Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:

d + b = 520. d minus 80 = b.

What is Latifa’s error?
Latifa should have written the first equation as d minus b = 520.
Latifa should have written the second equation as d + b = 80.
Latifa should have written the first equation as b + 80 = 520.
Latifa should have written the second equation as d + 80 = b.

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

Write the segment addition postulate

The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:

thus

Step-by-step explanation:

Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.

Answer:

A)

Step-by-step explanation:

ratio of out of state fans to total number of fans:

640 : 1580 = 640/1580 = 32/79

So 32 out of every 79 fans were out of state fans

Answer:

A) 32 out of every 79 fans attending were out-of-state fans

Step-by-step explanation:

640 were out-of-state fans :  1,580 fans in the game

32 were out-of-state fans : 79 fans in the game

✔A) 32 out of every 79 fans attending were out-of-state fans

B) 47 out of every 79 fans attending were out-of-state fans

C) more than 47 out of every 79 fans attending were out-of-state fans

D) at least 32 out of every 79 fans attending were out-of-state fans

Answer:

Each ticket was 3 dollars

Step-by-step explanation:

Since there were 10 friends, let x represent the amount that each ticket cost

10x - 2 = 28

10(3) - 2 = 28

30 - 2 = 28

The amount, each ticket costs would be 3 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Ten friends bought tickets to a basketball game and got a 2$ group discount.

If the total was 28$ then;

Since there were 10 friends, assume that x represents the amount, each ticket cost;

10x - 2 = 28

Solving;

10x = 28 + 2

10x = 30

x = 30/10

x = 3

Hence, The amount, each ticket costs would be 3 dollars.

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Answer:

48

Step-by-step explanation:

remember 1 dozen of something is 12 of that object

so 1 dozen cookies is 12 cookies

two dozen means two times one dozen

or 2-times twelve (because there are twelve of an object in a dozen)

2 times 12 is 24

now you double the recipe that makes 2 dozen cookies

so you have 24 cookies and you multiply that by 2 to double it and you get 48

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer: can you take a closer picture

Step-by-step explanation:

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

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Step-by-step explanation:

the surface area of that object consists of

2 triangles (one left, one right)

1 rectangle at the top

1 rectangle at the bottom

1 rectangle in the back

so, we need to calculate the area of each of these 5 areas and sum them up. that's it.

the area of such a triangle is

6×8/2 = 24 m²

we have 2 such triangles, so in total they are 48 m².

the rectangle at the top

10×12 = 120 m²

the rectangle at the bottom

12×8 = 96 m²

the rectangle in the back

12×6 = 72 m²

so the total surface area is

48 + 120 + 96 + 72 = 336 m²

A formula without free variables is a formula that does not contain any variables that are not quantified.

Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.

Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.

Formulas without free variables are often easier to work with than formulas with free variables.

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Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.

The units-of-activity method is one of the depreciation methods in use.

Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.

The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.

Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)

Expected total miles for Bus #3 = 125,000

Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)

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Bus    Acquired    Cost    Salvage    Useful Life     Depreciation
                                          Value         in Years          Method

1          1/1/12      $99,100   $7,900           4             Straight-line

2         1/1/12      128,000     11,000          4             Declining- balance

3         1/1/13       66,350      8,800          5             Unit-of-activity

Answer:

Yes,i have but only one..

I think it's my friend..I saw my friend naked before..

But it's a boy..

'When i was at school,i was walking through the corridor to find my teacher and to ask her..

And suddenly, i saw my two Classmates and they was laughing and giggled so much..

And i ask them "Hey,why did you two laughed?Are you guys okay?Maybe there's a demon inside of you two.." And they said to me that "We saw something in the classroom, don't be so rude about us.." And by the way,my two Classmates i was talking to are girls.. And i continued "What? What did you two saw in the classroom?Is there a frog or something?.." And they said "No,dummy.. It's our classmate,Lance.." And they laughed.. I said "Why? What happened to Lance?.." And they said "He's totally naked on the classroom.." And the other one talked " Yeah and his body is totally hot too.." And they screamed..And i said "You two are totally nuts about Lance.." And my classmate arrived in front of us,Lance.. "Hey, what are you guys laughing to?.." And i said "They saw you naked a while ago,Lance.." And Lance ran away because he was embarrassed...'

Well... That's all i can tell..

Hope it helps..

(;ŏ﹏ŏ)(ㆁωㆁ)

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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We want to multiply

by another number, so the result is a number with decimal point placed two numbers after.

We can observe that:

The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Answer:

answer : 164 pounds

Step-by-step explanation:

total weight of five computers

163 x 5 = 815 pounds

the weight of the fifth one = total

weight - other four

815-155-160-165-171=164 pounds

hope it helps :)

Answer:

Of course! I LOVEEEE math so much that I pull my hair every time I do it...but I do get a high grade on it almost always. So cheer up and just do math because they will come in handy in the future!!

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

a

\(P(N_g) = 0.5155\)

b

 \(P(K ) = 0.36364\)

c

\(P(U1 | N_y ) = 0.7223\)  

Step-by-step explanation:

From the question we are told that

  The number of green marbles in Urn 1 is  \(N_g = 4\)

   The number of yellow marbles in Urn 1 is \(N_y = 5\)

   The number of green marbles in Urn 2 is  \(n_g = 7\)

   The number of yellow marbles in Urn 1 is \(n_y = 4\)

    The probability of choosing Urn 1 is  \(P(U1) = 0.63\)

    The probability of choosing Urn 2 is \(P(U2) = 1- 0.63 =0.37\)

Generally the total marble in Urn 1 is  

     \(N_t = N_g +N_y\)

=>  \(N_t = 4 + 5\)

=>  \(N_t = 9\)

Generally the total marble in Urn 2 is  

     \(n_t = n_g +n_y\)

=>  \(n_t = 7+4\)

=>  \(n_t = 11\)

Generally the probability of choosing green marble is

     \(P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ]\)

=>   \(P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ]\)

=>   \(P(N_g) = 0.5155\)

Generally  the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as

     \(P(K ) = \frac{n_y}{n_t}\)

=>   \(P(K ) = \frac{4}{11}\)

=>   \(P(K ) = 0.36364\)

Generally the probability of choosing yellow marble is

     \(P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ]\)

=>   \(P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ]\)

=>   \(P(N_y) = 0.4845\)

Generally  the  probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as

     \(P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}\)

=>   \(P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }\)

=>   \(P(U1 | N_y ) = 0.7223\)      

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Step-by-step explanation:

No, having only the y intercept gives us the c value in the quadratic equation.

The answer is :

Step-by-step explanation:

To write the equation of a parabola, you need the equation \(\bf{y=ax^2+bx+c}\). You need to know the values of a, b, and c in order to write the equation. So knowing only the y-intercept (0, 5) will not suffice. He knows where the parabola intersects the y-axis yet he isn't aware of the appearance of the parabola and how to draw it.