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

Which equation is equivalent to 10=3/2(2x+4)?

a.10=3x+2
b.10=3x+4
c.10=3x+6
d.10=3x+12

Answers

Answer

the answer should be C. 10=3x+6

Given that the following is a Rhombus, find the missing sides.

Answers

Answer:

AE = 6

AC = 12

BD = 16

AB = 10

Step-by-step explanation:

In a rhombus, which is equilateral, the diagonals bisect each other so,

AE = EC so 6

AC = AE + EC, which is 6+6

BD = ED + EB or 8+8

AB = BC so 10

f(x) is a function.
0
3
с а м а
7
12
f(x)Help

Answers

Answer:

It's a function

Step-by-step explanation:

Because non of the inputs have the same output


Tom walks 1/3
of a mile in 1/4 of an hour. At this rate, how many miles will Tom Walk
in 1 hour?
-
B
IN

Answers

Answer:

4/3 miles

Step-by-step explanation:

1/3 miles

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

1/4 hour

1/3 ÷ 1/4

Copy dot flip

1/3 * 4/1

4/3 miles per hour

In 1 hour

4/3 miles

Answer:

1 1/3 miles in 1 hour

Step-by-step explanation:

since there are 4 quarters in 1, you must multiply 1/3 by 4.

1/3 x 4 = 1 1/3

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Answers

Is this Morse code ......

Answer:

nice picture bro

Step-by-step explanation:

Explain how to find the greatest number of identical
arrangements that can be made with 54 roses and 42
tulips with no flowers left over.
(I will mark brilliant the correct answer)

Answers

Answer:

There are 6 identical arrangements

Step-by-step explanation:

The correct answer is found by getting the GCF of both numbers.

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

The greater factor that is common between these is 6, which is the answer.

There are 6 identical arrangements.

Which line has a slope equal to 1?

Answers

The slope of a tangent line.
Hope I helped

Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

Help please!

Urgent Question!!!​

Answers

Step-by-step explanation:

Coordinates of Point R = (0, y).

We have PR = QR.

=> (-2 - 0)² + (6 - y)² = (9 - 0)² + (3 - y)².

=> 4 + (6 - y)² = 81 + (3 - y)²

=> y² - 12y + 40 = y² - 6y + 90

=> 6y + 50 = 0

=> y = -25/3.

Hence the answer is (0, -25/3).

Coordinates of Point S = (x, 0).

We have PS = QS.

=> (-2 - x)² + (6 - 0)² = (9 - x)² + (3 - 0)²

=> (-2 - x)² + 36 = (9 - x)² + 9

=> x² + 4x + 40 = x² - 18x + 90

=> 22x = 50

=> x = 25/11.

Hence the answer is (25/11, 0).

here,

coordinates of P(-2,3)

coordinates of Q(9,3)

coordinates of R(0,0)

now,

PR=QR

or, 0-(-2)+0-3=(0-9)+(0-3)

or, 2-3= -9-3

or, -1 = -12

Can someone please explain how to do number 9.

Answers

Answer:

x<15, probably

Step-by-step explanation:

maybe multiply 2 to each side to eliminate the fraction. so 3x+15<60. subtract 15 to isolate the variable term so 3x<45. divide by 3 to isolate x so x<15. check the work. is the inequality true for all values of x less than 15? let's try the first possible integer value, 14, to be sure. 3(14)+15= 57. so 57/2<30. now 57/2 is 28.5 and 28.5<30 so it seems right

Question:
A store had 600 pounds of feed. After delivering equal amounts to 4 farmers, there are 60 pounds left. How many pounds did each farmer receive?

Answers

Answer:

135

Step-by-step explanation:

I am not sure if you have to use the substitution method but I just did (600 - 60) then divided by 4  

(600 - 60) Divided by 4
(594) Divided by 4
585 Pounds

5/6 divided by 1/2 simplest from

Answers

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

On the spinner below, what is the probability of spinning a 2 or a 3?

Answers

Answer:

2by1 or

3 by 1

depends on your questions

Step-by-step explanation:

hope it help you

Graph the line

Through (6, 0), m= -1/2

Answers

Answer:

The equation of the line would be y = -1/2x + 3. You can use this to make a graph that looks like this:

let f(x) = x^3+3x^2-x-3. Find the polynomial function each of whose roots are two less than the roots of f(x)​

Answers

Step-by-step explanation:

f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)

= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).

The roots of f(x) are x = -3, -1 and 1.

=> The new roots are x = -5, -3 and -1.

=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.

Here are two circles. Their centers are A and F. What is the same about the two circles?

Answers

Both  the circle A and F have same radius and diameter.

What is Radius of circle?

Any circular object's radius is the measurement from the centre to its outermost border or boundary. A radius is a dimension that applies to spheres, semispheres, cones with circular bases, and cylinders with circular bases in addition to circles.

It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the centre of the circle.

Given:

We have Two circles named A and F.

Now, the radius of circle A is 4cm

So, the diameter of Circle A is 4 x2 = 8 cm

Now, the Diameter of Circle F is 8 cm

Hence, both the circle A and F have same radius and diameter.

Learn more about radius of circle here:

https://brainly.com/question/11137975

#SPJ2

(13x+2)+(3x-4)+(5x-7)​

Answers

I’m not 100% sure but I think the answer to this would be 21x - 9.

Answer:

13x+2+3x-4+5x-7=180

Step-by-step explanation:

Help asappppp ? Writing linear Equations?

Answers

Answer:

C=0.75m+3

Step-by-step explanation:

3=flat fee

0.75 per mile

m=mile

c=cost

on a coordinate plane, three of the four verticles are located at the points (0,0), (5,5) and (6,2). what is the area, in square units, of the rectangle?
A.20
B.
[tex]10 \sqrt{5} [/tex]

C.32
D.
[tex]20 \sqrt{5} [/tex]

Answers

Answer: o believe the answer is D hope it helps

Step-by-step explanation:

Graph the line through(-5,-10), m=3

Answers

Answer:

below

Step-by-step explanation:

first put it in point-slope then slope intercept:

y+10=3(x+5)

y+10=3x+15

y=3x+5

now graph it

I WILL GIVE BRAINLIEST AND 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Calculate the rate of change for the following data:
x y
-1 7
2 -2
7 -17
10 -26



HELP!!!!

Answers

Answer:

we get Rate of change = -3

Step-by-step explanation:

We need to calculate the rate of change for the following data:

x     y

-1     7

2     -2

7     -17

10   -26

The rate of change can be calculated using slope formula: [tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table, we can take any 2 points

Suppose we take (-1,7) and (2,-2)

We have: [tex]x_1=-1, y_1=7,x_2=2, y_2=-2[/tex]

Putting values in formula and finding rate of change

[tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:change=\frac{-2-7}{2-(-1)}\\Rate\:of\:change=\frac{-9}{2+1}\\Rate\:of\:change=\frac{-9}{3}\\Rate\:of\:change=-3[/tex]

So, we get Rate of change = -3

MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST

Answers

Answer:

79.4

Step-by-step explanation:

(85+90+68+75+79) / 5 =79.4

In the right angle shown, what is the value of PQ

Answers

Answer:

8

Square 17 then Square 15

Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,600 calories and a standard deviation of 100
calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?
O 1,400-1,800
O 1,500-1,700
O 1,300-1,900
O 0-3,200



20 POINTS

plz help

Thank you

Answers

Answer:

The solution is 1,300-1,900

Step-by-step explanation:

Simply put:

The standard deviation is 100. Because the range is 3 standard deviations, you add and subtract 300 from 1,600 instead of the normal 100.

So,

1,600 - 300 = 1,300

1,600 + 300 = 1,900

So, your answer is the third option: Between 1,300 and 1,900

The correct answer is 1,300 - 1,900.

Gregs cocker spaniel weighs 32 pounds. His kitten weighs 15 ounces.

Answers

i'm confused is there supposed to be a question

Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.

Answers

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]

Gabriel saves 40% of his monthly paycheck for college. He earned $270 last month. How much money did Gabriel save for college?


A $108
B $96
C $162
D $180
ASAP PLEASEEE

Answers

Answer:

A $108

Step-by-step explanation:

40% = .4

.4 * 270 = 108

I messed up somewhere I think ugh

Answers

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Answer:

Step-by-step explanation:

n≤-2

n≥-4

or -4≤n

combining

-4≤n≤-2

The Cougar Shipping Company found that 3 out of 25 boxes
were damaged. What percent of the boxes were damaged?
a.
3%
b.
18%
C.
20%
d.
75%

Please hurry

Answers

Answer:

i think it is 20

Step-by-step explanation:

i hope it help

Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles

Answers

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangle

What are the steps to draw?

Steps to draw the Pentagon & Triangle are as follow:

First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left corner

So two triangle and one pentagon is produced

Learn more about Pentagon & Triangle here:

https://brainly.com/question/19596085

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Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?

Answers

Answer: 5 weeks

Step-by-step explanation: Please give me brainliest

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