Roman runs 3 miles every morning. His mean time is 24.7 minutes and his standard deviation is 3.2 minutes. Which of the times is the least likely for Ramon to get?

Answers

Answer 1

Answer:

His time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.

Step-by-step explanation:

With an standard deviation of 3.2 minutes, it is clear that the maximum time taken by Roman to complete his run of 3 miles would be

Average time + standard deviation = 24.7 minutes + 3.2 minutes = 27.9 minutes

The minimum time taken by Roman to complete his run of 3 miles would be

Average time - standard deviation = 24.7 minutes  - 3.2 minutes = 21.5 minutes

Hence, his time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.


Related Questions

Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?

Answers

Answer:

40 gallons of gas

Step-by-step explanation:

Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"​

Answers

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2

Which transformation is a translation?

Answers

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

PLEASE HELP!!


Find the area of the following triangle enter the exact answer as a decimal

Answers

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

What is the solution to the system of equations

Answers

Answer:

x=4 and y=−2

Step-by-step explanation:

Let's solve your system by substitution.

3x+8y=−4;2x−4y=16

Step: Solve 3x+8y=−4 for x:

3x+8y=−4

3x+8y+−8y=−4+−8y(Add -8y to both sides)

3x=−8y−4

3x/3=−8y−4/3 (Divide both sides by 3)

x=−8/3y+−4/3

Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:

2x−4y=16

2(−8/3y+−4/3)−4y=16

−28/3y+−8/3=16 (Simplify both sides of the equation)

−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)

−28/3y=56/3

−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)

y=−2

Step: Substitute−2 for y in x=−8/3y+−4/3:

x=−8/3y+−4/3

x=−8/3(−2)+−4/3

x=4 (Simplify both sides of the equation)

So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4

please answer quickly easy 15 points but please answer quick

Answers

Answer:

24.25 feet

Step-by-step explanation:

Only answer if you’re sure of it. FAST!!

A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.

Answers

There are only 4 Kings in a standard deck of 52 poker cards, being the King of Spades, Clubs, Diamonds and Hearts. So the probability of drawing a king from the cards is 4/52 = 1/13.and it is the same for the ace so together they’d be 8/52 or 2/13.....hope that helps

ANSWERRRR QUICKKKK PLEASEEEE

Answers

Answer: sqrt(2)/2  which is choice D

======================================================

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

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

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

Imperial measurement systems please show all work in a neat manner thank you !

Answers

Answer:

1. Ethan

2. 2.5 tons

3. 72 in

4. 5.7 mi

Step-by-step explanation:

1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.

2. Divide pounds by 2000 to get tons

3. Multiply by 12

4. Divide by 5280 to turn feet into miles

ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]

Answers

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Find the measure of DF

Answers

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2  arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

Find the area of the shaded region for the given figure in terms of x.
X-1
X + 2
X-1
X + 2

Answers

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +

Answers

Answer:

C(m) = 2.50 + 2m

Step-by-step explanation:

The fixed charge = charge per entry = $2.50

Charge per mile = $2

Function which represents the cost of a ride of m miles ;

Cost for m miles, C(m)

C(m) = charge per entry + cost per mile * number of miles

Where, number of miles = m

C(m) = 2.50 + 2m

Answer:

C(m) =2  m + 2.5

Step-by-step explanation:

I DID IN ED

Please Help!!

In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26

Answers

Answer:

The answer is D

Step-by-step explanation:

This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.493
$2.505
$2.509
$2.498

Answers

Answer:

$2.498

Step-by-step explanation:

What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..

Answers

Answer:

ratio is 1/2

Step-by-step explanation:

r=8/16 =1/2

Answer:

1/2

Step-by-step explanation:

16 * 1/2 = 8

8 * 1/2 = 4

4 * 1/2 = 2

Hope this helps!

help me pls and solve for x

Answers

Answer:

See below.

Step-by-step explanation:

sin(71) = x/23

x = sin(71) * 23

x = 21.75

Answer:

21.75 (2 digit after decimal)

Step-by-step explanation:

Sin theta = perpendicular/hypotenuse

sin 71=x/23

23 sin 71=x

x=21.747

pls help
Factor out the GCF
16x - 48

Answers

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Solve for x.
Please help

Answers

Answer:

x =6

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

7x = x+36

Subtract x from each side

7x -x = x+36-x

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

Please help me this should be easy for y'all thanks

Answers

Answer:

20

Step-by-step explanation:

the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get

Answers

x^2-8x+12, hope this helps

Can someone help me answer these practice questions

Answers

Answer:

A. 3x +3

B. 10x + 4

C. 30x - 50

D. -12x - 21

Step-by-step explanation:

A. 3(x + 1)

1. Multiply 3 times x = 3x

2. Multiply 3 times 1 = 3

3. Put them together 3x + 3

4. Repeat process for other problems.

Let me know if you have any other questions :)

Un vendedor de frutas tiene cierto número de mangos, vende 3/5 de ellos más dos mangos; luego vende 1/3 de los restantes más dos mangos, luego vende la mitad del saldo más un mango. Finalmente vende los 24 restantes, el número de mangos inicial empieza con la cifra

Answers

Respuesta:

200 mangos

Explicación paso a paso:

Dado :

Sea el número inicial de mangos = x

Primera venta:

3 / 5x + 2

Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2

Segunda venta:

1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2

Cantidad restante:

2 / 5x - 2 - (2 / 15x - 2/3 +2)

2 / 5x - 2 - 2 / 15x + 2/3 - 2

0,2666666x - 3,3333

Tercera venta:

1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1

0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final

0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24

0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24

0,133333x - 2,666635 = 24

0.133333x = 24 + 2.666635

0,133333x = 26,666635

x = 26,666635 / 0,133333

x = 200.00026

x = 200 mangos

Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide  the line segment PQ in the ratio​

Answers

Answer:

PQ' : Q'Q = 3 : 1

Step-by-step explanation:

As Given In Question

We Have A Triangle With Side PQ=8cm

PQ' = 3/4 * PQ

PQ' = 3/4 * 8

PQ' = 6 cm

& Q'Q = PQ - PQ'  

            = 8 - 6 = 2cm

so the line segment PQ is divided into PQ' : Q'Q = 3 : 1

What is the value of 9/10 divided by 1/5?

Answers

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

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

BOTH NUMBERS HAVE the  GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

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

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

which of the following number are prime numbers 1,7,36,16,2,51,25​

Answers

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

ahh could i get sum help?

Answers

Answer:

8/35 cubic inches

Step-by-step explanation:

Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.

What is the square feet

A.60 square feet

B.54 square feet

C.42 square feet

D.104 square feet

Answers

The answer is B
Hope that helps

ILL GIVE BRAINLIEST!!
If P = (-1, 7), Find:
r180° (P)

Answers

7 x 180 = 1260

1260/2 = 630 is the answer

Answer:

630

Step-by-step explanation:

find the centre and radius for this circle , x^2+y^2=25

Answers

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

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