A coffee shop uses 1/36 of a package of coffee beans to make 1/4 of a pot of coffee How many pots of coffee can the coffee shop make using the whole package of coffee beans? Enter your answer in the box.​

Part A

p = 0.32 = probability of someone voting by internet

n = 13 = sample size

x = 10 = number of people who voted by internet

Apply the binomial probability formula.

[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]

Note: the [tex]_n C_x[/tex] refers to the combination formula.

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Part B

We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.

However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.

Whichever method you use, you should find the following:

The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.

Add up those four values to get:

[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]

A faster shortcut is to use your calculator's binomCDF function.

This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.

Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.

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Part C

Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.

Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]

From this, we can say

[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]

This then rounds to 0.993

Answer:

4x2−12x+9=0

Step-by-step explanation:

The equation, 2x2+x+3=0, does not have a solution

The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37

The equation, x2−5x+4=0, equal 1 and 4

The equation, 4x2−12x+9=0, equals only 3/2

Hope this Helps

Answer:

15 hegevwyegecceccr

Step-by-step explanation:

5+3+0+7=15

Answer:

The digital root of 5307 is 6

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

Attached picture...

Answer:

3.5 ft

Step-by-step explanation:

[tex]1 \frac{3}{4} = \frac{7}{4} [/tex]

7/4 inch = ? feet

[tex] \frac{ \frac{1}{2} }{ \frac{7}{4} } = \frac{1}{x} \\ \\ \frac{4}{14} = \frac{1}{x} \\ x = \frac{7}{2} [/tex]

3.5 ft

Answer:

3.5 ft.

Step-by-step explanation:

The question describes a bookshelf with width given in inches and we have to find the actual width in feet.

That makes it

The bookshelf drawn by Sarita is

[tex]1 \frac{3}{4} [/tex]

inches wide.

Any fraction with it's quotient greater than or equal to 1 can be expressed in the form of mixed fraction.

It combines a whole number and a fractional reminder. The whole number represents how many complete wholes you have.

So, to convert a mixed fraction to an improper fraction, following steps will be conducted:

STEP I

(multiply the whole number by the denominator)

In this case,

[tex] 1\frac{3}{4} [/tex]

= 4 × 1

= 4

STEP II

(add the product to the numerator)

= 3 + 4

= 7

STEP III

(place the numerator obtained in Step 3 over the denominator)

Which gives us the fraction:

[tex] \boxed{ \frac{7}{4} }[/tex]

So, the width of the bookshelf is 7/ 4 in.

[tex] \mathsf{ \frac{1}{2} \: inches \: represent = 1 \: feet }[/tex]

[tex] \mathsf{ 1 \: inch \:will\: represent = 1 \times \: \frac{2}{1} feet }[/tex]

[tex] \mathsf{ \frac{7}{4} \: inches \:will\: represent = 2 \times \: \frac{7}{4} feet }[/tex]

[tex] \implies \mathsf{ \underline{\frac{7}{2} \: ft. }}[/tex]

[tex] \mathsf{or}[/tex]

[tex] \implies \: \mathsf{ \underline{3.5 \: ft.}}[/tex]

That makes it Option: D) 3.5 ft.

Answer:

2x^2

Step-by-step explanation:

Q:

identify the quadratic term in the function f(x)=2x^2-3x+5

A:

The quadratic term is 2x^2.

Answer:

2x2-3x-5=0

Step-by-step explanation:

(2x2 -  3x) -  5  = 0

Answer:

The quadratic term in the function is  

Step-by-step explanation:

Given : Function  

To find : Identify the quadratic term in the function ?

Solution :

The quadratic  form of the function is  

Where,  is quadratic term.

On comparing with given function,  

is the quadratic term.

Therefore, the quadratic term in the function is

Answer:

Using formula to calculate the circumference of wheel:

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter

Therefore, the circumference of her wheel is, 1 9/11

Step-by-step explanation:

-14

plug in #2 in the spots with an x

good luck :)

Answer:

[tex]n + 24 = 99 \\ \\ n = 99 - 24 \\ \\ n = 75[/tex]

Answer:

$1.10

Step-by-step explanation:

5.50 divided by 5, take a way the decimal in order to divide. 550/5=110

55 divided by 5 is 11 just add a zero

Answer:

Step-by-step explanation:

If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.

=> We see that the rise is 2. So 2 will be our numerator,

=> We can also see that the run is 3. So 3 will be our denominator.

What do we get?

We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.

Answer:

— ¼ = — 0.25

Step-by-step explanation:

[tex] \frac{a + bc}{a - bc} = \frac{ - 12 + 20}{ - 12 - 20} = \frac{8}{ - 32} = - \frac{1}{4} [/tex]

Answer: Each box of candy would contain 13.1 pounds of candy.

Step-by-step explanation:

Divide 65.5 by 5. Hope this helps!

[tex]\large\boxed{\mathsf{\dfrac{x}{-4}\leq 12}}\\\\\large\text{MULTIPLY -4 to BOTH SIDES}\\\\\large\boxed{\mathsf{-4\times -\dfrac{1}{4}x \leq -4 \times 12}}\\\\\large\text{CANCEL out: }\rm{-4 \times-\dfrac{1}{4}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{-4\times 12}\large\text{ because it helps solve for what is being compared to the }\\\large\text{x-value}\\\\\large\text{NEW EQUATION: }\rm{x \geq\ -4 \times 12}\\\\\large\text{SIMPLIFY IT}\uparrow[/tex][tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{x\geq-48}}}\huge\checkmark[/tex]

[tex]\large\boxed{\mathsf{It\ is\ an\ CLOSED\ circle\ shaded\ to\ the\ right}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

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

Answer:

B

Step-by-step explanation:

2⁶

2³

2⁶

2³

then add the ⁶+³+⁶+³ =18

2¹⁸

Answer:

C

Step-by-step explanation:

yeah-ya......... right?

Answer:

y > 2x + 48

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

58, 47, 36, 25,. ?

Each term is 11 less than the preceding term

the term after 25 will be

25 - 11 = 14

Answer:

What does this mean?

Step-by-step explanation:

So you need to divide the m by 234 and after you got your answer you would need to times it by 156

Answer:

im pretty sure the answer is 90°

Answer:

To find the rate of change you use the formula, Y2-Y1/X2-X1.

Function A:

You can substitute in any two points. The points I will use are (0,0) and (1,1).

1-0/1-0

1/1

1

The rate of change for Function A is 1.

Function B:

The points I will use are (2,1) and (4,2).

2-1/4-2

1/2

The rate of change for Function B is 1/2.

Since 1 is larger than 1/2, Function A has a larger rate of change. The value is 1.

Hope this helps! :)

[tex] \huge \bf༆ Answer ༄[/tex]

The distance between points can be solved using Distance formula (similar to Pythagoras theorem)

[tex] \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}[/tex]

Put the values : -

Distance between the points = 3√13 units

[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]

Answer:

If you are trying to find the line, simply use a graph.

Step-by-step explanation:

Given:

This is a horizontal parabola.

Canonical form of horizontal parabola is:

Focus is:

Directrix is:

Convert the equation:

We got:

Focus is:

Directrix is:

Given:

This is a vertical parabola.

Canonical form of vertical parabola is:

Focus is:

Directrix is:

Convert the equation:

We got:

Focus is:

Directrix is:

Answer:

23

Step-by-step explanation:

8 5/8 = 69/8

Each DVD is 3/8 inches

Ignore the denominators

We have 69 and 3

69 is 23 times bigger than 3, so 23 DVD's can fit

a is right its 58

and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.

but gotta check other people's answers

Answer:

2500

Step-by-step explanation:

2475 stamps is 99% of her original number of stamps.

SO,

[tex]2475 \div 99\% = 2500[/tex]

She originally had 2500 stamps

Answer:

x^2 + 7x- 3/x - 3/x^2 -16

Step-by-step explanation:

Key:  ( ^ ) means exponent

= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16

= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16

= x^2 - 2x^2 = -x^2

=  -x^2 + 2x + 5x- 3/x- 3/x^2-16

As you see you add 2x and the 5x and got 7x

= Answer : x^2 + 7x- 3/x - 3/x^2 -16

Answer:

I think the answer is x^2+3x-4/2x-1

Answer:

Look, this should help.

Step-by-step explanation: