the number of tickets sold for different concerts at a single venue in the past month. would you be more interested in looking at the mean, median, or mode? state your reasoning.

Answer:

5. m∠A = 26

6. m∠D = 118

7. m∠E = 43

8. m∠H = 85

Step-by-step explanation: complementary= 90 supplementary = 180

5. (2x - 8) + (4x +4) = 90

6x - 12 = 90

6x = 102

x = 17

m∠A = 2x - 8  

m∠A = 2(17) - 8 = 26

6. (2x + 18) + (5x + 8) = 180

7x + 26 = 180

7x = 154

x = 22

m∠D = 5x + 8

m∠D = 5(22) + 8 = 118

7. (2x + 15) + (3x + 5) = 90

5x + 20 = 90

5x = 70

x = 14

m∠E = 2x + 15

m∠E = 2(14) + 15 = 43

8. (5x - 20) + (4x + 7 ) = 180

9x - 27 = 180

9x = 207

x = 23

m∠H = 4x -7

m∠H = 4(23) - 7 = 85

Answer:

\(i^{12}\) = 1

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

Then

\(i^{12}\) = \(i^{4}\) × \(i^{8}\) = 1 × 1 = 1 ← ( view table for values )

The trigonometric identity that is true is:

sin G = cos I. Option D

First, we need to know that;

One acute angle in a right triangle has a sine value equal to the cosine value of the other acute angle.

From the information given, we have;

In a right scalene triangle GHI, where both angle G and angle I are acute, the value of sin G is equivalent to cos I.

Several alternatives, including sin G = sin I, cos G = cos I, tan G = tan I, sin G = tan I, sin G being the inverse of cos I, and cos G being the inverse of cos I, are invalid for a right scalene triangle with a known right angle.

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The shapes C and F represent an enlargement of shape X by a scale factor of -1.

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

For a scale factor of -1, we have that the size remains constant, as |-1| = 1, hence the figure is just reflected.

Thus the shapes are given as follows:

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Using the probability concept, it is found that there is a \(\frac{2}{15}\) probability a student selects a prop, does not replace it, and another student selects a costume.

In this problem:

Then:

\(p = P(A)P(B) = \frac{2}{5} \times \frac{1}{3} = \frac{2}{15}\)

\(\frac{2}{15}\) probability a student selects a prop, does not replace it, and another student selects a costume.

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The sequence diverges because the value of the absolute common ratio r is greater than the 1.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We have series:

9, 27, 81, 243....

The above series is a geometric progression with common ratio r is 3

\(\rm r =\dfrac{27}{9}\)

r = 3

We know the formula for a geometric sequence:

\(\rm S_n = 9(3)^n\)

\(\rm S_n = 3^{n+2}\)

A geometric series converges only if the absolute value of the common ratio:

r < 1  and

It diverges if the ratio ≥ 1

Here the value of r = 3 which is greater than the 1 so the sequence diverges.

Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.

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The correct statement are statements B and C

Given the following equation for the distance of Bicyclist A expressed as:

d = 11.5h + 5

After 1 hour for A

d(1) = 11.5 + 5
d(1) = 16.5

For bicycle B, the distance traveled after 1 hour is 12.5 miles from the graph. Hence B is not traveling 1 mile per hour faster than A.

After 2 hours for A;

d(2) = 11.5(2) + 5

d(2) = 23 + 5 = 28 miles

Hence after 2 hours, A will have traveled a total of 28 miles.

From the graph, we can see that B started from the town (origin), and from the equation, A started from 5 miles from town (y-intercept is 5)

Hence the correct statement are statements B and C

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The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

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The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165    

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Answer:

3x(5-7)°+1(5x-7)°

3x×5-3x×7+1×5x-1×7

15x-21x+5x-7

15x+5x-21x-7

20x-14

Answer:

y = 5sin(6π/7) + 3

Answer:

theres no question

Step-by-step explanation:

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{\sin(85^o)}=\cfrac{31}{\sin(42^o)}\implies b\sin(42^o)=31\sin(85^o) \\\\\\ b=\cfrac{31\sin(85^o)}{\sin(42^o)}\implies b\approx 46.2\)

A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.

A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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The  true statement based on the box-and whisker plot of 19 people are The median monthly salary is higher than the first quartile, The first quartile is higher than the minimum monthly salary, The third quartile is higher than the median monthly salary, The maximum monthly salary is higher than the third quartile, There are no outliers in the dataset.

A box-and-whisker plot provides a graphical representation of the five-number summary of a dataset: the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value. The box itself represents the middle 50% of the data (between Q1 and Q3), and the whiskers extend to the minimum and maximum values, with any outliers plotted as individual points.

Therefore, some possible statements that could be true based on the box-and-whisker plot of the monthly salaries of the 19 people are:

The first quartile is higher than the minimum monthly salary.

The third quartile is higher than the median monthly salary.

The median monthly salary is higher than the first quartile.

The maximum monthly salary is higher than the third quartile.

There are no outliers in the dataset.

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Answer:

-4/3

Step-by-step explanation:

Trust me

The cross product of the unit vectors j and k is i.

The cross product of two vectors a and b is defined as:

a x b = |a| |b| sin(theta) n

where |a| and |b| are the magnitudes of vectors a and b, theta is the angle between the two vectors, and n is a unit vector perpendicular to both a and b, with a direction given by the right-hand rule.

Here, j and k are unit vectors in the y and z directions, respectively. Since j and k are perpendicular to each other, the angle between them is 90 degrees, and the sin(theta) term in the cross product formula is equal to 1.

Thus, we have:

j x k = |j| |k| sin(90) n

Since j and k are unit vectors, their magnitudes are both equal to 1. Substituting these values into the equation above, we get:

j x k = 1 x 1 x 1 n = n

Therefore, the cross product of j and k is a unit vector n that is perpendicular to both j and k.

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Answer:

It changes 3 inches

Step-by-step explanation:

Because every time she takes a sip it goes down, I can’t really explain it good but it changes 3 inches as she took 3 sips of water.

Answer:

Step-by-step explanation: 1 sip = 2 in

                                           3 sips = 6 in so 3 sips x 2 inches =  6 inches

Answer:

2.1 hr

Step-by-step explanation:

[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr

The unit cost of pears is $1.50 per pound.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost for 1/3 lb of pears = $0.50

Since, 1 lb = 1 pound

Implies that,

Cost of 1/3 pounds of pears = $0.50

To find the cost of one pound of pears,

Use ratio property,

1/3 pound costs = 0.50

1 pound costs = 0.50 x 3 = $1.50

The cost of one pound of pear is $1,.50.

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To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Solve;

The correct answer is option B, and that is 10/9

Answer:

7.29

Step-by-step explanation:

36.45 / 5 = 7.29

Answer:

28.75

Step-by-step explanation:

We can do 15% of 25 which is 3.75. Add this on to 25, and get 28.75.

The amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.

The raise = 15 % of 25 = 3.75

Total after raise = 25.00 + 3.75 = $28.7

Thus, the amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.

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If the length of of a square increases from 3 inches to 7inches,the perimeter will increase from 12 inches to 28 inches. The perimeter will increase by 16inches

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees.

The perimeter of a square is determined by adding all the sides together.

Therefore the perimeter of square = 4l

when the length is 3 inches, the perimeter = 4×3 = 12inches

when the length is 7inches , the = 4× 7 = 28inches

Therefore the perimeter increased from 12inches to 28inches. It increases by 16 inches

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When the side length of a square increased from 3 inches to 7 inches, the perimeter increased from 12 inches to 28 inches

The perimeter of a square can be represented as follows:

The perimeter of a square is the sum of the whole sides of the square.

perimeter of a square  = 4l

where

l  = side length

Recall the whole sides of a square is equal.

Therefore,

The side of the square is formally 3 inches.

Hence,

perimeter of a square = 4 × 3

perimeter of a square = 12 inches.

When the side length is increased to 7 inches.

Hence,

perimeter of a square = 4 × 7

perimeter of a square = 28 inches

Therefore, when the side length of a square increased from 3 inches to 7 inches, the perimeter increased from 12 inches to 28 inches

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Answer:

1. third Quadrant

2. first Quadrant

3. fourth Quadrant

4. second Quadrant

5. second Quadrant (not sure)

6. fourth Quadrant

From the figure we notice that the two bottom angles are equal. We also know that the angle DXG is equal to 98, then we have that:

solving for s we have:

Therefore s=17

(a) if 20 cards are defective, then the probability that at least 1 defective card is in the sample is 0.964​

(b) if 5 cards are defective, then the probability that at least 1 defective card appears in the sample is 0.543​

Probability:

In statistics, probability refers the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Given,

Here we have a printed circuit cards are placed in a functional test after being populated with semiconductor chips. a lot contains 190 cards, and 20 are selected without replacement for functional testing.

And we need to find the following probability.

Here we have to recall the formula for probability mass function of the hypergeometric random variable X with the parameters

N = 190

n ​= 20​

and the parameter K.

And it is the following expression:

f(x) = [(K x) (140 - k 20 - x)] / (140 20)

Now, we have to Set K=20 and calculate from the probability mass function:

=> P(X≥1)=1−f(0)=0.964​

And then Set K=5 and calculate from the probability mass function:

=> P(X≥1)=1−f(0)=0.543​

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The inequalities that satisfy the region R are x < -1, y < -1 and y < -x + 4

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

The graph

The inequalities that satisfy the region R are as follows:

The equations of these lines are

x = -1

y = -1

y = -x + 4

When represented as an inequality, we have

x < -1

y < -1

y < -x + 4

Hence. the inequalities that satisfy the region R are x < -1, y < -1 and y < -x + 4

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A newspaper and magazine cost 220 together the newspaper cost 140 less than the magazine, then the cost of magazine is 180 and the cost of newspaper is 40.

Two or more expressions with an Equal sign is called as Equation.

Given,

A newspaper and magazine cost 220

the newspaper cost is 140  less than the magazine

Let x be the cost of magazine

x-140 is the cost of newspaper

x+x-140=220

2x-140=220

Add 140 on both the sides

2x=220+140

2x=360

Divide both sides by 2

x=180

and x-140=180-140=40

Hence, the cost of magazine is 180 and the cost of newspaper is 40.

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