Ali and Bruno both run the 400 meter dash for their track team. Their coach frequently records their finishing times (in seconds), which are summarized in the table below.
Mean Standard deviation
Ali \mu_A=59μ
A

=59mu, start subscript, A, end subscript, equals, 59 \sigma_A=4.8σ
A

=4.8sigma, start subscript, A, end subscript, equals, 4, point, 8
Bruno \mu_B=50μ
B

=50mu, start subscript, B, end subscript, equals, 50 \sigma_B=3.6σ
B

=3.6sigma, start subscript, B, end subscript, equals, 3, point, 6
Both distributions are approximately normal. Suppose we choose a random 400 meter race and calculate the difference between their times. It's reasonable to assume that their times are independent.
Find the probability that the Ali's finishing time is faster than Bruno's.
You may round your answer to two decimal places.
P\left(\text{Ali faster}\right)\approx

Answers

Answer 1

Answer:

.07

Step-by-step explanation:


Related Questions

Find the solution of this system of equations
-3x + 2y = -17
-3x - 4y = -11
Enter the correct answer.
OOO
DONE
Clear all
?

Answers

Answer:

1) 3/2

2) -3/4

Hope this helps!

Anna and Jose bought a pizza and ate 5 of the 8 slices. Zach and Sarah came over and Anna split the remaining slices evenly between them. How would you determine the fraction of the original pizza that Zach and Sarah each ate?

Answers

Answer:

24/2 slices

= 12/1

Step-by-step explanation:

Total slices of pizza = 8

Anna and Jose ate = 5

Slices of pizza remaining = 3

Zach and Sarah came over and Anna split the remaining slices evenly between them

That's is, 3 slices of pizza divided by 2 people

= 3/2

= 1 1/2 slices each

Each of Zach and Sarah ate 3/2 slices of pizza

fraction of the original pizza that Zach and Sarah each ate

= 3/2 of 8

= 3/2 × 8

= 24/2

= 12/1

5-7(2-x)=31-4(2x-5) help pls

Answers

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5 - 7(2 - x) = 31 - 4(2x - 5)

Step 2: Solve for x

Distribute:                              5 - 14 + 7x = 31 - 8x + 20Subtract/Add:                        -9 + 7x = -8x + 51Add 8x on both sides:          -9 + 15x = 51Add 9 to both sides:             15x = 60Divide 15 on both sides:       x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5 - 7(2 - 4) = 31 - 4(2(4) - 5)(Parenthesis) Multiply:        5 - 7(2 - 4) = 31 - 4(8 - 5)(Parenthesis) Subtract:       5 - 7(-2) = 31 - 4(3)Multiply:                               5 + 14 = 31 - 12Add/Subtract:                      19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 4 is the solution to the equation.

The nucleus of an atom is composed of

Answers

Answer:

neutrons and protons

Step-by-step explanation:

Does anyone know the answer?

Answers

Answer:

We conclude that the area of the right triangle is:

[tex]A\:=p^2-2p-3[/tex]

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

Base = p+1Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            [tex]=\frac{1}{2}\left(p+1\right)\left(2p-6\right)[/tex]

Factor 2p-6: 2(p-3)

                                             [tex]=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}[/tex]  

Divide the number: 2/2 = 1

                                              [tex]=\left(p+1\right)\left(p-3\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

                                               [tex]=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)[/tex]

                                               [tex]=pp-3p+1\cdot \:p-1\cdot \:3[/tex]

                                                [tex]=p^2-2p-3[/tex]

Therefore, we conclude that the area of the right triangle is:

[tex]A\:=p^2-2p-3[/tex]

Hence, option A is correct.                                        

I need helppp!!!!!!!

Answers

i dont get that either lol pain. why does school have to be so hard

I believe the answer is 1.2 !!

x^2-4x+6=x+2 helpppp

Answers

Step-by-step explanation:

x² - 4x + 6 = x + 2

x² - 5x + 4 = 0

(x - 4)(x - 1) = 0

Therefore x = 4 or x = 1.

Answer:
x= 4, 1
hope this helps:)

Find the length of the missing side
A) 6 feet
B) 16 feet
C) 27.9 feet
D) 24 feet

Answers

Answer: D) 24 ft

Explanation:
Use the Pythagorean Theorem, a^2+b^2=c^2
So,
a^2+10^2=26^2
a^2=26^2-10^2
a^2=576
Rad a^2=rad 576
a=24 ft
Hope this helps

Pls help I’ll mark brainliest

Answers

Answer:

Linear measures (measures of length and width) are at a scale of 1:500; or

for every "real life" yard, the map would be "1/500" yard long.

Thus for measures of area, such as hectares, the map would would be 1/(500)² as big.

So: (3/5 = .6) hectares would be .6/(500)² hectares = .0000024 hectares.

And since 1 hectare = 15500031 in²;

the area on the map would be 15500031 (.0000024) in² ~ 37.2 in² ~ 240 cm²

Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
How much does Celeste get paid an hour?



help me pls

Answers

Answer:

$20 per hour

Step-by-step explanation:

1500 - 500 = 1000

1000 divided by 50 = 20

To check:

20 x 50 = 1000

if the m
180 degrees
90 degrees
74 degrees
37 degrees

Answers

Answer:

90 degress is a right angle

Step-by-step explanation:

so its m<90

A worker is stacking boxes.One stack has boxes that are 2 inches high. The other stack has boxes that are 5 inches high. At what height will the two stacks of boxes be equal in height?

Answers

Answer:

10 inches.

Step-by-step explanation:

One stack has boxes that are 2 inches high, then the height of this stack can be only multiples of 2 inches.

The other stack has boxes that are 5 inches high, then the height of this stack can be only multiples of 5 inches.

The height of both stacks will be the same for all the common multiples of 2 and 5.

Because 2 and 5 are prime numbers, all the common multiples between 2 and 5 will be direct products of these two numbers.

Like 2*5 = 10

is both a multiple of 2 and 5 (is the first common multiple)

Then we can use stacks of 10 inches.

Such that, for the stack where each box is 2 inches high, we need:

10in/2in = 5

5 boxes.

And for the stack where each box is 5 inches high, we will need:

10in/5in = 2

2 boxes.


PLEASE HELP ILL MARK BRAINLIEST IF RIGHT THANKS!!
A teacher presented students with four tables.

Table 1
A 2-column table with 3 rows titled Table 1. Column 1 is labeled x with entries 2, 6, 8. Column 2 is labeled y with entries 1, negative 1, negative 2.
Table 2
A 2-column table with 3 rows titled Table 2. Column 1 is labeled x with entries 0, 2, 6. Column 2 is labeled y with entries 8, 4, negative 4.
Table 3
A 2-column table with 3 rows titled Table 3. Column 1 is labeled x with entries negative 4, negative 2, 2. Column 2 is labeled y with entries 4, 5, 7.
Table 4
A 2-column table with 3 rows titled Table 4. Column 1 is labeled x with entries negative 2, 0, 4. Column 2 is labeled y with entries 0, 4, 12.

Which table describes a linear function that has a slope of 2?

Answers

I’m sure it’s Table 4

Answer:

Tabel 4 :)

Step-by-step explanation:

Solve this system
2x-4y=14
3y+5x=9

Answers

Answer:

x=3, y=-2

Step-by-step explanation:

If 2x-4y=14, then we know that 2x=14+4y.  This means that x=7+2y.  If we substitute this into the next equation we get: 3y+(35+10y)=9.  This means that we have 35+13y=9.  If we subtract 35 from both sides we get 13y=-26.  This means y=-2. If you subsitute this in the first equation, we have 2x--8=14.  -- means + so you do 2x+8=14.  This means that x=3.

btw this is my first answer so sorry if its bad.

Which best describes this fraction when converted to a decimal: 1/3

Answers

Answer:

1/3 to decimal is 0.333333 repeating decimal

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{In order to CONVERT FRACTION to a DECIMAL, you have}\\\large\text{to divide the numerator (the top number) from the denominator}\\\large\text{(the bottom number).}[/tex]

[tex]\bold{\dfrac{1}{3}= 1\div3\rightarrow 0.33333333333}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: 0.33333333333}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?

Answers

Step-by-step explanation:

so the shape gonna be soo long that I wasted yo ur time

Answer: 5
Hope this helps

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?

Answers

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

[tex]H=-4.9t^2+5t+2[/tex]

The ball will hit the ground when h=0

[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]


The shape below is formed from a rectangle measuring 18 cm by 24 cm
from which a rectangle of length 8.6 cm has been removed.
Work out the perimeter

Answers

Answer: The shape below is formed from a rectangle measuring 18 cm by 24cm from which a rectangle of length 8.6cm has been removed

Step-by-step explanation:

initial Perimeter of rectangle =  2 (24 + 18)  = 84 cm

After removing rectangle of  length 8.6 cm

two sides of 8.6 cm are added in perimeter

Perimeter of Shape

= 2 (24 + 18)  + 8.6 + 8.6

= 84 + 17.2

= 101.2  cm

perimeter of the shape = 101.2  cm

what's the answer to 2/5x + 10 = 30

Answers

Answer:

your answer would be 50

Step-by-step explanation:

answer is X equals 50

what is the dividend yield on Stock A that sells 15$/share, when company A pays a quarterly dividend of $0.15 per share

Answers

Answer: The dividend yield on Stock A = 0.04

Step-by-step explanation:

Given: quarterly dividend = $0.15 per share

Annual dividend per share = 4 x 0.15 = $0.6  [1 year = 4 quarters]

Stock's price per share = $0.15

The computation of dividend is given by :-

Dividend yield = (annual dividend per share) divided by (the stock's price per share).

Here, Dividend yield = (0.6) ÷ 15 =  0.04

Hence, the dividend yield on Stock A = 0.04

What is 5/3 as a percent

Answers

Answer:

%167

Step-by-step explanation:

5 divided by 3 is 1.67 so times that by 100 and you get %167

Answer:

166.666666666667%

Step-by-step explanation:

Convert fraction (ratio) 5 / 3 Answer: 166.666666666667%

which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function ? -5,7,-3,15,-1,23, ?, ?

Answers

(1,31)
Subtract 2 from x, add 8 to y

If I remember correctly, the answer is (1, 31).

Hope this helps! :3

need this today, thanks!

Answers

Answer:

Step-by-step explanation:

just click on the photo down bellow

right here

Solve the system:
2x + 3y = 14
2x - 3y = -10

I need help

Answers

Answer:

x=1, y=4

Step-by-step explanation:

Graph the function f(x) = 4x - 5.

Answers

Answer:

On (1.25,0) and (0,-5)

Step-by-step explanation:

How do I solve for X

Answers

I don’t know I just look it up online or ask a friend good luck G

Jerry was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of money.


The equation that models this situation is y = 50x + 75, where y is the amount of money in the account and x is the number of deposits.


What does the y-intercept mean in this situation?


A. He was given $50 for his birthday.

B. He puts $75 in the account each month.

C. He puts $50 in the account each month.

D. He was given $75 for his birthday.

Answers

The y -intercept in this situation mean that Jerry was given $75 for his birthday

The equation below is a linear equation.

y = 50x + 75

A linear equation is an equation that has a single variable raised to the power of 1. 50x is raised to the power of 1

75 represents the constant. This is the money he deposited in the account. 75 is the y-intercept. The y-intercept is the value of the line y when it crosses the y-axis

50x is the slope of the line. - 50 is the amount he puts in every month and x represents month.

The slope of a line also known as the gradient of the line determines the steepness and direction of a line. If the slope coefficient is less than zero, the slope is negative and it would decline from left to right

y is the dependent variable. It is the total amount he would have at the end of each month.  y depends on the constant term (75), the number of months(x) and the amount he deposits every month (50)

at the end of :

one month, he would have : 50(1) + 75 = 125

two months, he would have : 50(2) + 75 = 175

You can learn more about y-intercepts here : https://brainly.com/question/12791065?referrer=searchResults

Answer:d

Step-by-step explanation:

4. Find the value of (a + b)) and (a - b), if a = 5 and b = 7.​

Answers

Answer:

if a=5 and b=7 so (a+b)=(5+7)=12

(a-b)=5-7= -2

Answer:

(a+b) =12

(a-b) =. - 2

Step-by-step explanation:

You will put the numbers given as a=5 and b=6

In to the value of (a+b) and (a-b)

So it will be

*(a+b) =(5+7)

=(12)

*(a-b) =(5-7)

=(-2)

please help me, marking brainliest if correctly

Answers

Answer:

x = -11

Step-by-step explanation:

The measure at angle 2 should equal 80 degrees.

You are given that it is equal to x+91. So,

x+91 = 80

x = -11

math pls help


dhdhdbdb​

Answers

I am not Johnny, so don’t try and test me
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