answer:

i predict the 150 will have defects

Step-by-step explanation:

you do 280 divided by 4 which gives you 70

then 10,500 divided by 70 which gives you

There is a probability that 150 total autos will have defects if 10,500 vehicles are inspected this month.

A chance that something might exist, happen, or be true: the state or fact of being possible.

Given, A worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars he checks, 4 have defects.

Out of 280 cars defected = 4

out of 10500 cars defected = (4* 10500) / 280

out of 10500 cars defected = 150

therefore, If 10,500 cars will be checked this month there is a possibility of getting a total number of cars that will have defects of 150.

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Answer:

B

Step-by-step explanation:

Answer:

C. 540

Step-by-step explanation:

A=2(wl+hl+hw)

The correct answer is: g(x) is compressed horizontally and reflected over the y-axis.

To understand how the graph of [tex]\( g(x) = f(-2x) \)[/tex] compares to the graph of the parent function [tex]\( f(x) = x^3 \)[/tex], we need to analyze the effects of the transformations applied to [tex]\( f(x) \)[/tex].

1. The transformation [tex]\( f(-x) \)[/tex] would reflect the graph of [tex]\( f(x) \)[/tex] over the y-axis. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( (-x, y) \)[/tex] on the graph of .

2. The transformation [tex]\( f(2x) \)[/tex] would compress the graph of [tex]\( f(x) \)[/tex] horizontally by a factor of 2. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( \left(\frac{x}{2}, y\right) \)[/tex] on the graph of [tex]\( f(2x) \)[/tex]. The x-values are halved, which means the graph is compressed along the x-axis.

Combining these two transformations, [tex]\( g(x) = f(-2x) \)[/tex] indicates that the graph of [tex]\( f(x) \)[/tex] is first compressed horizontally by a factor of 2 and then reflected over the y-axis.

Therefore, the graph of [tex]\( g(x) \)[/tex] is compressed horizontally and reflected over the y-axis when compared to the graph of the parent function [tex]\( f(x) \)[/tex].

Answer:

Area of the rectangle = [tex]35\,\,units^2[/tex]

Step-by-step explanation:

Area of the Rectangle= Product of the two Unequal sides

Finding the two unequal sides of the rectangle using the distance formula:

For the coordinates:

A(2,3)  B(9,3)  C(9,-2)  D(2,-2)

Using Distance formula:

AB=

            [tex]=\sqrt{(9-2)^2+(3-3)^2} \\\\=\sqrt{7^2+0} \\\\=\sqrt{49}\\\\ =7\,\,units[/tex]

Similarly, BC= 5 units

Area of the rectangle is:

                                 [tex]=7\times 5\\\\=35\,\,units^2[/tex]

Answer:

The answer is definitely 35

Answer: 0.3076

Step-by-step explanation:

Answer:

0.307

Step-by-step explanation:

To get rid of the 65, simply divide both sides of the equation by 65.  Thus, rounded to the nearest ten-thousandth, x = 0.307.

Answer:

1. [tex]225cm^2[/tex]

2. [tex]544mm^2[/tex]

3. [tex]405mm^2[/tex]

4. [tex]67.50cm^2[/tex]

5. [tex]495mm^2[/tex]

6. [tex]480cm^2[/tex]

Step-by-step explanation:

1. Square

[tex]A=s^2[/tex]

s = 15 cm

[tex]A=(15cm)^2\\A=225cm^2[/tex]

------------------------------------------------------------------------------

2. Rectangle

[tex]A=l*w\\A=(32mm)(17mm)\\A=544mm^2[/tex]

------------------------------------------------------------------------------

3. Rectangle

[tex]A=l*w\\A=(45mm)(9mm)\\A=405mm^2[/tex]

------------------------------------------------------------------------------

4. Triangle

[tex]A=\frac{hb}{2}\\ A=\frac{(9cm)(15cm)}{2}\\ A=\frac{135cm^2}{2}\\ A=67.50cm^2[/tex]

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5. Triangle

[tex]A=\frac{hb}{2}\\ A=\frac{(30mm)(33mm)}{2}\\ A=\frac{990mm^2}{2}\\ A=495mm^2[/tex]

------------------------------------------------------------------------------

6. Rectangle

[tex]A=l*w\\A=(34cm)(20cm)\\A=480cm^2[/tex]

Answer:

262.96 Dollars is for interest

271.91 Dollars is the monthly charged price monthly with the interest included

3262.96 Dollars is the total cost with APR

Answer:

y = x/2 + 2

Step-by-step explanation:

y = 2x - 4

swap y and x

x = 2y - 4

x + 4 = 2y

x/2 + 2 = y

Answer:

d(x) = 1/2x + 2  or  d(x) = (x + 4)/2

Step-by-step explanation:

y = 2x - 4

y + 4 = 2x

(y + 4)/2 = x

y = (x + 4)/2  or  y = 1/2x + 2

Answer:

Into 1/3 pieces

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 1 the whole pizza pie, yum

Answer:

Hello there the Correct answer is Jane should cut 2 equal pieces, as a diameter of a pizza.

Hope it helps!

From ItsNobody

Divide the yearly payout by the amount in the bank:

40,000 / 2,500,000 = 0.016

Multiply by 100 to get the percentage:

0.016 x 100 = 1.6%

The answer is D. 1.6%

The insurance company expects an interest rate of 1.6% to provide the yearly payment of $40,000, calculated by dividing the annual payment by the principal amount deposited.

The student's question asks to calculate the interest rate expected by Bette's insurance company in order to provide a yearly payment of $40,000 to her family, given that the company needs to deposit $2,500,000 into a bank account.

To find the interest rate, we can use the formula for simple interest: Interest = Principal times Rate times Time. Since we are looking for the rate and are given the annual interest (the yearly payment) and the principal (the amount deposited), we can rearrange the formula to solve for the rate: Rate = Interest / Principal / Time. Here, Interest is $40,000, Principal is $2,500,000, and Time is 1 year.

Plugging in the values gives us: Rate = $40,000 / $2,500,000 / 1 = 0.016 or 1.6%. Therefore, the expected interest rate is 1.6%, which corresponds to option D.

Answer:

The answer is -2

Step-by-step explanation:

The slope is m.

In an equation, it's shown as y=mx+b, where m is the slope and b is the y intercept.

Answer:

16

Step-by-step explanation:

Since there are 24 yellow fish and the ratio of the yellow fish to the red fish is 3:2. Then we know that 24/3=8. This means that 1 is equal to 8 fish. Since there are 2 ones for the red fish, we times 8 by 2 to get 16.

Answer:

30 [tex]ft^2[/tex]

Step-by-step explanation:

To find the area of a triangle, you must use the formula:

[tex]\frac{1}{2} bh[/tex]

The "[tex]b[/tex]," is the base (12), and the "[tex]h[/tex]," is the height (5).

Plug in the numbers accordingly:

[tex]\frac{1}{2} (12)(5)[/tex]

[tex]\frac{1}{2} (60)[/tex]

30

Answer:

Goodness, hard question... I believe it is, uh 4?

2+2=4

for eg: if u buy 2 pencils and 2 erasers then,you have total 4 stationery items

hope it will help you

Answer:

2/3 x 2/3 x 2/3 x 2/3 = 16/81

Then show decimal form = 0.19753086...

Step-by-step explanation:

Answer:.

Step-by-step explanation: Answer:

1. 0 and 1

2. about 0.6

3. 2 and 3

4. about 2.2

For the graph the solution of the system, X+2y=5, -x+3y=6

1. The integer  values of x in between -6 and 5 are (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)

2.  The x-value to the nearest tenth is 1

3.  The integer  values of y in between 0 and 3 are (1, 2)

4.  The y-value to the nearest tenth is 2

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

system of lines , X+2y=5, -x+3y=6

by plotting graph of it,

we get following conclusions,

Point of intersection is (0.6, 2.2)

1. both the lines are intersecting x axis at (-6, 0) & (5, 0)

So, integers will be  (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)

2. The coordinate of x is, 0.6

The x-value to the nearest tenth is 1

3. both the lines are intersecting y axis at (0, 2) & (0, 2.5)

So, integers will be  ( 0, 1, 2)

4. The coordinate of y is, 2.2

The y-value to the nearest tenth is 2

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Step-by-step explanation:

Step 1:  Find f(2)

[tex]f(p) = 3p - 2[/tex]

[tex]f(2) = 3(2) - 2[/tex]

[tex]f(2) = 6 - 2[/tex]

[tex]f(2) = 4[/tex]

Answer:  Option C, 4

Answer:

C. 4

Step-by-step explanation:

f(p) = 3p - 2

Is a function with:

Input: p

Output: 3p - 2

p = 2

f(2) = 3(2) - 2 = 6 - 2 = 4

Answer: c, electrons are eventlyg distributed in the water molecules.

Step-by-step explanation:

Answer:

its c on edge

Step-by-step explanation:

did the assignment

Answer:

The surface area of the sphere is about [tex]97,264.64 yd^{2}[/tex]

Step-by-step explanation:

Answer:

76,415.04

Step-by-step explanation:

Ok, first let's find how much a nickle is worth, a nickle is worth $0.05.

0.05 x 27 = $1.35

0.05 x 32 = $1.60

0.05 x 39 = $1.95

0.05 x 47 ≠ $2.45 (It's equal to $2.35)

I hope this helps!

Answer:

A

Step-by-step explanation:

i did the questions already

Answer:

Length of each side 3/2 or 1.5 square units

Step-by-step explanation:

(4^2 − 12x + 9)

=(2x-3)(2x-3)

2x-3=0

2x=3

x=3/2

The length of each side of the square by factoring in the area expression completely is 3/2.

We have given that,

The area of a square is (4x^2 − 12x + 9) square units.

We have to determine the,

Determine the length of each side of the square by factoring in the area expression completely.

Length of each side 3/2 or 1.5 square units

(4^2 − 12x + 9)

=(2x-3)(2x-3)

2x-3=0

2x=3

x=3/2

The length of each side of the square by factoring in the area expression completely is 3/2.

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Answer:

Point Q is 6 units from Point R.

Point R is 7 units from Point T.

Point T is 3 units from Point S.

The area of polygon QRSU is 42 square units.

Please mark my answer brainliest so I can move up to the next rank.

Step-by-step explanation:

Final answer:

To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, calculate the sample proportions for women and men, calculate the standard error, calculate the margin of error, and calculate the lower and upper bounds of the confidence interval.

Explanation:

To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, we can use the formula for calculating the confidence interval for a difference in proportions.

The resulting 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important would be interpreted as follows: We are 95% confident that the true difference in proportions lies between the lower and upper bounds calculated above. This means that there is a high likelihood that women place a higher value on job security compared to men, but there is still some uncertainty due to sampling variability.

We are 95% confident that the difference in the proportion of working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This indicates there is no statistically significant difference between the proportions at the 95% confidence level.

To construct a 95% confidence interval for the difference in the proportion of working women and men who consider job security very or extremely important, we will follow these steps:

1. Determine the sample proportions:

  For women:

 [tex]\[ \hat{p}_1 = \frac{702}{798} = 0.8797 \][/tex]

  For men:

 [tex]\[ \hat{p}_2 = \frac{802}{940} = 0.8521 \][/tex]

2. Calculate the difference in sample proportions:

[tex]\[ \hat{p}_1 - \hat{p}_2 = 0.8797 - 0.8521 = 0.0276 \][/tex]

3. Calculate the standard error (SE) for the difference in proportions:

  [tex]\[ SE = \sqrt{\frac{\hat{p}_1 (1 - \hat{p}_1)}{n_1} + \frac{\hat{p}_2 (1 - \hat{p}_2)}{n_2}} \][/tex]

  Plugging in the values:

  [tex]\[ SE = \sqrt{\frac{0.8797 (1 - 0.8797)}{798} + \frac{0.8521 (1 - 0.8521)}{940}} \][/tex]

 [tex]\[ SE = \sqrt{\frac{0.1059}{798} + \frac{0.1260}{940}} \][/tex]

  [tex]\[ SE = \sqrt{0.0001327 + 0.0001340} \][/tex]

  [tex]\[ SE = \sqrt{0.0002667} = 0.0163 \][/tex]

4. Determine the critical value (z*) for a 95% confidence interval:

  The critical value for a 95% confidence interval (using a standard normal distribution) is approximately 1.96.

5. Calculate the margin of error (ME):

 [tex]\[ ME = z^* \cdot SE = 1.96 \cdot 0.0163 = 0.0319 \][/tex]

6. Construct the confidence interval:

 [tex]\[ \text{Lower limit} = (\hat{p}_1 - \hat{p}_2) - ME = 0.0276 - 0.0319 = -0.0043 \][/tex]

 [tex]\[ \text{Upper limit} = (\hat{p}_1 - \hat{p}_2) + ME = 0.0276 + 0.0319 = 0.0595 \][/tex]

  So, the 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important is:

 [tex]\[ -0.0043 \text{ to } 0.0595 \][/tex]

Interpretation:

We are 95% confident that the true difference in the proportion of all working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This interval includes 0, which suggests that there is no statistically significant difference between the proportions of women and men who value job security at the 95% confidence level.

Answer:

40mm.

there are 10 mm. in a cm, so if there are 4 cm, then there are 40 mm.

Hope this helps :)

Answer:

Each postcard cost $0.7.

Step-by-step explanation:

In this problem we have two variables, the price of the postcard and the price of the stamp, since the price for the pain is known. We also have the total cost of the purchase that is $14.1. So we can create an equation as shown:

12*postcards + 12*stamps + pen = 14.1

This represents the total amount spent by Claudia, but we know that each pen costs $1.5, therefore:

12*postcards + 12*stamps + 1.5 = 14.1

12*postcards + 12*stamps = 14.1 - 1.5

12*postcards + 12*stamps = 12.6

We also know that the postcards cost twice as much as the stamps, so we have:

postcards = 2*stamps

Using this info we can solve for stams as shown below:

12*(2*stamps) + 12*stamps = 12.6

24*stamps + 12*stamps = 12.6

36*stamps = 12.6

stamps = 12.6/36

stamps = 0.35

postcards = 2*stamps = 2*0.35 = 0.7

Each postcard cost $0.7.

Answer:

the cost of a post card is $0.7

Step-by-step explanation:

Given

Number of postcard = 12

Number of stamp = 12

Number of pen = 1

Cost of a pen = $1.5

Required

Cost of each postcard..

Let P represent postcards, S represent stamps,Sp represented Pen.

Since there's a total of 12 postcard and 12 staffs, we have:

12P + 12S + 1.50 = $14.10

From the question, we have that the postcards cost twice as much as the stamps.

So, P = 2S.

Substitute 2S for P

12 * 2S+ 12S + 1.5 = 14.10

24S + 12S + 1.5. = 14.10

36S + 1.5 = 14.10

Collect like terms

36S = 14.10 - 1.5

36S = 12.6

Divide through by 36

S = 0.35

Recall that P = 2S.

So, p = 2 * 0.35

P = 0.7

Hence, the cost of a post card is $0.7

Answer:

3.57

Step-by-step explanation:

Answer:

$3.57 for each towel

Step-by-step explanation:

It is $21.42 for a 6-pack of towels, so take $21.42 and divide it by 6. Therefore, you will get $3.57 for each towel. I hope this helps! Stay safe and have a wonderful day! Peace! ✌

Answer:

The distance is 5.

Step-by-step explanation:

As you want distance, the best approach is to subtract.

My advice when you're dealing with a number line, and a negative and a positive number, is to subtract the negative from the positive, so that you get a positive distance.

Therefore:

[tex]2 - ( - 3) = 2 + 3 = 5[/tex]

Answer:

They look like they are 90° angles

Step-by-step explanation:

(What are the options?)