What is the approximate length of arc S on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

Answer:

Step-by-step explanation:

Part A: (3,2)

connect all the points on the paper

Part B: 5 units.  We know this since the x point for A is -2 and the point for B is 3.  -2 to 3(absolute value of -2 plus 3)= 5

Answer:

32%

Step-by-step explanation:

Let x be the mean of the values and σ their standard deviation.

Since the minimum value of the diameter of the washers is 1.53 mm, then

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

x - σ = 1.53 mm

+

x + σ = 1.65 mm  

2x = 3.18

x = 3.18/2

x = 1.59 mm

Subtracting (1) and (2), we have

x - σ = 1.53 mm

-

x + σ = 1.65 mm  

-2σ = -0.12

σ = -0.12/-2

σ = 0.06 mm

Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%

This question is based on the percentage. Thus, 32%  of washers will the factory have to discard.

Given:

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.

We need to determined the percentage of washers will the factory have to discard.

According to question,

Let x be the mean and σ be their standard deviation.

The minimum value of the diameter of the washers is 1.53 mm.

Then,

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

   x - σ = 1.53 mm  

+  x + σ = 1.65 mm  

⇒ 2x = 3.18

We get,

x = 1.59 mm

Subtracting (1) and (2), we have

 x - σ = 1.53 mm

- x + σ = 1.65 mm  

⇒ -2σ = -0.12

We get,

σ = 0.06 mm

Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.

And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.

Thus, 32%  of washers will the factory have to discard.

For more details, prefer this link:

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Answer:

The mass of the larger hummingbird is 7 1/2 or 15/2.

Step-by-step explanation:

Bee hummingbird = 1 1/4g

Larger hummingbird = 6x that

So,

1 1/4 x 6 = 7.5

7.5 as fraction = 7 1/2 or 15/2

Answer:

y= 2x+1.10

y=x+3.05

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Use the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-3 - 2) / (5 - 3)

m = -5/2

Answer:

Hope this helps!

Step-by-step explanation:

We will need the loan payment formula:

That formula is really complex and we expect you to solve it.

Your monthly payment would be $1.93 per month for 6 years making the TOTAL loan cost 1.93 * 12 * 6 = 138.96

Since the principal you borrowed is $120 the total interest =

(138.96 minus 120.00) which equals $18.96

Answer:

The answer is 36

Step-by-step explanation:

120*0.05=6

6.6=36

Answer:

H

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

3 times 2 and x in each row

which equals to 6 and 3x

Answer

angle 5 = 31°

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

Angles 1, 5, and 6 combine to form a straight line, which is 180 degrees, so add 56 and 93 and subtract that from 180

Answer:

option A is your answer okk

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Answer:  -30/13

I hope this helped!

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Answer: B. y = tan x

Step-by-step explanation:

The function whose graph is show below will be tan x. Then the correct option is B.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The secant of angle x is not defined, for some value of x. Then the domain of the sec x will be

Domain = R – (2n + 1) π/2

But the graph of the sec x looks like U. Then it is incorrect.

The tangent of angle x is not defined, for some value of x. Then the domain of the tan x will be

Domain = R – (2n + 1)π/2

Then it is correct.

The co-secant of angle x is not defined, for some value of x. Then the domain of the csc x will be

Domain = R – nπ

Then it is incorrect.

The co-tangent of angle x is not defined, for some value of x. Then the domain of the cot x will be

Domain = R – nπ

Then it is incorrect.

Then the correct option is B.

More about the trigonometry link is given below.

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Answer:

11) m<8

12) a<-64

13) f<140

14) t> or equal to 150

15) g<-18

16) y< or equal to -16

17) a> or equal to 16

Step-by-step explanation:

hope this helps

she didn't sold any large print that is the price on how she sells the prints

Answer:

B. 4.73 and 4.97

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation of 0.92, sample of 500:

This means that [tex]\sigma = 0.92, n = 500, s = \frac{0.92}{\sqrt{500}} = 0.04[/tex]

By the central limit theorem, which interval do 99.7% of the sample means fall within?

Within 3 standard deviations of the mean. So

4.85 - 3*0.04 = 4.85 - 0.12 = 4.73

4.85 + 3*0.04 = 4.85 + 0.12 = 4.97

So, option B.

Answer:

4.73 and 4.97

Please give me brainliest, I really need it.

Answer:

b ≤ 3/8

Step-by-step explanation:

Let the unknown number be b.

Translating the word problem into an algebraic expression, we have;

8b + 23 ≤ 26

Rearranging the equation, we have;

8b ≤ 26 - 23

8b ≤ 3

Dividing both sides by 8, we have;

b ≤ 3/8

Answer:

D. The function is always ingcreasing

Answer:

an outlier is a number that is at least 2 standard deviations away from the mean for example in the set 1,1,1,1,1,1,1,1,1,7,7,7 would be the outlier

Step-by-step explanation:

watashi wa sore ga tadashī koto o negatte imasu

arigatozaimasu!!

Step-by-step explanation:

i have noooo idea but ayyeee

Answer:

4 miles per hour

Step-by-step explanation:

Answer:

4mph

Step-by-step explanation:

8 divided by 2 and boom the answer.Hope this helps.

Answer:

x=6

Step-by-step explanation:

7x+5+13x-8+11x-3=180

31x-6=180

31x=186

x=186÷31

x=6

I wrote the wrong answer so I erased it

Answer:

At the moment in question, we have a 5-12-13 right triangle.

x^2 + y^2 = 13^2

2x dx/dt + 2y dy/dt = 0

2(5)(2/3) + 2(12) dy/dt = 0

dy/dt = -5/18 ft/s

the area is 1/2 xy, so

da/dt = 1/2 y dx/dt + 1/2 x dy/dt

= (1/2)((12)(2/3) + (5)(-5/18))

= 119/36

Step-by-step explanation:

Answer:

Please find attached the Box Plot Created with Microsoft Excel

The outliers are 11, and 14

Step-by-step explanation:

The given data is presented as follows;

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

From the data, we have;

The first quartile, Q₁ = 1

The second quartile, (The median) Q₂ = 2.5

The third quartile, Q₃ = 4.75

Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75

Therefore, the values above Q₃ + 1.5 × IQR are outliers

Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375

Therefore, 11, and 14 are outliers

The boxplot created with Microsoft Excel is attached

Answer:

67475

Step-by-step explanation:

Let P(t) = population t years after 2010 

            = 45230e0.02t

Population in 2030 = P(20)

                            = 45230e0.4≈ 67475

The absolute Error is 5.66%.

The discrepancy between a quantity's measured or inferred value and its actual value is known as the absolute error.

The absolute error is insufficient because it provides no information about the significance of the error. An inaccuracy of a few centimetres when estimating the kilometres between cities is insignificant and unimportant. A measurement mistake of a few centimetres when measuring tiny machine parts is a highly important defect. Although both inaccuracies are in the centimetre range, the second one is more serious than the first.

Given:

Actual Mass = 53g

and, Measure mass= 56 g

So, Absolute Error = | 56- 53 / 56| x 100

Absolute Error = |3 / 56| x 100

Absolute Error = 0.056603 x 100

Absolute Error = 5.66%

Hence, the absolute Error is 5.66%.

Learn more about Absolute Error here:

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Subtracting 3 from all measurements, it is found that:

From this, we have that:

More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602

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Answer:

48 meals

Step-by-step explanation:

36lbs ÷ 3/4lbs = 48

Answer:

ABCDE is similar to the ZWYXV