At a high school movie night, the refreshments stand sells popcorn and soft drinks. Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. 38 students bought both popcorn and a drink. What is the probability that a student buys a drink, given that he or she buys popcorn? Express your answer as a percent, rounded to the nearest tenth... best answer wins brainliest!!!

Answer:

D.

Step-by-step explanation:

5/4=1.25, -2[tex]\sqrt{2}[/tex] = -2.828

Therefore,

1.25 (5/4), 1.04, -0.34, -2.828 (-2[tex]\sqrt{2}[/tex]), -17

Answer:

A. -11

Step-by-step explanation:

In the function, replace x with -2

R(x) = x^2 - 3x - 1 ➡ R(-2) = (-2)^2 - 3 × 2 -1 = -11

Answer:

1.6 ft

Step-by-step explanation:

If you use the Pythagorean Theorem to solve for x, you get:

[tex]x=\sqrt{2.1^2-1.4^2}[/tex]

[tex]x=\sqrt{2.45} = 1.56524758425[/tex]

Rounded to the nearest tenth, the answer is 1.6

Step-by-step explanation:

When you have a ratio, you put one number as the numerator and than one number as the denominator.

so it would be (12/34)=(x/68)

In this example I made the ratio you are comparing it to have 68 dollars, so when you solve for the amount of quarters you need it should be 24, since all of the numbers in this example are just being doubled.

To solve for x, you multiply 68 on both sides of the equation, 68×(12/34)=x

24=x

So this proves that this is how ratios, are used. It also does not matter what number you place on the numerator or denominator.

Since X₁ and X₂ are independent, we have

Var[X₂ - 3X₁] = Var[X₂] + (-3)² Var[X₁]

Var[X₂ - 3X₁] = 8 + 9 × 1

Var[X₂ - 3X₁] = 17

Then the standard deviation of X₂ - 3X₁ is the square root of the variance, √17.

Answer:

0

Step-by-step explanation:

We can find the slope  using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 2-2)/(-4 -1)

   = 0/-5

  =0

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = 0

▹ Step-by-Step Explanation

[tex]Slope = \frac{y2 - y1}{x2 - x1} \\\\Slope = \frac{2 - 2}{-4 - 1} \\\\= \frac{0}{-5} \\\\= 0[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

(A) f(x) = 7 is constant, so f(x + h) = 7, too, which makes f(x + h) - f(x) = 0. So f'(x) = 0.

(B) f(x) = 5x + 1   ==>   f(x + h) = 5 (x + h) + 1 = 5x + 5h + 1

==>   f(x + h) - f(x) = 5h

Then

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5[/tex]

(C) f(x) = x ² + 3   ==>   f(x + h) = (x + h)² + 3 = x ² + 2xh + h ² + 3

==>   f(x + h) - f(x) = 2xh + h ²

[tex]\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x[/tex]

(D) f(x) = x ² + 4x - 1   ==>   f(x + h) = (x + h)² + 4 (x + h) - 1 = x ² + 2xh + h ² + 4x + 4h - 1

==>   f(x + h) - f(x) = 2xh + h ² + 4h

[tex]\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4[/tex]

Answer:

-11

Step-by-step explanation:

Answer:

345.4 using the 3.14 for pi

345.6 using the pi button

Step-by-step explanation:

The surface area of a cylinder is given by

SA=2 pi rh+2 pir^2

The radius is 5 and the height is 6

SA = 2·pi·5·6+2·pi·5^2

SA = 60pi + 50pi

      110pi

Letting pi = 3.14

SA =345.4

Letting pi = pi button

= 345.57519 = 345.6

Step-by-step explanation:

- 6x - 6 - 2x = 40. collect the like terms

- 6x - 2x - 6 = 40

- 8x - 6 = 40 take 6 to the right

- 8x = 40 + 6

- 8x/ -8 = 46/ - 8

x = - 5.75

I hope this answers your question

Answer:

Three to the second power

Step-by-step explanation:

Hey there!

3 square

Can be written as the following,

Three to the second power

Hope this helps :)

Answer:

$11.25

Step-by-step explanation:

Total money given to the taxi driver=36+(25/100)*36=45

The cost borne by each person=45/4=11.25

Answer:

(q-5)³

Step-by-step explanation:

the difference of q and 5 is written as q - 5

Then you add an exponent with the digit 3

(q-5)³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex](-\infty,1/4)\cup(1/4,\infty)[/tex]

The answer is C.

Step-by-step explanation:

We are given the rational function:

[tex]\displaystyle f(x) = \frac{x-3}{4x-1}[/tex]

In rational functions, the domain is always all real numbers except for the values when the denominator equals zero. In other words, we need to find the zeros of the denominator:

[tex]\displaystyle \begin{aligned}4x -1 & = 0 \\ \\ 4x & = 1 \\ \\ x & = \frac{1}{4} \end{aligned}[/tex]

Therefore, the domain is all real number except for x = 1/4.

In interval notation, this is:

[tex](-\infty,1/4)\cup(1/4,\infty)[/tex]

The left interval represents all the values to the left of 1/4.The right interval represents all the values to the right of 1/4. The union symbol is needed to combine the two. Note that we use parentheses instead of brackets because we do not include the 1/4 nor the infinities.  

In conclusion, our answer is C.

Answer:

The third one

Step-by-step explanation:

Answer:

2a^4c-2ac^2-15

Step-by-step explanation:

Sorry, I not sure if this is right or not cause I don't know if the exponent for -4a^4c is that or -4a^4c-15, but I'm just going to go with -4a^4c. However aside from that you just combine like terms.

Answer:

[tex]2a^4c-2ac^2-15[/tex]

Step-by-step explanation:

[tex]6a^4c+8ac^2-4a^4c-15-10ac^2[/tex]

We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms,

[tex]6a^4c-4a^4c[/tex] and [tex]8ac^2-10ac^2[/tex]

[tex]6a^4c-4a^4c+8ac^2-10ac^2-15[/tex]

Add similar elements:

[tex]2a^4c+8ac^2-10ac^2-15[/tex]

Add, [tex]8ac^2-10ac^2=-2ac^2[/tex]

[tex]=2a^4c-2ac^2-15[/tex]

OAmalOHopeO

Complete Question

You look over the songs in a jukebox and determine that you like 18 of 59 songs.

(a) What is the probability that you like the next four songs that are played? (Assume a song cannot be repeated) Round to three decimal places as needed)

(b) What is the probability that you do not like the next four songs that are played? (Assume a song cannot be repeated.) Round to three decimal places as needed

Answer:

a

 [tex]P = 0.0067[/tex]

b

  [tex]Q = 0.222[/tex]

Step-by-step explanation:

From the question we are told that

    The  total number of songs is  [tex]n = 59[/tex]

    The  number of songs you liked is [tex]k = 18[/tex]

The probability that you like the next four songs that are played? (Assume a song cannot be repeated) is mathematically represented as

        [tex]P = \frac{ ^{k} C _4 }{ ^{n} C _4}[/tex]

=>     [tex]P = \frac{ ^{18} C _4 }{ ^{59} C _4}[/tex]

Now using a combination calculator

       [tex]P= \frac{ 3060}{ 455126}[/tex]

       [tex]P = 0.0067[/tex]

The probability that you do not like the next four songs that are played? (Assume a song cannot be repeated.) is mathematically evaluated as

     [tex]Q = \frac{ ^{n- k} C _4 }{ ^{n} C _4}[/tex]

=>  [tex]Q = \frac{ ^{59- 18} C _4 }{ ^{n} C _4}[/tex]

=>  [tex]Q = \frac{ ^{41} C _4 }{ ^{59} C _4}[/tex]

Now using a combination calculator

      [tex]Q = \frac{ 101270}{ 455126}[/tex]

      [tex]Q = 0.222[/tex]

Answer:

Step-by-step explanation:

To find the common ratio between the terms of the sequence divide the previous term by the next term.

That's

Or

Therefore the common ratio of the sequence is - 3

Hope this helps you

Answer:

-3

Step-by-step explanation:

Answer:

All units of measurement that are not based on or do not measure mass or weight and volume are incommensurable with kilograms.

Step-by-step explanation:

A measure unit is said to be incommensurable with another if it does not have the same measurement basis with the other measure unit.  For example, a measure in time cannot be measured in kilograms because time is measured in hours, minutes, seconds, days, etc.  But, if a measurement base can be applied to two or more measurement units, then the measurement units are commensurable with the measurement base.

9514 1404 393

Answer:

  24 miles

Step-by-step explanation:

The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...

  1.75xx +2.90 = 44.90 . . .  equation for xx

  1.75xx = 42.00 . . . . . subtract 2.90

  xx = 24 . . . . . . . . . divide by 1.75

The number of miles in Nicole's taxi ride was 24.

9514 1404 393

Answer:

   $40,615.20

Step-by-step explanation:

The amortization formula will tell you Michelle's monthly payment.

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . loan value P at interest rate r for t years

  A = $124,500(0.059/12)/(1 -(1 +0.059/12)^(-12·10)) ≈ $1375.96

__

The total of Michelle's 120 monthly payments is ...

  12 × $1375.96 = $165,115.20

This amount pays both principal and interest, so the amount of interest she pays is ...

  $165,115.20 -124,500 = $40,615.20

Michelle will pay $40,615.20 in interest over the course of the loan.

__

A calculator or spreadsheet can figure this quickly.

Interval of function f(x) is sometimes negative and sometimes positive.

The function interval is said to be positive if the value of the function f (x) increases with an increase in the value of x. In contrast, the function interval is said to be negative if the value of the function f (x) decreases with the increase in the value of x.

Given function,

f(x) = (2x – 1)(3x + 5)(x + 1),

Zeros of function,

x = 1/2 = 0.5

x = -5/3 = - 1.6667

x = -1

From the graph

Interval of function is negative between -∞ < x < -1.6667

Interval of graph is positive between -5/3 < x < -1

Interval of function is negative between -1 < x < 0.5

Interval of graph is positive 0.5 < x < ∞

Hence, f(x) has sometimes positive interval and sometimes negative interval.

Learn more about interval of function here:

https://brainly.com/question/29197921

#SPJ1

Answer:

Circumference=2π*(radius)

= 2*3.14*2.5 inches

= 15.7 inches

Answer:

Step-by-step explanation:

Prime factorize 27 and 16

27 = 3 * 3 * 3

16 = 2 * 2 * 2 * 2

[tex]\frac{\sqrt{27}}{\sqrt{16}}=\frac{\sqrt{3*3*3}}{\sqrt{2*2*2*2}}[/tex]

     [tex]= \frac{3\sqrt{3}}{2*2}\\\\\\=\frac{3\sqrt{3}}{4}[/tex]

Answer: (3√3)/4

Explanation:

√(27/16)

=(3√3)/4

Because 27 = 3²×3

And 16 = 4²

So 4 is left and one 3 goes out and one stays in

Please click thanks and mark brainliest if you like

The number which is a multiple of 3,5 and 10 is 90

Answer:

2 * 3 + 4 * 5 = 26

5 * 7 + 1 * 8 = 43

Step-by-step explanation:

Given

_ * _ + _ * _ = _ _

Required

Fill in the boxes with digits 0 to 9

From the question we understand that the result must be two digits i.e. _ _

To solve this, we'll make use of trial by error method:

Fill the first two boxes wit 2 and 3: _ * _ becomes 2 * 3

Fill the next two boxes with 4 and 5: _ * _ becomes 4 * 5

So,we have

2 * 3 + 4 * 5

6 + 20

26

Hence, the first combination is 2 * 3 + 4 * 5 = 26

Another possible combination is:

Fill the first two boxes wit 5 and 7: _ * _ becomes 5 * 7

Fill the next two boxes with 1 and 8: _ * _ becomes 1 * 8

So,we have

5 * 7 + 1 * 8

35 + 8

43

Hence, another combination is 5 * 7 + 1 * 8 = 43

Note that; there are more possible combinations

Answer:

f = 16

Step-by-step explanation:

                              8

 8  x 2 = _f_    x  

                8

f = 16

Hi there! Hopefully this helps!

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

[tex]2 = \frac{f}{8}[/tex]

Multiply both sides by 8.

[tex]2 \times 8 = f[/tex]

Multiply 2 and 8 to get 16.

[tex]16 = f[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]f = 16[/tex]

Answer:

53

Step-by-step explanation:

i used an angle of 45 degrees.

Distance from ground = 3feets

Angle = 45⁰

U is the initial velocity = 80ft/sec

g = 32

The question wants us to vfind maximum height

We have

r(t) = (80cos45⁰)ti + [3 + 80sin45⁰]t - 0.5(32)t²

We know cos 45 is also sin45 = 1/√2

r(t) = (40√2)ti + [3+40√2]t - 16t²

When we differentiate with respect to t:

r'(t) = (40√2)i + (40√2 - 32t)

= 40√2 =32t

t = 40√2/32

t= 20√2/16

We put the value of t into (3 + 40√2)t -16t²

When we substitute and simplify this we have

3 + 56.57 + 1.77 -16 +8

= 53.34

Which is approximately 53.

Answer:

Ans:

i) y-int (0 , 2) and x-int (-2/3 , 0)

ii) y = 3x + 2

Step-by-step explanation:

we know:

m = 3 & point (0,2)

i

y-int is (0,2) because where x is 0 it intersects the y-axis

ii

from this we can sub it into the point slope formula which is:

y - y1 = m (x - x1)          (y1 and x1 being the values from a point lying on the line)

y - 2 = 3 (x - 0)

y - 2 = 3x

y = 3x + 2     < this is the equation

if you also need to find the x-int then:

to find x-int make y = 0 and solve for x

y = 3x + 2                     3x = - 2

0 = 3x + 2                       x = -2/3

therefore x-int is (-2/3,0)

Answer:

1,344

Step-by-step explanation:

Hope i am marked as brainliest answer