Evaluate the following to four decimal places

Sin 23.4 degrees

Answer:

2006

Step-by-step explanation:

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Answer:

D

Step-by-step explanation:

D is the best answer becuase the graph would keep going up and then 5 and 35 would make a point

Answer:

D

Step-by-step explanation:

5 pizzas = $35

35 ÷ 5 = 7

1 pizza = $7

Answer:

So the value of b is 7

Step-by-step explanation:

We can use the formula for the slope of a line given two points:

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

where (x1, y1) and (x2, y2) are the two points on the line. We can plug in the given points (-2, B) and (B, 5) to get:

-2/9 = (5 - B)/(B - (-2)) = (5 - B)/(B + 2)

Multiplying both sides by (B + 2), we get:

-2(B + 2) = 9(5 - B)

Expanding and simplifying, we get:

-2B - 4 = 45 - 9B

7B = 49

B = 7

Given the Right Triangle shown in the picture (a Right Triangle has an angle that measures 90 degrees) you can find the length of the missing side "x" by using this Trigonometric Function:

In this case, you can identify that:

Then, you can substitute values and solve for "x":

Hence, the answer is:

Answer:

Numbers can either be positive or negative. ... Adding and multiplying combinations of positive and negative numbers can cause confusion and so care must be taken. Addition and Subtraction. Two 'pluses' make a plus, two 'minuses' make a plus. A plus and a minus make a minus.

The rate of interest is 7.7 %  if £9000 has a final value of £13102 in 5 years

When interest is compounding, it indicates that the balance as a whole, rather than just the principal, is taken into account when the following interest period begins.

For instance, after a year, a $100 loan with 5% annual compound interest will have a debt of $105 due. The interest will be applied to the entire $105, creating a new amount of $110.25 the next year, rather than being taken as 5% of $100.

The interest will be added to that $110.25 the following year, and so on throughout the loan.

This is distinct from simple interest, which is a periodic payment to the loan holder of a fixed sum of money derived from a percentage of the principal

We have given that the final amount is 13102 and the principal amount is 9000 and time n is 5 years we have to find the rate

We have the formula

\(A=p(1-\frac{r}{100})^n\)

A= 13102

P=9000

n=5

r = ?

\(13102=9000(1-\frac{r}{100})^5\\\\1.455=(1-\frac{r}{100})^5\\\\1.077=1-\frac{r}{100}\\\\r=7.7\)

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Answer:

Step-by-step explanation:

11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * \(10^{12}\)

also looks like this                             1,307,674,368,000

20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * \(10^{18}\)

also looks like this                             2,432,902,008,000,000,000

8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680

10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*\(10^{17}\)

Answer:

y = -1/16 (x-3)^2 - 1: This is the vertex form

y = -1/16x^2 + 6/16x - 25/16: This is the standard form.

Step-by-step explanation:

Got the answer right when I did the question.

Answer:

use this link it is a parabola solver https://www.emathhelp.net/calculators/algebra-2/parabola-calculator/

Step-by-step explanation:

Step-by-step explanation:

a=31

b=27

A = 46 degree

now, Area of ️ABC =ab siny÷2

=31×27 sin46÷2

=301.04371 .

Answer:

The ratio for the first print job is 150/30 = 5 pages per second.

The ratio for the second print job is 130/20 = 6.5 pages per second.

Since the ratios are different, the data do not represent a proportional relationship. In a proportional relationship, the ratio between two variables remains constant.

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

Every straight line's angle measurement is 180 degrees, so if one angle is 77 degrees, the other must be 103 degrees to equal 180. (77+103=180)

Hope this helps!

Answer:

3x - y = 10

Step-by-step explanation:

y-5 = 3(x-5)

y - 5 = 3x-15

-3x+y= -10

3x - y = 10

One way Olivia might have moved ABCDE onto A"B"C"D"E" is by first reflecting ABCDE over the x-axis, and then translating it 4 units to the left and 6 units down.

1) This would map point A to A", B to B", C to C", D to D", and E to E", creating A"B"C"D"E".

2) Angelica's transformation does not result in a figure that matches A"B"C"D"E". Reflecting ABCDE over the y-axis would map point A to A", B to E", C to D", D to C", and E to B", so the shape would be flipped horizontally. Translating it up 8 units would then shift the shape up, but it would still be horizontally flipped, so it would not match A"B"C"D"E".

3) Michael's claim is not correct. Translating ABCDE diagonally 8 units up and 10 units right would move point A to point J, which is not on A"B"C"D"E". The other points would also not be in their correct positions, so the resulting shape would not match A"B"C"D"E". To get to A"B"C"D"E" with one transformation, Michael would need to use a combination of translation, rotation, and/or reflection.

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Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

700 copies would cost $121

Given that 125 copies cost $29.00, and 175 copies cost $37.00.

Since the cost is a linear function, we use the formula:

So,

700 copies would cost $121

The proof is incorrect and step number 3 is the first unjustified step due to missing prior step.

A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

The step 3 in the given explanation is unjustified step. The step needs to be place at the last in order to take in consideration all the steps and properties of a rectangle.

Hence, the proof is incorrect and step number 3 is the first unjustified step due to missing prior step.

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Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

The common features of f(x) = 2x² + 7x + 6 and g(x) = 2^x + 5 are

The functions are given as:

f(x) = 2x² + 7x + 6

g(x) = 2^x + 5

See attachment for the graphs of both functions.

From the attached graph, we have the following common features

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Answer:

30 and 60 degrees

Step-by-step explanation:

30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.

Complementary angles are angles that add up to 90 degrees.

Angle one = x

Angle two = 2x

2x + x = 90 degrees

Combine like terms.

3x = 90 degrees.

Divide both sides by 3

x = 30

Angle one = x = 30 degrees

Angle two = 2x = 2(30) = 60 degrees.

To reflect a point over the y-axis, you have to reverse the sign of the x-coordinate, the y-coordinate remains the same.

For example for a point P with coordinates (x,y) the reflection is

Original point → y-axis reflection

P(x,y) → P'(-x,y)

For the point (2,-4) the reflection over the y-axis is:

(2,-4) → (-2,-4)

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

2. A is false

   B is false

   C is false

   D is true

11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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Answer:

9

Step-by-step explanation:

Answer:

4710

Step-by-step explanation:

6580 minus

1870

4710