find the percentage of $133.60 of $167.00

The 1st term is 10,

2nd term is 10+15=25,

3rd term is 10+2\(\times\)15=40 and

4th term is 10+3\(\times\)15=55.

Given the first term as 10 and the 6th term as 85.

From the arithmetic sequence

The series where the common difference between any two next words stays constant is known as an arithmetic sequence.

As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number.

Formula is \(a_{n} =a+(n-1)d\) where d=\(a_{n} -a_{n-1}\).

So, we can write a=10

6th term is 85

a+5d=85

10+5d=85

5d=85-10

5d=75

d=15

Therefore, the 1st term is 10,

2nd term is 10+15=25,

3rd term is 10+2\(\times\)15=40 and

4th term is 10+3\(\times\)15=55.

To learn more about Arithmetic operation visit: https://brainly.com/question/25834626

#SPJ1

Answer: false

Step-by-step explanation:

1. FALSE. If X and Y are independent, then P(X=x, Y=y) = P(X=x)*P(Y=y). So, the value is not 0 in general. In fact, it holds value if at least one of P(X=x) and P(Y=y) posses value 0. 2. TRUE. An event and its complement event constitutes the total s

True, for any two random variables x and y, -1 < p < 1.

The value p represents the correlation coefficient between two random variables x and y. The correlation coefficient measures the strength and direction of the linear relationship between the variables. The range of p is between -1 and 1. If p is closer to -1, it implies that there is a strong negative correlation between x and y, meaning that as x increases, y decreases. If p is closer to 1, it implies that there is a strong positive correlation between x and y, meaning that as x increases, y also increases. If p is 0, it implies that there is no correlation between x and y.

Therefore, for any two random variables x and y, -1 < p < 1, as the correlation coefficient p must fall within this range.

To know more about correlation coefficient visit:

https://brainly.com/question/27226153

#SPJ11

Alex can find the product by shading 5 sections in each row. In this way, each shaded row represents 5/6.

Now, to find the product, Alex has to add the shaded values, that is,

Answer:

Step-by-step explanation:

yes no yes

Answer:

x = 84

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a pentagon has 5 sides , so n = 5

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

x + x + 20 + x + 20 + x + 40 + x + 40 = 540

5x + 120 = 540 ( subtract 120 from both sides )

5x = 420 ( divide both sides by 5 )

x = 84

The lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is attached

From the question, we have the following parameters that can be used in our computation:

–3x – 2 = 2x + 8

The above equation can be splitted by introducing the variable y

using the above as a guide, we have the following:

y = –3x – 2

y = 2x + 8

This means that the lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is added as an attachment

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

The term refers to a process that is deployed to ensure the confidentiality and integrity of data while being stored or when it is transmitted is called "Encryption".

Data encryption is a computational procedure that converts plaintext/cleartext (unencrypted, readable data) in ciphertext (encrypted data), which is only available to authorised users with the correct cryptographic key.

Some key features regarding the encryption are-

To know more about encryption, here

https://brainly.com/question/4280766

#SPJ4

Hiero earns $17.50 per hour and worked 41 hours this week. Under the Fair Labor Standards Act (FLSA), non-exempt employees are entitled to receive overtime pay at a rate of 1.5 times their regular pay for hours worked beyond 40 hours in a workweek.

To calculate Hiero's regular pay for the week, we multiply his hourly rate by the number of regular hours worked, which is 40 hours in this case. Therefore, Hiero's regular pay for the week is:

Regular pay = Hourly rate x Regular hours worked

Regular pay = $17.50 x 40

Regular pay = $700

Now, to determine whether Hiero is eligible for overtime pay, we subtract the number of regular hours worked from the total number of hours worked. In this case, the total number of hours worked is 41. Therefore, Hiero worked 1 hour of overtime, for which he is entitled to receive overtime pay.

To calculate Hiero's overtime pay, we multiply his hourly rate by 1.5 and then by the number of overtime hours worked, which is 1 hour in this case. Therefore, Hiero's overtime pay for the week is:

Overtime pay = Hourly rate x 1.5 x Overtime hours worked

Overtime pay = $17.50 x 1.5 x 1

Overtime pay = $26.25

Therefore, Hiero's total pay for the week, including regular pay and overtime pay, is:

Total pay = Regular pay + Overtime pay

Total pay = $700 + $26.25

Total pay = $726.25

Hiero's regular pay for the week is $700.

For more details about rate click here:

https://brainly.com/question/14731228#

#SPJ11

The slope of the normal line to the graph of f(x)=4x^2+2 at (1,6) is -8.

The derivative of f(x) is f'(x) = 8x, so f'(1) = 8. Therefore, the slope of the tangent line to the graph of f(x) at (1,6) is f'(1) = 8. The slope of the normal line to the graph of f(x) at (1,6) is then -1/f'(1) = -1/8.

Using the point-slope form of a line, the equation of the normal line to the graph of f(x) at (1,6) is y-6 = (-1/8)(x-1). Simplifying, we get y = (-1/8)x + 49/8. Therefore, the slope of the normal line to the graph of f(x) at (1,6) is -8.

For more questions like Slope click the link below:

https://brainly.com/question/360544

#SPJ11

The system of equation represented in the grpah is y < x2 – 6x – 7; y > x – 3.

The system of equations can be   described as a set of inequalities. The first inequality, y < x² - 6x - 7, represents aquadratic function, while the second inequality, y > x - 3, represents a linear function.

The system represents the region where the values of y are less than the valuesof x² - 6x - 7, and greater than the values of x - 3.

The graph of the system of equations shows the shaded region where y is less than th parabolic curve represented by y = x² - 6x - 7, and greater than the line represented by y = x - 3.

Learn more about system of equation:
https://brainly.com/question/25976025
#SPJ1

Answer:

12

Step-by-step explanation:

The y-intercept is 12 because it is at the end without a variable. If you follow the equation y=mx+b Then it would be that 12 is b. The slope is one with the variable behind it and the y-intercept is the one without no variable.

Answer:

The probability of number of success = C (n,k)p^kq^(n-k)

Step-by-step explanation:

This is the case of Bernoulli's experiment in which there are n independent trials with X number of success

The probability of number of success = C (n,k)p^kq^(n-k)

Where k = 0,1,2,3...n

The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

8/25 is the probability that more than 8 of them are strikes.

Lets simplify the problem,

We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.

The above situation can be represented through Binomial distribution;

P(X = r) = 0,1,2,3,,.....

where, n = number of trials (samples) taken = 15 pitches

           r = number of success = more than 8

          p = probability of success which in our question is probability of    

                Throwing a strike for each pitch = 0.507

LET X = Number of strikes

So, it means X ~ n = 15, p = 0.507

So, Probability that more than 8 of them are strikes = P(X > 8)

P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

After putting the values in it we get,

P = 0.323

P= 8/25 approx

8/25 is the probability that more than 8 of them are strikes.

Learn more about Probability on:

https://brainly.com/question/13604758

#SPJ4

Answer: y > 12

Step-by-step explanation:

Answer:

Divide all sides by 3:

\( \frac{36}{3} < \frac{3y}{3} \\ \\ y > 12\)

Answer:

25/4 will have to be added to "complete the square"

Step-by-step explanation:

x² - 5x - 18 = 0

x² - 5x = 18

Find the half of the coefficient of x and square it

(5/2)² = 25/4

Add 25/4 to both sides to complete the square

x² - 5x + 25/4 = 18 + 25/4

x² - 5x + 25/4 = 18(4/4) + 25/4

x² - 5x + 25/4 = 72/4 + 25/4

x² - 5x + 25/4 = (72+25)/4

x² - 5x + 25/4 = 97/4

(x - 5/2)² = 97/4

Find the square root of both sides

√(x - 5/2)² = ±√97/4

x - 5/2 = √97/2

x = √97/2 + 5/2 or x = -√97/2 + 5/2

x = 7.42443 or -2.42443

Answer:

Divide by -3

Step-by-step explanation:

The opposite of multiplication is division

Hope this helps

Angle 1 - 60 degrees

Angle 2 - 30 degrees

Angle 3 - 60 degrees

Angle 4 - 30 degrees

Hope this helped! :)

Answer:

36 my dude

Step-by-step explanation:

Answer:

h = 8 inches

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 24 and b = 6 , then

\(\frac{1}{2}\) × 6 × h = 24 , that is

3h = 24 ( divide both sides by 3 )

h = 8 inches

Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

Answer:

Step-by-step explanation:

How do location and population density affect ways of life in Central Africa? Tropical forests have low population densities since they are not fertile areas. More densely populated areas are countries in which the capital city is an economic, political, and cul- tural hub.

Answer:

Hi dear !!

area of semicircle = πr²/2

=> 3.14× 6x6 /2

3.14× 6× 3

=> 56.52 cm².

area of rectangle= l x b = 13 x 12 = 169

total area = 169 +56.52 = 225.5 cm²

600 cactus wren nests the experimenter would expect to be in the entire 200-acre preserve.

To estimate the number of cactus wren nests in the entire 200-acre preserve, we can use the ratio of the area surveyed to the number of nests found.

Let's call the number of nests in the entire 200-acre preserve "N".

The ratio of the area surveyed to the number of nests found is:

2 acres / 6 nests = 200 acres / N nests

We can use this ratio to find the number of nests in the entire 200-acre preserve:

N nests = 200 acres * (6 nests / 2 acres)

N nests = 200 * 3

N nests = 600

So the experimenter would expect to find approximately 600 cactus wren nests in the entire 200-acre preserve, assuming that the habitat is fairly uniform.

You can learn more about habitat at

https://brainly.com/question/20319955

#SPJ4

Answer:  (2,3) and (2,5) cause the relation to not be a function

Explanation:

The input x = 2 leads to y = 3 and y = 5 at the same time for both points. A function is where any input x leads to exactly one y output only. So we'd need to get rid of one of those mentioned points to be able to have a function.

If you graphed the points on the same xy grid, then you'd see (2,3) and (2,5) vertically aligned. These two points cause the vertical line test to fail. This will give a visual indication we do not have a function.

Put another way, if x repeats itself then we don't have a function. The y value is allowed to repeat. So we could have something like (1,2) and (5,2) be part of a function.

Answer:

-3/2

Step-by-step explanation:

Using the slope formula, we can find the slope of the line shown

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

    = ( -1-3)/(-3-3)

   = -4/-6

  = 2/3

A line that is perpendicular is the negative reciprocal

-1/ (2/3) = -3/2

Answer:

the slope is 0

Step-by-step explanation:

y2-y1/x2-x1=-1-3/-3-3

y=0

Answer:

The answer is 27t - 12.

Step-by-step explanation:

1) Remove parentheses.

\( \frac{1}{2} \times 18t + 2t \times 9 - 12\)

2) Use this rule: a/b × c/d = ac/bd.

\( \frac{1 \times 18t}{2} + 2t \times 9 - 12\)

3) Simplify 1 × 18t to 18t.

\( \frac{18t}{2} + 2t \times 9 - 12\)

4) Simplify 18t/2 to 9t.

\(9t + 2t \times 9 - 12\)

5) Simplify 2t × 9 to 18t.

\(9t + 18t - 12\)

6) Collect like terms.

\((9t + 18t) - 12\)

7) Simplify.

\(27t - 12\)

Thus, the answer is 27t - 12.

Answer: A

Step-by-step explanation:

Answer:

5.19 is correct

Step-by-step explanation:

Good luck on your final