What is the Common ratio of 10,7,4,1,-2

Answer:

$312.5

Step-by-step explanation:

Step one

given data

time = 18 months= 1.5 years

Simple Interest= $12

rate= 3.2%

Required

The Principal P

Step two:

The expression for simple interest is

SI=PRT/100

substitute

12=P*3.2*1.2/100

cross multiply

12*100= 3.84P

divide both sides by 3.8

P=1200/3.84

P=$312.5

Answer:

To label 6.5 on a number line, put the plot between the 6 and 7.

Same thing goes for 8.5, except the plot would go between the 8 and 9.

8.5 > 6.5

Step-by-step explanation:

1.) Since 8.5 and 6.5 are decimals, they are not a whole number which is why they go right in the middle of the two numbers they are behind and in front of.

2.) > means greater than, and 6.5 is smaller than 8.5 therefore we use the greater than sign, pointed towards the 8.5.

I hope this helps! :)

Answer:

9,000

5,025

Step-by-step explanation:

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

Find more exercises on measure of Triangles;

https://brainly.com/question/9524036

#SPJ1

If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

To test hypotheses about the difference between two populations means we deal with the following three cases.

1) both the populations are normal with known standard deviations.

2)both the populations are normal with unknown standard deviations.

3) both the populations are non normal in which case both the  sample sizes are necessarily large.

So, If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

To learn more about null hypothesis refer here

https://brainly.com/question/25263462

#SPJ4

Answer and Step-by-step explanation:

1 cm: 12 m

This scale reduces the size of an actual object. For example, if a car is 4 meters long in real life, it would be represented as 0.33 cm on a map that uses this scale (4 meters divided by 12).

6 ft: 10 in

This scale enlarges the size of an actual object. For example, if a room is 10 feet wide in real life, it would be represented as 60 inches on a blueprint that uses this scale (10 feet multiplied by 6).

1 km: 1000 m

This scale preserves the size of an actual object. For example, if a park is 2 kilometers wide in real life, it would be represented as 2000 meters on a map that uses this scale.

Answer:

( x + 3 ) ^2 + 78

Step-by-step explanation:

sorry no step by step explanation because i was in a rush bye have a good day :D

Answer:

227

Step-by-step explanation:

divide 5,675 with 25

(a) The iterative formula for Newton's method: xₙ₊₁ = xₙ - ((xₙ³ + a) / (3xₙ²)).

(b) The sequence converges to -a⁻³ as n approaches infinity.

(c) The convergence order of the sequence is two, as the ratio of errors between consecutive iterations converges to a constant (2/3).

(a) The iterative formula resulting from Newton's method for solving h(x) = 0 is:

xₙ₊₁ = xₙ - (h(xₙ) / h'(xₙ))

In this case, h(x) = x³ + a, so the formula becomes:

xₙ₊₁ = xₙ - ((xₙ³ + a) / (3xₙ²))

(b) To show that the sequence in (a) converges to -a⁻³, we need to demonstrate that the sequence approaches -a⁻³ as n approaches infinity.

Let's analyze the sequence by substituting xₙ₊₁ into the formula:

xₙ₊₁ = xₙ - ((xₙ³ + a) / (3xₙ²))

= (3xₙ³ - xₙ³ - a) / (3xₙ²)

= (2xₙ³ - a) / (3xₙ²)

To prove convergence to -a⁻³, we assume the limit of xₙ as n approaches infinity to be equal to -a⁻³. Therefore, we have:

lim(xₙ) as n → ∞ = -a⁻³

Now let's find the limit of xₙ₊₁ as n approaches infinity:

lim(xₙ₊₁) as n → ∞ = lim[(2xₙ³ - a) / (3xₙ²)]

= [2(-a⁻³)³ - a] / [3(-a⁻³)²]

= (-2a - a) / (3a²)

= -3a / (3a²)

= -a⁻³

We can see that the limit of xₙ₊₁ is also -a⁻³. Therefore, the sequence converges to -a⁻³.

(c) To show that the convergence order of the sequence is two, we need to demonstrate that the ratio of the errors between consecutive iterations converges to a constant.

Let εₙ be the error at the nth iteration:

εₙ = xₙ - (-a⁻³)

Substituting xₙ₊₁ into the iterative formula:

εₙ₊₁ = xₙ₊₁ - (-a⁻³)

= xₙ - ((xₙ³ + a) / (3xₙ²)) + a⁻³

Now let's find the ratio of errors:

rₙ = εₙ₊₁ / εₙ

= [xₙ - ((xₙ³ + a) / (3xₙ²)) + a⁻³] / [xₙ - (-a⁻³)]

= [(3xₙ⁴ - xₙ³ - a) / (3xₙ²)] / (3xₙ⁴ / (3xₙ²))

= (3xₙ⁴ - xₙ³ - a) / (3xₙ⁴)

Taking the limit of rₙ as n approaches infinity:

lim(rₙ) as n → ∞ = lim[(3xₙ⁴ - xₙ³ - a) / (3xₙ⁴)]

= (3(-a⁻³)⁴ - (-a⁻³)³ - a) / (3(-a⁻³)⁴)

= (3a⁻⁴ + a⁻³ - a) / (3a⁻⁴)

= 2a⁻³ / (3a⁻⁴)

= 2/3

Since the limit of rₙ is a non-zero constant (2/3), the convergence order of the sequence is two.

Learn more about Iterative formula here: brainly.com/question/27751920

#SPJ11

The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

B:6

Step-by-step explanation:

Which is 6 different 3- digit numbers.

I hope this helped you!

Please put brainliest :)

A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

Learn more about biased sample here https://brainly.com/question/32699093

#SPJ11

Answer:

x = 100

Step-by-step explanation:

This problem can be solved if you ignore line DC.

We know that angle FED + angle DEB = angle FEB = 100

Now, if you ignore line DC, you realize that FEB and AEG are vertical angles(opposite angles of 2 intersecting lines). This means that FEB is actually congruent to AEG.

So therefore:

x = AEG = FEB = 100

answer:

53

explanation

The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is;

⇒ - 9 + 7x < 47

Now, Solve the expression as;

The inequality is;

⇒ - 9 + 7x < 47

Solve as;

⇒ - 9 + 7x < 47

Add 9 both side;

⇒ - 9 + 7x + 9 < 47 + 9

⇒ 7x < 56

Divide by 7, we get;

⇒ 7x/7 < 56/7

⇒ x < 8

Therefore, The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

Learn more about the inequality visit:

https://brainly.com/question/25275758

#SPJ1

Answer:

731 of the projects received a ribbon.

Step-by-step explanation:

850 x 0.86 = 731

Hope this helps!

Answer:

\(\frac{9\pm\sqrt{61}}{2}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)

Answer:

Variable income is amount of money a person receives that changes over an amount of time, or changes according to the situation. The Commissions and interest on investments or savings might be examples of variable income.

Step-by-step explanation:

Answer:

"Variable income means earned or unearned income that is not always received in the same amount each month."

Step-by-step explanation:

Answer:

The discount was \(47\frac{6}{7}\)%

Step-by-step explanation:

In order to find out the discount will have to do the following.

First find out what part of the origin price was taken of, so we create a fraction with the denominator being the original price and the numerator being the difference between the original price and the discount price. So we do.....

\(\frac{28.00-14.60}{28.00} = \frac{2800 - 1460}{2800} = \frac{1340}{2800} = \frac{67}{140}\)

Now we have to find a fraction with the same value but with the denominator being a 100, so we do.....

\(\frac{67 / 1.4}{140/1.4}= \frac{47\frac{6}{7} }{100}\)

From this we know that the the discount in percentages will be equal to \(47\frac{6}{7}\)%

Answer:

52.1428571429

Step-by-step explanation:

14.60 × 100 = 1460

1460 ÷ 28 = 52.1428571429

This is because as the sample size increases, the confidence interval becomes more precise and thus narrower.

When the level of confidence and sample standard deviation remains the same, a confidence interval for a population mean based on a sample of n = 100 will be narrower than a confidence interval for a population mean based on a sample of n = 50. This is because larger sample sizes typically result in more precise estimates of the population mean, leading to a smaller margin of error and therefore a narrower confidence interval.
This is because as the sample size increases, the confidence interval becomes more precise and thus narrower.

LEARN MORE ABOUT confidence interval

https://brainly.com/question/24131141

#SPJ11

plan b would save you money for international calls of less than 285.7 minutes.

To determine the range of minutes for which plan b would save you money, we need to find the point at which the cost of plan b becomes less than the cost of plan a.

Let's assume x represents the number of minutes.

For plan a, the cost is $25 per month plus 5 cents per minute, which can be expressed as 25 + 0.05x.
For plan b, the cost is $5 per month plus 12 cents per minute, which can be expressed as 5 + 0.12x.

To find the range, we need to solve the inequality 5 + 0.12x < 25 + 0.05x.
Simplifying, we get 0.12x - 0.05x < 25 - 5, which becomes 0.07x < 20.
Dividing both sides by 0.07, we find x < 285.7.

Therefore, plan b would save you money for any range of minutes less than 285.7 minutes.

In conclusion, plan b would save you money for international calls of less than 285.7 minutes.

To know more about minutes visit:

brainly.com/question/32674197

#SPJ11

The probability that 45 or more people in this sample have consumed alcoholic beverages is 0.0516, or about 5.16 percent.

The probability that 45 or more people in a sample have consumed alcoholic beverages can be determined using normal distribution, as the sample size is sufficiently large. The distribution is also normal because of the large sample size. Using the normal distribution table or a calculator, the probability can be determined. The formula is:

P(X > 44.5) = 1 - P(X ≤ 44.5) = 1 - 0.9484 = 0.0516, approximately.

(Note: We use 44.5 because it is the midpoint of the interval 44.5 to 45.5, which is the one that includes 45.)

Therefore, the probability that 45 or more people in this sample have consumed alcoholic beverages is 0.0516, or about 5.16 percent.

To learn more about probability refer :

https://brainly.com/question/31197941

#SPJ11

Answer:

320

Step-by-step explanation:

Answer:

320 MP3 players

Step-by-step explanation:

4/50 MP3 players are defective

Multiply by 80 to get the whole shipment

4/50 x 80 = 320/4000

Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

Answer:

1164.1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Cause 4×8 is 32.Am I right.Hpoe it helps.

Answer:

n=4

Step-by-step explanation:

n * 8 = 32

Do it backwards now

32 / 8 to make 4.\To check,

4*8 = 32

The system of inequalities on the graph is:

y ≤ 2

y > 2x - 4

Here we have the graph of a system of inequalites.

First, we can see a solid horizontal line, such that the shaded region is below that line, then one of the two inequalities will be:

y ≤ 2

And then we have a dashed line with a slope of 2 and an y-intercept of -4, this time the region above the line is shaded.

y > 2x - 4

Then the system of inequalities on the graph is:

y ≤ 2

y > 2x - 4

I can notice that this system does not appear on the options, so there may be a mistake in the options.

Learn more about systems of inequalities:

https://brainly.com/question/9774970

#SPJ1

The expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable.

a) No, X and Y are not independent since the lifetime of a part (Y) is modeled by X.

b) The joint PDF fX,Y(x,y) = x-1exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.

c) P[Y < 1] = 1 - exp(-x) for 1 ≤ x ≤ 2.

d) The marginal PDF fY(y) = exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.

e) The expected value of Y using fY(y) is 1/x for 1 ≤ x ≤ 2.

f) The conditional expected value of Y given X = x is 1/x for 1 ≤ x ≤ 2.

g) Using E[Y] = E[E[Y∣X]], the expected value of Y is 1.

h) The expected value of X + Y is 2.

i) The expected value of XY is 1.

To learn more about “expected value” refer to the https://brainly.com/question/15858152

#SPJ11