Answers
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.
Answer: 0.00101=============================================================
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:
P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0The 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.
Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.=============================================================
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: 0.993Related Questions
Complete the equation to calculate the cost of the portable speaker, including sales tax.
$53
=
% of $50
Answers
Answer: The answer to this math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax is $94.34.
Step-by-step explanation: I don't have any step-by-step explanation, I'm sorry about that, but anyway, I hope that my given short answer is very helpful to your own math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax, please mark me as Brainliest, take care, always be safe, and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
What is the length of each side of this equilateral triangle?
A) 42
B) 30
C) 15
D) 12
Answers
Answer:
C I think hope you help this my answer
Answer:
15
Step-by-step explanation:
no explanation
Which is equivalent to 4√3
will mark brainlist if right
Answers
Answer:
The result can be shown in multiple forms.
Exact Form: 4√3 = √48
Step-by-step explanation:
4√3 is equivalent to √48
170 students or 85% of the students went to attend college what are the total number of students?
Answers
Answer:
200
Step-by-step explanation:
I think sorry if I am wrong
-18 = 3 (-z + 6) + 2z
Answers
Answer:
z = 36
Step-by-step explanation:
1) Distribute
-18 = -3z + 18 + 2z
2) Combine like terms
-18 = -z + 18
3) Subtract 18 from both sides of the equation
-18 - 18 = -z + 18 - 18
4) Simplify
a. Subtract the numbers
-36 = -z + 18 - 18
b. Subtract the numbers
-36 = z
5) Divide both sides of the equation by the same term
-36/ - 1 = -z/-1
6) Simplify
a. Divide the numbers
36 = -z/-1
b. Cancel terms that are in both the numerator and denominator
36 = z
c. Move the variable to the left
z = 36
The hypotenuse of a certain number is 5 units and one leg is 3 units long. Find the area of the triangle
Answers
Answer:
Area: 6
Step-by-step explanation:
It's a five, four, three triangle. Multiply 3 by 4, then divide the answer by 2 to find the area.
The table below represents a linear function. Identify the rate of change of the function.
(0,4) (4,-3) (8,-10) (12,-17)
Answers
Step-by-step explanation:
the rate of change is the slope of the line y/x. it is always the factor of x in the equation.
it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.
we only need to look at 2 points.
to go from (0, 4) to (4, -3)
x changes by +4 (from 0 to 4),
y changes by -7 (from 4 to -3).
so the rate of change is -7/3
vanillaor chocolate?? xD lol >:>
Answers
Answer:
Chocolate for sure XD
Step-by-step explanation:
Hope this helps!! lol
A faucet can fill a bathtub in 6 minutes. the drain can empty the tub in 10 minutes. If both the faucets and the drain are open at the same time, this situation is represented by this expression, where t is the number of minutes it will take to completely fill the bathtub.
[tex] \frac{t}{6} - \frac{t}{10} [/tex]
which expression can also represent this situation?
Answers
Answer:
4t/15
Step-by-step explanation:
Please trust me
PLEASE HELP GIVING BRAINLIEST! :)
Answers
Answer:
10
Step-by-step explanation:
3a+b - 4
Let a =3 and b = 5
3(3) +5 -4
Multiply
9+5-4
Add and subtract
14-4
10
Answer:
10
Step-by-step explanation:
a = 3b = 5= 3a + b - 4
= 3(3) + 5 - 4
= (3 . 3) + 5 - 4
= 9 + 5 - 4
= 9 + 1
= 10
is 10/110 an irrational or rational number
Answers
Hello there!
10/110 is a rational number because it can be expressed in the form p/q (where p is the numerator and q is the denominator)
Therefore, 10/110 is a rational number.Hope this helps you!
~Just a felicitous girlie
#HaveAGreatDay
[tex]SilentNature :)[/tex]
PLS HELP, WILL GIVE BRAINLIEST!
Answers
Answer: The answer to this math question about translating this given expression to an English phrase is C). 3 more than the product of 7 and 4.
Step-by-step explanation: The keywords are times and the sum, which tells us that the 2 operations are multiplication and addition, let's translate this math expression into an English phrase by looking at the 2 operation signs "×" and "+" in order to find the words to translate the given math expression into an English phrase that looks in the equation form and an English phrase like this:
7×4+3 = 3 more than the product of 7 and 4.I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about translating this given expression to an English phrase, please mark me as Brainliest after her answer was been reported by someone and got deleted by The Brainly Moderator, take care, always be safe, and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
-2z+3-z=□-4z+2
please give me the answer
Answers
Step-by-step explanation:
[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Given to solve: -2z+3-z = -4z+2
⇛ -3z + 3 = -4z + 2
⇛ -3z + 4z = 2 - 3
⇛ z = -1
Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.
The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be in eight weeks?
Answers
Answer:
tence there will be 6,00 insects abter 8 weeks.
Step-by-step explanation:
if you help me you get brainly
Answers
Answer:
3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )
5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )
6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )
9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )
11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )
Step-by-step explanation:
Answer:
Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.
Step-by-step explanation:
Hope it helps. Mark brainiest if it does!
Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.
show your work.
Answers
Answer:
1014
Step-by-step explanation:
Remember this formula to find certain terms in arithmetic sequences:
[tex]t_{n} =t_{1} +(n-1)d[/tex]
n = term number
[tex]t_{1}[/tex] = term #1
d = common difference
Sequence = 24, 34, 44, 54...
We are looking for term #100
So we do
[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]
c.
The family purchased refreshments and spent a total of $18.50. If the total amount of money spent
on tickets and refreshments was $94.50, use an equation to find the cost of one regular admission
ticket.
How would you write the equation?
Answers
(94.50 - 18.50) ÷ f = a
f=family members
a=answer
I don't know how many family members there are, but you would just replace f with the amount.
Poppy gives one half of a cake to her big brother and the other half to her three friends who share it equally. What fraction of the cake does each friend get?
Please help!!
Answers
Answer:
1/12
Step-by-step explanation:
Using the discriminate. Find the number of real solutions. 2^2+7x-15=0
Answers
Answer:
= 11/7
Step-by-step explanation:
What equation is graphed in this figure?
A: y−3=32(x+1)
B: y+1=−23(x−3)
C: y−4=−23(x+2)
D: y+2=−32(x−2)
Answers
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
[tex]y=-\frac{1}{4}x\\[/tex]
Step-by-step explanation:
The slope is calculated by "up ÷ across".
= -1 ÷ 4
= [tex]-\frac{1}{4}[/tex]
The y-intercept is just 0 (because the line meets at the y axis at 0).
So, using [tex]y=mx+b[/tex] (where m = slope and b = y-intercept),
[tex]y=-\frac{1}{4}x+0[/tex]
but the '+0' is unnecessary so we just say [tex]y=-\frac{1}{4}x[/tex]
-0.75___-3/4
which one is greater
Answers
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\huge\text{GUIDE} \ \boxed{\downarrow}\\\large\boxed{\mathsf{>: is \ \bf greater \ than }}\\\\\large\boxed{\mathsf{<: is \bf \ less\ than}}\\\\\large\boxed{\mathsf{\geq: is \ \bf greater\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{\leq: is\ \bf less\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{=: is \ \bf equal \ to}}[/tex]
[tex]\huge\text{GUIDE \#2}\ \boxed{\downarrow}\\\large\text{When you are working with greater than, you're basically shows}\\\large\text{when a number is BIGGER than the other number.}\\\\\large\text{When you are working with less than you are finding the opposite}\\\large\text{of greater than. (it shows when a number is SMALLER than the}\\\large\text{number.)}[/tex]
[tex]\\\large\text{When you are working with greater than or equal to, you are }\\\large\text{basically finding out if the number is greater or equal to the other }\\\large\text{number.}\\\\\large\text{When you are working with less than or equal to you are trying to}\\\large\text{figure out if your number is less than or equal to the other}\\\large\text{number.}[/tex]
[tex]\huge\text{ANSWERING YOUR GIVEN QUESTION}\ \boxed{\downarrow}[/tex]
[tex]\large\boxed{\rm{-0.75 \ ? \ -\dfrac{3}{4}}}[/tex]
[tex]\large\text{I'm going to make this easier to solve for you. I will convert the}\\\large\text{fraction }(\rm{-\dfrac{3}{4}})\large\text{ into a decimal. To do so, you have to DIVIDE the}\\\large\text{numerator (the number on TOP) from the denominator (the}\\\large\text{BOTTOM number)}[/tex]
[tex]\large\text{REMEMBER }\textbf{!}\\\large\text{Negatives are BELOW zero. (including decimals \& fractions).}\\\\\large\text{Positives are ABOVE zero}[/tex]
[tex]\large\boxed{{\mathsf{- \dfrac{3}{4}}}}\\\\\\\large\boxed{\mathsf{\rightarrow - 3\div 4}}\\\\\\\large\boxed{\rightarrow\mathsf{-0.75}}[/tex]
[tex]\large\text{Therefore, -0.75 and }\rm{-\dfrac{3}{4}}\large\text{ are equivalent to each other}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: }}\ \huge\boxed{\mathsf{-0.75 \bold{\ =} -\dfrac{3}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
The number farthest to the right is the greater number.
Step-by-step explanation:
How many video games were sold in the year 2001
Answers
Answer:
265
Step-by-step explanation:
you only need to do is simplify the expression.
am i correct ?? for a brainly and pls explain
Answers
Answer:
Yes.
Step-by-step explanation:
Because
6*4 =24
and 4*0 = 0,
24+0=24
have a nice day!!!
can someone help me please, this is so stressful:/
Answers
Answer:
x=2
Step-by-step explanation:
To solve for x, you want to isolate it. To do this, move terms that are NOT x and use the opposite operation to get it to the other side.
10x - 3 = 17
(Add 3 to both sides)
10x = 20
Now isolate x (since 10x is really 10 * x, you divide)
10x=20
x=2
This is how you would solve to get the solution.
Hope this helps :D
Solve the math problem
Only solve 3 and 4
Answers
Answer:
nothing is being showed
Step-by-step explanation:
Answer:
Step-by-step explanation:
3) Cost of o balloons = 0
4) It represents a proportional relation ship.
Reason
[tex]\dfrac{25.50}{3}=\dfrac{42.50}{5}=\dfrac{59.50}{7}=\dfrac{76.50}{9}=8.5[/tex]
7.0g divided by 5.6g/cm cubed
Answers
Answer:
Should be 1.25cm
Step-by-step explanation:
Plzzzzzx help meeeeee
Answers
Step-by-step explanation:
first find out the area of sector ECF
π(10)² × 40°/360°
=100π×1/9
=100π/9 m²
now find the area of sector DCG
π(2)² × 40°/360°
=4π/9 m²*
so the area of the shaded region would be the big sector minus the small sector
so
100π/9 - 4π/9
=96π/9
=33.5 m² (3sig.fig.)
*Note that 4π/9 DOES NOT equal to 2π/3
4/9 DOES NOT EQUAL TO 2/3
You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.
In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.
Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.
Answers
Step-by-step explanation:
3(100)2 + 17(100) - 203(10000) + 1700 - 20
30000 + 1700 - 20
31680
Percent of 51,300-45,800
Answers
Answer: the percent is 112.01. please mark brainliest
Step-by-step explanation:
