Kate can bake 4 dozen cupcakes in an hour. Write an equation to determine how long it will take her to bake 25 dozen cupcakes. Use x for the unknown amount.

Answer:

0.2588

Step-by-step explanation:

simple answer,

Answer:

0.258819045102520762348898837624048328349...

Step-by-step explanation:

See also attachment

\( (\sqrt{3} - 1) \div 2 \sqrt{2} \)

This is a 45°-45°-90° triangle, in which the sides occur in a ratio of 1 to 1 to √2. So x = √2.

If you didn't already know that, you can trigonometry. By definition of cosine,

cos(45°) = 1/x

Then

x = 1/cos(45°) = 1/(1/√2)) = √2

The needed sample size Smaller if the margin of error .

Given,

In the question:

This question in the form of: Fill in the blanks.

So, You want to estimate the proportion of students at your university in favor of a longer spring break. changing the confidence level from 95% to 90% will decrease the needed sample size_____ if the margin of error.

Hence, The answer is smaller the margin of error.

Let's Know:

What is Confidence level?

The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.

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To complete the square for the quadratic equation x^2 + 11x + 39 = 0, the number 30 needs to be added.

To complete the square for the quadratic equation x^2 + 11x + 39 = 0, we want to rewrite it in the form (x + p)^2 + q = 0, where p and q are constants. To find p, we take half of the coefficient of x and square it. In this case, half of 11 is 5.5, and squaring it gives us 30.

Therefore, we add 30 to both sides of the equation: x^2 + 11x + 39 + 30 = 0 + 30. This allows us to rewrite the equation as (x + 5.5)^2 - 30 + 39 + 30 = 0, which simplifies to (x + 5.5)^2 + 9 = 0.

Now the equation is in the completed square form.


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The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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As per the combination method, the number of ways for 10 women and 6 men to stand in the line is 1,207,084,032,000

Combination method:

In statistics, combination method refers the method of selection of r items from a set of n items where the order of selection does not matter

Given,

Here we need to find how many different ways are there for 10 women and 6 men to stand in a line so that no two men stand next to each other.

Here we know that, first consider the positions of the women, then the positions of the men

Then the possible ways are there to arrange ten women in a row is

=> 10!=3628800.

For the given condition is no two men stand next to each other.

Therefore, we need to find how many ways we can arrange 6 men in the 11 possible places

=> 11P6 = 11×10×9×8×7×6 = 332640.

Therefore, the resulting number is

=> 3628800 × 332640 = 1,207,084,032,000

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Answer:

what expression?

Answer:

x=40

Step-by-step explanation:

alternate angles are equal so the one of the triangles angles r 50 then 50 plus 90, in a right angled triangle, adds to 140

180 minus 140 is 40

The formula for the n-th term is:

aₙ = 3*(1/2)⁽ⁿ⁻¹⁾

For a geometric sequence where the first term is a₁ and the common ratio is r, the formula for the n-th term is:

aₙ = a₁*(r)⁽ⁿ⁻¹⁾

Here we know that the first term is a₁ = 3 and the common ratio is r = 1/2.

Then the formula for the n-th term of the sequence is:

aₙ = 3*(1/2)⁽ⁿ⁻¹⁾

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The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

\(tan( \theta) = \frac{opposite}{adjacent} \)

\(tan( 61 ^{ \circ}) = \frac{553.3}{ Vic' s\: distance \: to \: tower} \)

\(distance = \frac{553.3}{tan ( {61}^{ \circ} )} = 306.7\)

Similarly, we have;

\( Dan's distance = \frac{553.3}{tan ( {72}^{ \circ} )} = 179.8\)

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan d is found as follows;

Therefore;

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Answer:

Students who watch television in the evenings tend not to have any homework is the association suggested by the two-way table.

Step-by-step explanation:

Of the students who watch television, 33% have homework, and 67% do not have homework.

So, students who watch television in the evening tend not to have homework.

Of the students who do not watch television, 75% have homework, and 25% do not have homework.

So, students who do not watch television in the evenings tend to have homework.

I just had the question on Study Island!

Answer:

Students who watch television in the evenings tend not to have any homework.

Step-by-step explanation:

Have a good day :)

Answer:

x = -4 and y = 1

Step-by-step explanation:

hope this helps please like and mark as brainliest

Answer:

natasha gets 14 sweets

Step-by-step explanation:

7x2=14

7x5=35

35-14=21

Answer:

Step-by-step explanation:

first of all use ^ to indicate exponents

simplify

3ab-a^2=3a^2

subtract a^2 to 3a^2

3ab+2a^2

Answer:

-a(a-2b-3)

Step-by-step explanation:

Step 1: Pull out like-factors.

-a^2+ 2ab+3a

Step 2:

-a^+ -a + a + 2ab + 3a

Step 4:

-a(a-2b-3)

Answer: The markup- 122.225%

Revenue/price- 133.33$

Gross profit- 73.33%

Step-by-step explanation:

The gross profit P is the difference between the cost to make a product C and the selling price or revenue R.

P = R - C

To calculate revenue R based on the cost C and the desired gross margin G, where G is in decimal form:

R = C / ( 1 - G)

The gross profit dollars P is the revenue dollars R from the sale times the gross margin G percentage, where G is in decimal form :

P = R * G

The markup percentage M, in decimal form, is gross profit P divided by cost C.

M = P/ C

M * 100 will change the decimal to a percentage.

The selling price of the boots is $93.

Given information:

The Shoe Outlet purchased the boots for $60 and increased their price by 55%

To calculate the selling price of the boots with a 55% mark-up, to add 55% of the original cost to the original cost.

Calculate the mark-up amount as follows:

Mark-up = 55% of $60

Mark-up = 0.55 * $60

Mark-up = $33

Add the mark-up to the original cost to find the selling price as follows:

Selling Price = Original Cost + Mark-up

Selling Price = $60 + $33

Selling Price = $93

So, the selling price of the boots is $93.

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The average deviation from the mean is 0.19 that can be calculated from the mean.

An average is calculated for a set of numbers that are of the same value range.

Mean = (32.52+32.14+32.61+32.75)/4 = %32.50

Standard deviation =

|32.50-32.52| = 0.02

|32.50-32.14| = 0.36

|32.50-32.61| = 0.11

|32.50-32.75| = 0.25

(.02+.36+.11+.25)/4= 0.19

So the standard deviation is 0.19

Relative deviation = .19/32.50=0.0058 or %0.58

Yes, %32.14, because it deviates too far from the average.

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Answer:

950

Step-by-step explanation:

19 ×5

then add the zero

Answer:

im not gonna lie cat i have no clue.

Step-by-step explanation:

Answer:

140785

Step-by-step explanation:

The lake activity with a central angle of  \(39.6^\circ\) is Wakeboarding.

11. the number of tortilla sandwich wraps falling into each interval can be represented by the height or area of the bars. This allows for an easy visualization of the distribution of the data.

12. To determine which bus typically has the faster travel time, we need to compare the measures of center for each data set. Since there are outliers in both data sets, the median would be a more appropriate measure of center than the mean.

For Bus 14, the median is (10 + 12)/2 = 11.

For Bus 18, the median is (10 + 14)/2 = 12.

Therefore, Bus 18 typically has the faster travel time, with a median of 12 minutes.

13. The IQR (interquartile range) is the best measure of variability for the data because it is less sensitive to outliers than the range, and it gives us an idea of how spread out the middle 50% of the data is.

To find Q1, we need to find the median of the lower half of the data: (1+2)/2 = 1.5.

To find Q3, we need to find the median of the upper half of the data: (8+8+8)/3 = 8.

Therefore, the IQR = Q3 - Q1 = 8 - 1.5 = 6.5.

14. To determine the central angle of each lake activity, we need to calculate the percentage of campers who chose each activity and then multiply that percentage by 360 (the total degrees in a circle).

The percentage of campers who chose Kayaking is 15%, so the central angle would be 0.15 x 360 = 54°.

The percentage of campers who chose Wakeboarding is 11%, so the central angle would be 0.11 x 360 = 39.6°.

The percentage of campers who chose Windsurfing is 7%, so the central angle would be 0.07 x 360 = 25.2°.

The percentage of campers who chose Waterskiing is 13%, so the central angle would be 0.13 x 360 = 46.8°.

The percentage of campers who chose Paddleboarding is 54%, so the central angle would be \(0.54 x 360 = 194.4^\circ.\)

Therefore, The lake activity with a central angle of  \(39.6^\circ\) is Wakeboarding.

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The acceleration of the particle at S = 40 m is approximately 2\(m/s^2\)

To determine the acceleration of the particle when S = 40 m, we need to use the information given in the graph. The graph shows the velocity of the particle as a function of its displacement, S. Recall that acceleration is the rate of change of velocity with respect to time.

We can estimate the acceleration at S = 40 m by finding the slope of the tangent line to the velocity curve at that point.

One way to estimate the slope of the tangent line is to draw a line that is as close as possible to the curve at the point S = 40 m, and then find the slope of that line. We can use a ruler to draw a tangent line that intersects the curve at S = 40 m, as shown in the graph.

We then measure the displacement and velocity of two points on the tangent line, one on either side of S = 40 m. For example, we might choose the points S = 35 m and S = 45 m, and find their corresponding velocities, which are approximately v = 25 m/s and v = 45 m/s, respectively.

The slope of the tangent line is then given by the change in velocity over the change in displacement:

acceleration = (v2 - v1) / (S2 - S1)

Substituting the values we found, we get:

acceleration = (45 m/s - 25 m/s) / (45 m - 35 m) = 2\(m/s^2\)

Therefore, the acceleration of the particle at S = 40 m is approximately 2\(m/s^2\).

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Answer:

hence the value of x is either 5 or 2

x=5 or x=2

Answer:

u > - 7

Step-by-step explanation:

7u - 32 < - 3(6-3u)

7u - 32 < - 18 + 9u

18-32 < - 7u + 9u

-14 < 2u

2u > - 14

u > - 7

Answer:The solution is in the attached file below

Step-by-step explanation:

Answer:

1440 min

24 hours × 60 min

Answer:

A)

Step-by-step explanation:

negative number must be placed in parenthesis to avoid confusion.

W^2 - v + 1 Is represented as (-2)^2 - (-8) + 1

Answer:

Step-by-step explanation:

x= -2

y=2

Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer:

what type of math is it?

Step-by-step explanation:

Answer:

y=x-2

Step-by-step explanation:

the equation for slope intercept is y=mx+b, where m is the slope and b is the y intercept. The y intercept is -2, (where the line comes in contact with the x axis) and the slope is determined from the equation y2-y1/x2-x1 (rise over run) With this, we can see the slope is 1. hope this helps

In 6 years, there will be 90,000 fewer people living in Todsham compared with now.

percentage, a relative value indicating hundredth parts of any quantity.

Given that  town of Todsham currently has a population of 300,000.

Each year, the population of Todsham will reduce by 5%.

We need to find the number of people will live in Todsham in 6 years compared with now

The population reduction in one year will be 5% of 300,000, which is:

300,000 ×0.05 = 15,000

Now in 6 years, the population reduction

15,000×6 = 90,000 people.

Therefore, in 6 years, there will be 90,000 fewer people living in Todsham compared with now.

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Three examples of errors that would not be detected by the checksum of the GTIN number 978-0-7356-1967-8 are:

1. Transposing two adjacent digits: 978-0-7356-1976-8.

2. Substituting one digit with another: 978-0-7356-1867-8.

3. Swapping two non-adjacent digits: 978-0-7536-1967-8.

The checksum in a GTIN number is calculated using a formula that assigns weights to each digit and performs a modulo 10 operation. In this case, the formula used is called the GTIN-13 algorithm, which calculates the 13th digit (checksum) based on the first 12 digits. The checksum is designed to detect common errors, such as transpositions, substitutions, and swaps, by ensuring that the resulting sum is divisible by 10.

However, there are certain errors that can occur and still result in a valid checksum. For example, transposing two adjacent digits (e.g., switching 6 and 7 in 1967) would not be detected because the individual digit weights cancel each other out. Similarly, substituting one digit with another (e.g., replacing 9 with 8) may also go undetected because the sum remains the same. Additionally, swapping two non-adjacent digits (e.g., exchanging the positions of 5 and 7) does not affect the checksum either.

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