Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and JJJ be the time it takes Jim to complete the race. Based on previous results, they know that \mu_A=11.5μ A ​ =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and \sigma_A=1σ A ​ =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that \mu_J=10.5μ J ​ =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and \sigma_J=0.5σ J ​ =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds.

Answers

Answer 1

Answer:

μd= 1 second

σd= square root (1.25) = √1.25 seconds= 1.1180 seconds

Step-by-step explanation:

Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.

Find the standard deviation of DD

The mean difference is found out by subtracting the individual means.

The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second

The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1

σd = sqrt( σ1² / n1 + σ2 ²/ n2 )

First we calculate the variances.

Variance is the square of the standard deviation.

The variance of Andy =σA²= 1²= 1

The variance of Jim =σJ²= (0.5)²= 0.25

The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds


Related Questions

I WILL MARK BRAINLIEST!!

Answers

Answer:

i think 108

Step-by-step explanation:

The state fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54
students. Every van had the same number of students in it as did the buses. Find the number of students
in each van and in each bus.

Answers

Answer:

8 students in a van and 22 in a bus

Step-by-step explanation:

lets use V as the number of students in each van and B as the number in each bus. hs A has filled 8 vans and 8 buses with 240 students in total so 8*V+8*B=240. We can divide by 8 and we will get that V+B=30 so B=30-V. hs B rented 4vans and 1 bus for 54 students so 4*V+1*B=54. we alredy know that B=30-V so we can substitute that in the 2nd equation so 4*V+30-V=54. simplify and we'll get that 3V=24, V=8 and B=30-V=30-8=22

Which expression can be used?

Answers

Answer:

b

Step-by-step explanation:

n+6

Step-by-step explanation:

it is because you're increasing the servings

A diver went 3 feet below the surface of the water and tagged a rock with a flag, and then went down an additional 2 feet to tag another rock.
Which number line is a correct representation of the distance between the two flags?
A.
B.
C.
D.

Answers

I think the correct answer is B

Answer:

its .   B

Step-by-step explanation:

becuse i took the test -x-

hoped it helped

What is the surface area of the square pyramid represented by the net below?
48 cm2
16 am
64 cm2
4 cm
96 cm2
112 cm2

Answers

Answer: 96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

need help asap please!!

Answers

Answer:

[tex]\displaystyle 23[/tex]

Step-by-step explanation:

[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]

I am joyous to assist you at any time.

*GET 30 POINTS IF YOU ANSWER* NEED ASAP! Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

Answers

Answer:

The equivalent equation would be 6-2+4x, which could be simplified down to 4+4x

Sophia´s expression is wrong because she did not distribute correctly.

Ursula´s expression is incorrect because she tried adding -4x with 2. This is incorrect because the 2 does not a variable or 2 does not have an x beside it, so you can not add them both together to try to get to the answer.

Step-by-step explanation:

6⁻(2-4x) Given

6(-2+4x) Distributive Property, this is when you multiply everything in the parenthesis that is outside which would be -1 multiplied by -2 and -1 multiplied by -4x.

If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B?

Answers

please include all the information :)

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

Simplify: 5!

A. 5

B. 20

C. 120

D. 240 ​

Answers

Answer:

it would be 5

Step-by-step explanation:

I don't have an explanation I just know it is 5

so I really need help. you have to set fractions equal to each other and try and find out how many prefer sweaters and whatnot. Also, the answer isn't supposed to be a fraction, it's supposed to be a whole number, you find the answer by using fractions with the information provided in the word problem above ^
I hope that makes sense. lol, thank you :)​

Answers

52/100 X 175



Solve it

Answer:

84

Step-by-step explanation:

52%of math problem are pointless

52%of math problem = pointless

52% of 175

(52/100)×175

91 =pointless

math problem - pointless =not pointless

175 - 91 = 84

A card is chosen at random from a standard deck of cards. What is the probability that the card chosen is a heart or spade? Are these events mutually exclusive?

Answers

Answer:

a. Probability is 50%

b. Picking either a heart or spade is mutually exclusive

Step-by-step explanation:

There are 52 cards in a deck of cards.

Of those 52, 13 are hearts and 13 are spades.

The probability of picking wither of them is therefore:

= (13 + 13) / 52

= 26/52

= 50%

Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.

The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their
sum?
2
135°
45°
6
20

Answers

The answer is 20

I hope it helps

The sum of magnitude of two vectors is 2√5.

What is Vector?

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

the magnitude of two vectors are 4 and 2.

and, The direction of two vectors are 45° and 135°.

According to vector addition,

The angle between both the vectors = 135 - 45 = 90

and, Sum of Vector

= √4² + 2²

= √16 + 4

= √20

Thus, the sum of magnitude of two vectors is 2√5.

Learn more about Vector here:

https://brainly.com/question/3184914

#SPJ5

Find the slope of the altitude on each side of triangle ABC (a) A(1,0), B(-3, 4),C(-1,-3)

Answers

Here how about this To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Simplify the following expression (2x^2y^5)^3

Answers

Answer:

The correct answer is,

[tex] {8x}^{6y {}^{5} } [/tex]

suppose that the functions s and t are defined for all real numbers x as follows.
s(x)= x+6
t(x)= 4x2
write the expressions for (s.t)(x) and (s-t)(x) and evaluate (s+t)(-3).

Answers

Answer:

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Step-by-step explanation:

Given functions are:

[tex]s(x)= x+6\\t(x)= 4x^2[/tex]

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

[tex](s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2[/tex]

Also we have to find

(s-t)(x) => we have to subtract function t from function s

[tex](s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2[/tex]

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

[tex](s+t)(x) = s(x)+t(x)\\= x+6+4x^2[/tex]

Putting x = -3

[tex]= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39[/tex]

Hence,

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Someone help me quick​

Answers

Answer: x > - 18

Step-by-step explanation:

x>-18




first multiply both sides

then multiply reduce

then arrange and thats the answer

hope this helps <3

Find the inequality by the graph

Answers

Answer:

y > 1/3 x -3

Step-by-step explanation:

slope = 1/3

y intercept = -3

equation: y > 1/3 x -3

What is 2/3-5/9 in 5th grade math

Answers

Answer:

0.111111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

=2×3/3×3-5×1/9×1

=6/9-5/9

=6-5/9

=1/9

Please mark me brainliest.Ok

-4 (4x + 12)= -2(8x+24)​

Answers

Answer
0=0
This means this is equal with all input numbers

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

Answers

Answer:

yes 1:2

Step-by-step explanation:

Set up the ratio

Cylinder(1) = 6.4:3.2

Cylinder(2) = 4:2

Is 6.4/3.2 = 4/2?

12.8 = 12.8!

So yes.

A​ dig-your-own potato farm charges​ $1.27 per pound of potatoes plus​ $0.20 per pound to clean the potatoes. Kevin digs 30 pounds of potatoes. The farm cleans 8 pounds for him. How much does Kevin pay in​ all?

Answers

Answer: $39.70

Explanation:

1.27 x 30 = 38.1

0.20 x 8 = 1.6

38.1 + 1.6 = 39.7

(BRAINLIEST) and more in the description.

Confession: I suck at math lol......

Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.

Answers

Answer:

16

Step-by-step explanation:

the answer is 16 Because 2 gallons is 16

Answer:

16 pts in 2 gallons

Step-by-step explanation:

There a 8 pints in 1 gallon, so in two gallons there would be 16 pts.

who ever helps gets brainliest.​

Answers

Answer:

B is the answer

Step-by-step explanation:

0.40 is the correct answer

Hey did I do this right?

Answers

Answer:Yes

Step-by-step explanation:

4x - 3y = 11
2x - 5y = 25

solve using elimination and substitution method​

Answers

Answer:

hope it helps forget about my writing

Answer:

(-1.43, -5.57)

Step-by-step explanation:

Elimination:

First we need to line up x or y to be the opposite so they can be eliminated:

4x - 3y = 11

-2( 2x - 5y = 25) which is

-4x + 10y = -50

Next step we cancel out the x but adding both equations which would isolate the y:

7y = -39

y = -5.57

After finding y, plug it back into the equation to find x:

4x - 3(-5.57) = 11

4x + 16.71 = 11

4x = -5.71

x = -1.43

To ensure it is correct, we can plug it back into both equations:

4(-1.43) - 3(-5.57) = 11

2(-1.43) - 5(-5.57) = 25

⚠️ANSWER NEEDED QUICK, SHOW WORK TOO⚠️

Answers

Answer:

28+28=56 so 28 and 28 and the bottom will be 56

Find the value of m divided 9 when m=72

Answers

Answer:

8

Step-by-step explanation:

72/9 = 8

like wise

8 times 9 is 72

39) Solve the inequality: 4(x+5)≤116
A. x≤−51
B. x≤−40
C. x≤24
D. x≥24

Answers

Answer:

x≤24

Step-by-step explanation:

4(x+5)≤116

x+5≤29

x≤29-5

x≤24

In the figure below, what are the lengths of “a”, “b”, and “c”? Round answers to nearest tenth.

Answers

Answer:

use a ruler to answer the question

write an equivalent expression for the following using distributive property A(9b+13)​

Answers

apply distributive property AKA (A • 9b)+(A • 13)

9Ab + 13A

I hope this helps :)

Other Questions
The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the image point of (-7,7) after a translation right 1 unit and down 3 units? How many atoms of beryllium are equal to 0.39 moles of beryllium? Which expression shows another way to write 36+16?419) + 44(9+4)6(6+8)(6+4)(6+4) Help me please........ The Gamez family goes out for dinner and the price of the meal is $63. The sales tax on themeal is 6.5% and they leave a 20% tip on the pre-tax amount. What is the total cost of the meal? A rock climber begins climbing at an altitude of 120 meters. She climbs at a rate of 50 meters per hour. Which equation can be used to find the altitude of the rock climber, y, after x hours? According to this dictionary entry, what is the origin of the word skeptic? ~And ~ again...~A circular garden has a radius of 8 feet. What is the circumference of the garden? What is the difference between Gauchos and American cowboys? Its algebra 6x -9=y show work Please helppp I need help ASAP... Which has a greater momentum and greater kinetic energy-a truck witha mass of 3530 kg moving at a speed of 21 m/s or a car with a mass of1620 kg moving at a speed of 54 m/s? Answers below are given in theform: greater momentum, greater kinetic energy. Which action is harmful to organisms living in water ecosystems 35 degrees divided by 20 PLS help methis is for class, if you get it right i will give brainliest Wait whats the equation for this? answer this. please. Which example best demonstrates the neoclassical style used in poetry during the age of reason?If ever two were one, then surely we.If ever man were loved by wife, then thee;If ever wife was happy in a man,Compare with me ye women if you can.Arise, my soul, on wings enraptur'd, riseTo praise the monarch of the earth and skies,Whose goodness and beneficence appearAs round its centre moves the rolling year,Or when the morning glows with rosy charms,Or the sun slumbers in the ocean's arms:Of light divine be a rich portion lentTo guide my soul, and favour my intent.We smile, but, O great Christ, our criesTo thee from tortured souls arise.We sing, but oh the clay is vileBeneath our feet, and long the mile;But let the world dream otherwise,We wear the mask!I caught a tremendous fishand held him beside the boathalf out of water, with my hookfast in a corner of his mouth.He didn't fight.He hadn't fought at all.He hung a grunting weight,battered and venerableand homely. Here and therehis brown skin hung in strips please help me solve 9x-27=