In a race, 29 out of the 50 bicyclists finished in less than 51 minutes. What percent of bicyclists
finished the race in less than 51 minutes? Write an equivalent fraction to find the percent.
29 x
%
50 x
100

There are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

To find the number of unique 4-digit integers (excluding leading zeros) where the sum of the digits is 6, we can use a combinatorial approach.

Let's consider the four digits as four distinct positions: A, B, C, and D. The sum of the four digits is 6, so we need to distribute these six units among these four positions.

We can solve this problem using stars and bars. Imagine we have six stars (representing the six units) and three bars (representing the three dividers between the positions). The bars help us separate the units into four distinct positions.

For example, if we have the configuration "* | * * | * * | *," it represents the digits 1, 2, 2, and 1. The sum of these digits is 6.

The number of ways to arrange the six stars and three bars is given by the binomial coefficient (6 + 3 choose 3). Using the formula for combinations, we have:

(6 + 3) C 3 = (9 C 3) = 9! / (3! * (9 - 3)!) = 84.

So, there are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

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Answer: 8/19

Step-by-step explanation:

15/19 - 7/19 = 8/19

8/19 cannot be simplified further

Answer:

-1/2 !

Step-by-step explanation:

This one, you can tell in negative because the line's direction goes down! Other than that, you can use RISE/RUN to figure out the slope, from any solid point on the line! Since you go up one and to the left two, the slope is -1/2!

I hope this helps, and I'm here if you need me! :)

Answer:

Step-by-step explanation:

slope-intercept form of equation:  y = mx + b

where m is slope and b is y-intercept

If line y=ax+b passes through point (x₀,y₀) that means

that the equation y₀=ax₀+b is true

(2, 5)    ⇒   x=2,   y=5

m = 5

So:

              5 = 5×2 + b

               5 = 10 + b

               b = -5

Therefore equation in  slope-intercept form:

                                                                      y = 5x + (-5)

                                                                      y = 5x - 5                          

The equation of the line in slope-intercept form is y = 5x - 5.

Given that the slope of the line is 5 and it passes through the point (2, 5), we can use the point-slope form of a linear equation to find the equation of the line.

The point-slope form is given by:

y - y1 = m(x - x1),

where (x1, y1) is the given point and m is the slope.

Substituting the values, we have:

y - 5 = 5(x - 2).

Now, let's simplify this equation:

y - 5 = 5x - 10.

Next, let's isolate y:

y = 5x - 10 + 5.

Simplifying further:

y = 5x - 5.

So, the equation of the line in slope-intercept form is y = 5x - 5.

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Answer:

30

Step-by-step explanation:

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

1. AQ ≅ RQ (Given)

2. ∠YAF and ∠FRY are right angles (Given)

3. ∠AQY = ∠RQF (Vertical angles are congruent)

4. AQ = RQ (Given)

5. AY = RY (Side-Angle-Side Congruence)

6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)

7. AQY ≅ RQF (SAS Congruence)

Therefore, AQY ≅ RQF.

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Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

Answer:

1620

Step-by-step explanation:

If we do:

0.09x18000

We will receive a total of 1620

Leave a brainliest if this helped

Answer:

n =28

Step-by-step explanation:

subtract 32 from both sides to get n=28

n=28

Hope this helps!!! :)

Answer:

A. This conclusion was drawn using the law of detachment

Step-by-step explanation:

Definition:

Law of Detachment

If p equals q and p is also true. Then q is true.

if a number is a whole number, then it is an integer.

3 is a whole number (true statement) , so it 3 is an integer. (must be true)

Answer:

Step-by-step explanation:

It’s 0

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

a) Benjamin's weight at 3 months is 1.93 standard deviations above the national average weight for 3-month-olds.

b) Benjamin's weight at 6 months would need to be 20.11 pounds in order to have the same z-score as his weight at 3 months.

a. For the z-score of Benjamin's weight at 3 months, we can use the formula:

z = (x - μ) / σ

where x is Benjamin's weight, μ is the national average weight, and σ is the standard deviation.

Plugging in the values, we get:

z = (15.4 - 12.5) / 1.5

z = 1.93.

This means that Benjamin's weight at 3 months is 1.93 standard deviations above the national average weight for 3-month-olds.

b. Now , we can use the formula:

z = (x - μ) / σ,

where μ and σ are the national average weight and standard deviation for 6-month-olds, and z is the z-score we calculated earlier (1.93).

Rearranging the formula to solve for x, we get:

x = z σ + μ.

Plugging in the values, we get:

x = 1.93 x 2 + 17.25

x = 20.11 pounds.

Therefore, Benjamin's weight at 6 months would need to be 20.11 pounds in order to have the same z-score as his weight at 3 months.

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The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:

Option A

Step-by-step explanation:

\(-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}\)

Answer:A

Step-by-step explanation:

-14m-7m+1=-7m+1

then

-14m-7m+7m=1-1

-14m=0

m=0

Answer:

60.25 then 34.5

Step-by-step explanation:

Answer:

60.75 and 119.25

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

If you put 378 into 42 groups there is 9 pieces of candy in each group. So therefore that answer is 9.

Answer:

x = 4

Step-by-step explanation:

30x = 29x + 4

subtract 29x from both sides

x = 4

Answer: The function f(x) = 4x³ - 2x is an odd function.

Explanation: A function is said to be even if f(-x) = f(x) and odd if f(-x) = -f(x).Now, let's verify the function f(x) = 4x³ - 2x for even or odd, f(x) = 4x³ - 2xPutting x = -x in the above expression, we get f(-x) = 4(-x)³ - 2(-x) = -4x³ + 2xNow, we have to verify whether the function is even or oddf(-x) = -4x³ + 2x ≠ f(x)Therefore, the function is odd.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f(x).

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True.

The given statement is true. The distribution of sample means is the collection of the means of all possible samples (of the given size).

According to the central limit theorem, if the sample size is large enough (n ≥ 30), the distribution of sample means is approximately normal, regardless of the shape of the parent population. It is a normal distribution with a mean equal to the mean of the parent population and a standard deviation equal to the standard deviation of the parent population divided by the square root of the sample size.

The standard deviation of the sampling distribution of sample means is known as the standard error of the mean, which represents how far the sample mean is expected to deviate from the true population mean on average.

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Answer:

im pretty sure its 43.5

Step-by-step explanation:

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

Explanation: Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used.3 inches is the measurement of the scar in customary units. To convert 3 inches to metric units, multiply it by the conversion factor. There are 2.54 centimeters in one inch, which is the conversion factor. To find the equivalent metric length of a 3-inch scar, multiply 3 by 2.54. Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.  The equivalent metric length of a 3-inch scar would be 7.62 centimeters. Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used. There are 2.54 centimeters in one inch, which is the conversion factor.

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

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Answer:

how do you want me to help you?

;)

how can I help you help tell me

Answer:

253

Step-by-step explanation:

nth term = 5n + 8

49th term = 5(49) + 8

= 253

After calculation the value of κ(t) when based on the given vector function. r(t) = ⟨3t⁻¹,−3,6t⟩ is

\(k(t)=\frac{2\sqrt{36t^{-6}+1} }{9(t^{-4}+4)^{\frac{3}{2} }}\)

To find κ(t) using the given formula, we first need to determine r(t), r'(t), and r''(t) based on the given vector function.

r(t) = ⟨3t⁻¹,−3, 6t⟩

\(k(t)=\frac{||r'(t)\times r"(t)||}{||r'(t)||^3}\)

\(r' = \frac{d}{dt}(3t^{-1})\frac{d}{dt}(-3),\frac{d}{dt(6t)} = (-3t^{-1},0,6)\)

\(r"= [\frac{d}{dt})} (-3t^{-2},\frac{d}{dt}(0),\frac{d}{dt}(6) ]=(6t^{-3},0,0)\)

\(||r'r(t)\times r"(t)|| = 6\sqrt{1+36t^{-6}}\)

\(||r'(t)\times r"(t)|| = 3\sqrt{t^{-4}+4}\)

\(||r'(t)||^3 = 27 (t^{-4}+4)^{\frac{3}{2} }\)

\(k(t)=\frac{2\sqrt{36t^{-6}+1} }{9(t^{-4}+4)^{\frac{3}{2} }}\)

Therefore, the value of

\(k(t)=\frac{2\sqrt{36t^{-6}+1} }{9(t^{-4}+4)^{\frac{3}{2} }}\)

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Answer:

A scientist adds drops of liquid to a test tube. The test tube has marks every ml.

Each drop contains 0.14 mL. Between which two marks on the test tube will the

liquid be after the sixth drop is added?

a. 1/5 and 2/5, between 0.2 and 0.4 mL's

b.2/5 and 3/5, between 0.4 and 0.6 ml's

c.3/5 and 4/5, between 0.6 and 0.8 mL's

d. 4/5 and 5/5, between 0.8 and 1 ml

Douglas can buy a maximum of 57 units of good x and 28 units of good y.

If the price of good x is $4 and the price of good y is $8, and Douglas has $230.00 to spend on these two goods, we can determine the maximum quantity of each good that Douglas can purchase.

Let's denote the quantity of good x as x and the quantity of good y as y.

Since the price of good x is $4 and Douglas has $230.00 to spend, the maximum quantity of good x that Douglas can buy is given by:

x = 230 / 4 = 57.5

However, since quantities are typically whole numbers, we can round down to the nearest whole number. Therefore, Douglas can purchase a maximum of 57 units of good x.

Similarly, since the price of good y is $8 and Douglas has $230.00 to spend, the maximum quantity of good y that Douglas can buy is given by:

y = 230 / 8 = 28.75

Rounding down to the nearest whole number, Douglas can purchase a maximum of 28 units of good y.

So, Douglas can buy a maximum of 57 units of good x and 28 units of good y with his $230.00 budget.

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Carbohydrates are(a) ½ cup Cooked Oatmeal (15 gm CHO), 1 ¼ cup Whole Strawberries (15 gm CHO), 8 oz Fat-Free Milk (12 gm CHO) = 42 gm CHO.(b). 2 Slices Bread (30 gm CHO), 3 oz Turkey (0 gm), 1 Tbs Mayonnaise (0 gm), 1 cup Raw Celery (5 gm CHO), 1 Kiwi (15 gm CHO) = 50 gm CHO.(c). 1 cup Mashed Potatoes (30 gm CHO), ½ cup Corn (15 gm CHO), 4 oz Roast Beef (0 gm), 1 cup Cooked Broccoli (5 gm CHO) = 50 gm CHO.

In the given meals:

a. The total carbohydrates in ½ cup cooked oatmeal is 15 gm CHO, 1 ¼ cup whole strawberries contains 15 gm CHO, and 8 oz fat-free milk has 12 gm CHO. Adding them together, the total carbohydrates in the meal are 42 gm CHO.

b. The two slices of bread contribute 30 gm CHO, 1 cup of raw celery provides 5 gm CHO, and 1 kiwi contains 15 gm CHO. The turkey and mayonnaise do not contribute any carbohydrates. Combining these, the total carbohydrates in the meal are 50 gm CHO.

c. The mashed potatoes contribute 30 gm CHO, ½ cup corn contains 15 gm CHO, and 1 cup cooked broccoli provides 5 gm CHO. The roast beef does not contain any carbohydrates. Adding them together, the total carbohydrates in the meal are 50 gm CHO.

These calculations provide an estimation of the carbohydrate content in the given meals. It's important to note that individual nutritional content may vary depending on specific brands, preparation methods, and portion sizes. For precise meal planning and dietary advice, consulting a healthcare professional or registered dietitian is recommended.

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