Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7. The average annual temperatures (°F) from 1991 to 2000 for Illinois were 53.7, 51.9, 50.9, 51.8, 51.4, 49.9, 50.8, 55.0, 53.3, and 52.0. Use the statistics calculator to determine the measures of center for Kentucky.

Kentucky mean =

Kentucky median =

Illinois mean = 52.07

Illinois median = 51.85

Both measures of center for Kentucky are
those of Illinois.

fractional number equivalent of 2.888 is

Answer:

[tex]\frac{26}{9}[/tex] or [tex]2 \frac{8}{9}[/tex]

Step-by-step explanation:

Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.

10x = 28.8888...

x = 2.8888...

Subtracting the two equations, we have:

9x = 26

Step-by-step explanation:

part 1: the exponent is the power or the number you see ontop of n. it indicates how many times n is multiplied by itself. so for the first question n is multiplied by itself 6 times. so the answer should be n×n×n×n×n×n.

part 2 is similar to part 1.

since there is a total of 6 ns we can say that it is n^6.

feel free to ask if you need any further guidance.

Answer

2199

Step-by-step explanation:

the perimeter of the circle:

3.14 x 175 x 2= 1099

there are 2 inches in one foot

1099x12 = 13188

13188/6 inches = 2198

2198+1=2199 flowers

From calculations, the given integral ∫c x sin(y)ds is equal to [tex]20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)=0.806[/tex].

The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.

For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:

First, you should calculate the segment from the points (0, 1) and (4, 4).

segment=(4-0,4-1)=(4,3).

After that you should parametrize the segment:

r(t)=(0,1)+(4t,3t)= (4t,3t+1), where 0≤t≤1

Now, you can find dr/dt.

r'(t)=(4,3)

Consequently, the magnitude of |r'(t)| will be:

|r'(t)|  =[tex]\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25} =5[/tex]

Finally you can evaluate the integral: ∫c x sin(y)ds. From r(t), you know that x=4t and y=3t+1.

[tex]\int _0^1\:xsin\left(y\right)\:ds=\int _0^1\:4t\cdot sin\left(3t+1\right)\:\cdot 5ds=\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot ds[/tex]

Applying the Rule Integration for a Constant.

[tex]\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot dt\\ \\ 20\cdot \int _0^1t\sin \left(3t+1\right)dt\\ \\[/tex]

Applying the Rule Integration by Parts.

∫u v dx = uv -∫v du

u=t

dv= sin(3t +1 )dt, then v=

[tex]=20\left[-\frac{1}{3}t\cos \left(3t+1\right)-\int \:-\frac{1}{3}\cos \left(3t+1\right)dt\right]^1_0\\ \\=20\left[-\frac{1}{3}t\cos \left(3t+1\right)+\frac{1}{9}\sin \left(3t+1\right)\right]^1_0\\ \\ =20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)\\ \\ =0.806[/tex]

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The value of the integral  ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

First, we have to calculate line segment (0,1 ) to (4, 4)

= (4-0, 4-1) = (4, 3)

Parametric form of the segment:

P(t) = (0+4t, 3t)   where 0 ≤ t ≤ 1

Now differentiate the segment:

P'(t) = (4, 3)

The magnitude of the P'(t)

[tex]\rm P'(t) = \sqrt{4^2+3^2}[/tex]

P'(t)  = 5

Now the integration can be evaluated from the P(t)

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = \int\limits^1_0 {4tsin(3t+1)} \, 5ds[/tex]    ( x= 4t, y = 3t+1)

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20\int\limits^1_0 {tsin(3t+1)} \, ds[/tex]

The value of the integration:

[tex]\rm \int \limits^1_0 {tsin(3t+1)} \, ds = 0.040[/tex]

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20(0.04)[/tex]

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds =0.806[/tex]

Thus, the value of the integral  ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).

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#SPJ4

Answer:

1. -83/7

2. -11.6666666

3. - square root of 133

4. 11 5/10

Answer:

x ≤ -7

Step-by-step explanation:

On the graph we can see that:

-the pink solid line is where x= -7 and y can have any value, so is either first or second choice.

-the pink area includes numbers that are equal or less then -7 ( such as -8, -9,-10,...) so the inequality must be x ≤ -7 (the second choice. )

See the line is parallel to y axis

So

X is constant -7

Hence the inequality is

Answer:

box 1 = 6,080

box 2 = 6,169

box 3 = 18,219

box 4 = 19,151

Step-by-step explanation:

Answer:

[tex]403.06 cm^2; 100.77cm^2[/tex]

Step-by-step explanation:

Ok, step 1. What's the measure of the internal angle of a dodecagon? After some splitting in triangles you get that's [tex](n-2)\pi = 10\pi[/tex]. That makes each angle measure [tex]\frac{10}{12}\pi[/tex].

That allows us to split the whole figure in 12 isosceles triangles with (congruent) angles of [tex]\frac5{12}\pi[/tex]. Consider just one, red in my picture. The height of that triangle - orange "vertical" line -  can be found with some trigonometry as [tex]3tan \frac5{12}\pi \approx 11.2 cm[/tex]

At this point one triangle has area [tex]\frac12 \cdot 6\cdot 11.2 = 33.6 cm^2[/tex] and the whole cookie has area as 12 triangles [tex]403.06 cm^2[/tex].

After her eating spree, you're left with 3 triangles, for a grand total of [tex]100.77 cm^2[/tex]

Answer: 3/2

Step-by-step explanation:

Let's consider the points (6,9) and (4,6).

The difference in the y coordinates is 3, and the diffeence in the x coordinates is 2.

So, the slope is 3/2.

The solution to the problem expressed  2358.

Significant figure It is defined as the minimum number of digit us needed to express a number in scientific notation.

Therefore we get,

[tex]15.11+(142\times16.5)[/tex]

First we have to multiply the given digits as per rule.

[tex]=15.11+2343[/tex]

Now we will add both the digits, we get

[tex]=2358.11[/tex]

As per given expression, we conclude that the number of significant figure is 4.

So, the answer will be, 2358.

Therefore, the correct option is, 2358.

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Answer:

I don't know I'm trying my best and I'm late

Step-by-step explanation:

This [tex]\rm P(Z\geq 1.7)[/tex]  is equivalent to  [tex]\rm 1-P(Z\leq 1.7)[/tex]

It is given that the  [tex]\rm P(Z\geq 1.7)[/tex]

It is required to find which statement is equivalent to [tex]\rm P(Z\geq 1.7)[/tex]

The statements are:

[tex]a) \ \rm P(Z\geq -1.7)\\b) \ \rm 1-P(Z\geq -1.7)\\c) \ \rm P(Z\leq 1.7)\\d) \ \rm 1-P(Z\leq 1.7)[/tex]

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

We have the [tex]\rm P(Z\geq 1.7)[/tex]

We know that:

[tex]\rm P(Z\leq a)=P(Z\geq -a)\\\rm P(Z\geq a)=P(Z\leq -a)[/tex]

If we compare statement (a) and statement (c), we will see these options are not equivalent to  [tex]\rm P(Z\geq 1.7)[/tex]

For statement (b) if we plot the graph for the given statement we will get the negative area of the bell curve hence it is also incorrect.

For statement (d) if we plot the graph for the given statement we will get the positive area which is equivalent to the [tex]\rm P(Z\geq 1.7)[/tex]

Thus, the [tex]\rm P(Z\geq 1.7)[/tex]  is equivalent to  [tex]\rm 1-P(Z\leq 1.7)[/tex]

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Answer:

Step-by-step explanation:

x = 5.4178

10000x = 54178.178

10x =              54.178              Subtract: that gets rid of the repeating decimal.

9990x  =        54124               Divide by 9990 on both sides

9990x/9990 = 54124/9990  The Greatest common divisor of these two is 2

x = 27062/ 4995

p/q = 27062 / 4995

Answer:

First of all multiply 5 in three times

Answer:

180 degree rotation

Step-by-step explanation:

Answer:

Reflect across the y-axis

Translate horizontally 7 units right

Step-by-step explanation:

Alright I'll try to quickly answer this for you.

Firstly you could try reflecting figure P across the y axis. That would mean multiplying the whole function times -1.

So a point like (-2,3) would be come (-2,-3), and then visualize moving that point to where it would be on figure Q. It looks like it would be on (5,-3) on figure Q. So to take (-2,-3) to (5,-3) you translate it horizontally 7 units right.

Answer:

Formula for volume of cylinder;

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is 1/2 x diameter (half of diameter = radius) which is squared, and 'h' which represents the height.

To find the radius of the diameter 5, we must find 1/2 of 5:

1/2 x 5

5/2 = 2.5 is our radius.

Now we plug these into our equation:-

V = π[tex]r^{2}[/tex]h

V = 3.14(2.5^2) x 20

V = 3.14(6.25) x 20

V = 19.625 x 20

V = 392.5 cubic feet.

Answer:

x<−0.00325153

x> 0.00325153

Step-by-step explanation:

-1/2 (3^(2)+7) x >32

-1/2 (3^(9) x >32

-1/2 (19683) x >32

-9841.5 x >32

x<−0.00325153

x> 0.00325153

Answer:

  (c)  The two quantities are equal.

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...

  sin(A) = cos(B)

The two quantities are equal.

Answer:

Step-by-step explanation:

Sin(A) = opposite / hypotenuse

opposite = 4

hypotenuse = 5

Sin(A) = 4/5 = 0.8

Cos(B) = adjacent / hypotenuse.

adjacent = 4

hypotenuse = 5

Cos(B) = 4/5 = 0.8

Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal

Take a simpler case. Suppose you are working with a 30 60 90 triangle.

Cos(60) = Sin(90 - 60) = 1/2

Step-by-step explanation:

A = B

7x + 40° = 3x + 112°

7x - 3x = 112° - 40°

4x = 72°

x = 18°

A = 7x + 40°

= 7(18°) + 40°

= 126° + 40°

= 166°

hope it help

can you help to answer my question? my math is better ,but my english is bad ,can you help me,please

Answer:

-2, 3

Step-by-step explanation:

Answer:

A) -4,-4/3,-4/9,-4/27

B) converge

C) no idea

graphed below:

[tex]\sf f(x)=3x^2-6x+5[/tex]

Answer:

Given function:    [tex]f(x)=3x^2-6x+5[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  

(where [tex](h, k)[/tex] is the vertex)

Expand vertex form:

[tex]y=ax^2-2ahx+ah^2+k[/tex]

Compare coefficients of given function with expanded vertex form

Comparing coefficient of [tex]x^2[/tex]:

[tex]3=a[/tex]

Comparing coefficient of [tex]x[/tex]:

[tex]\ \ \ \ \ -6=-2ah\\\implies-6=-2 \cdot 3h\\\implies -6=-6h\\\implies h=1[/tex]

Comparing  constant:

[tex]\ \ \ \ \ \ 5=ah^2+k\\\implies5=3(1)^2+k \\\implies 5=3+k\\\implies k=2[/tex]

Therefore, the vertex is (1, 2)

As the leading coefficient is positive, the parabola will open upwards.

Additional plot points:

[tex]f(0)=3(0)^2-6(0)+5=5[/tex]

[tex]f(2)=3(2)^2-6(2)+5=5[/tex]

(0, 5) and (2, 5)

Answer:

Simple, Just divide 15.00 by 3.58 to get the answer of 4.19

Step-by-step explanation:

15.00 ÷ 3.58 = 4.19

Answer:

  AA similarity postulate

Step-by-step explanation:

Triangles are similar if corresponding angles are congruent or if corresponding sides are proportional.

Here, the missing reason in the proof follows a step in which two angles are shown congruent. That means you can claim similarity by the AA similarity postulate.

__

Additional comment

The similarity postulates include ...

  AA -- two corresponding angles (the third angle is determined by these two)

  SSS -- three proportional corresponding sides

  AAS -- two congruent angles and a proportional corresponding side

  ASA -- a variation of AAS

  SAS -- proportional corresponding sides flanking a congruent angle

With the exception of AA, these are the same postulates as used to prove triangle congruence when the corresponding sides are congruent, rather than proportional.

Answer:

89.97

Step-by-step explanation:

5.99+79.99 = 85.98 + 3.99  = 89.97

#1

Area:-

#2

Area:-

#3

Area of the white part=Area of circle-Area of square

#4

Probability

#5

Probability

Answer:

1. 63.62 in².

2. 16 in².

3. 47.62 in².

4. 0.25 .

5. 0.74 .

Step-by-step explanation:

1.

Solution,

Given,

Diameter = 9 inch.

Now,

Area = πr²

Diameter = r²

Then,

Area = 1/4 πd²

= 1/4 π9²

= 63.62 in².

2.

Solution,

Given,

Length of a Side = 4 inch.

Now,

Area = L²

= 4²

= 16 in².

3.

Solution,

Given,

Area of the Circle = 63.62 in².

Area of the Square = 16 in².

Now,

Area of The White Part of the Circle = Area of Circle - Area of Square

= 63.62 in² - 16 in².

= 47.62 in².

4.

Solution,

Given,

Area of the Square = 16 in².

Area of the Circle = 63.62 in².

Now,

The probability of landing in the Square = Square Area / Circle Area

= 16 / 63.62

= 0.25 .

5.

Solution,

Given,

White Part of the Circle = 47.62 in².

Area of the Circle = 63.62 in².

Now,

The probability of landing in the white Part = White Area / Circle Area.

= 47.62 / 63.62

= 0.74 .

Their new velocity after the collision is 2.97m/s

According to the law of momentum, the sum of momentum of bodies before the collision is equal to their sum after the collision.

The formula for calculating the momentum of a body is expressed as:
Momentum = mass * velocity

According to the law

m1u1 + m2u2 = (m1 + m2)v

v is the new velocity after the collision

Substitute the given values

1000(3) + 10(0) = (1000+10)v

3000 = 1010v

v = 3000/1010

v = 2.97m/s

Hence their new velocity after the collision is 2.97m/s

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