Using the binomial distribution, it is found that:
a) There is a 0.0501 = 5.01% probability that you need to contact four people.
b) You expect to contact 1.82 students until you find one who lives within five miles of you.
c) The standard deviation is of 1.22 students.
d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.
e) It is expected that 2.75 students live within five miles of you.
For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
55% live within five miles, hence [tex]p = 0.55[/tex].Item a:
This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]
[tex]p = 0.091125(0.55) = 0.0501[/tex]
0.0501 = 5.01% probability that you need to contact four people.
Item b:
The expected number of trials in the binomial distribution until q successes is given by:
[tex]E = \frac{q}{p}[/tex]
In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:
[tex]E = \frac{1}{0.55} = 1.82[/tex]
You expect to contact 1.82 students until you find one who lives within five miles of you.
Item c:
The standard deviation of the number of trials until q successes are found is given by:
[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]
Hence:
[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]
The standard deviation is of 1.22 students.
Item d:
This probability is P(X = 3) when n = 5, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]
0.3369 = 33.69% probability that 3 of them live within five miles of you.
Item e:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Hence:
[tex]E(X) = 5(0.55) = 2,75[/tex]
It is expected that 2.75 students live within five miles of you.
A similar problem is given at https://brainly.com/question/25343741
Which parent function is represented by the graph?
Answer: D. The quadratic parent function.
Step-by-step explanation:
Quadratic functions have a parabola shape like the graph shown in the image.
Find the slope of each line. PLS HELP TYSMMMM!
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
If ACD and BAC are alternate interior angles and mACD=101°
Answer is A. 101°
Step-by-step explanation:
Solve using elimination.
–4x + 9y = –18
–x − y = –11
12
Fill in the blank: What's the length of the missing
side?
Ilype your answer
Answer:
13
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute values of a and b:
[tex]5^2+12^2=25+144=169[/tex]
[tex]c^2=169\\c=13[/tex]
The length of the missing side is 13.
7x+3y=m, solve for y
A photo is 4 inches tall and 6 inches wide. To be proportional, how tall would the photo need to be if it were 10 inches wide?
Answer:
6[tex]\frac{2}{3}[/tex] inches tall
Step-by-step explanation:
4:6 = x:10
We can set it up like this:
[tex]\frac{4}{6}=\frac{x}{10}[/tex]
And then cross multiply & solve:
40 = 6x
6[tex]\frac{2}{3}[/tex] = x
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
b. 2x^2 + 15 _<13x solve polynomial inequality by factoring.
Answer:
x<5 or x<3/2
Step-by-step explanation:
2[tex]x^{2}[/tex]-13x+15<0
2[tex]x^{2}[/tex]-10x-3x+15<0
2x(x-5)-3(x-5)<0
(x-5)(2x-3)<0
x-5<0 or 2x-3<0
x<5 or x<3/2
Which humanist idea was inspired by ancient Greeks and Romans?
O The government should protect the rights of citizens.
O People should have a say in how their churches are run.
O Formal education is the best way to improve people's lives.
O People can understand the world by using logic and reason to study it.
Answer:
the answer is c
Step-by-step explanation:
its the right answer lol
Answer:
(C) Formal Education is the best way to improve people's lives
Personally I thought it was (D) but now that I think about it...well yeah
Give an example of an equation whose solution is 5
Answer:
x - 5 = 0
Step-by-step explanation:
x - 5 = 0
Add 5 on both sides,
x - 5 + 5 = 0 + 5
x = 5
The equation whose solution is 5,
" x - 5 = 0 "
Answer:
x-5=0 right answer
kkkkkksssxcvbb
the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?
Answer:
700 liter
Step-by-step explanation:
because 1000 * 7/10 is 700
A survey 3,000 who bought a new car showed that 900 had problems. What is the relative frequency of the people that had problems. show steps for me
Answer:
30%
Step-by-step explanation:
Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems
Math:
Amount of people you had problems / Amount of people who bought the new car.
900 / 3000 = 0.3
Now you need to multiply by 100% (because % in this case is a unit/measurement)
0.3 * 100% = 30%
If f(x)=8-5x, what is f(4p+3)
Answer:
-20p - 7
Step-by-step explanation:
f(x)=8-5x
f(4p+3) = 8 - 5(4p + 3)
= 8 - 20p - 15
= -20p -7
Select the correct answer from each drop-down menu.
A machine cuts a strip of carpet into two pleces. The length of the smaller plece is 5 meters greater than 4 the length of the larger piece. If
the length of the smaller piece is 12 meters, the length of the bigger plece is meters and the total length of the carpet is
meters.
Length of larger piece be x
Smaller piece=4x+5x=12m
[tex]\\ \sf\longmapsto 4x+5=4(12)+5=60+5=65m[/tex]
Total length=65+12=77m
The length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
Given that length of the smaller piece is 12 meters.
The length of the smaller piece is 5 meters greater than 4 times the length of the larger piece.
Let's represent the length of the larger piece as "x."
Length of the smaller piece = 4 times the length of the larger piece + 5
12 = 4x + 5
Subtracting 5 from both sides:
12 - 5 = 4x
7 = 4x
Dividing both sides by 4:
7/4 = x
1.75 = x
So, the length of the bigger piece is 1.75 meters.
To calculate the total length of the carpet, we add the length of the smaller piece and the length of the bigger piece:
Total length of the carpet = Length of the smaller piece + Length of the bigger piece
Total length of the carpet = 12 + 1.75
Total length of the carpet is approximately 13.75 meters.
Therefore, the length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
To learn more on Equation:
https://brainly.com/question/10413253
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Please help if you can!
Answer:
-3
Step-by-step explanation:
that’s where the line intercepts with the y axis
Answer:
-3,0 is y intercept good luck
Find the missing length of each triangle and round to the nearest tenth.
Answer: 5 inches
Step-by-step explanation: We must use the Pythagorean theorem to solve this. Since the hypotenuse is always opposite of the right angle, we know that the hypotenuse is 13 and we can substitute the values into this formula: a^2 + b^2 = c^2
12^2 + b^2 = 13^2
144 + b^2 = 169
169 - 144 = 25 (this is b^2)
[tex]\sqrt{25}[/tex] = 5
Thus, the value of x is 5 inches.
Would appreciate brainliest <3
Lin's family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Group of answer choices
24.5 miles
59.5 miles
200 miles
50 miles
Answer:
70x = 35
100
cross multiply
70x= 35 × 100
70x= 3500
divide both side by 70
70x = 3500
70 70
x= 50miles
Shirley is making a map of Main Street, which runs west to east through town. She used the number line shown, where each unit on the number line represents a block of main street and town hall was placed at zero.
After walking Main Street, she noted the following statements in her notebook. The flower boutique is five blocks west of the pet store. The pet store is four blocks east of the bank. The bank is eight blocks west of the hardware store. The hardware store is three blocks east of the bookstore. The bookstore is two blocks east of town hall.
Shirley also made a note to place an empty store in the opposite location of the bank on the number line.
Where should Shirley plot the empty store?
Answer:
3
Step-by-step explanation:
bookstore is two blocks east of town hall: 0+2=2
the hardware store is three blocks east of the bookstore: 2+3=5
the bank is eight blocks west of the hardware store: 5-8=-3
place an empty store in the opposite location of the bank: opposite of -3 is 3
HELP ASAP PLZ!!!!!!!!
Step-by-step explanation:
Triangle KLN has 3 equal angles so all sides of it must be equal ( equilateral triangle)
y+3=10
y=7
Triangle LNM has 2 equal angles as in an isosceles triangle so LN= ML
So sides opposite to equal angles must be equal too
x-6=y+3
x-6= 10
x= 16
What is the equation of a line that passes through the points (3, 6) and (8, 4)?
Answer:
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
Step-by-step explanation:
→ Find the gradient
[tex]\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}[/tex]
→ Write into y = mx + c format
[tex]y=-\frac{2}{5} x+c[/tex]
→ Substitute in ( 3 , 6 )
[tex]6 = -\frac{6}{5} +c[/tex] ∴ [tex]c = 6+\frac{6}{5} =\frac{36}{5}[/tex]
→ Rewrite into y = mx + c format
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
right ANSWERS only plz i need help on how to do it also not just the answer plz and thank u
Answer:
option c
Step-by-step explanation:
because 2x +1= 0
2x/2= -1
x= -1/2
(5x-7)^2-1=8 solve for x
Answer:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1 - Simplify by expanding the brackets:
[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]
Step 2 - Subtract 8 from both sides so the equation equals 0:
[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]
Step 3 - Use the quadratic formula:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]
Plug variables in:
[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]
[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]
So x is either:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]
[tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]
[tex]x = \frac{4}{5}[/tex]
Hope this helps!
Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427
Answer:
0.6887
Step-by-step explanation:
Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
What is normal distribution?
Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.
Adam's distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.
In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.
Normal distribution z = (x-μ)/σ x ~ (μ,σ)
When x = 108
z = (123 - 108)/47 [Adam's distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]
= 0.3191
P(x > 108) = P(z > - 0.3191)
= 1 - 0.3191 [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]
= 0.6887
Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
Learn more about Normal distribution here
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350 items have donated to the community food pantry and 35 of the items are jars of peanut butter. What percent of the donated items are jars of peanut butter?
Answer:
The answer is 25% donated peanut butter
Step-by-step explanation: Easy
what is it called when a constant and variable are combined (math)
Answer:
a 'term'
Step-by-step explanation:
3r means the constant 3 multiplied by the variable 'r'
.In TIPS, the classroom of Grade 7A has a section of a field that measures 4 x 10 3 feet
by 5 x 105 feet. Another section Grade 7B is measuring 6 x 10 4 feet by 3 x 104 feet
(a)What is the area of the Grade 7A?
(b)What is the area of the Grade 7B?
(c)Which section has larger area? And how much is larger?
Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.
Step-by-step explanation:
find the degree of the polynomial 5ab^3-7a^5c^2-5
Answer:
7
Step-by-step explanation:
as -7a^5c^2 term has two cofficient a and b and each have power.by adding power of one term we get 7
The circle below represents one whole . …. What percent is represented by the shaded area ?
Answer:
50%
Step-by-step explanation:
shaded area = 2/4
shaded area as a percentage ;
2 / 4 x 100
= 1 / 2 x 100
= 1 / 1 x 50
= 50%
Juan ate 26 carrots. Carmen ate 3 times as many carrots as Juan ate.
Select the multiplication equation that represents this situation.
Group of answer choices:
25 x 3 = 75
3 x 28 = 84
3 x 26 = 78
26 x 13 = 338
Answer:
It is the third one
Step-by-step explanation:
Answer:
3 x 26 = 78
Step-by-step explanation:
It's quite simple, when you look at the problem, it states Juan at 26 carrots. Carmen on the other hand ate 3 times as much. For the answer choices, they put Carmen's 3 first and Juan's 26 second.
Ivan was the 31st person in line. His position in line was just behind 5/9 of the total number of people in line. How many people were in line? HELP PLEASE WILL MARK BRAINLIEST
31=1-(5/9)x
30=-(5/9)x
x=54
The answer is 54 people.
hope this helps :)