Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?​

Answer: The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

Answer:

47.3

Step-by-step explanation:

as shown above ,this question can be solved using trigonometry and hence we get the perimeter to be 47.3

Answer:

2.6458

Step-by-step explanation:

A root of 7 is definitely between the numbers 2 and 3.  When you put this number on a calculator the number should be 2.6458 when rounded.

Answer:

the answer is 2.64575

Step-by-step explanation:

because √2 = 1.414, √3= 1.732, √4 = 2, √5 = 2.236, √6 = 2.449, and √7 = 2.64575 or 2.646

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

Answer:

a=9

b=11

Step-by-step explanation:

opposite sides of a parallelogram are congruent(aka equal)

so, a=9

b=11

Answer:

A is 9 units and B is 11 units.

Step-by-step explanation:

In a parallelogram, there are 2 parallel line. And they are congruent. So whatever their parallel line is equal to, it is the measure of that variable.

The correct translation will be;

⇒  left 8 units

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The function is,

⇒ f (x) = x²

And, The graph after translation is,

⇒ g (x) = (x + 8)²

Now,

Since, The graph after translation is,

⇒ g (x) = (x + 8)²

And, The function is,

⇒ f (x) = x²

So, We can say that the translation used is,

⇒ left 8 units.

Thus, The correct translation is;

⇒  left 8 units

Learn more about the translation visit:

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Answer:

450 miles

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

45 miles for 1 gallon

Every gallon is 45 miles

This is the equation: 45 x G (gallon)

45 x 10 Gallons is 450

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Cylinder

Step-by-step explanation:

...

Answer:

step 4 is correct because h-¹(x)=2x+5

Answer:

A 1/4

Step-by-step explanation:

Answer:

A. There is a 1/4 chance.

Step-by-step explanation:

There are 8 outcomes if a coin is flipped 3 times.

Of these, 4 start with tails.

Since 4 is the denominator here, C (3/8) is out.

Also 4 doesn't have 3 as a factor, so B (1/3) is also out.

After the tails flip, two heads follow.

That's one of four of the combinations starting with tails (THH, THT, TTH, TTT, so D is out, leaving A as our answer! (We would need two for A to work)

Answer:239 daya

Step-by-step explanation:

Answer:

y = - 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 3y = 3 ( subtract x from both sides )

- 3y = - x + 3 ( divide all terms by - 3 )

y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (5, - 9) into the partial equation

- 9 = - 15 + c ⇒ c = - 9 + 15 = 6

y = - 3x + 6 ← equation of perpendicular line

Answer:

Step-by-step explanation:

16

Answer:

Step-by-step explanation:

When you divide one number by another, the result is called the quotient.

So, We need more then one number fraction.

I hope this kinda helped.  

Answer:

Step-by-step explanation:

Sorry I have no idea i just need points

Answer:

Step-by-step explanation:

Factor out to simplify:

15d+105=4d-16+11d

15d+105=15d-16

subtract 15d from both sides

105=-16

this means that there are no solutions for d

Answer:

Step-by-step explanation:

The base is 9

The exponent is 4

The expanded form is 9x9x9x9

The value of 9 to the fourth is 6,561

Answer:

The base is  ✔ 9

The exponent is  ✔ 4

Its expanded form is  ✔ 9 x 9 x 9 x 9

The value of 94 is  ✔ 6,561  

Step-by-step explanation: Got it right on Edge.

Answer:

Now to secrtly stalk this man

Step-by-step explanation:

They have used after 5 days, 1 full box and 1/4 of another box.

Fractions are used to represent smaller pieces of a whole.

Given that, Each day, a company used 2 / 8 of a box of paper.

They are using 1/4 box of paper each day,

So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4

Hence, They have used after 5 days, 1 full box and 1/4 of another box.

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Answer:

I like your new haircut, dad.

Step-by-step explanation:

I'm pretty sure

Answer:

n - 8 ≥ 10

Step-by-step explanation:

8 less than a number would be n - 8. At least means greater than or equal to so the answer is n - 8 ≥ 10.

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

Answer:

A is the answer! (hope I wasn't too late)

Answer:

85°

Step-by-step explanation:

So in geometry, the formula to find the sum of all interior angles is denoted as follows:

n = number of sides in the polygon

( n - 2 ) × 180° = sum of the interior angles

Using that formula, a triangle has 3 sides, so

n = 3 , therefore:

= ( 3 - 2 ) × 180°

= 1 × 180°

= 180°

Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:

34° + 61° + x = 180°

Solve for x.

Answer:

26 /33

Step-by-step explanation:

Given that :

Number of days taken filming first movie = 45 1/2

Number of weeks spent filming second movie = 8 1/4

Concerning days to weeks ;

45 1/2 days = 91/2 days = 91/2 ÷ 7 ;

91 / 2* 1/7 = 91/14 = 6. 5 weeks

Hence,

Ratio of first week fuming to second week filming ;

6.5 weeks : 8 1/4 weeks

6 1/2 : 8 1/4

13 / 2 : 33 /4

13 / 2 * 4 /33

52 / 66

26 / 33

Answer:

conduction

Step-by-step explanation:

Radiation transfers heat to the pavement through empty space. Because the pavement is black, it absorbs more heat. ... Because the pavement is darker so it absorbs more heat.

Answer:

Step-by-step explanation:

the expression is equivalent with

5(3n-2)=15n-10

Answer:

huh? im confused on the question

Step-by-step explanation:

!!

Answer: 3.76

Step-by-step explanation:

trust

Answer:

84.9

Step-by-step explanation:

SA: 4×pi×r^2

the radius is the line (2.6cm)

9514 1404 393

Answer:

  D)  4.8 MB per minute

Step-by-step explanation:

In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...

  (72 MB)/(15 min) = 4.8 MB/min