How would i show the work

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

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 - 0.95}{2} = 0.025[/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 - 0.025 = 0.975[/tex], so Z = 1.96.

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.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

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

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Answer:

no solution

Step-by-step explanation:

6x + 18 < 6x + 18

0 < 0 is not a true statement, no solutions

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just add the fractions after finding the common denominator  3 times 8 = 24

Please check my math and typing for accuracy.

Week 1: 2 2/3       =  8/3  x  8/8            =   64/24

Week 2: 1/8          =  1/8   x  3/3            =   3/24

Week 3: 1 3/4       =  7/4  x  6/6            =   42/24

Week 4: 1/2          =   1/2  x  12/12         =   12/24

                                                              =   (64+3+42+12)/24

                                                              =    121/24        24 times 5 = 120

                                                              =    5 1/24

Answer:

Area of sector = 11.8 m² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 3 m

Given angle = 150°

Find:

Area of sector

Computation:

Area of sector = [θ/360][π][r]²

Area of sector = [150/360][22/7][3]²

Area of sector = [150/360][22/7][9]

Area of sector = [150/360][3.1428][9]

Area of sector = [0.4167][3.1428][9]

Area of sector = [1.345][9]

Area of sector = 11.789

Area of sector = 11.8 m² (Approx.)

Answer:

2

Step-by-step explanation:

2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6

Answer:

answer is b jejejejsjsjwj

The length of each side of a square is 10 cm.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, the perimeter of a rectangle is 2(length×width) and the perimeter of a square is 4×(side).

Given, The length and width of the rectangle are 13cm and 7 cm respectively.

Therefore, the perimeter of the rectangle is = 2(13×7) = 2×20 = 40 cm.

So, The perimeter of the square is also 40 cm.

Therefore, The length of the side is 4×side = 40.

side = 40/4.

side = 10 cm.

learn more about squares here :

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Answer:

∠A = 58°

Step-by-step explanation:

all triangles contain 180°

180° - 149° = 31°

x + 63° + x + 96° + 31° = 180°

combine like terms:

2x + 190° = 180°

2x = -10°

x = -5°

∠A = -5° + 63° = 58°

Explanation 1:

Her guinea pig is

25 cm  long.

25 cm = 250 mm

Her fish is  40 mm long, so her guinea pig is longer than her fish by

25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm

Explanation 2:

First, lets convert the length of Naomi's guinea pig from cm to mm.

1 cm=10 mm

We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.

25 × 1 cm = 25 ×  10 mm

25 cm = 250 mm

Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters

Hope this helps have a good day/night!

:21 ezz it is 21 centimeters

Answer:

Step-by-step explanation:

[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]

=> 4(x-2) = 3(x+2) [Cross Multiplication]

=> 4x - 8 = 3x + 6

=> 4x - 3x = 8 + 6

=> x = 14 (Ans)

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Answer:

<1 = 76

Step-by-step explanation:

<1 + 51 + 53 = 180

<1 + 104 = 180

<1 = 180 - 104

<1 = 76

Answer:

24 sq cm

Step-by-step explanation:

the big square is 20 and the small one is 4

Answer:

Mean: $16.1

Median: $15.00

Mode:$15.00

The mode best describes the data, so the mean is the better measure of variability.

Step-by-step explanation:

How to find the mean:

Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)

How to find the median: Order your values from least to greatest, then find the value in the center.

How to find mode: Look for the most frequent value in the data set. What value shows up the most?

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

What is the mean, median, mode?

Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.

Here given data is

$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]

Here,

Mean is the sum of all values divided by number of observation

i.e,

[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]

Median is the middle value of the data, firstly we arrange the data in ascending order

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

So, the middle value is [tex]15.50[/tex] $.

Mode is the repetition of the same number in the data

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

Then, [tex]15.00[/tex] is the mode of the given data.

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

To know more about the mean, median and mode

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Answer:

0.8015 = 80.15% probability that the student has the flu

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has high temperature.

Event B: Has the flu

Probability of a student having high temperatures:

90% of 35%(have the flu)

12% of 100 - 35 = 65%(do not have the flu). So

[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]

Probability of having high temperatures and the fly?

90% of 35%, so

[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]

If a student has a high temperature, what is the probability that the student has the flu?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]

0.8015 = 80.15% probability that the student has the flu

You only put one equation in

Answer:

1/2

Step-by-step explanation:

Since they sold 3 cupcakes of each section, it would be a 50/50 chance that the next one would be either.

Answer:

420

Step-by-step explanation:

Answer:

820          

Step-by-step explanation:

Hi so if your area is 4756, the base would be 820

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Answer:

g (1) = -5(1) -4

-5-4

-9............. .......

Step-by-step explanation:

-5(1)-4=-5-4=-9 Answer

hope it helps

You need 12 and it cost 50k

  rate of change is 1/4

Step-by-step explanation:

Answer:

that would be 39,00

Step-by-step explanation:

Answer:

39,000

Step-by-step explanation:

807 is closer to 1,000 then 0 so add another 1,000.

Have a great day!

Answer:

The answer is c : avacodos cost 5.00 each

Step-by-step explanation: