A 5K race is about 3.1 miles. Kevin runs 3.5 miles on Monday, 4 miles on Wednesday and 1.8 miles on Friday. About how many 5K races would Kevin have completed?

Answers

Answer 1

Answer:

Kevin completed 3 races

Step-by-step explanation:

So to solve this first you would add up all of the miles Kevin ran.

[tex]3.5+4+1.8=9.3[/tex]

Then you would take the total amount he ran and divide it by 3.1 to see how many races he would have completed

[tex]9.3 / 3.1=3[/tex]


Related Questions

A scientist who studies sleep has developed a new technique to help people sleep each night. He
is conducting a study of 100 people and wants to determine if there is a significant difference in
people's amount of sleep before using the technique compared to after using the technique.
Which of the following describes the scientist's null and alternative hypotheses?
O null hypothesis: Hp = 0; alternative hypothesis: 4p=0
Onull hypothesis: 4y= 0; alternative hypothesis: 4p = 0
O null hypothesis: 44- = 0; alternative hypothesis: 4-430
O null hypothesis: 4-4370; alternative hypothesis: 4-12 = 0

Answers

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis [tex]H_0: \mu = 0[/tex]; Alternative hypothesis [tex]H_1: \mu \neq 0[/tex].

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by [tex]\mu[/tex] is of 0, hence:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, hence:

[tex]H_1: \mu \neq 0[/tex]

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What percent of 72 is 9?

18%

114%

1212%

125%

Answers

Answer:

125%

Step-by-step explanation:

i have an answer of that

9/72 x 100%
= 12.5 %

PLEASE ANSWER! WILL MARK BRAINLIEST!!


A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.

Answers

Answer:

|(x/4) - 10| or (x/4) - 10

hope this helps!!!

Answer:

Hope this help you!!

Have a good day

To rewrite y(t) = 2 * sin (4 pi t) + 5 * cos (4 pi t) in the form Asin(wt+phi), you must first find the amplitude. Use c1=Asin(phi) and c2=Acos(phi) along with the Pythagorean identity to solve for A (amplitude.) previous question: By plugging in for c1 and c2, the equation should shift to be: Asin(wt+phi)=Acos(phi)sin(wt)+Asin(phi)cos(wt) Use the identity sin(x+y)=sin(x)cos(y)+cos(x)sin(y)

Answers

Answer:

The equation in standard form is [tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex].

Step-by-step explanation:

We use the following trigonometric identity:

[tex]\sin (\alpha + \beta) = \sin \alpha\cdot \cos \beta + \cos \alpha \cdot \sin \beta[/tex], [tex]\forall\,\alpha,\beta\in \mathbb{R}[/tex] (Eq. 1)

If we have formula [tex]y(t) = 2\cdot \sin (4\pi\cdot t)+5\cdot \cos (4\pi\cdot t)[/tex], by direct comparison with (Eq. 1):

[tex]A\cdot \cos \phi = 2[/tex] (Eq. 2)

[tex]A\cdot \sin \phi = 5[/tex] (Eq. 3)

Where:

[tex]A[/tex] - Amplitude, dimensionless.

[tex]\phi[/tex] - Phase angle, measured in radians.

By dividing (Eq. 3) by (Eq. 2), we get that:

[tex]\tan\phi = \frac{5}{2}[/tex]

[tex]\phi = \tan^{-1}\left(\frac{5}{2} \right)[/tex]

[tex]\phi = 0.379\pi\,rad[/tex]

From (Eq. 2) we find the amplitude:

[tex]A = \frac{2}{\cos \phi}[/tex]

[tex]A = \frac{2}{\cos 0.379\pi}[/tex]

[tex]A = 5.390[/tex]

Therefore, we find that equation in standard form is:

[tex]y(t) = A\cdot \sin (\omega\cdot t +\phi)[/tex] (Eq. 4)

Where [tex]\omega[/tex] is the angular frequency, measured in radians per second.

([tex]A = 5.390[/tex], [tex]\omega = 4\pi\,\frac{rad}{s}[/tex], [tex]\phi = 0.379\pi\,rad[/tex])

[tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex]

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!! WITH WORK PLEASE!!!

Answers

Answer:

d= approx 10.2956

Step-by-step explanation:

d=sqrt of (7+2)^2 + (8-3)^2

d=sqrt of [81+25]

d=sqrt of 106

d = approx. 10.2956

The area of the regular octagon is 10.15 cm2. a regular octagon has sides with lengths of 1.45 centimeters. what is the measure of the apothem, rounded to the nearest hundredth of a centimeter? 1.27 cm 1.75 cm 2.33 cm 2.54 cm

Answers

The length of the apothem of the regular octagon will be equal to 1.75 cm

What is a regular octagon?

The regular octagon is the shape made up of the 8 sides or also the combination of the 8 isosceles triangles connected together side by side.

Here it is given:

Area of the Octagon = [tex]10.15\ cm^2[/tex]

The side of the octagon=1.45 cm

As we know that the octagon consists of the 8 isosceles triangles so the area of one triangle will be

[tex]= \dfrac{10.15}{8} =1.27\ cm^2[/tex]

Now the area of the isosceles triangle is given as:

[tex]A=\dfrac{1}{2} \times h\times b[/tex]

[tex]1.27=\dfrac{1}{2} \times h\times 1.45[/tex]

[tex]h=1.75\ cm[/tex]

Thus the length of the apothem of the regular octagon will be equal to 1.75 cm

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Answer:

the answer is b

Step-by-step explanation:

I’m out of school right now and i don’t know what the answer is this is the question. What’s the mean for 17 9 11 and 7?

Answers

Answer:

11

Step-by-step explanation:

Given the following question:

[tex]17,9,11,7[/tex]

To find the mean of any given data set we need to add all the values together and then divide that answer by the total amount of values in the data set.

[tex]17,9,11,7[/tex]
[tex]17+9+11+7[/tex]
[tex]9+11=20[/tex]
[tex]20+17=37[/tex]
[tex]37+7=44[/tex]
[tex]=44[/tex]

Now divide the answer by the total amount of values:
[tex]44[/tex]
[tex]a=4[/tex]
[tex]44\div4=11[/tex]
[tex]m=11[/tex]

Which means the mean of this given data set is "11."

Hope this helps.

Answer:

Mean = 11

Step-by-step explanation:

The mean is the average number of the data.

Given data: 17, 9, 11, and 7

To calculate the mean of the data, divide the sum of the data by the total numbers in the data. The quotient will be the average of the data.

[tex]\dfrac{17 + 9 + 11 + 7}{\text{Total digits in the data}}[/tex]

We can see 4 digits included in the data. Thus, the sum of the data will be divided by 4.

[tex]\dfrac{17 + 9 + 11 + 7}{4}[/tex]

Now, let's solve for the mean.

[tex]\dfrac{17 + 20 + 7}{4}[/tex]

[tex]\dfrac{44}{4} = 11[/tex]

Thus, 11 is the mean.

Please help I need the answer ASAP please i will give brainliest

Answers

Answer:

the answer is the first one

Answer:

A

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = mx +  b is slope interform but you didn't supply a problem to put into it

For rhis problem you will have to simplify correctly .

Answers

Answer:

Step-by-step explanation:

Answer:

The mistake was -9, the answer is 1x -6

Step-by-step explanation:

3 (x - 6) + (4x + 12) - 6x =

3x - 18 + 4x + 12 - 6x = (use distributive property for this step)

3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)

1x - 6 (use addition and subtraction to get the final answer)

I hope this helps you :)

Help help help help help help please

Answers

Answer:

1.   21z² - 35nz + 56n²

2.   18y + 8

3.   12z³ - 24z² + 28z

4.   56c³ + 14c²g + 21cg²

5.   21p⁵ + 42p⁴- 63p³

6.   35g⁴ + 14g³ + 21g²

7.   54c² - 27cz

8.   24n² + 15n + 18

9.   40k⁴ + 16k³p + 24k²p²

10.   45z⁵ - 36z⁴h - 63z³h²

Plz mark brainliest :)

The sides of a river are parallel. Elizabeth is located at point E, and Jacoby is located at point J. They know that they are the same distance from the ends of the bridge B1B2. Kevin is located at point K. Which of the following can be used to prove that the two triangles are congruent and that Kevin is standing at the middle of the bridge? Select all that apply.

Answers

Answer: ASA, AAS

Step-by-step explanation:

Rational Expressions Multiplying I need to know how to do it

Answers

Answer:

  (x -3)/4

Step-by-step explanation:

You multiply rational expressions the same way you multiply fractions. The numerator is the product of the numerators; the denominator is the product of the denominators. Same factors in numerator and denominator cancel to reduce the product to lowest terms.

  [tex]\dfrac{3(x-3)}{3}\cdot\dfrac{x-7}{4(x-7}=\dfrac{x-3}{1}\cdot\dfrac{1}{4}=\boxed{\dfrac{x-3}{4}}[/tex]

We cancelled the factors of 3 from the first expression, and the factors of (x-7) from the second expression. The final product is the product of the reduced rational expressions.

I need help with this question, it is for geometry ​

Answers

Answer:

x=3...

Step-by-step explanation:

Given:T is the midpoint of SU.....

To find: x

Proof: ST=TU ( T is the midpoint of SU)

         8x+11=12x-1

         11+1=12x-8x

          12=4x

           12/4=x

             x=3.

A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank's business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker's earnings rounded to the nearest dollar?

Answers

Answer:

$15,1113

Step-by-step explanation:

Given that the banker base annual salary  $75,000

1. a 2.35% commission on $2.8 million is

=(2.35/100)*2,800,000

=0.0235*2,800,000

=$65800

2.  a fee of $3.75 for each 2,750 applications processed

     =3.75*2,750

     =$10312.5

the banker's earning is $75,000+$65800+$10312.5

=$151112.5

to the nearest dollar

=$15,1113

In the function f(3) = 9 the input is

Answers

Answer:

Your answer is 3

Step-by-step explanation:

3 x 3 = 9

Answer:

The answer is 3 like so take 9÷3=3 or 3x3=9.

Find the area of the polygon
pls help

Answers

area: 36 units²

area of parallelogram = base * height

[tex]\hookrightarrow \sf 9 \ * \ 4[/tex]

[tex]\hookrightarrow \sf 36 \ units^2[/tex]

Base=9Height=4

Area:-

Base×Height9(4)36units^2

Write an expression the represents the statement "Add 9 and 3, then multiply by 6"
Asap answer please

Answers

Answer:

(9+3)*6

Step-by-step explanation:

Remember the order of operation: (PEMDAS)

Problem: (9+3)*6

Step 1 add 9+3 =12

Step 2 multiply 12*6

Step 3 your answer to solving the problem 72

Saira is using the formula for the area of a circle to determine the value of LaTeX: \prod∏. She is using the expression LaTeX: Ar^2A r 2where A=50.265 and r=4. Use a calculator to evaluate Saira's expression to find her approximation of the value of LaTeX: \prod∏to the nearest thousandth.

Answers

Answer:

3.164

Step-by-step explanation:

Given the area if the circle used by Sarah expressed as

A = πr²

Given

A = 50.265

r = 4

To get π, we will substitute the given values into the formula as shown

50.625 = π{4)²

50.625 = 16π

π = 50.625/16

π = 3.164

Hence her approximate value to nearest thousandth is 3.164

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

c to a a to f

Step-by-step explanation:

180-80=100.
A line can be assumed to be 180 degrees at a “resting” angle.

PLEASE HELP!!! (algebra 2)
The difference of two number is 2 and product of them is 224. Find the Numbers if both of them are negative.

Answers

Answer:

The numbers are 14 and 16.

Step-by-step explanation:

Equation:

x (x - 2) = 224

Solution:

x (x - 2) = 224

x² - 2x = 224

x² - 2x - 224 = 0

Now, we ended up with a trinomial. To find the two numbers, we need to factor it.

Factoring Trinomials

Trinomial is a polynomial with three terms which are connected by plus or minus notations. It is expressed as a² + b + c.

To factor, we need to follow these steps:

1. Find the factors of "ac" that when combined it will result to "b".

2. When "c" is positive, the sign in each binomial is the same as "b".

3. When "c" is negative, the sign in each binomial is different.

4. Write as the product of two binomials ( )( ).

Let us continue.

x² - 2x - 224

(x - 16)(x + 14)

Therefore, x = 16 and x = -14.

Since we are looking for a positive value, we are going to use the positive value of x and that is 16.

Larger number is 16.

x - 2 = 16 - 2 = 14

Smaller number is 14.

Final Answer:

The two numbers are 14 and 16.

Checking:

x (x - 2) = 224

16 (16 - 2) = 224

16 (14) = 224

224 = 224 ✔

PLZ HELP!!!

A bag has 10 marbles-3 red, t blue, and 2 violet. One marble is drawn and then replaced, and this action is repeated 10 times. The results are recorded in the table.

Which of the given statements is true?

A.) The experimental probability of drawing blue is 1/2
B.) The experimental probability of drawing red is 1
C.) The experimental probability of drawing red is 1/10
D.) The experimental probability of drawing violet is 0​

Answers

A because there are more blue than red and violet.

The experimental probability of drawing blue is 1/2. Then, option A is correct.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

It is given that a bag has 10 marbles-3 red, t blue, and 2 violets. The blue marbles will be 5. One marble is drawn and then replaced, and this action is repeated 10 times.

The probability is calculated as:-

P = 5 / 10 = 1 / 2

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A rectangular bathroom mirror is 2 feet tall and 10 feet wide. What is its perimeter?

Answers

The perimeter is the all the side's lengths added up together

 -- so:   Perimeter = 2 + 10 + 2 + 10 = 24 feet

Hope that heped!

What is the total price of a $5 book with a 10% sales tax?

Answers

$5.50 or 5 dollars and 50 cents

4. The value of y is directly proportional to the value of x. If y = 45 when x = 180, what is the value of y when x = 80?​

Answers

Given:

The value of y is directly proportional to the value of x.

y = 45 when x = 180.

To find:

The value of y when x = 80.

Solution:

Since the value of y is directly proportional to the value of x, therefore

[tex]y\propto x[/tex]

[tex]y=kx[/tex]      ...(i)

where, k is constant of proportionality.

Putting y=45 and x=180, we get

[tex](45)=k(180)[/tex]

[tex]\dfrac{45}{180}=k[/tex]

[tex]k=\dfrac{1}{4}[/tex]

Substituting [tex]k=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\dfrac{1}{4}x[/tex]

Put x=80 in this equation.

[tex]y=\dfrac{1}{4}(80)[/tex]

[tex]y=20[/tex]

Therefore, the value of y is 20 when x=80.

help, please see picture, and explain: no decimals please,​

Answers

[tex] - \sqrt{72} = - \sqrt{2 {}^{3} \times 3 {}^{2} } = - 2 \times 3 \sqrt{2} = - 6 \sqrt{2} [/tex]

[tex] - 4 \sqrt{8} = - 4 \sqrt{2 {}^{3} } = - 4 \times 2 \sqrt{2} = - 8 \sqrt{2} [/tex]

[tex] - \sqrt{72} - 4 \sqrt{8} = - 6 \sqrt{2} - 8 \sqrt{2} = - 14 \sqrt{2} [/tex]

PLEASE PLEASE HELP


Given <triangle> ABC is congruent to <triangle> XYZ, and m< A is 50°, m<Z is 40°, what is the m<B

90°
80°
70°
60°​

Answers

Answer:

A triangle measures 180° , so you do 50°+40° =90° then you do 180°- 90° = 90° , Therefore your answer is A. Hope this helps bye:)

Answer:

90

180-40-50=90

the triangle have 180 angle so 180 minus with 40 and 50 and you will get the m<B angle

Anyone know how to do this?

Answers

9514 1404 393

Answer:

  ∠2 = 45°

Step-by-step explanation:

Angles 1 and 2 are same-side interior angles where the transversal crosses parallel lines. That means they are supplementary angles.

  ∠1 +∠2 = 180° . . . . . supplementary angles total 180°

  135° +∠2 = 180° . . . . substitute the given value

  ∠2 = 180° -135° . . . .  subtract 135°

  ∠2 = 45°

solve pls brainliest

Answers

I believe the answer is 21/32

Which of the following numbers is between 0.62 and 1.05?
01.01
O 0.065
O 1.1
0.6

Answers

Answer:

a

Step-by-step explanation:

b is in the thousandths place, c is over 1.05, and d is no were near in between them

Answer:

1.01

Step-by-step explanation:

0.62 is equivalent to 62/100

0.6 is equal to 60/100, so 0.6 is not the answer.

0.065 is equal to 65/1000

0.6 is equal to 60/100, or 600/1000, so 0.065 is not the answer.

1.1 is equal to 1 and 10/100, while 1.05 is equal to 1 and 5/100, so 1.1 is not the answer.

Therefore, using the process of elimination, 1.01 is the answer.

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