You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

What percent of students answered salad?
% of students answered salad

Answer:

17-5×4 /2

12×4/2

48/2=24.

24 ans.

The answer is 24.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

For example, for a sports event, if 30 students need to be divided into groups of 5 students, then how many total groups will be formed? Such problems can be solved easily using the division operation. Here we need to divide 30 by 5. The result will be 30 ÷ 5 = 6. So, there will be 6 groups of 5 students in each. You can verify this value by multiplying 6 and 5, which will give you the original number, 30.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given:

17 - 5 x 4 / 2

= 12 * 4/2

=48/2

=24

Learn more about this concept here:

https://brainly.com/question/6078013

#SPJ2

Answer:

x = -8

Step-by-step explanation:

16 = -2x

x = 16/-2

  = -8

BRAINLIEST.

SIMPLE AND EZ.

Answer:

-8

Step-by-step explanation:

-8

x =-8

x =-16 /-2

ok give me five star

On solving the provided question, we got -  0.001 is a stronger significance level,

any of a product's characteristics taken into account in respect to a certain characteristic. especially: a term's constant component as opposed to its variable. a value that represents a quality or attribute by a number (as of a substance, device, or process)

Whenever a variable is multiplied, a coefficient is used. In this case, "z" is a variable, making 6 a coefficient. 6z stands for 6 times z. Coefficient 1 applies to variables without a value.

0.001 is a stronger significance level, It means that the probability of error for the statistic is greater than 5 in 100, therefore the researchers concluded that the research is not statistically significant.

To know more Coefficient visit:

https://brainly.com/question/27481600

#SPJ4

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

Learn more about merchandise inventory from

https://brainly.com/question/27046371

#SPJ1

Answer:

Im sorry if I'm wrong but I think it's 300+160=460

Answer:

yes your correct  but wrong

Step-by-step explanation:

To find  the area that's covered in corn you need to first write your fraction.

160/300

After you do that you have to turn it into a decimal.

.53333...

After that you need to turn it into a percent so your final answer will be....

53.333...%

BTW try looking to see if you need to round, normally it tells you to do that

The volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.

A cylinder has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.

A cylinder that is hollow from the inside out and has a gap between its internal and external radii is referred to as a hollow cylinder. The hollow cylinder's base resembles an annular ring.

Given,

Inner radius r = 5cm

Outer radius R=8cm

Height h = 9 cm

The volume of a hollow cylinder =  π (R² - r²)h

                                                      = 3.14 *(8² - 5²)* 9 = 1102.14cm³

Therefore the volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

To learn more about cylinders, follow the link.

https://brainly.com/question/23935577

#SPJ1

Answer:

53 (seconds)

Step-by-step explanation:

Let's calculate each of the boy's time to reach the destination and subtract them from each other to get our answer.

Bill:
Using the Pythagorean Theorem, a^2 + b^2 = c^2
Plugging in:
300^2 + (500+150)^2 = c^2

90000 + 650^2 = c^2 (you're gonna want a calculator)

90000 + 422500 = c^2
512500= c^2

Take the square root of both sides, isolating the variable c:
c= 715.891053 m
round it off: 716 m
c stands for the distance that Bill has to walk. If he is walking at 3 meters per second, we can divide to get the number of seconds:

716 / 3 = 238.666667 seconds to get to the playground
round it off: 239

Ted:
Using the Pythagorean Theorem, a^2 + b^2 = c^2
Plugging in:
300^2 + 500^2 = c^2

90000 + 250000 = c^2

340000=c^2

Take the square root of both sides, isolating the variable c:
c= 583.095189 m
round it off: 583 m
c stands for the distance that Ted has to walk. If he is walking at 2 meters per second, we can divide to get the number of seconds:

583 / 2 = 291.5 seconds to get to the playground
round it off: 292

Lastly, subtract the number of seconds it took Ted to the number of seconds it took Bill because Ted took a longer amount of time, and that will be your answer:
292-239= 53

The shorter route 53 seconds faster

The 95% confidence interval for the mean birth weight of girls, based on a sample of 12 observations, is estimated to be approximately 29.627hg to 32.707hg.

A confidence interval provides an estimate of the range within which the true population parameter (in this case, the mean birth weight of girls) is likely to fall. To construct a 95% confidence interval, we can use the formula:

Confidence interval = sample mean ± (critical value) × (standard deviation / square root of sample size)

Given the sample statistics, n = 12, = 31.167hg, and s = 3.157hg, we can compute the standard error by dividing the standard deviation by the square root of the sample size: s / sqrt(n) = 3.157 / sqrt(12) = 0.910hg.

To find the critical value corresponding to a 95% confidence level, we need to determine the degrees of freedom (n-1) and refer to the t-distribution table or use statistical software. Assuming a t-distribution with 11 degrees of freedom, the critical value for a 95% confidence level is approximately 2.201.

Substituting the values into the confidence interval formula, we have:

Confidence interval = 31.167 ± (2.201) × (0.910) = 31.167 ± 2.004 = (29.627hg, 32.707hg).

Therefore, we can be 95% confident that the true mean birth weight of girls lies within the range of approximately 29.627hg to 32.707hg, based on the given sample data.

Learn more about interval here:

https://brainly.com/question/11051767

#SPJ11

Answer: 19 3/8

Step-by-step explanation:

Add all the fractions and minus it from 28 1/2. So, we have to make all the denominators the same.

1) 3 1/4= 3 2/8

2) 1 3/4= 1 6/8

3) 4 1/8= 4 1/8 ( i multiplied the numerator and denominator by 2 to get number 1 and 2)

If g is the vector-valued function defined by g (t) = (sin(2t), cos(3t)), then g' (t) = (2*cos(2t), -3*sin(3t)).  

To get the derivative g'(t) of the vector-valued function g(t) = (sin(2t), cos(3t))The derivative of a vector-valued function can be understood to be an rate of change as well; for example, when the function represents the position of an object at a given point in time, the derivative represents its velocity at that same point in time.
We'll differentiate each component of the vector with respect to t.
Differentiate the first component, sin(2t), with respect to t:
d/dt(sin(2t)) = 2*cos(2t) (chain rule)
Differentiate the second component, cos(3t), with respect to t:
d/dt(cos(3t)) = -3*sin(3t) (chain rule)
So, g'(t) = (2*cos(2t), -3*sin(3t)). Therefore, the correct answer is D) (2*cos(2t), -3*sin(3t)).

Learn more about vector valued function here, https://brainly.com/question/25705666

#SPJ11

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

More on moving average: https://brainly.com/question/32464991

#SPJ11

Answer:

44

Step-by-step explanation:

4 x 11 = 44

Answer:

44

Step-by-step explanation:

11*4=44

Answer:

people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get

To set up the integral for the volume of the solid obtained by rotating the region bounded by the curves y = √x, y = 0, and x = 4 about the line x = 8, we can use the method of cylindrical shells.

The region bounded by the curves forms a solid shape when rotated about the line x = 8. Each vertical strip in this region will generate a cylindrical shell.

The height of each cylindrical shell is given by the difference between the upper curve y = √x and the lower curve y = 0, which simplifies to y = √x.

The radius of each cylindrical shell is the distance from the axis of rotation (x = 8) to the curve y = √x, which is the difference between x = 8 and x = 4, resulting in r = 8 - 4 = 4.

The differential volume element of each cylindrical shell is given by dV = 2πrh dx, where h is the height and dx is the width of the strip.

To find the limits of integration, we determine the x-values where the curves intersect. The curves y = √x and y = 0 intersect at x = 0 and x = 4.

Therefore, the integral for the volume of the solid is:

V = ∫[from x=0 to x=4] 2π(8 - x)(√x) dx

To know more about equations visit-

brainly.com/question/32073464

#SPJ11

True. The loan-to-value ratio is a calculation that compares the amount of the loan being taken out for a real estate investment project to the value of the property being purchased. This ratio is often used to determine the amount of leverage being used in the investment, with higher ratios indicating more leverage and potentially higher risk.

The LTV ratio indicates the percentage of the property's value that is financed through debt. Higher LTV ratios indicate a higher level of leverage, meaning that a larger portion of the property's value is funded through borrowed money. LTV ratios are commonly used by lenders to assess the risk associated with a real estate investment and determine the terms of the loan.

To know more about real estate, visit:

https://brainly.com/question/30169502

#SPJ11

Answer:

jddossjienrufhddddhdudjdj

Answer:

12.5% profit

Step-by-step explanation:

Answer: 2. 2

3. 110,121,132

4.22,110

5.4.5

Step-by-step explanation:

2. 20-12=8, 8divided by 4=2

3. 363 divided by 3=121(this is the avg of the consecutive multiples so one multiple must be 11 above and another 11 below

4.66 divided by 3=22, 22x 2 and 22 x 5

5.2 x2=4, 13-4=9, 9 divided by 2 is 4.5

1) Translation

2) Rotation

3) Translation

4) None of these

Given:

The equation is

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)

To find:

The solutions of given equation over the interval \([0,2\pi]\).

Solution:

We have,

The equation is

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}\)

\(\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})\)

If \(\sin x=\sin y\), then \(x=n\pi +(-1)^ny\).

Over the interval \([0,2\pi]\).

\(x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}\) and \(x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}\)

\(x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}\) and \(x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}\)

\(x=\dfrac{22\pi-21\pi }{6}\) and \(x=\dfrac{32\pi-21\pi }{6}\)

\(x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\)

Therefore, the two solutions are tex]x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\).

Answer:

C. π/6 & 11π/6

Step-by-step explanation:

If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.

Answer:

20 inches

Step-by-step explanation:

Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.

480÷12 = 40

That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.

1/2 × 40 =20

This means that the distance between the cities on the map would be 20 inches.

If we had a 10-year expected prepayment horizon then Option 1 is preferred less expense and if we had a 5-year expected prepayment horizon then Option 2 is preferred less expense.

In the given question, as a borrower, we have the option to choose between two to 30-year, monthly-payment loans: 7% interest rate with 3 points, versus 7.5% interest with one-half point.

If we assume the pricipal loan amount as $100,000 based on the two option need to monthly instalements for 30 years & the equivalent amount for the respective points.

Under mortgage loan, 3 points on $100,000 is equal to $3,000 and for 1.5 points would be $1500.

Formula for calculating the monthly instalments would be

\(\text{EMI} = P\times \frac{r}{12}\times\left [ \frac{(1+r/12)^n}{(1+r/12)^n- 1} \right ]\)

where P is Principal , r is rate of interest, n = time period in months.

Using the above said formula we can compute EMI for both the options with interest rates as 7% and 7.5% respectively.

(a) We have to find which loan option would you choose if we had a 10-year expected prepayment horizon.

If repayment is 10 years then EMI under both the options would be:

Option 1: Interest rates as 7%

\(\text{EMI} = 100,000\times \frac{7}{1200}\times\left [ \frac{(1+7/1200)^{120}}{(1+7/1200)^{120}- 1} \right ]\)

EMI = $1161.08

Option 2: With interest rate as 7.5%.

\(\text{EMI} = 100,000\times \frac{7.5}{1200}\times\left [ \frac{(1+7.5/1200)^{120}}{(1+7.5/1200)^{120}- 1} \right ]\)

EMI = $1187.02

We can respond to both questions in the following problem using the EMI calculated and the comparable amounts for the respective options.

The total price for each option is as follows.

Particulars                   Option 1                     Option 2

EMI x 12 x 10                139330                      142442

Points                           3000                         1500

Total cost                     142,330                     143,942

The less expensive Option 1 is preferred.

(b) In this question we have find which would you choose if you expect to pay off this loan in 5 years.

If repayment is 5 years then EMI under both the options would be:

Option 1: Interest rates as 7%

\(\text{EMI} = 100,000\times \frac{7}{1200}\times\left [ \frac{(1+7/1200)^{60}}{(1+7/1200)^{60}- 1} \right ]\)

EMI = $1980.12

Option 2: With interest rate as 7.5%.

\(\text{EMI} = 100,000\times \frac{7.5}{1200}\times\left [ \frac{(1+7.5/1200)^{60}}{(1+7.5/1200)^{60}- 1} \right ]\)

EMI = $2003.79

We can respond to both questions in the following problem using the EMI calculated and the comparable amounts for the respective options.

The total price for each option is as follows.

Particulars                   Option 1                     Option 2

EMI x 60                       118807.20                  120,227

Points                           3000                         1500

Total cost                     121,807.20                 121,727

The less expensive Option 2 is preferred.

To learn more about EMI link is here

brainly.com/question/24213731

#SPJ4

The option that best describes the value 1.5 in the linear equation; u = 0.75·t + 1.5 is option D

D. y-intercept and the initial amount of rain, in inches at midnight

A linear equation is an equation of the form; y = m·x + c, where, m is the slope, and c is the y-intercept of the graph of the equation.

The time at which the analysis of the rainstorm by the meteorologist starts = 10 p. m.

The linear model for the accumulation of rain is; u = 0.75·t + 1.5

The number of hours, t after midnight where; t > 0

The model for the accumulation of rain, indicates that the coefficient of t, which is 0.75 is the rate at which the rain accumulates in inches per hour, therefore, the rain accumulates at a rate of 0.75 inches per hour

The constant term in the linear equation, u = 0.75·t + 1.5, which is the constant, 1.5, is the y-intercept of the graph of the equation.

The y-intercept is the value of the equation, when the input value, the time, t = 0, which is the time at midnight

The 1.5 therefore, indicates that the y-intercept, and the level of the accumulated rain at midnight, when the time, t = 0, which is the initial amount of rain at midnight is 1.5 inches.

The correct option is therefore;

Learn more on linear equation here: https://brainly.com/question/17449824

#SPJ1

You can create an equation since both have the same value of perimeter.

====================================================

Explanation:

Let's find the slope.

\(A = (x_1,y_1) = (4,7) \text{ and } B = (x_2,y_2) = (2,3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{3 - 7}{2 - 4}\\\\m = \frac{-4}{-2}\\\\m = 2\\\\\)

The slope is 2.

Then apply point-slope form

\(\text{y} - \text{y}_1 = \text{m}(\text{x} - \text{x}_1)\\\\\text{y} - 7 = 2(\text{x} - 4)\\\\\text{y} - 7 = 2\text{x} + 2(-4)\\\\\text{y} - 7 = 2\text{x} -8\\\\\text{y} = 2\text{x} -8+7\\\\\text{y} = 2\text{x} -1\\\\\)

----------------------

Check:

Plug in x = 4. We should get y = 7 as the output.

y = 2x-1

y = 2*4-1

y = 8-1

y = 7

This verifies point A(4,7) is on the line.

Plug in x = 2. We should get y = 3 as the output.

y = 2x-1

y = 2*2-1

y = 4-1

y = 3

This verifies point B(2,3) is also on the line.

The answer is fully confirmed. You can use graphing software like Desmos or GeoGebra as a quick way to confirm.

The correct answer is d) To avoid a large number of classes with very small frequencies.

Unequal class intervals are sometimes used in a frequency distribution to avoid a large number of classes with very small frequencies. This can occur when the data range is very large or when there is a lot of variability in the data.

For example, if we have a dataset with values ranging from 0 to 1000, using equal class intervals of size 100 would result in 10 classes. However, if the data is skewed and most of the values fall in the lower range, many of the classes may have very small frequencies. Using unequal class intervals can help group the data in a way that results in more meaningful class frequencies.

Additionally, unequal class intervals can be used to better represent the distribution of the data. For example, if there is a cluster of values around a certain range, using a smaller class interval around that range can provide more detail and information about the data distribution.

Therefore, the correct answer is d) To avoid a large number of classes with very small frequencies.

Learn more about large number here:

https://brainly.com/question/31754356

#SPJ11

Answer:

sin 60 = √3/2

means perpendicular (p)= √3

and

base (h)=2

find base(b)

using pythagoras theorem

h²=p²+b²

than base (b) will be 1

now

cos 60 =b/h

=1/2

Answer:

cos 60° = 1/2

SohCahToa

sin 60° = opposite / hypotenuse

sin 60° = √3 / 2

The bottom side = √3, the hypotenuse = 2

To find the right side's value, you use Pythagorean's Theorem

cos 60° = adjacent/hypotenuse

cos 60° = 1 / 2

Answer: 298.8 seconds

Step-by-step explanation: 4.98*60=298.8

Answer:

298.8

Step-by-step explanation:

4.98x60=298.8 so you have been understand

Answer:

\(\implies \dfrac{ -4x+7}{2(x-2) }\)

Step-by-step explanation:

The given expression to us is ,

\(\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}\)

Now take the LCM as ( x - 1 ) and Simplify , we have ,

\(\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}\)

Simplifying further , we get ,

\(\implies \dfrac{ -4x+7}{2(x-2) }\)

Hence the second option is correct .

Answer:

\( \frac{ \frac{3}{x - 1} - 4 }{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2 } \\ \frac{7 - 4x}{2(x - 2)} \\ option \: b \: is \: your \: answer \\ thank \: you\)