A sprinter travels a distance of 200 m in a time of 20.03 seconds.
What is the sprinter's average speed rounded to 4 sf?

Answers

Answer 1

Given:

Distance traveled by sprinter = 200 m

Time taken by sprinter = 20.03 seconds

To find:

The sprinter's average speed rounded to 4 sf.

Solution:

We know that,

[tex]\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]

It is given that, the sprinter travels a distance of 200 m in a time of 20.03 seconds.

[tex]\text{Average speed}=\dfrac{200}{20.03}[/tex]

[tex]\text{Average speed}=9.985022466[/tex]

[tex]\text{Average speed}\approx 9.985[/tex]

Therefore, the average speed of the sprinter is 9.985 m/sec.

Answer 2

Answer:

9.985

Step-by-step explanation:


Related Questions

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 15y = 135

Answers

Answer:

y=3/5x-9

Step-by-step explanation:

9x – 15y = 135

Subtract 9x from each side

9x -9x – 15y =-9x+ 135

-15y = -9x +135

Divide each side by -15

-15y/-15 = -9x/-15 +135/-15

y=3/5x-9

Find m These questions getting hard

Answers

Answer:

the

Step-by-step explanation:

it's fairly easy actually. You just have to use sin

Let sin A = -5/13 with 270 degrees < A < 360 degrees and cos B = -15/17 with 90 degrees < B < 180 degrees find sin (A+B)

Answers

Answer:

Step-by-step explanation:

Malingo read 3/8 of a book on Friday, 1/4 on Saturday and the rest on Sunday. what fraction did he read on Sunday?​

Answers

Answer:

3/8

Step-by-step explanation:

We can write the entire book with the number 1. Now we can write this operation

3/8 + 1/4 + x = 1

3 + 2 + 8x = 8

5 + 8x = 8

8x = 3

x = 3/8

Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?

Answers

the answer is B. an = 13 + 14(n-1)

Answer:

B

Step-by-step explanation:

an = a+(n-1)d

an=13+(n-1)14

d=14

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 82% confidence interval to 25 points, how many students should the administrator sample

Answers

Answer:

The appropriate solution is "259".

Step-by-step explanation:

According to the question,

[tex]\sigma = 300[/tex]

[tex]M.E=25[/tex]

At 82% CI,

[tex]\alpha = 0.18[/tex]

Critical value,

[tex]Z_c=1.341[/tex]

Now,

The sample size will be:

⇒ [tex]n=(Z_c\times \frac{\sigma}{E} )^2[/tex]

By substituting the values, we get

      [tex]=(1.341\times \frac{300}{25} )^2[/tex]

      [tex]=(1.341\times 12)^2[/tex]

      [tex]=259[/tex]

Can someone please help me with this.

Answers

f(a)= -3a+2b

Hope this helps!

please help, will give brainliest!!!

Answers

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

y = x^2 -4

Exchange x and y

x = y^2 -4

Add 4 to each side

x+4 = y^2

Take the square root of each side

sqrt(x+4) = y

f^-1(x) = sqrt(x+4)

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable.

Answers

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

...............................................................

Answers

You got a question...or..?

Find the area of the triangle which the line 2x – 3y +6=0 forms with the coordinate axis.

Answers

2x-3y+6=0 has an x intercept of 2 and a y intercept of -3.

That means the 2 sides of the right triangle are 2 and -3

Area of triangle= 1/2×base×height

                         = 1/2×-3×2

                         =-3

∴ Area of the triangle=-3

The area of the asked triangle is 3 sq units.

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a triangle is formed by the line 2x – 3y +6=0 and the coordinate axis.

When we plot the graph of the line, we get, y-intercept = 2 and x-intercept = -3

Hence, the height and base of the triangle will be 2 and 3 respectively.

Area of a triangle = 1/2 (base) (height)

Area = 1/2 (2)(3)

Area = 3

Hence, the area of the asked triangle is 3 sq units.

Learn more about areas, click;

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Function: g(x) = 2x2 - 8


Answers

Answer:

f(x)= √ 1 2 x + 4 For x ≤ 0

Step-by-step explanation:

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Answers

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

Select the correct answer from each drop-down menu.

The given composite shape has an area of (72,78,66,84) cm2 and a perimeter of (42,47,40,33) cm.

Answers

Answer:

78 cm²

42 cm

Step-by-step explanation:

To obtain the area of the shape given :

The figure is divide into three different rectanglular parts :

Recall, area of a rectangle = Length x width :

Rectangle 1 : 9* 6 = 54 cm²

Rectangle 2 = 6 * 2 = 12 cm²

Rectangle 3 = 4 * 3 = 12 cm²

Total area = (54 + 12 + 12). = 78 cm²

Perimeter = sun of the exterior sides of the shape

Perimeter = (9 + 8 + 3 + 4 + 3 + 6 + 3 + 6) = 42 cm

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
5x – 4y = -4

Answers

4y=5x+4
Divid by 4 to make slop intercept form
Y=5/4y +1
Slop =5/4

Answer:

[tex]\boxed {\boxed {\sf y= \frac{5}{4}x+1}}[/tex]

Step-by-step explanation:

We are given the equation of a line and asked to put it into slope-intercept form.

Slope-intercept form is:

[tex]y=mx+b[/tex]

Where:

m= slope b= y-intercept

In order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.

[tex]5x-4y= -4[/tex]

5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.

[tex]5x-5x-4y=-4-5x[/tex]

[tex]-4y=-4-5x[/tex]

The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.

[tex]\frac {-4y}{-4}=\frac{-4-5x}{-4}[/tex]

[tex]y= \frac{-4}{-4}+\frac{-5x}{-4}[/tex]

[tex]y=1+\frac{5}{4}x[/tex]

Rearrange the equation.

[tex]y= \frac{5}{4}x+1[/tex]

The fractions are completely simplified, so this is our final answer.

The equation of the line in slope-intercept form is [tex]\bold {y= \frac{5}{4}x+1}}[/tex].

The slope is 5/4 and the y-intercept is 1.

(9,2) and (5,-4) find the slope of the line containing the pair of points

Answers

Answer:

3/2

Step-by-step explanation:

We can use the slope formula

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

    = ( -4-2)/(5-9)

    = -6/-4

    =3/2

How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol?

Answers

Answer:

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

Solve for X. Round to the nearest tenth, if necessary. Please help

Answers

Answer:

X=1.2/1.3

answérica is 1.25, depends on how you want to round

Step-by-step explanation:

Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection

Answers

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

You have 8 quarts of milk. You need 1.25 cups to make one serving of deep fried chicken. How many servings can you make?

Answers

Answer: 25.6 servings (partial serving) / 25 servings (whole serving)

Step-by-step explanation:

Concepts:

As we can see from the question, there are two units applied. [Quarts] and [cups]; therefore, we need to do the unit conversion.

1 quart = 4 cups

Solve:

Step one: Convert quarts into cups

1 quart = 4 cups8 quarts = 4 × 8 = 32 cups

Step two: Divide the cups to find the number of servings

32 cups / 1.25 cups = 25.6 servings

**Disclaimer** I am not sure about the rules that you apply in mathematics. Here, the answer is not an integer. I am concerned whether you would allow partial servings. In my understanding, the servings shall be a whole, thus should be rounded. However, if you are fine with decimals, then you have the choice.

Hope this helps!! :)

Please let me know if you have any questions

A university professor asked his class of 42 students when they had studied for his class the previous weekend. There responses were. please answer part a, b and c

Answers

ANSWERS:

a) 16 students

b) 25 students

c) 2 students

STEP BY STEP:

There are 42 students in total. This question can be solved by "Principal of Inclusion and Exclusion"

Question a)

The students that studied on Sunday in total with overlaps is 30. To figure out the students that ONLY studied on Sunday you need to first minus the overlaps in the combos:

the combos:

3, 10, 6, 2

Since the last combo included all of the other dates, we need to minus it:

1, 8, 4, 2

Now we can use the total of Sunday and minus the combos that includes Sunday:

30 - (4 + 2 + 8)  = 16 students

Question b)

To figure out all the students that only studied on ONE day, not 2 not 3, just one day. We need to figure out the students that studied for Saturday and Friday using the same method before for figuring out Sunday:

Friday: 9 - 4 - 1 -2 = 2 students

Saturday: 18 - 1 - 2- 8 = 7 students

and now add them all together: 2 + 7 + 16 = 25 students

That is the total number of students that studied on one day.

Question c)

Now for the numbers of students that didn't study... We can just use the total to minus everything else!

42 - (25 + 1 + 4 + 8 + 2) = 2 students!!!

And thats all done!  If you still don't get it, please ask!

What is the constant of variation k of the direct variation y=KP through (-3, 2)

Answers

Answer:

isisis

Step-by-step explanation:

ISO’s

Answer:

-2/3

Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.

what is proportion as applied in mathematics​

Answers

Answer:

como se siente el actor al presentar la obra hola

Subtract 7 pounds 3 ounces from 10 pounds

Answers

(10 pounds) - (7 pounds 3 ounces) =
2.8125 pounds

Given the functions below, find f(x) - g(x) f(x) = 3x^2 + 2x + 1 g(x) = x^2 - 6x + 3

Answers

Answer:

Here is your answer.....

Hope it helps....

The value of given function f(x) - g(x) is 2x² + 2x + 1.

What is function?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 characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

Given,

                  f(x) =3x² + 2x + 1

                  g(x) = x² - 6x + 3

f(x) - g(x) = ( 3x² + 2x + 1) - ( x²- 6x + 3)

              = 3x² + 2x +1 - x² + 6x - 3

              = 2x² +8x - 2

Therefore , the value of given function f(x) - g(x) is 2x² + 2x + 1.

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The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. (Select all that apply.) There are no potential problems with self reporting of distances.

Answers

Answer:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Step-by-step explanation:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

If x = y, then x – a = y – a represents the ________ property of equality.

Answers

Answer:

Subtractive Property of equality

Step-by-step explanation:

Since x = y, When you subtract anything from x, you must do the same to y for them to stay equal.

Answer:

Subtraction property of equality

A scale drawing of a square desk is ¼ inch to 1 foot. The actual desk is 50 feet wide. What is the area of the desk in the model?
156.25 in2
40000 in2
625 in2
10000 in2

Answers

Answer:

Step-by-step explanation:

In a tram, 12% of the passengers go without a ticket. What can be the largest number of passangers in the tram, if its not greater than 60

45 POINTS

Answers

Answer:

Approximately 53 passengers

Step-by-step explanation:

12% of the passengers go without a ticket
so that means 88% of the passengers go with ticket

The largest number of passengers in the tram cannot be greater than 60

Solution:

Set up the dimensions this way:

•part/whole = part/whole

•88%/100% = ?/60
________________________

Then multiply 60 x 88

60 x 88 = 5280

Then divided 5280 by 100

5280 divided by 100 = 52.8

________________________

So the largest number of passengers in the tram is approximately 53

21. Gabe Amodeo, a nuclear physicist, needs 80 liters of a 30% acid solution. He currently has a 20% solution and a 60%
solution. How many liters of each does he need make the needed 80 liters of 30% acid solution?
Gabe needs
liters of the 20% solution.
He also needs
liters of the 60% solution.

Answers

Let x be the amount (in liters) of 20% solution that Gabe uses, and y the amount (also in L) of the 60% solution.

He needs 80 L of 30% solution, so that

x + y = 80

0.20x + 0.60y = 0.30 (80) = 24

Solve for y in terms of x :

y = 80 - x

Substitute this into the second equation and solve for x :

0.20x + 0.60 (80 - x) = 24

0.20x + 48 - 0.60x = 24

24 = 0.40x

x = 60

Solve for y :

y = 80 - 60

y = 20

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