5.
There are 5,000 tickets available for a concert. The percent of available tickets belonging to
each type of ticket is shown in the circle graph.
Ticket Types
Platinum
2%
Club
8%
Floor
16%
Upper
level
44%
Lower
level
30%
What total number of tickets is available at the club, platinum, and floor levels?

-- least common multiple of 36, 6, 3 = 36

- it is the smallest number divisible by all three.

Answer:

1/9 rise 1 run 9

Step-by-step explanation:

if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)

5 "Always." Consecutive angles of a rectangle are always congruent.

6 "Never." A parallelogram is not always a square.

7 "Sometimes." In a rhombus, the diagonals are always perpendicular bisectors of each other, but they are not always congruent.

8 "Always." A rectangle has congruent sides, but not necessarily all four sides.

9 Given: ABCD is a parallelogram

To prove: AABC = ACDA

Proof:

AB || DC (definition of parallelogram)

AD || BC (definition of parallelogram)

∠ABC = ∠CDA (alternate interior angles)

AC = AC (reflexive property)

∠BCA = ∠DAC (alternate interior angles)

Therefore, AABC = ACDA (ASA congruence theorem)

10 Given: TRAP is an isosceles trapezoid

To prove: AAPR ARTA

TR = AP (definition of isosceles trapezoid)

∠APT = ∠ATR (alternate interior angles)

∠PAR = ∠RTA (alternate interior angles)

∠PAR = ∠APT (angles at a point)

Therefore, AAPR ARTA (AA congruence theorem)

Consecutive angles of a rectangle are always congruent. This is a property of rectangles that is true for every rectangle.

A square is a specific type of parallelogram that has all four sides congruent and all four angles right angles.

A rectangle has two pairs of opposite sides that are congruent, but the adjacent sides may have different lengths. This is a defining characteristic of rectangles, and it is always true for every rectangle.

The ASA congruence theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle. In this case, ∠ABC and ∠CDA are congruent by (3), AC is congruent by (4), and ∠BCA and ∠DAC are congruent by (5). Therefore, AABC = ACDA by the ASA congruence theorem.

The AA congruence theorem states that two triangles are congruent if two angles of one triangle are congruent to two angles of the other triangle, and the side between those angles is congruent in both triangles

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Answer:

b/c is the correct answer

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

The required temperature at 5:00 am is -12° F.

Given,
The temperature at 5:00 p.m. was -4° F. By 5:00 a.m. the temperature had decreased by 8° F what was the temperature at 5:00 a.m is to be determined and shown it with a vertical number line.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

The temperature at 5:00 p.m. was -4° F.
By 5:00 a.m. the temperature had decreased by 8° F.
The temperature at 5:00 a.m. = - 4 - 8
                                                  = -12° F

Thus, the required temperature at 5:00 am is -12° F.

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Answer:

ok

Step-by-step explanation:

1) 35 094

2) 761 169 102

3) 3059 117 718

4) 75.6

5) P 1 450.90

Answer:

The proportion of bottles that will have more than 30 ounces dispensed into them is 0.9772 = 97.72%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The amount dispensed has been observed to be approximately normally distributed with mean 32 ounces and standard deviation 1 ounce.

This means that \(\mu = 32, \sigma = 1\)

Determine the proportion of bottles that will have more than 30 ounces dispensed into them.

This is 1 subtracted by the p-value of Z when X = 30, so:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{30 - 32}{1}\)

\(Z = -2\)

\(Z = -2\) has a p-value of 0.0228.

1 - 0.0228 = 0.9772

The proportion of bottles that will have more than 30 ounces dispensed into them is 0.9772 = 97.72%.

Rational numbers are those that can be expressed as fractions or ratios between two whole numbers while irrational numbers are those that cannot be expressed as a fraction or ratio between two integers.

Pi is an irrational number with infinite non repeating decimal values.

It cannot be expressed as a fraction.

The value for cotangent of ∠V is 55.6°.

What is pythagora's theorem?

Cotangent = adjacent / opposite

Pythagoras theorem,

WV² = XW² + VW²

9² = x² + (√57)²

x² = 81 - 57

= 24

x = √24

= 4.89

cot (v) =  √24 /  √57

v = cot⁻¹ (0.6488)

v = 55.6°

Hence, the value for cotangent of ∠V is 55.6°.

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Answer:

.70 Kilograms

Step-by-step explanation:

Since both pecans, and almonds are nut.

You add 0.54+0.16 and you get 0.70.

The solution for several values of k,r , and ϕ. the phase shift of the oscillation

A) The given differential equation:
\(dP/dt = kP*cos^2(rt - ϕ)\)
First, let's rewrite it as a separable equation:
\((dP/P) = k*cos^2(rt - ϕ) dt\)
Now, we'll integrate both sides:
\(∫(1/P) dP = ∫k*cos^2(rt - ϕ) dt\)
ln(P) =\( ∫k*cos^2(rt - ϕ) dt + C\)
To solve for P, we can use exponentiation:
\(P(t) = P₀ * exp(∫k*cos^2(rt - ϕ) dt)\)
Unfortunately, the integral of

\(k*cos^2(rt - ϕ) dt \)
B) To graph the solution for various values of k, r, and ϕ, you can use a computer software like MATLAB, Python, or other graphing tools. In general, the values of k, r, and ϕ affect the solution in the following ways:
1. k: It affects the amplitude of the seasonal growth, i.e., larger k values lead to higher fluctuations in growth rate.
2. r: It affects the frequency of the oscillation, i.e., larger r values result in more oscillations within a given time frame.
3. ϕ: It affects the phase shift of the oscillation, i.e., different values of ϕ determine the starting point of the oscillation.

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Answer:

\(-2+2\sqrt{5}-12\sqrt{3}\)

Step-by-step explanation:

\(-2-2\sqrt{5}-7\sqrt{3}+4\sqrt{5}-5\sqrt{3}\\\)

Collect like terms

\(-2\sqrt{5}+4\sqrt{5}=2\sqrt{5}\)

\(-7\sqrt{3}-5\sqrt{3}=-12\sqrt{3}\)

So \(-2+2\sqrt{5}-12\sqrt{3}\)

Answer:

I did this question for my little brother. and the answer is A. I think.

Answer:

- 376

Step-by-step explanation:

8u = 8(- 8i + 3j ) ← multiply each element by 8

    = - 64i +24j

Then

(- 64i + 24j ) • (4i - 5j )

= (- 64 × 4) + (24 × - 5)

= -256 + (- 120)

= - 256 - 120

= - 376

Answer:

The standard deviation of the data set is \(\sigma = 12.7906\).

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\(\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}\)

we use the following formula

                                             \(\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }\)

Step 1: Find the mean \(\left( \overline{X} \right)\).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     \(Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}\)

\(Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6\)

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\(\sum{\left(x_i - \overline{X}\right)^2} = 1472.4\)

Step 4: Calculate σ using the above formula.

\(\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906\)

Answer:

B

Step-by-step explanation:

range = biggest - smallest

121 - 83 = 38

range = 38

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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The area of the circle is 81π. Option A.

The area of a given circle is the amount of space that the circle will cover when considered in a 2 dimensional plane. It can be determined by;

area of a circle = πr^2

where r is the radius.

The circumference of a circle is the curved boundary of a circle. It can be determined by;

circumference of a circle = 2πr

where r is its radius.

From the given information in the question, we have a circle's circumference to the circle's area;

circumference/ area = 2/ 9

But,

circumference/ area = 2πr/ πr^2

                                  = 2/ r

Then;

2/ r = 2/ 9

2r = 2*9

   = 19

r = 18/ 2

r = 9

Thus,

area of the circle = πr^2

                             = π(9)^2

                             = 81π

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Answer:

Hello

Step-by-step explanation:

The answer is 6 1/2

When applying a loan, Collateral can be beneficial to the borrower because:   (C). giving lenders protection against financial loss and more reason to approve loans

Loan is a form of debt incurred by an individual as a result of recieving money from an individual or organization that will repaid within a definite period.

collateral can be defined as any asset (example: car, house, land etc) that is offered by the borrower to the lender to secure a loan.

it is very important because the lender is secured that if you cant repay the loan he takes the asset.

In conclusion, when taking a loan, collateral is important.

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Answer: D

Step-by-step explanation:

Since we know that the area of the square is 900 in², we can use that to find the length of each side.

900=x²                 [square root both sides]

x=30

Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.

2r=30                    [divide both sides by 2]

r=15

With the radius, we can find the area of the circle.

A=π(15)²               [exponent]

A=225π

Since the problem said to leave in terms of π, the area is A=225π in².

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Answer:

Thousandths place.

Step-by-step explanation:

The answer doesn't change that drastically

Finding the value of x,

→ 3x - 9 = 3

→ 3x = 3 + 9

→ x = 12/3

→ [ x = 4 ]

Thus, the value of x is 4.