Using the Central Limit Theorem, the standard deviation of the sampling distribution of sample means would be of 0.86.
What does the Central Limit Theorem state?It states that the standard deviation of the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.The parameters for this problem are given as follows:
[tex]\sigma = 6.8, n = 63[/tex].
Hence:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]s = \frac{6.8}{\sqrt{63}}[/tex]
s = 0.86.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
#SPJ1
What is the probability that , in a group of 200 random people , at least two of them have the same triple of initials (such as JTK for James Tiberius Kirk)
The probability is P(X >= 2).
200 random people, n = 200
Let us consider the Binomial expression
i.e.,
P(X = r) = nCr*p^r*q^(n-r)
Here we have to assume that the 3 initials are equally likely events.
i.e.,
p = 1/3
q = 1 - 1/3
= 2/3
Required probability = P(X >= 2)
= 1 - [P(X = 0) + P(X = 1)]
= 1 - [200C0*(1/3)^0*(2/3)^200 + 200C1*(1/3)^1*(2/3)^199]
= 1 - [1*1*(2/3)^200 + 200*(1/3)*(2/3)^199]
= 1 - [(2/3)^200 + 200*(1/3)*(2/3)^199]
= 1 - (2/3)^200 - 200*(1/3)*(2/3)^199
Probability is truly how possibly something is to happen. every time we're unsure about the final results of an event, we will talk about the possibilities of certain consequences and how probably they are. The evaluation of events ruled by means of possibility is called records.
3 styles of probability
ClassicalRelative Frequency Definition.Subjective possibility.Learn more about probability here https://brainly.com/question/24756209
#SPJ4
In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20 winning numbers are randomly selected from numbers 1 to 80. A win occurs if the player has correctly selected 3, 4, or 5 of the 20 winning numbers. (Round all answers to the nearest hundredth of a percent.) what is the percent chance of winning
The percentage of winning if 20 winning numbers are randomly selected from numbers 1 to 80 is 12.48%.
Given There are 80 numbers from which 20 numbers are selected randomly in a game of Keno by player and after selection of 20 winning numbers again 20 numbers are selected and player wins if the player has correctly selected 3,4,or 5 of the 20 winning numbers.
Probability is the chance of happening an event among all the events possible.
Probability of winning is calculated as under:
Probability=[tex]C(20,3)C(60,17)/C(80,20)[/tex]
We have taken C(20,3) because player will win if 5 numbers are selected from 20 winning numbers.
We have taken C(60,17) because after selection of 20 numbers 60 numbers will left from 80 and after winning from 3 numbers 17 numbers left and from total 80, 20 numbers are taken.
=C(20,3)C(60,17)/C(80,20)
=(20!/3!17! * 60!/17!43!)/80!/20!60!
=1140*387221678682300/35353161422121743200
=12.48%
Hence the probability of winning is 12.48%.
Learn more about probability at https://brainly.com/question/24756209
#SPJ4
According to aaa chicago what percentage of crashes involving teen drivers are instigated by distractions like using cell phones, reaching for objects or socializing?.
According to AAA Chicago, 58 percentage of crashes involving teen drivers are instigated by distracted driving.
What does AAA study tell about the distracted driving of teens?
According to the AAA Foundation for Traffic Safety's review of over 1,700 crash films, distracted driving causes 58 percent of car accidents involving juvenile drivers. According to the foundation, this figure is four times higher than earlier projections derived from police records.
The investigation identified 12 different kinds of distracted driving that contributed to collisions, with passenger interaction accounting for 15% of crashes. Twelve percent of the collisions were caused by using a cellphone, which was followed by reaching for something, looking inside the vehicle, gazing outside while not paying attention to the road, singing or dancing, and looking at something outdoors.
According to the study, young drivers were prey to distracted driving by calls, texts, or other mobile device use for an average of 4.1 seconds in the final six seconds before a catastrophic crash.
Learn more about distracted driving here:
https://brainly.com/question/18048790
#SPJ4
The density of liquid a is 8 pounds per gallon and the density of liquid b is 6 pounds per gallon. what quantity of liquid b weighs the same as 30 gallons of liquid a?
40 gallons of liquid b weighs the same as 30 gallons of liquid a.
What is density?A substance's density is defined as its mass per unit volume (more specifically, the volumetric mass density; also known as specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho). Density is mathematically defined as mass divided by volume.
where m is the mass, V is the volume and D is the density, which is sometimes roughly characterized as weight per unit volume, while this is incorrect scientifically; this quantity is more precisely known as specific weight.
For liquid a,
8= mass/30
For liquid b,
6=mass/volume
For the two masses to be equal,
240=6*volume
volume=240/6
volume=40
Learn more about density here:
https://brainly.com/question/1354972
#SPJ4
The question is on the picture:)
Answer: 90 degrees
Step-by-step explanation:
An angle inscribed in a semicircle measures 90 degrees.
Solve: P divided by 7 = 14 for p.
P=?
[tex]P \: \div \: 7 \: = \: 14[/tex]
We rewrite the division of the member in a fraction.[tex] \frac{1}{7} P \: = \: 14[/tex]
We multiply the members of the equation by "7".[tex] \boxed{ \bold{P \: = \: 98}}[/tex]
MissSpanishAnswer:
Here you go!
sorry for my writing -_-
Any confusion, you may ask me.
what is 1,987 divide 12 =
The division of 1987 by 12 when solved gives a quotient of; 165.5
How to divide numbers?We want to divide 1,987 by 12. This can be expressed as;
1987 ÷ 12
Now, it must be noted that when dividing, we have the divisor and the dividend. Where the number that is being divided is the dividend which is the numerator, while the number by which we divide is the divisor which is the denominator. Thus, in this question, we have;
Dividend = 1987
Divisor = 12
Thus;
1987/12 = 165.5
Thus, we can conclude that when we divide 1987 by 12, we get 165.5
Read more about division of Numbers at; https://brainly.com/question/1622425
#SPJ1
Consider the diagram.
Triangles L O N and L M N share side L N. Sides O L and M L are congruent. Sides O N and N M are congruent.
The congruence theorem that can be used to prove △LON ≅ △LMN is
SSS.
ASA.
SAS.
HL
The congruence theorem that proves that △LON ≅ △LMN is: A. SSS congruence theorem
What is the SSS Congruence Theorem?According to the SSS congruence theorem, if all three corresponding sides of two triangles are congruent, then both triangles are congruent.
In the image given, we have:
ON ≅ MN LO ≅ LMLN ≅ LN (reflexive property)This means all three corresponding sides are congruent, therefore, the congruence theorem that proves both triangles are congruent is:
A. SSS.
Learn more about the SSS congruence theorem on:
https://brainly.com/question/2102943
#SPJ1
Answer: Option 1 or A. SSS
Step-by-step explanation: The congruence theorem that can be used to prove △LON ≅ △LMN is SSS.
Trust me!
If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.
If you found any of my answers helpful please like and subscribe. I mean choose my answer as Brainliest. I would appreciate it! :)
thank you in advance, have a awesome day
Answer:
Looks like an obtuse scalene triangle
Step-by-step explanation:
The angle of the top vertex looks to be obtuse. It if was acute isosceles it would have 2 equal sides. If it was a right triangle it would have a right angle (which it doesn't). It was obtuse isosceles it would have equal sides. So it should be A: Obtuse Scalene Triangle
The sum of an infinite geometric series is $27$ times the series that results if the first three terms of the original series are removed. What is the value of the series' common ratio
Let [tex]a[/tex] be the first term in the series and [tex]r[/tex] the common ratio. Then the infinite series converges to
[tex]a + ar + ar^2 + ar^3 + ar^4 + ar^5 + \cdots = \dfrac a{1-r}[/tex]
Removing the first three terms from the left side effectively multiplies the right side by 27, so
[tex]ar^3 + ar^4 + ar^5 + \cdots = \dfrac{27a}{1-r}[/tex]
By elimination,
[tex]a + ar + ar^2 = -\dfrac{26a}{1-r}[/tex]
Solve for [tex]r[/tex]. We can eliminate [tex]a[/tex] so that
[tex]1 + r + r^2 = -\dfrac{26}{1-r} \\\\ \implies 1-r^3 = -26 \\\\ \implies r^3 - 27 = 0 \\\\ \implies r^3 = 27 \implies \boxed{r=3}[/tex]
Three museums charge an entrance fee based on the number of visitors in the group. the table lists the fees charged by the museums. at which museum is the entrance fee proportional to the number of visitors?
The entrance fee at museum C is modeled by a proportional relationship with the number of visitors.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Researching the problem on the internet, the prices for three museums are given, but only one of them has a constant rate of which, which is Museum C, as:
k = 4/3 = 16/12 = 24/18 = 1.33.
Hence the relation for the entrance fee is:
y = 1.33x.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
can you help me i dont understand this U_U
Answer:
work hours: independent
salary: dependent
Step-by-step explanation:
The independent variable is what is you're "typically" in control of, or it has a constant increase. For example time, you're not really "in control" of time, but it has a constant change. One example where you are in control, is how much money you deposit into your account, you can slightly control it (you obviously can't deposit more than you have), but it's still somewhat in your control.
The dependent variable is what changes as a result of the independent variable changing. So for example in the previous example, where the money deposited was the independent variable, the dependent variable would be the total amount of money in your account
In this case the number of hours during the week is the independent variable and the salary depends on how many hours you work in the week so that is the dependent variable
i need help asapp
(-2)⋅n⋅(8)⋅n⋅(-n)
if anyone can simplify it, i would appreciate it so much
The simplified expression of (-2)⋅n⋅(8)⋅n⋅(-n) is 16n^3
How to simplify the expression?The expression is given as:
(-2)⋅n⋅(8)⋅n⋅(-n)
Express as products
(-2) * n * (8) * n * (-n)
Multiply -2 and 8
-16 * n * n * (-n)
Multiply the three n's
-16 * -n^3
Evaluate the product
16n^3
Hence, the simplified expression of (-2)⋅n⋅(8)⋅n⋅(-n) is 16n^3
Read more about expression at:
https://brainly.com/question/723406
#SPJ1
What is the measure of this angle?
40
140
130
50
Answer:
It's 50 degrees and it is acute
Step-by-step explanation:
hope it helps
sorry if I'm wrong
←
2. What is the five-number summary for (34, 47, 51, 11,7,9,13, 49, 22)?
Answer: 47
Step-by-step explanation:
The legths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in., find the width, perimeter an area of this rectangle.
Step-by-step explanation:
when given a ratio like this 4:7, it means that one item represents 4 units, and the other 7 units.
let's assume that length is larger than width, so the given 31.5 in are these 7 units.
that means 1 ratio unit is
31.5 / 7 = 4.5 in
the width is 4 units, therefore
width = 4×4.5 = 18 in
the perimeter is
2×length + 2×width = 2×31.5 + 2×18 = 63 + 36 = 99 in
the area is
length × width = 31.5×18 = 567 in²
eric borrowed 5,000 to buy a used car. he agreed to make monthly payments of 175.00 for 36 months how much will how actually pay the bank? A.5,000 B.5,176 C.6,146 D. 6,336
The actual payment Eric made to the bank at 175.00 for 36 months is 6,300
Actual paymentAmount borrowed = 5,000Monthly payment = 175.00Number of months = 36Actual payment to bank = Monthly payment × Number of months
= 175.00 × 36
= 6,300
Therefore, the actual payment made to the bank is 6,300.
Learn more about loan:
brainly.com/question/26011426
#SPJ1
how many ways can 8 distinguishable books be placed in 5 distinguishable shelves so that each shelf contains one book
There are 6720 ways by 8 distinguishable books be placed in 5 shelves.
According to statement
The number of books (n) is 8
The number of shelves (r) is 5
Now, we find the ways by which the 8 books be placed in 5 distinguishable shelves
From Permutation formula
P(n,r) = n! / (n-r)!
Substitute the values then
P(n,r) = 8! / (8-5)!
P(n,r) = (8*7*6*5*4*3*2*1) / (3*2*1)
P(n,r) = 8*7*6*5*4
P(n,r) = 6720
So, there are 6720 ways by 8 distinguishable books be placed in 5 shelves.
Learn more about PERMUTATION here https://brainly.com/question/11732255
#SPJ4
If Davis buys 10 notebooks, then he will have 10$ left over. If he tries to buy 15 notebooks, then he will be 10$ short. How much money does Davis have?
The amount of money that Davis has in this scenario is; $50
How to solve algebra word problems?Let the amount of money he has be $X.
Now, if he buys 10 notebooks, he will have $10 left. Thus;
X - 10n = 10 -----(1)
If he buys 15 notebooks, he will be $10 short. Thus;
X - 15n = -10 ------(2)
Subtract eq 1 from eq 2 to get;
-5n = -20
n = -20/-5
n = 4
Thus;
X - 10(4) = 10
X = 10 + 40
n = $50
Read more about Algebra Word Problems at; https://brainly.com/question/21405634
#SPJ1
Ark invest estimates value of each us digital wallet user at $19,900 by 2025. assume value of latoken international client will be $1000 in 2027 and number of monthly paying clients will grow from 30,000 at 10% monthly rate till 2027 and 0 afterwards. what will be the value of latoken in 2027? *
The value of latoken in 2027 is $4731.
Given that in 2025 digital wallet users at $19900 and in 2027 latoken international clients will be $1000 and the number of monthly paying clients will grow from 30,000 at a 10% monthly rate till 2027 and 0 afterward.
The time esteem of cash states that a sum of cash is esteemed more presently than it'll be within the future. This is often due to the fact that cash can as it was extended by means of speculation. Speculation that's put off could be a missed opportunity. The time esteem of cash equation takes into consideration the amount of cash, its future esteem, the sum it can create, and the time period. The number of compounding periods is additionally a key variable for investment funds accounts.
By 2025=19900
By 2027 =1000 for client
Monthly pay =30000 each month
Rate=10%
At the end the value is computed below:
AED=30000(1+0.1)¹²
AED=30000(1.1)¹²
AED=30000×3.138
AED=94140
To find the value computation is done below:
19900x=1000×v×AED
x=(94140×1000×140)/19900
x=4.731×1000
x=4731
Hence, the value of latoken in 2027 when digital wallet user at $19,900 by 2025 and latoken international client will be $1000 in 2027 is $4731.
Learn more about compound interest from here brainly.com/question/2455673
#SPJ1
A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
Answer:
7/20
Step-by-step explanation:
15/25 * 14/24 = 210/600 = 21/60 = 7/20
Write equations for the vertical and horizontal lines passing through the point (5,3)
Answer:
Horizontal line - y=3
Vertical line - x=5
Step-by-step explanation:
See both graphs below
Which ordered pair is a solution of y = x + 12? (–12, –24) (0, –12) (9, 21) (24, 12)
Answer:
(9,21)
Step-by-step explanation:
If you plug in all the pairs, the only one that is true is (9,21).
y=x+12
21=9+12
The above equation is true, and that is why (9,21) is the answer.
Hope this helped! :)
Given: FH ⊥ GH; KJ ⊥ GJ
Prove: ΔFHG ~ ΔKJG
Triangles F H G and K J G connect at point G. Angles F H G and K J G are right angles.
Identify the steps that complete the proof.
♣ =
♦ =
♠ =
The fill up for the missing steps are:
all right angles are congruent. angle FGH is congruent to angle KGJ. AA similarity theorem.When is an angle known to be congruent?Note that we are given:
FH ⊥ GH KJ ⊥ GJBased on the definition of perpendicular lines, ΔFHG ~ ΔKJG are known to be right angles.
So: Δ FHG ≅ ΔKJG due to the fact that all the right angles are congruent.
ΔFHG and ΔKGJ are vertical angles and as such, the angle are congruent to angle ΔKGJ
Based on AA similarity theorem, ΔFHG ~ ΔKJG
Due to the above, the fill up for the missing steps are:
all right angles are congruent. angle FGH is congruent to angle KGJ. AA similarity theorem.Learn more about congruent angles from
https://brainly.com/question/7724930
#SPJ1
pls help me I need the help I would appreciate it!!!
SOLUTION :-
Since, the pair of angles are supplementary
a + b = 180°
50° + b = 180°
b = 180° - 50°
→ b = 130°
________________________________
HOPE IT HELPS
MARK BRAINLIEST!
FOLLOW ME!
Answer:
130°
Step-by-step explanation:
supplementary angles are two angles that add up to 180°
(they form a straight line)
So, because we know that ∠b and 50° are supplementary, they must add up to 180:
b + 50 = 180
- 50 -50 (subtract 50 from both sides to isolate b)
b = 130
So, ∠b [angle b] = 130°
hope this helps! have a lovely day :)
The total cost of a certain length of a piece of cloth is Rs 200. If the piece was 5cm longer and each meter of cloth costs Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per meter?
Answer:
=Rs.10
Step-by-step explanation:
search-icon-header
Search for questions & chapters
search-icon-image
Question
Bookmark
A piece of cloth costs Rs. 200. If the piece was 5m longer and each meter of cloth costs Rs. 2 less the cost of the piece would have remained unchanged. How long is the piece and what is the original rate per meter?
Medium
Solution
verified
Verified by Toppr
Let the length of the piece be x metres. Then, rate per metre =Rs.
x
200
New length =(x+5) metres
Since the cost remains same
New rate per metre =Rs.
x+5
200
It is given that
x
200
−
x+5
200
=2
⇒
x(x+5)
200(x+5)−200x
=2⇒
x(x+5)
1000
=2
⇒x
2
+5x=500⇒x
2
+5x−500=0$
⇒x
2
+25x−20x−500=0
⇒(x+25)(x−20)=0⇒x+25=0
orx−20=0⇒x=20orx=−25
But x cannot be negative. So, x=20
Rate per metre Rs.
x
200
=Rs
20
200
=Rs.10
Taking your eyes off the road for ____ seconds at 60 miles per hour means you have traveled blindly for half the length of a football field
When the first cars hit the roads they were as much (or more) a novelty, as they were the first step in mechanized transportation for the masses. Going for a “Sunday Drive” was an actual activity, not just an analogy for someone taking their sweet time. Vehicles were lighter and slower, and there wasn’t a constant sense of urgency to get from “Point A” to “Point B”.
Fast forward a little over a century and our vehicles have transformed into an average of a 2-ton living room/office/daycare that can cover 95 feet every second traveling down the road.
A lot of talks are occurring about distracted driving, but have you ever thought “I can take my eyes off the road for 2 seconds, it's no big deal”? To change a radio station, to answer a phone call, to look for an item you’ve dropped. Nearly every single one of us has at some point, even those who use a hands-free device.
The more times you take your eyes off the road for just those two seconds, the increases your likelihood of an incident
Learn more about miles at
https://brainly.com/question/10428039
#SPJ4
An ATM personal identification number (PIN) consists of a four-digit sequence. According to a representative at the bank, there are in fact restrictions on the choice of digits. It is prohibited to have any sequence start with 19 (birth years are too easy to guess). How many possible PINs are there with this restriction
The number of combinations of pins that can generated without using 19 in beginning are 3645 pins.
Given ten numbers from 0 to 9 and we are require to generate pins such that 19 will not come in beginning.
Total numbers=10
Combinations are the arrangement of numbers, variables, alphabets, etc. to form another numbers or word. In this problem we have to use combinations because there will be many combinations made from 10 numbers to form a 4 digit pin.
[tex]C=n!/r!(n-r)![/tex]
Combination: When 19 is not in beginning, we have to use 2 numbers in the beginning other than 19 so we can use all 9 numbers on thousandths place other than 1 and all the 9 numbers on hundredth place other than 9 and rest 2 places can be filled with any number from all 10 numbers so the combinations will be [tex]9 C_{1}*9C_{1}* 10C_{2}[/tex]=9*9*45=3645 pins.
Hence we can make 3645 pins of ATM from 10 numbers not starting with 19.
Learn more about combinations at https://brainly.com/question/11732255
#SPJ4
One day, the Early Bird Restaurant used
15 dozen eggs for 200 breakfast
customers. At this rate, approximately
how many dozen eggs are needed for 300
breakfast customers?
E. 20
F. 23
G. 25
H. 30
Answer:
F. 23
Step-by-step explanation:
15/2 = 7.5
7.5 dozen eggs per 100 customers
15 + 7.5 = 22.5 which can be rounded to 23
= 23
Are the expressions –0.5(3x 5) and –1.5x 2.5 equivalent? explain why or why not.
The constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute a value for x and evaluate each expression, the values will not be equal.
Expression 1: [tex]-0.5(3x+5)[/tex]
Using the distributive property to expand the first expression, we get
[tex]-0.5(3x+5) = -1.5x-2.5\\[/tex]
Expression 2: [tex]-1.5x + 2.5[/tex]
Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.
Also, if you substitute a value for x and evaluate each expression, the values will not be equal.
Q. Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.
Learn more about equivalent expression here https://brainly.com/question/24734894
#SPJ4
Answer:Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Step-by-step explanation: sample explanation