The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in the simplest form.

The estimated quotient is 170.

The quotient is the result of a division operation.

A division operation involves the dividend divided by a divisor, which results in a quotient.

An estimated quotient is based on an approximation, which leaves out detailed calculations.

An approximated value is an amount or size closest to the true value.  Approximations are determined by rounding off numbers, in this situation, the dividend, and the divisor.

8,521 ÷ 48

8,500 ÷ 50

= 170

Thus, approximating 8,521 to 8,500 and 48 to 50, the estimated quotient is 170.

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Answer:

B) 1.5

Step-by-step explanation:

Answer:

A. 2 km

Step-by-step explanation:

1.8/0.9 is 2

the constant of proportionality is 2

1*2=2

Answer:

Any number that is multiples of 33,6,9,12

Step-by-step explanation:

Have a great day!!

The total weight is 18.5 kilograms

Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

Joanne's health insurance plan with a $1000 deductible, 80% coinsurance, and a $5000 out-of-pocket cap requires her to pay for her medical expenses until she reaches the deductible.

After reaching the deductible, she is responsible for 20% of the covered expenses, up to the out-of-pocket cap. The plan pays the remaining percentage of covered expenses.

To calculate how much the plan pays for Joanne's July losses, we need to consider her deductible, coinsurance, and out-of-pocket cap.

In March, Joanne incurs $1000 in covered medical expenses.

Since this amount is equal to her deductible, she is responsible for paying the full amount out of pocket.

In July, Joanne incurs $3000 in covered expenses. Since she has already met her deductible, the coinsurance comes into play.

According to the plan's coinsurance rate of 80%,

Joanne is responsible for 20% of the covered expenses.

Therefore, Joanne is responsible for paying 20% of $3000, which is $600.

The plan will pay the remaining 80% of the covered expenses, which is $2400.

In December, Joanne incurs $30,000 in covered expenses. Since she has already met her deductible and reached her out-of-pocket cap, the plan pays 100% of the covered expenses.

Therefore, the plan will pay the full $30,000 for her December losses.

To summarize, Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

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Answer:

\(x=65\)

Step-by-step explanation:

Area of a triangle is always 180 degrees...

In this triangle we have two values given, lets make an equation & solve it:

\(x+68+47=180\)

\(x+115=180\)

\(x=180-115\)

\(x=65\)

To check if you have the right answer, add all the angles to get 180:

\(68+47+65=180\)

Therefore, x = 65

I hope this help :)

\(\huge\bold{Given :}\)

Angle ABC = \(x\)

Angle BAC = 68°

Angle BCA = 47°

\(\huge\bold{To\:find :}\)

The measure of angle ABC \(''x"\).

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\longrightarrow{\green{x\:=\:65°}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

We know that,

\(\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}\)

➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°

➪ \(x\) + 68° + 47° = 180°

➪ \(x\) + 115° = 180°

➪ \(x\) = 180° - 115°

➪ \(x\) = 65°

Therefore, the measure of ∠ ABC is 65°.

Hence, the three angles of the triangle are 65°, 68° and 47° respectively.

\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)

∠ ABC + ∠ BAC + ∠ BCA = 180°

✒ 65° + 68° + 47° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\(\boxed{Hence\:verified.}\)

(Note:- Kindly refer to the attached file.)

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)

The simplified value of the polynomial-expression "√(64m⁸n¹²)" is 8m⁴n⁶..

A "Polynomial-Expression" is an expression which consists of variables, coefficients, and exponents having operations of addition, subtraction, multiplication, and non-negative integer exponents.

To simplify the given polynomial expression √(64m⁸n¹²), we can use the property of square-roots which states that √(a×b) = √a × √b;

So, We have

⇒ √(64m⁸n¹²) = √(64) × √(m⁸) × √(n¹²),

Now, we simplify each of square roots separately:

⇒ √(64) = 8, because 8×8 = 64;

⇒ √(m⁸) = m⁴, because m⁴×m⁴ = (m⁴)² = m⁸;

⇒ √(n¹²) = n⁶, because n⁶×n⁶ = (n⁶)² = n¹²,

Substituting the values,

We get,

⇒ √(64m⁸n¹²) = 8m⁴n⁶

Therefore, the simplified polynomial expression is 8m⁴n⁶.

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The given question is incomplete, the complete question is

Simplify the polynomial expression. √(64m⁸n¹²).

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

Answer:

Hi!!

Step-by-step explanation:

7 = chewing gum

6 = mints

2 = chocolate

Answer:

number of packs of chewing gum is 7

number of mints  is 6

number of chocolate bars is 2

Step-by-step explanation:

number of packs of chewing gum → x,  cost 6¢

number of mints → y = x-1 =3z,  cost  3¢

number of chocolate bars → z = y/3 = (x-1)/3, cost 10¢

put in equation 6x + 3y +10z = 80 plug in term of x

6x +3(x-1) +10((x-1)/3) =80 multiply each side by 3

18x +9(x-1) +10(x-1) =240 distribute

18x+9x-9+10x-10 =240 combine like terms

37x-19 = 240 add 19 in each side

37x =259

x = 7

plug into y = x-1 = 7-1 = 6 so y=6

and  z = y/3 =6/3 =2 so z = 2

Since no line segment or reference diagram is provided in the question statement, considering ourselves a line as shown in the picture attached hereby, another name of the line "l" is UM.

As per the question statement, we are required to determine another name of the line, but no no line segment or reference diagram is provided, on whose basis, we were supposed to answer. Hence, we consider a line ourselves, as shown in the picture attached hereby, and then try to answer as per the question statement,

From the picture attached hereby, we can clearly see that, although the line "l" is a ray, it has two points "U" and "M" at the extremes, i.e., points U and M lie on the line. Hence, line "l" can be referred to as "UM" also.

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a. The statement is true.

b. The statement is false.

c. The statement is false.

  a. When the null hypothesis of equal means for four groups is rejected using ANOVA at a significance level of 0.05, it implies that there is sufficient evidence to suggest differences between the group means. ANOVA compares the variability between groups to the variability within groups. If the null hypothesis is rejected, it means that the standardized variability between the groups is higher than the standardized variability within the groups.

b. The appropriate significance level for pairwise comparisons of group means, also known as post hoc tests, is not simply divided by the number of groups. Dividing the significance level by the number of groups, as stated in option b, is not a valid approach. To appropriately account for multiple comparisons, adjustments like the Bonferroni correction, Tukey's HSD, or the Sidak correction are commonly used. These methods ensure that the overall Type I error rate is controlled.

c. Rejecting the null hypothesis using ANOVA only indicates that there are differences between at least two group means. It does not provide information about which specific group means differ from each other. To identify which group means are significantly different, additional post hoc tests or pairwise comparisons are required. These tests allow for a more detailed analysis of specific group differences and provide insights into which pairs of group means are statistically significant.

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The one-sided limit of the function f(x) = cot(x) as x approaches a certain value within the interval [0, 2π] can be determined by observing the graph of the function.

The vertical asymptote of the function can also be identified by analyzing its behavior near certain points. In the case of f(x) = cot(x), the one-sided limit and vertical asymptote can be explained as follows.

The one-sided limit of f(x) = cot(x) as x approaches a specific value within the interval [0, 2π] can be determined by examining the graph of the function near that value. The graph of cot(x) consists of a repeating pattern of vertical asymptotes where the function approaches positive or negative infinity as x approaches these points. These vertical asymptotes occur at x = 0, x = π, and x = 2π, among others. For example, as x approaches π/2 from the left (x → π/2-), the value of cot(x) approaches negative infinity (-∞). Similarly, as x approaches π/2 from the right (x → π/2+), the value of cot(x) approaches positive infinity (+∞). These behavior patterns hold true for other vertical asymptotes as well.

The one-sided limit of the function f(x) = cot(x) within the interval [0, 2π] can be determined by examining the graph near the desired point. The vertical asymptotes of the function occur at x = 0, x = π, x = 2π, and so on. The function approaches positive or negative infinity depending on the direction from which x approaches these vertical asymptotes.

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we can check if w is in Col A by checking if there exists a solution to Ax=w. We can write the system as \(\begin{bmatrix}-6 & 12\\ -3 .

& 6\end{bmatrix}x=\begin{bmatrix}-8\\-2\\-9\\4\\0\\1\end{bmatrix}\)Using Gaussian Elimination, we can row reduce the augmented matrix:\(\left[\begin{array}{cc|c}-6 & 12 & -8\\-3 & 6 & -2\\-9 & 0 & -9\\4 & 0 & 4\\0 & 0 & 0\\1 & 0 & 1\end{array}\right] \to \left[\begin{array}{cc|c}-2 & 4 & 2\\0 & 0 & 0\\0 & 0 & 0\\0 & 0 & 0\\0 & 0 & 0\\0 & 0 & 0\end{array}\right]\)

This shows that the system is consistent, since there are only two non-zero rows in the row echelon form. Hence, w is in the column space of A.Now let's check if w is in the null space of A.

We know that a vector v is in the null space of a matrix A if and only if Av=0. We can write the equation as \(\begin{bmatrix}-6 & 12\\ -3 & 6\end{bmatrix}\begin{bmatrix}4\\1\\-2\end{bmatrix} = \begin{bmatrix}0\\0\end{bmatrix}\)Evaluating the product, we get: \

(\begin{bmatrix}(-6)(4) + (12)(1)\\(-3)(4) + (6)(1)\end{bmatrix} = \begin{bmatrix}0\\0\end{bmatrix}\)This shows that w is in the null space of A, since Av=0.

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The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.

The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:

\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)

Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.

Answer:

1) The cone's volume is 1/3 the volume of the cylinder with the same base.

Step-by-step explanation:

i dont know number 2 even though this is 5th grade math lol

Answer:

2 ( x^2 + 3 )

Step-by-step explanation:

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

83100000+1010=831,000,1010

i think option 2

Step-by-step explanation:

Answer:

1.59375

Step-by-step explanation:

51 divided by 32 which is 1.59375

to check if you are right you do 1.59375 times 32 which equals to 51

Answer:

(look at the picture)

Answer:

x = 10 degrees

Step-by-step explanation:

the sum of angles in triangle = 180 degrees

11x - 5 + 6x + 5 + x = 180

combine

18x = 180

divide

x = 10 degrees

I need points can you give me some of your points

If a line's angle with the x-axis is then, that line's slope will be tanα, and the new road's slope will be tan(0) = 0.

D Street is depicted as a vertical line with a 90° angle of inclination in the accompanying figure. In other words, D Street has an infinite slope.

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

A horizontal line now has zero slopes.

The new road has a zero slope as a result.

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The representation which is most appropriate for showing the change in the average hourly wage is: A. scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, and 6 comma 14.

In this scenario, the years would be plotted on the x-axis (x-coordinate) of the scatter plot while the hourly wage would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the years and hourly wage, an equation for the line of best fit is given by:

y = 0.8571x + 8.6429

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The estimated required sample size is approximately 62 students. To determine the estimated required sample size, we can use the formula for sample size calculation in estimating a population mean with a specified margin of error:

n = (Z * σ / E)^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

σ = estimated standard deviation of the population

E = desired margin of error

In this case, the desired margin of error is $25, and the estimated standard deviation is $125.

Substituting these values into the formula, we have:

n = (1.96 * 125 / 25)^2

n = (196 / 25)^2

n = 7.84^2

n ≈ 61.44

Rounding up to the nearest whole number, we get the estimated required sample size of 62.

Therefore, in order to estimate the average amount that students spend per week on groceries within a margin of error of $25, with a 95% confidence level and an estimated standard deviation of $125, a sample size of approximately 62 students would be needed. This sample size should provide a reasonable estimate of the population mean with the desired level of precision.

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the sum of all interior angles in a polygon, regular or not is

now, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.

we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.

The radius is 8.59 ft, the diameter is 17.18 ft and the circumference is 54 ft.

The circumference of the wheel will be 54 ft, since that's the distance the tire travels in one revolution.

The diameter of the wheel is twice the radius, so if we can find the radius we can find the diameter.

To find the radius (r), we can use the formula:

circumference = 2 × π × radius

54 = 2 × π  ×  r

r = 54 /2 π = 8.59 ft

The diameter is twice the radius, so:

diameter = 2r

diameter = 2 × 8.59 =  17.18 ft

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We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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Answer:

\(8<\sqrt{66}<9\)

Step-by-step explanation:

\(64<66<81 \implies 8<\sqrt{66}<9\)