A director of reservations believes that 9% of the ticketed passengers are no-shows. If the director is right, what is the probability that the proportion of no-shows in a sample of 789 ticketed passengers would differ from the population proportion by less than 3%? Round your answer to four decimal places.

Answer:

-9/7

Step-by-step explanation:

\(slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} \)

Value of base and hypotenuse of triangle are 9√3 and 18 respectively.

A right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem,  that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Height of triangle=9

Base of triangle=y

Hypotenuse of triangle=x

Using trigonometric ratio

Sin30°=Height/Hypotenuse

½=9/x

x=18

Cos30°=Base/hypotenuse

√3/2=y/18

y=9√3

Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.

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Answer:

Mean: 7.5

Median: 7

Step-by-step explanation:

to find mean add all the numbers and divide it by the amount of numbers there are. So 60/8 which is 7.5. For Median organize the numbers as so;

3, 5, 6, 7, 7, 9, 10, 13

the number in the middle is 7.

Answer:

x=3 y=-2

Step-by-step explanation:

Elimination would bring the equation to

3x=18

18/6 is 3

6-3y=12

-3y=6

y=-2

Answer and Step-by-step explanation:

The kite area formula:

A = \(\frac{pq}{2}\)

P = Line RP

Q = Line QS

A = \(\frac{38 + 16}{2}\) = \(\frac{54}{2}\) = 27

27 is the answer.

#teamtrees #PAW (Plant And Water)

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Answer:

a = side length a

b = side length b = bottom triangle base b

c = side length c

h = height of prism

H = height of bottom triangle

V = volume

Atot = total surface area = all sides

Alat = lateral surface area = all rectangular sides

Atop = top surface area = top triangle

Abot = bottom surface area = bottom triangle

A triangular prism is a geometric solid shape with a triangle as its base. It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles.

Calculator Use

This calculator finds the volume, surface area and height of a triangular prism. Surface area calculations include top, bottom, lateral sides and total surface area. Height is calculated from known volume or lateral surface area.

Units: Units are shown for convenience but do not affect calculations. Answers will be the same whether in feet, ft2, ft3, or meters, m2, m3, or any other unit measure.

Significant Figures: Choose the number of significant figures or leave on auto to let the calculator determine number precision.

Triangular Prism Formulas in terms of height and triangle side lengths a, b and c:

Volume of a Triangular Prism Formula

Finds the 3-dimensional space occupied by a triangular prism.

V=14h(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−√×(a+b+c)(b+c−a)−−−−−−−−−−−−−−−−−√

Top Surface Area of a Triangular Prism Formula

Finds the area contained by the triangular surface at the top of the prism. This is the same area as the bottom surface area.

Atop=14(a+b+c)(b+c−a)×(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−−−−−−−√

Bottom Surface Area of a Triangular Prism Formula

Finds the area contained by the triangular surface at the bottom of the prism. This is the same area as the top surface area.

Abot=14(a+b+c)(b+c−a)×(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−−−−−−−√

Lateral Surface Area of a Triangular Prism Formula

Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.

Alat=h(a+b+c)

Total Surface Area of a Triangular Prism Formula

Finds the total area of all sides of a triangular prism. Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Atot=Atop+Abot+Alat

Step-by-step explanation:

Height of a Triangular Prism Formula in Terms of Volume

Finds the height of a triangular prism by solving the Volume Formula for height. Height, h, is calculated from volume, V, and side lengths a, b and c.

h=4V÷[(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−√×(a+b+c)(b+c−a)−−−−−−−−−−−−−−−−−√]

Height of a Triangular Prism Formula in Terms of Lateral Surface Area

Finds the height of a triangular prism by solving the Lateral Surface Area Formula for height. Height, h, is calculated from lateral surface area, Alat, and side lengths a, b and c.

h=Alat(a+b+c)

#jerry Don is here#

The surface area of this figure will be 540 square feet.

Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

A complex solid made out of triangular and rectangular prisms. The triangular prism is centered on the rectangular prism's top.

The surface area of the shape is given as,

SA = 2(15 x 8 + 8 x 5) + 15 x 5 + 11 x 5 + 9 x 5 + 9 x 5

SA = 2(120 + 40) + 75 + 55 + 45 + 45

SA = 2 x 160 + 220

SA = 320 + 220

SA = 540 square feet

The surface area of this figure will be 540 square feet.

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The missing figure is attached below.

Answer:

sorry  cause pic is small and cant enlarge

Step-by-step explanation:

Answer:

64°

Step-by-step explanation:

If two angles add up to give 90°, that are said to be complementary. One is a complement of the other.

Therefore, given that the measure of an angle, angle A = 26°, the measure of the complement of angle A = 90 - 26 = 64°.

The measure of the complement of angle A, is 64°.

writing the linear equation can be used by any any of those coordinates that are given

y - y1 = m(x - x1)

m = Gradient

m = y - y1 / x - x1

Where:

(-7, 1) = (x, y)

(-3,  9) = (x1, y1)

m = (1 - 9) /( -7 + 3)

m = -8/- 4

m = 2

Inputing this into our point slope form equation : y - y1 = m(x - x1)

We have:

y - 9 = 2(x + 3)

Therefore, Option D is the correct option

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Answer: 3.41x10^3

Step-by-step explanation:

At the beginning of the year, we have:

R = 6.2x10 rats.

And we know that, in one year, each rat produces:

O = 5.5x10 offsprins.

Then each one of the 6.2x10 initial rats will produce 5.5x10 offsprings in one year, then after one year we have a total of:

(6.2x10)*(5.5x10) = (6.2*5.5)x(10*10) = 34.1x10^2

and we can write:

34.1 = 3.41x10

then: 34.1x10^2 = 3.41x10^3

So after one year, the average number of rats is:  3.41x10^3

The finite graph that represents the given matrix is graph A.

To interpret a graph and matrix, we need to first look at the arrows and determined whether their directions are true. If true, we record the answer as 1 in the matrix and if false, we record the value as zero. That said, we will now begin with graph A.

For all the following directions in the graph, the matrix records a value of 1. These are JL, LK, KL, MJ, and ML. Since they are all true, then graph A matches the matrix.

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

The required graph is attached below.

Given that,

Quarterback Susie has a bad attitude and often gets fined for bad sportsmanship.

And the table of cost is given,

Cost of fine       Number of fines

    1                              1

    2                             4

    3                              1

We know that,

A graph is a form of figure used to show accumulated data. This data might be quantitative or qualitative, which means that graphs can be utilized for a variety of purposes.

This is why there are numerous sorts of graphs, such as bar graphs, line graphs, area graphs, pictographs, and others.

To plot this data,

Label number 0, 1 , 2, 3, 4... on a number line

Which represents the cost of fine in thousands of dollars.

And plot the graph according to the given data.

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Answer:

C. Translates the graph 4 units downwards

Step-by-step explanation:

The -4 is the y-intercept which brings the graph down four units

In the function f(x)=\(\sqrt{x}\)-4, -4 shows the translation of graph units downwards which is option c.

Function is relationship between two or more that are variables that are expressed in equal to form. In a function each value of x must have a corresponding value of y which is known as codomain of function.

In the function f(x)=\(\sqrt{x}\)-4, -4 decreases the value of function by 4 units and because the y axis is vertical line. So the value which is  -4 pulls the function downwards by 4 units and this process is known as translation.

Hence in the function f(x)=\(\sqrt{x}\)-4, -4 shows the translation of graph units downwards which is option c.

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Answer:

The product of 9/5 and 33/4 is 9.85 units larger than 5.

Step-by-step explanation:

To determine by how much is the product of 9/5 and 33/4 greater than 5, the following calculations must be performed:

((9/5) x (33/4)) - 5 = X

(1.8 x 8.25) - 5 = X

14.85 - 5 = X

9.85 = X

Therefore, the product of 9/5 and 33/4 is 9.85 units larger than 5.

Answer:

The polynomial is simplified to \(\frac{3x+2y}{2}\),\(\frac{3a-5b}{4}\),\(\frac{b+4 c}{3}\),\(\frac{5a+b+3c}{2}\)

Step-by-step explanation:

Step 1 of 4

\(\frac{48x+32y}{32}\)

\(=\frac{16\left(3x+2y\right)}{32}\)

\(=\frac{16\left(3x+2y\right)}{16\cdot \:2}\)

\(=\frac{3x+2y}{2}\)

Step 2 of 4

\(\frac{9a-15b}{12}\)

\(=\frac{3\left(3a-5b\right)}{12}\)

\(=\frac{3\left(3a-5b\right)}{3\cdot \:4}\)

\(=\frac{3a-5b}{4}\)

Step 3 of 4

\(\frac{6b+24c}{18}\)

\(=\frac{6\left(b+4c\right)}{18}\)

\(=\frac{6\left(b+4c\right)}{6\cdot \:3}\)

\(=\frac{b+4c}{3}\)

Step 4 of 4

\(\frac{25a+5b+15c}{10}\)

\(=\frac{5\left(5a+b+3c\right)}{10}\)

\(=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}\)

\(=\frac{5a+b+3c}{2}\)

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Answer:

the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.

Step-by-step explanation:

Answer:

(a) 5.714s

(b) 0.625m

Step-by-step explanation:

Acceleration due to gravity=a=±9.8m/s/s (+ when falling, - when going upwards)

(a)

STAGE A: between start and first bounce

Initial speed=u=0m/s, Distance=s=40m, and Final velocity=v

v²=u²+2as

v²=0²+2(10)(40)

v²=794

v=28m/s (As the ball hits the ground)

v=u+at

28=0+9.8t\(_{a}\)

t\(_{a}\)=28/9.8=2.85714285714s

STAGE B: from the first bounce until it starts to fall

u=half the speed it hit the ground with=(28/2)=14m/s, and v=0m/s(when it starts to fall)

v=u+at

0=14-9.8t\(_{b}\)

t\(_{b}\)=14/9.8=1.42857142857s

STAGE C: between when it starts to fall after bounce 1, and bounce 2

We can assume that the time it takes to go from the ground to max height after bounce 1 is equal to the time it takes to fall from that same height to the ground. Therefore, t \(_{c}\)=1.42857142857s

The time from when the ball was released to when it hit the ground for the second time = t

t = t\(_{a}\) + t\(_{b}\) + t\(_{c}\)

t=2.85714285714+1.42857142857+1.42857142857

t=5.71428571428s≈5.714s

(b)

Before bounce 1, u=28m/s (see stage a)

After bounce 1, u= 28/2= 14m/s

After bounce 2, u= 14/2 = 7m/s

After bounce 3, u= 7/2 =3.5m/s

u=3.5m/s and v=0m/s(when it starts to fall)

v²=u²+2as

0²=3.5²+2(-9.8)s

19.6s=12.25

s=0.625m (max height after third bounce)

Answer: 44

Step-by-step explanation: Since 11 members are equal to 25% of the club, 11 members is 1/4 of the club because 25% = 1/4. There are four-fourths in a whole so 11x4 = 44 members. The ski club has 44 members.

The total number of whole number between -4 and 6 are 7 that are 0,1,2,3,4,5,6.

Whole numbers are the complete set of natural numbers plus '0'. Examples include: 0, 11, 25, 36, 999, 1200, and so on. Learn more about numbers by clicking here.

Integers supplement this set of numbers because they include negatives, but otherwise follow the same rules. As a result, all whole numbers are integers (because they are all positive integers), but not all integers are whole numbers (because some are negative).

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Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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Answer:

for every 2 followers benjamin has, lauren has 5 followers

Step-by-step explanation:

find the common factor for their followers (11), then divide them by that:

22/11=2

55/11=5

Answer:

x = 5

Explanation:

If the angle are parallel:

step 1:

21x + 7 = 22x + 2

21x - 22x = 2 -7

-x = -5

x = 5

finding upper angle, then when both lies on straight line equals to 180°

step 2:

180 = (180 - 22x - 2 ) + 21x + 7

180 = 180 - 2 + 7 - 22x + 21x

180 = -x  185

-5  =  -x

x = 5

Solution:

Note that:

Solve the equation to find the value of x.

The value of x is 5.

Answer:

Step-by-step explanation:

Before I can answer this, please furthermore evaluate on what the acronyms MAD and IQR stand for, and I will update my answer. Thank you!

Answer:

sorry I don't know

can u talk to me

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.