Calculate the unit rate.
322 meters in 28 seconds

Answer:

bbbbbrrrraaa!!!

Step-by-step explanation:

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

Learn more about rounding fractions here:

https://brainly.com/question/26623700

#SPJ11

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.

The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.

To know more about standard deviation:

https://brainly.com/question/23907081

#SPJ4

The quotient in this Carl multiplies the both value instead of dividing so that is the mistake that made by Carl.

The quotient of 4 divided by 2 1/3 and also explain the mistake that done by Carl

The value of 4  1/3 is 14/3

And the value of 2  1/3 is 7/3

So then we divide 4 2/3 by 2 1/3 is,

\(\frac{14 / 3}{7 / 3}=\frac{14}{3} \frac{3}{7}\)

      =2

Carl's mistake is thinking that his quotient (2) is equal to the value of the terms involved in it. In fact, 2 is just a multiplier for 7/3 and doesn't have any specific value associated with it.

Hence, this is the quotient in this Carl multiplies the both value instead of dividing so that is the mistake that made by Carl.

To learn more about quotient visit:

https://brainly.com/question/16134410

#SPJ1

Answer:

Step-by-step explanation:

Precipitation is any form of liquid or solid water particles that fall from the atmosphere and reach the surface of the Earth.

Hence,

Hence,Arrow 4 indicates precipitation.

Answer:

2

Step-by-step explanation:

one apple and another equals to 2.

Answer: 11

Step-by-step explanation: you put one and one together lol

To guarantee that the 3 team compositions (and team leads) are repeated, the professor would need to form groups a total of 3 times over the course of the semester. Each time the professor forms groups, there would be 3 possible team compositions (since the team lead can change within each group) and after 3 formations, all 3 compositions would have been used and repeated.

To determine the number of possible unique team compositions and team leads that can be formed.
1. First, we'll find the number of ways to choose team leads for each group:
There are 12 students and 3 team leads needed, so there are 12 choose 3 ways to pick the team leads, which is calculated as C(12,3) = 12! / (3! * (12-3)!) = 220.
2. Now, we'll calculate the number of ways to divide the remaining 9 students into 3 groups of 3 students each. We can use the multinomial coefficient formula, which is:
C(9,3,3,3) = 9! / (3! * 3! * 3!) = 1680
3. To find the total number of unique team compositions (including team leads), we multiply the results from steps 1 and 2 Total unique team compositions = 220 * 1680 = 369,600
4. The professor needs to form the groups 369,601 times in order to guarantee that the 3 team compositions (and team leads) will repeat.

Learn more about compositions here: brainly.com/question/5217462

#SPJ11

The average velocity of the particle over the interval from t=1.0 s to t=3.0 s is -2.8 m/s.

The average velocity of an object is defined as the change in its position divided by the change in time. In this case, we need to find the change in position between t=1.0 s and t=3.0 s.

Given the equation for the position of the particle, x = 2.0 - 3.6t + 1.1t^2, we can calculate the position at t=1.0 s and t=3.0 s by substituting the values:

At t=1.0 s:

x = 2.0 - 3.6(1.0) + 1.1(1.0)^2 = -0.5 meters

At t=3.0 s:

x = 2.0 - 3.6(3.0) + 1.1(3.0)^2 = -20.1 meters

The change in position (Δx) over the interval is then:

Δx = (-20.1) - (-0.5) = -19.6 meters

The change in time (Δt) is 3.0 s - 1.0 s = 2.0 s.

Therefore, the average velocity (v) is given by:

v = Δx / Δt = (-19.6 meters) / (2.0 s) = -9.8 m/s

Hence, the average velocity of the particle over the interval from t=1.0 s to t=3.0 s is -9.8 m/s.

Learn more about meters here:

https://brainly.com/question/29438351

#SPJ11

Answer: See explanation

Step-by-step explanation:

Number of tickets Elian won = e

Number of tickets Alberto won = A = e - 10

Therefore, Elian + Alberto ticket = 100

e + (e - 10) = 100

2e - 10 = 100

2e = 100 + 10

2e = 110.

e = 110/2

e = 55

Elina has 55 tickets

Alberto has 55-10 = 45 tickets

The average study time of students is greater than 6.5 hours per week, at a significance level of 0.05.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To test the claim that students on average spend more than 6.5 hours studying, we can use a one-sample t-test.

The null hypothesis is that the mean study time is equal to 6.5 hours:

H0: μ = 6.5

The alternative hypothesis is that the mean study time is greater than 6.5 hours:

Ha: μ > 6.5

We can calculate the test statistic using the formula:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean (6.5), s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (7.2 - 6.5) / (2.8 / √120) = 3.18

Using a t-table with 119 degrees of freedom (df = n - 1), and a significance level of 0.05, the critical t-value for a one-tailed test (since we are testing for the mean being greater than 6.5) is 1.66.

Since our calculated t-value (3.18) is greater than the critical t-value (1.66), we can reject the null hypothesis.

Therefore, we have sufficient evidence to conclude that the average study time of students is greater than 6.5 hours per week, at a significance level of 0.05.

To learn more about the average visit:

https://brainly.com/question/20118982

#SPJ4

Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

Read more about polynomials on:

https://brainly.com/question/4142886

#SPJ4

Answer:

on which days did it rain less then one-fifth of an inch

Step-by-step explanation:

With 98% confidence interval, all teenagers' mean number of hours watching TV per week will be (26.6,29.4).

98% confidence interval can be calculated as

Point estimate± Error margin

Point estimate=mean number of hours watching TV

students=28.

Error margin=1.4.

As per given data, the 98% confidence interval for all teenagers is

=28± 1.4

=(28-1.4,28+1.4)

=(26.6,29.4)

Statisticians use confidence intervals to assess the level of uncertainty in a sample variable. For instance, a researcher may select numerous samples at random from the same population and compute a confidence interval for each sample to estimate how each sample may correctly reflect the true value of the population variable. With certain intervals including the true population parameter and others not, each produced dataset is distinct. Confidence intervals are a set of values that are constrained by the mean of the statistic and are likely to include an unidentified population parameter. The confidence level is the proportion of likelihood, or certainty, that, after multiple draws from a random sample, the confidence interval would contain the true population parameter.

To learn more about confidence interval: https://brainly.com/question/14825274

#SPJ4

The three interior angles of a triangle measure z degrees , (x+5)degrees , and (x+25) degrees. So, the measure of one of the three angles is x+5.

The sum of the interior angles of a triangle is always 180 degrees.

Therefore, we can write an equation using the given angle measures:

z + (x+5) + (x+25) = 180

Simplifying the equation, we get:

2x + 30 + z = 180

Subtracting 30 and z from both sides, we get:

2x = 150 - z

Dividing both sides by 2, we get:

x = (150 - z) / 2 - 5

So the measure of one of the three angles is x+5, which is:

x + 5 = [(150 - z) / 2 - 5] + 5

x + 5 = (150 - z) / 2

x + 5 = 75 - z/2

Therefore, one of the angles measures (x+5) degrees.

Learn more about triangle here https://brainly.com/question/2773823

#SPJ4

The quadratic function is A(x) = 2(405 + 36x – x²). Then the maximum potential area of this year's resized garden will be 1458.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

Every summer, Richard plants a garden on a rectangular plot of land.

Last summer, Richard's garden measured 45 feet in length and 18 feet in width.

This summer, Richard decides to resize his garden by decreasing the length of the garden, and increasing the width of the garden by two times the length reduction.

The area of this year's garden, A(x), can be modeled by a quadratic function, where x is the number of feet that the length is reduced.

Length = (45 – x)

Width = (18 + 2x)

Then the maximum potential area of this year's resized garden will be

A(x) = (45 – x)(18 + 2x)

A(x) = 810 + 72x – 2x²

A(x) = 2(405 + 36x – x²)

For maximum potential, A'(x) = 0

    A'(x) = 0

36 - 2x = 0

       2x = 36

         x = 18

Then the maximum potential area will be

A(x) = 2(405 + 36 × 18 – 18²)

A(x) = 1458

More about the maximum and minimum value of the function link is given below.

https://brainly.com/question/13581879

#SPJ1

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

The cat population in Catonsville in 2007 was 200. The answer is option B.

Population refers to the total number of people, animals, or objects in a particular group or area. It is the entire group or collection of individuals, things, or events that we are interested in studying or describing.

We can use the given equation to find the cat population at any given time in years since the beginning of 2010. However, to find the population in 2007, we need to make a conversion from years since the beginning of 2010 to years since the beginning of 2007.

From the beginning of 2007 to the beginning of 2010, there are 3 years, so if we subtract 3 from the number of years since the beginning of 2010, we will get the number of years since the beginning of 2007. Therefore, we need to substitute t = -3 into the given equation and solve for p:

\(p = 1600(2)^t\\p = 1600(2)^(-3)\\p = 1600(1/8)\\p = 200\)

Therefore, the cat population in Catonsville in 2007 was 200. The answer is option B.

To know more about population visit:

https://brainly.com/question/27779235

#SPJ1

Answer:

y-4=4(x-4)

Step-by-step explanation:

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

m=(8-4)/(5-4)

m=4/1

m=4

y-y1=m(x-x1)

y-4=4(x-4)

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

Step 1: Concept

The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Step 2: Find the axis of symmetry using the formula

The axis of symmetry is a vertical line.

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Therefore, the axis of symmetry is x= 1

Step 3: Find the vertex

To find the vertex, you substitute x = 1 in the equation of a parabola.

The vertex = (1,9)

Answer:

y = 4x

Step-by-step explanation:

it's on the orgin and I got it right

Answer:

y = 4x - 9

Explanation:

slope intercept form:

In the given equation y = 4x - 7, the slope is 4 and y-intercept is -7.

If the equation's are parallel to each other, the slopes are same. \(\sf m_1 = m_2\)

So the slope for equation which passes through (3, 3) will be 4.

Equation:

\(\sf y - y_1 = m(x - x_1)\)

\(\rightarrow y - 3 = 4(x - 3)\)

\(\rightarrow y - 3 = 4x - 12\)

\(\rightarrow y = 4x - 12+3\)

\(\rightarrow y = 4x - 9\)

Answer:

3(2x+4)+2(x-2)

6x+12+2x-4

6x+2x+12-4

8x+8

I am from grade 9 from which grade are you

The square root of 59 lies in between the square root of 49 and 64

The square root of 49 = 7

The square root of 64 = 8

Hence, it lies between 7 and 8

The relationship between Quantity A and Quantity B cannot be determined from the given information.

The question provides information about the percentage increase in net income from 2001 to 2005, but it does not provide any specific values for the net income in either year. Therefore, it is not possible to calculate the exact values of Quantity A or Quantity B.

Let's assume the net income in 2001 is represented by 'y' and the net income in 2005 is represented by 'z'. We know that the net income increased by 12 percent from 2001 to 2005. This can be represented as:

z = y + (0.12 * y)

z = 1.12y

Now, we are given that the net income in 2001 (y) is x percent of the net income in 2005 (z). Mathematically, this can be represented as:

y = (x/100) * z

Substituting the value of z from the earlier equation:

y = (x/100) * (1.12y)

Simplifying the equation, we get:

1 = 1.12(x/100)

x = 100/1.12

x ≈ 89.29

From the above calculation, we find that x is approximately 89.29. However, the question asks us to compare x with 88. Since 89.29 is greater than 88, we can conclude that Quantity A is greater than Quantity B. Therefore, the correct answer is Quantity A is greater.

Learn more about relationship here:

https://brainly.com/question/10679131

#SPJ11

Answer: $24 per liter

Answer:

I think its 24$

Step-by-step explanation:

Divide 60 by 2.5

EXPLANATION

The player tries to throw a disc into the metal basket, so the targets that are closest togheter are represented by the BC segment because it has the closest angle and path.

The angle CBD is equal to 64 degrees by sum of interior angles definition. Furthermore, angle CBD is congruent to angle ABD.

The angle DAB is equal to 56 degrees.

In order to get an angle DAB equal to 56 degrees, the point A must be further away.

So, the only triangle that can satisfy the condition is the △BCD.

The point D is not an option because it is farther away from B and D because it has a closest angle.

So, the answer is the segment BC.

Answer:

the answer is 32

Step-by-step explanation:

mark me as brainliest and follow me

Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

https://brainly.com/question/30249498

#SPJ2