Luke is flying a kite and realizes that 400 feet of string are out. The angle of the string with the ground is 50°. To the nearest hundredth what is the horizontal distance between Luke and the kite?

The horizontal distance is ____.

1. You can find what the cheapest and most expensive card is.

2. You could find what percent of the people on your cards are brunettes.

You could also find what the average strikes for a team.

You're welcome

Answer:

Step-by-step explanation:

1 Wanderer

2 moves on its own orbits the sun

3 Saturn

4 saturn

Answer:

0.005 `; 0.00499 ;

No, because np < 10 ;

2000

Step-by-step explanation:

Given that:

Number of samples , n = 100

Proportion, p = x / n

p = 1 / 200

= 0.005

p = μ

Standard deviation of sample proportion :

σp = sqrt((p(1 - p)) / n)

σp = sqrt((0.005(1 - 0.005)) / 200)

σp = sqrt((0.005(0.995)) / 200)

σp = sqrt(0.004975 / 200)

σp = sqrt(0.000024875)

σp = 0.0049874

σp = 0.00499

np = 100 * 0.005 = 0.5

n(1 - p) = 100(1-0.05) = 95

Smallest value of n for which sampling distribution is approximately normal

np ≥ 10

0.005n ≥ 10

To obtain the smallest value of n,

0.005n = 10

n = 10 / 0.005

n = 2000

Using the Central Limit Theorem, it i found that:

In this problem:

Item a:

\(\mu = p = 0.005\)

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.005(0.995)}{100}} = 0.0071\)

The mean is of 0.005, with a standard deviation of 0.0071.

Item b:

\(np = 100(0.005) = 0.5\)

np < 10, hence not normal, and option C is correct.

Item c:

\(np = 10\)

\(0.005n = 10\)

\(n = \frac{10}{0.005}\)

\(n = 2000\)

The smallest value of n for the sampling distribution to be approximately normal is 2000.

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Answer:

D

Step-by-step explanation:

Its saying a line which is not two lines. Parallel lines contain 2 lines not 1.

Answer:

x = 5

Step-by-step explanation:

assuming you mean the slope of the line id undefined and passes through (5, 0 )

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (5, 0 ) with x- coordinate 5 , then

x = 5 ← equation of line

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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Answer:

a.\(y+1=0\)

b.\(2x+4y=1\)

Step-by-step explanation:

We are given that

\((x^2+y^2)^2=3x^2y-y^3\)

a.(0,-1)

Differentiate w.r.t x

\(2(x^2+y^2)(2x+2yy')=6xy+3x^2y'-3y^2y'\).....(1)

Substitute x=0 and y=-1 in equation (1)

\(2(0+1)(-2y')=-3y'\)

\(-4y'+3y'=0\)

\(-y'=0\)

\(y'=0\)

\(m=y'=0\)

Point-slope form:

\(y-y_0=m(x-x_0)\)

Using the formula

\(y+1=0\)

This is required equation of tangent line to the given curve at point (0,-1).

b.(-1/2,1/2)

Substitute the value in equation (1)

\(2(1/4+1/4)(-1+y')=6(-1/2)(1/2)+3(1/4)y'-3(1/4)y'\)

\(2(2/4)(-1+y')=-3/2+3/4y'-3/4y'\)

\(-1+y'=-3/2\)

\(y'=-3/2+1=\frac{-3+2}{2}=-\frac{1}{2}\)

\(m=y'=-1/2\)

Again using point-slope formula

\(y-1/2=-1/2(x+1/2)\)

\(\frac{2y-1}{2}=-\frac{1}{4}(2x+1)\)

\(2y-1=-\frac{1}{2}(2x+1)\)

\(4y-2=-2x-1\)

\(2x+4y=2-1\)

\(2x+4y=1\)

x = # of days

y = total calories

Simba = 1000 + 140x = y

Cuddles = 2650 - 190x = y

Let's set both of these equations equal to each other

1000 + 140x = 2650 - 190x

Add 190x to both sides and subtract 1000 from both sides.

330x = 1650

Divide each side by 330

x = 5

After 5 days, they will be consuming the same amount of calories.

To find out how many calories they will be consuming, let's plug 5 into our Simba equation.

1000 + 140(5) = y

Multiply 140 by 5

1000 + 700 = y

Simplify

1700 = y

They will be consuming 1,700 calories each day.

Answer:

make dot in the 2,2 8,2 and 5,7 and join the dots

Step-by-step explanation:

64 crayons school order 25 for the art class there are 5 art class they should be share evenly

Answer:

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

Step-by-step explanation:

the measure of arc RPQ is

360°-42° = 318°

Answer: 1. The scientific notation is 3.52 x 10^8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The set of all integer numbers

Answer: it’s false

Step-by-step explanation:

I just took the test and got it right :)

A) Expected value is given by

The probability of winning =

The probability of losing =

The gain or loss of winning = $88-$2= $86

The gain or loss of losing = -$2

Expected value =

The man should seek a payment of $725.08

The amount of money he wants to receive can be calculated using the formula for compound interest:

A = P * (1 + r/n)^(nt)

where A = $2400 ---- final amount

P = principal

r = 6%, -- interest rate

n = 12 --- number of times the interest is compounded

t = 20, number of years (20).

So, we have

2400 = P * (1 + 6%/12)^(12 * 20)

This gives

P = 2400/3.310

Evaluate

P = 725.08

So, the man should seek a payment of $725.08

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The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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a. The number of ways that this is done, if the order of the choices is relevant is 360360 ways

b. The number of ways that this can be done, if the order of the choices is irrelevant is 3003 ways

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

= n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

When the orders are relevant, this will be:

= 15P6

= 15! / (15 - 5!)

= 15! / 10!

= 360360 ways

When orders are irrelevant, this will be:

= 15C5

= 15! / (15 - 5!)5!

= 3003 ways

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Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

No solution

Step-by-step explanation:

4x = 4x + 1

0 unequal to 1

Answer: D. No solution

please mark Brainliest :)

(a)1/2 * (a + a^T) is symmetric.

(b)1/2 * (a - a^T) is skew-symmetric.

(c)a = 1/2 * (a + a^T) + 1/2 * (a - a^T). The first term is symmetric, and the second is skew-symmetric.

(a) If a is any square matrix, then 1/2 * (a + a^T) is symmetric. To show this, we need to prove that it is equal to its transpose.

(a + a^T)^T = a^T + (a^T)^T = a + a^T

Therefore, 1/2 * (a + a^T) is symmetric.

(b) If a is any square matrix, then 1/2 * (a - a^T) is skew-symmetric. To show this, we need to prove that it equals the negative of its transpose.

(a - a^T)^T = a^T - (a^T)^T = a - a^T

Therefore, 1/2 * (a - a^T) is skew-symmetric.

(c) Any square matrix can always be written as the sum of a symmetric and skew-symmetric matrix.

a = 1/2 * (a + a^T) + 1/2 * (a - a^T)

The first term is symmetric, and the second term is skew-symmetric.

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Answer:

Step-by-step explanation:

\(\displaystyle\\ x^8-\frac{1}{81} \\\\x^8-\frac{1}{3^4} =\\\\x^8-(\frac{1}{3})^4 =\\\\x^{4*2}-(\frac{1}{3})^{2*2}= \\\\(x^4)^2-((\frac{1}{3} )^2)^2=\\\\(x^4-(\frac{1}{3})^2)(x^4+(\frac{1}{3} ) ^2)=\\\\(x^{2*2}-(\frac{1}{3})^2)(x^4+\frac{1^2}{3^2} )=\\\\((x^2)^2-(\frac{1}{3})^2)(x^4+\frac{1}{9})=\\\\(x^2-\frac{1}{3} )(x^2+\frac{1}{3})(x^4+\frac{1}{9})\)

In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

The fitness club offers two classes

Afternoon and morning

Number of people already in the morning class is 40

The growing rate is 2 people per month

Number of people in afternoon class is 22

The growing rate is 8 people per month

let x be the number of month

For morning class

40 members are present already and 2 people join them every month

Therefore, our algebraic expression is

Number of people present already + rate of people joining x month

40 + 2 * x

= 40 + 2x

For afternoon class

The same procedure is applied as indicated in the morning class

Therefore, algebraic expression is

22 + 8 * x

= 22 + 8x

equate the two algebraic expression together

40 + 2x = 22 + 8x

collect the like terms

40 - 22 = 8x - 2x

18 = 6x

divide both sides by 6

18/6 = 6x/6

3= x

x = 3

since x represent the number of months

Therefore, both the morning and afternoon classes will have the same number of people in 3 months

To know the number of people in each class

For morning class

The algebraic expression is

40 + 2x

x = 3

40 + 2 x 3

40 + 6

= 46

For afternoon class

22 + 8x

22 + 8 x 3

22 + 24

= 46

46 number of people will be in morning and afternoon class in 3 months

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

160.1 divided by 22.3 = 7.179 miles per litre.

This is 7.179 x 4.544 = 32.62 miles per gallon.

hope that will help

keeping in mind that there are about 1.609 Km in 1 mile and that there are about 3.78L in 1 gallon(US)

\(\cfrac{24~~\begin{matrix} Km \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1~~\begin{matrix} L \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{mile}{1.609~~\begin{matrix} Km \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{3.78~~\begin{matrix} L \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{gallon(US)} \\\\\\ \cfrac{24(3.78)}{1.609}\cfrac{mile}{gallon(US)} ~~ \approx ~~ 56.38\frac{mile}{gallon}\)

Answer:

x=10

Step-by-step explanation:

divide by 3 on both sides then add 6 on both sides

Answer:

the answer is x=10, x=2

Step-by-step explanation:

hope that helps