Solve for this angle.

X+87° 2x° i have to solve for the angle with the 2 on it

Since we don't know the specific income of each person in the sample, we don't know for sure if the median will change. Nevertheless, the mean will surely raise.

Since the current average income is $10,000, if one of them gets a raise of $10,000, then the sum of all incomes would be $100,000+$10,000=$110,000. And the new average income will be:

Then, the mean increases by $1,000, and we can't say anything about the median.

Central angle of 135 degrees = 135 (Pi/180) = (3/4)Pi = 2.356 radians

First answer:

Central angle = 2.356 radians

Arc lenght = 2 Pi r (angle/360), in this case:

82 = 2 Pi r (135/360) = 2 Pi r (3/8) = (3/4) Pi r

82 = (3/4) Pi r

r = 82/(3/4)Pi = 82/2.35619449

r = 34.80188089

Second answer:

Radius = 34.8 miles

Let's begin by listing out the information given to us:

Mean = $8,000, SD = $1,500

In a sample of 300, how many pay more than $6440?

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

Thus, the centra angle of that shaded area is 72º

d93 /dx93 *(cos x) = - sin x

Now,

d/dx (cos x ) = -Sin x

d2/dx2 (cos x) = - cos x

d3/dx3 (cos x) = sin x

d4/dx4 (cos x) = cos x

d5/dx5 (cos x) = - sin x

d6/dx6 (cos x) = -cos x

The same pattern will repeat for every 6th derivative so ,

Now,

93 = (4 x 23) + 1

Therefore,

d93 /dx93 *(cos x) = - sin x

To know more about Derivative

Refer this link:

https://brainly.com/question/23819325

#SPJ1

Solution

Step 1

The terminal side, containing point (-3, 4) is located in Quadrant 2.

sine is positive

cosine and tangent are both negative.

Step 2

Draw a diagram to illustrate the information

Step 3

Step 4:

Final answer

Answer:

x = 50

Step-by-step explanation:

50 x 3 - 15 = 135

an octagon has 8 sides & 8 angles. 135 x 8 = 1,080 which is the amount of degrees an octagon equals.

Answer:

50

Step-by-step explanation:

Total angles in an octagon is 1080

Because there are 8 sides you must divide 1080/8 to find the angle of one side ... 1080/8 = 135

3x-15=135

1) 135+15 = 150

2)150/3=50

Hope this helps, have a great day!

The graph of y = 3x² + 7x + m will have two x-intercepts if m < 49/12.

The given function is,

y = 3x² + 7x + m

Having two x-intercepts means that the value of y should be 0.

So, we can write,

3x² + 7x + m = 0

Now, this has become a quadratic equation and it will have two zeroes according to the question,

As we know, the condition of quadratic to have two different values of x is,

0 < √(b²-4ac)

Where,

a = 3

b = 7

c =m

Putting all the values,

√(7²-4(3)(m)) > 0

Squaring both sides,

7²-4(3)(m) > 0

49-12m > 0

49/12 > m.

So, the graph will have two intercepts if m < 49/12.

To know more about Quadratic equation, visit,

https://brainly.com/question/28038123

#SPJ9

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constan of proportionality

therefore

in this problem

y=x

because, the value of k =1

Based on the information given, the standard deviation for the observation is: 23.802698 or approximately 24.

The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

The formula for Standard deviation is given as:

σ[tex]= \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} .[/tex]

Where

σ = population standard deviation

[tex]\bar x[/tex] =  mean

x = each value of the population

n = number of observation

Note that mean ([tex]\bar x[/tex]) = [tex]\( \frac{1}{n} \sum_{i=i}^{n} x_{i} \),[/tex]

[tex]\bar x[/tex] = (5+10+10+10+10+12+15+20+20+25+30+30+40+40+60+60+65+70+70+70)/20

= 33.6

Hence the standard deviation for travel times for these  20 New York workers is:

Standard Deviation = [tex]\sqrt{\frac{\sum(x_{1} - {\bar x})^{2} }{n-1} }[/tex]

= √ [(5-33.6)²+ (10 - 33.6)² + .... + (70 - 33.6)²]/(20-1)]

Standard Deviation = √(10764.8)/(20-1)

SD = √(10764.8/19)
SD = √566.56842
SD = 23.802698

Learn more about Standard Deviation:
https://brainly.com/question/475676
#SPJ1

Full Question:

How long do people spend traveling to work? The answer may depend on where they live here are the travel times in minutes for 20 workers in New York chosen at random by the census bureau:

5 10 10 10 10 12 15 20 20 25 30 30 40 40 60 60 65 70 70 70

What is the standard deviation for travel time for these 20 New York state workers?

The minimum result (to 2 dp) of a / b is 38.66

Given:

a=460 rounded to the nearest 10

b=11.9

Now, substitute the values of a and b in a/b,

a/b = 460/11.9

Multiply the same integer(10) by both the numerator and denominator,

a/b = 4600/119

Round the number obtained

a/b ≅ 38.66

To learn more about rounding decimals visit:

https://brainly.com/question/13770090

#SPJ10

Answer:

9 cm

Explanation:

We are given the following information:

Diameter = 24 cm

Angle FOG = 3/4 rad

The formula for calculating arc length is written below:

Therefore, the arc length is 9 cm

Answer:

m=1

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

We are working with multiplications and divisions, which have no precedence over each other. So we can do the operations in order. It is important to remind that in these operations, if two numbers have different signals, the result of the operation is negative, otherwise, positive.

-36 ÷ 1/4

Different signals, so the result will be negative

-36 ÷ 1/4 • (-1/8) = -144 * (-1/8)

Same signal, so positive

-36 ÷ 1/4 • (-1/8) • (-3) = 18 * (-3) = -54

-36 ÷ 1/4 • (-1/8) • (-3) ÷ 6​ = -54 ÷ 6​ = -9

The largest of three consecutive odd integers whose sum is 111 is 39

Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." As a result, fractions and decimals are not included in integers.

Odd integers that follow each other grow (or shrink) by a factor of 2. Consider the numbers 1, 3, and 5. Add two to the preceding number to move from one to the following. You don't know where to begin, and that is the issue here. In actuality, you are searching for the least of the three integers, therefore this is your unknown.

x + (x + 2) + (x + 4) = 111

x + x + 2 + x + 4 = 111

3x + 6 = 111

3x = 105

x =[tex]\frac{105}{3}[/tex]

x = 35

35 ,37,39

The largest of three consecutive odd integers whose sum is 111 is 39

To learn more about integers visit :

https://brainly.com/question/1768254

#SPJ10

The value of of angle x of the circumscribing circle is x° = 140°

In the above question, the following figure is given, where

The angle inside the circle made by the intersection of two line segments is = 40°

We need to find the angle x made by the angle made by the tangents outside the circle

A line that touches a curve or a circle at one point is said to be tangent.

The point of tangency is the intersection of the tangent line and the curve.

We'll find the value of of angle x using the theorems of the circumscribing   circle.

The sum of opposite angles of a circumscribing quadrilateral is always 180°

Using this property we can write,

40° + x° = 180°

x° = 180° - 40°

x° = 140°

Hence, the value of of angle x using the theorems of the circumscribing   circle is x° = 140°

To learn more about, circle here

https://brainly.com/question/11833983

#SPJ1

The critical value of the given function is = -11/2

The x values for which f'(x) = 0 are the crucial values of a function f(x).

The function in this quandary is:

h(x) = x−1⁄3 (x − 12)

The derivative is discovered using the quotient rule as follows:

[tex]h(x) = \frac{x - 1}{3(x - 12)} \\\\h'(x) = \frac{ (x-1) (3x - 36)' - (x - 1)'(3x - 36)}{(3x - 36)^{2} }\\\\h'(x) = \frac{ (x-1) (3) - (-1)(3x - 36)}{(3x - 36)^{2} }\\\\On equating it to 0\\\\\frac{ (x-1) (3) + 1(3x - 36)}{(3x - 36)^{2} } = 0\\\\3x - 3 + 3x + 36 = 0\\\\6x + 33 = 0\\\\x = \frac{-11}{2}[/tex]

To learn more about critical numbers from given link

https://brainly.com/question/12958088

#SPJ9

Remember that

27=(3)(3)(3)=3^3

so

answer is 9

so

9 NA

blank 1 ------> 9

blank 2 ------> NA

The parabola y = - 0.5x² + 2 opens downwards and the vertex is at (0,2) .

A parabola is a mirror-symmetric planar curve with a rough U-shape. It can be defined by many seemingly unrelated mathematical descriptions that all relate to the same curves.

One way to interpret a parabola is with a line and a point (the focus) (the directrix). The directrix is less significant. The parabola lies between the directrix or the focus and the endpoints in this plane that are uniformly spaced apart.

a) y=-0.5x² + 2 vertex is at (0,2)

c) y = -0.1x² - 6 vertex at (0,6)

d)y=x²+4 vertex at (0,-4)

e) y=-3x²-5 vertex at (0,5)

g)y=8x²+4 vertex at (0,-4)

h) y=-0.7x²-3 vertex at (0,3)

A parabola can also be thought of as a conic section formed by joining a right circular conical area with a plane perpendicular to another axis.

The graph of the parabola is attached below.

To learn more about parabola visit:

brainly.com/question/21685473

#SPJ9

Total of flights on time: 22 + 53 = 75

probability that the flight selected was silicon Rosa United Airlines:

53/75 = 0.71 = 71%

Notice that we are dealing with simple interest, and therefore given by the formula:

I = P * R * T

where P = $34,011

R = 6% in "decimal" form (0.06)

T = 4 (for 4 years)

Then, we have:

I = 34011 * 0.06 * 4 = $8162.64

This is the interest Brittany earned in 4 years.

We have

Option C

Part a: time when object hit the ground is 10.5 sec.

Part b: The height of the object 3 seconds is 1632 ft.

For the given question;

The equation that models the height f(t) (in feet) of an object t seconds after it is when dropped from the top of the tower is,

f(t) = -16t² + 1776

Part a: time when object hit the ground.

When the object hit the ground, height will be zero.

Put f(t) = 0.

0 = -16t² + 1776

-16t² = -1776

t² = 111

t = 10.5 sec.

The, time after which the object will hit the ground is 10.5 sec.

Part b: The height of the object 3 seconds;

Put t = 3 in the equation.

f(3) = -16(3)² + 1776

f(3) = 1632 ft

The height of the object after 3 sec will be 1632 ft.

Thus, the values for the object hitting the ground are found.

To know more about the equation of motion, here

https://brainly.com/question/28500560

#SPJ13

Answer:

Explanation:

Here, we want to get the expression that is equivalent to the given expression

We have this as follows:

Now, we can rewrite the overall expression as:

Answer: (x, y) = (-8/5, -9/5)

Answer:

127160224

or use a calculator

Answer:

$33,187

Step-by-step explanation:

Our total is 71,482 so let's set our equation to 71482=_________

Now we have $38,295 for one car, and we will subtract it from the total to find the other car, as there are 2 cars.

Equation:

71482-38295=x OR 71482=38295+x

X is the cost of the second car.

Answer:

since the method is deemed to have no effect

which means probability of having a girl child is same as having a boy child which is 0.5

Total births = 18

Therefore, expected number of girls in groups should be equal to = 0.5 × 18 = 9

I hope this is helpful