Solve for x in the triangle. Round your answer to the nearest tenth.

Answer:

2.04

...

...

....

.

.................

Using the uniform distribution, it is found that:

a) There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.

b) Within 9 minutes.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Researching the problem on the internet, it is found that the variable is uniform with a = 0 and b = 30.

Item a:

[tex]P(10 \leq X \leq 20) = \frac{20 - 10}{30 - 0} = 0.3333[/tex]

There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.

Item b:

This is x for which P(X < x) = 0.3, hence:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

[tex]0.3 = \frac{x}{30}[/tex]

[tex]x = 9[/tex]

Within 9 minutes.

To learn more about the uniform distribution, you can check https://brainly.com/question/13889040

Answer:

ok

Step-by-step explanation:

Hey there!

Remember, 3 less than a number means we subtract 3 from that number.

It's the same as "a number minus 3"

Now, let's check all 4 options and see which one's right.

The first one is

n+3

Well, that's definitely not the right option, because it says "a number plus 3"

Is it Option B? Yeah!

Because n-3 is the same thing as "a number minus 3"

Is it Option C? Nope!

Because 3-n is the opposite of "a number minus 3"

Is it Option D? no.

Because 3n means "3 times a number"

Hence, the right expression is

[tex]\boxed{\boxed{\bold{n-3}}}[/tex]

Hope everything is clear.

Let me know if you have any questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

Answer:

Josephine needs to include the height as part of the volume calculation.

Step-by-step explanation:

See attached image.

The way to identify these tables is through the way that the value of y increases.

A linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.

This is the table that the value increases with a common ratio. The y value doubles in this case.

This is a table that has a constant second difference.

Read more on Quadratic and linear functions here:

https://brainly.com/question/25841119

Answer:

h^-1(x)=(x-1)/2

Step-by-step explanation:

We can rewrite the function as y=2x+1, switch the y and x, x=2y+1, and simplify to y=(x-1)/2.

Answer:

kindly house you have a good day and I will be there

Answer:

you  can get one hotel

Step-by-step explanation:

The next four consecutive even numbers would be A+8, B+8, C+8, & D+8. Consequently their sum would be 180+4*8 = 212.

Answer:

Quadrant I, see both images below...

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

This is because if each DVD costs $9 and the total cost was $450 then all you have to do is divide the numbers.

Answer:

25%

Step-by-step explanation:

used SUV = $24000

new SUV = $32000

find the differences between the new SUV and the used SUV.

$32000 - $24000 = $8000

take the difference price and divide by original price ( $32000 ), multiply with 100

8000/32000 x 100

=25%

Answer:

15

Step-by-step explanation:

We can start by trying to figure out the divisors for each number. A divisor is a whole number that we can multiply by another whole number to equal our target number.

For example, 2's divisors would be 2 and 1, because we can multiply 2 and 1 together to get 2.

30's divisors would be: 1, 30, 2, 15, 3, 10 4, 5, 6

45's divisors would be: 1, 45, 3, 15, 5, 9

75's divisors would be: 1, 75, 3, 25, 5, 15

We should start with 30's divisors because we're searching for a greatest common divisor, so we have to make sure that divisor still fits into the smallest number. Additionally, we should go from biggest to smallest because by eliminating the highest possibilities first, we can ensure that our answer will be the biggest possible one without having to check every single one.

30's biggest divisor is 30, but neither 45 nor 75 have it. 30's next biggest divisor is 15, and that is a common divisor between 45 and 75. Since we worked from the biggest to the smallest, we also know that it is the highest possible common divisor.

That means the G.C.D. of 30, 45, and 75 is 15.

Answer:

21/2  : 12  : 27/2

Step-by-step explanation:

7:8:9=__:12:__

12/8 = 3/2

Multiply each term by 3/2

7*3/2  :8* 3/2  :9*3/2

21/2  : 12  : 27/2

Answer: She took 6 yoga classes

Step-by-step explanation: So first

Subtract

$43.50 - $19.50 = $24

Carry then Divide

$24 / 8 = 6 Classes

PLEASE MARK ME BRAINLIEST!!!

Answer:

900 g

Step-by-step explanation:

let e be extension and w be weight

given e varies directly as w then the equation relating them is

e = kw ← k is the constant of variation

to find k use the condition w = 150 , e = 2.9 , then

2.9 = 150k ( divide both sides by 150 )

[tex]\frac{2.9}{150}[/tex] = k , that is

k = [tex]\frac{29}{1500}[/tex]

e = [tex]\frac{29}{1500}[/tex] w ← equation of variation

when e = 17.4 , then

17.4 = [tex]\frac{29}{1500}[/tex] w ( multiply both sides by 1500 )

26100 = 29w ( divide both sides by 29 )

900 = w

Answer:

795 * 13 + 6754 / 7 = 2,327.71

Step-by-step explanation:

795 * 13 + 6754 / 7 = 2,327.71

Step-by-step explanation:

y = mx + c

(3) = (5/2) (8) + c

c = - 17

y = 5/2 x - 17

Answer:

Ok.

Your answer is -1/8

Have a nice day!

Step-by-step explanation:

I believe the answer is - 1/8

Answer:

2/100

Step-by-step explanation:

to find a percentage you times by a hundred

Answer:

12, 14

Step-by-step explanation:

Let's call the smallest number n.

Let n + 2 = the larger even integer.

Let's write our equation:

"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as [tex]\frac{1}{2}[/tex](n + 2).

n = 5 + [tex]\frac{1}{2}[/tex](n + 2)

Solvew for n.

n = 5 + [tex]\frac{1}{2}[/tex](n + 2)

Let's multiply each side by 2, to get rid of the fraction, [tex]\frac{1}{2}[/tex].

2 (n) = 2(5 + [tex]\frac{1}{2}[/tex](n + 2))

2n = 2* 5 + 2*([tex]\frac{1}{2}[/tex](n + 2))

2n = 10 + (n + 2)

2n = 10 + n + 2

2n = 10 + 2 + n

2n = 12 + n     Subtract n from each side.

2n - n = 12 + n - n

2n - n = 12

n = 12

Let's solve for our other integer:

n + 2 = 12 + 2 = 14

So our 2 consecutive, even integers are

12 and 14

Answer:

Step-by-step explanation:

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:a=1

Step-by-step explanation:

Answer:

24 m/s²

Step-by-step explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

a = (25 m/s − 1 m/s) / 1 s

a = 24 m/s²

Answer:

  y = -1/2x +5/2

Step-by-step explanation:

The equation of the desired line can be determined by first finding the slope of the line between the two reference points. Then the point-slope equation of the desired line can be written, and that can be rearranged to slope-intercept form.

__

The slope of the line between two points is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (18 -12)/(5 -2) = 6/3 = 2

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = -1/2

__

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The line we want can be described by the equation ...

  y -1 = -1/2(x -3) . . . . . line with slope -1/2 through point (3, 1)

__

Rearranging to slope-intercept form, we find ...

  y = -1/2x +3/2 +1

  y = -1/2x +5/2

_____

Additional comment

The geometry program used to draw the figure in the attachment shows the line's equation in standard form to be ...

  x +2y = 5

Solving for y gives the slope-intercept equation:

  2y = -x +5 . . . . . . . . subtract x

  y = -1/2x +5/2 . . . . . divide by 2

Answer:

Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6

Step-by-step explanation:

It says, " After 3 hours, she had completed half of the work" it means it would take all together Jen 6 hours to do the entire job.

It says, " together they finished everything in half an hour", so that means Jen does an a little bit more work, [1/2 / 6] or 1/12 for the entire job , and Maryna does 5/12 of the whole job in 1/2 hr.

Then, the equation would have been (5/12) / (1/2) = (6/12) / t, and the time for  Maryna to finish on her own  portion she would be doing 6/12 (half) of the whole job.

So therefore Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6 :)

Hope this helped : )

5 pages X 60 minutes = 300 pages per hour

It will take 1 hour to print 300 pages on a printer that prints at 5 pages per minute. Do you have enough ink to print 300 pages?

Step-by-step explanation:

here u gggggggggggggggoooo

Answer:

x = 4, y = 2 or (4, 2)

Step-by-step explanation:

Given :-

2x + 3y = 14 -(1)

 x +  3y = 10 -(2)

To Find :-

x and y

Solving :-

Subtract (2) from (1).

=> x =  4

Substituting value of x in Equation 2 :-

4 + 3y = 10

3y = 6

=> y = 2

Solution :-

x = 4, y = 2