Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 5m, hence [tex]\mu = 5[/tex].Standard deviation of 2 cm, hence [tex]\sigma = 0.02[/tex]To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:
[tex]z = \frac{0.0515}{0.02}[/tex]
[tex]z = 2.575[/tex]
The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.
Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.
0.995 - 0.05 = 0.99
Out of 500 measurements:
(0.99)500 = 495
495 readings fall within 5.15cm of the mean value.
A similar problem is given at https://brainly.com/question/24663213
HELP ME OUT PLEASE!!!!!!!!
Which associations best describe the scatter plot?
Select each correct answer
Nonlinear association
Linear association
Negative association
Positive association
Answer:
linear association, correct
Answer:
There are two answers: it is Nonlinear association and Linear association
Step-by-step explanation:
Nonlinear association- When comparing two data sets if the data from one set increase, the data from the second set decrease (it basically means a scatter plot that is decreasing).
Linear association- arranged in extending along a straight or nearly straight line.
I also took the test it it was correct.
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.A similar problem is given at https://brainly.com/question/16807970
A coach divided his team into two groups of equal size.
.
of the first group drinks at least 2 glasses of water a day
• 75% of the second group drinks at least 2 glasses of water a day.
What fraction of the team drinks at least 2 glasses of water a day?
Applying the percentages, and considering that 70% of the first group drinks at least 2 glasses of water a day, it is found that 0.725 = 72.5% of the team drinks at least 2 glasses of water a day.
The team is divided into two equal groups, hence, each represents 50%.
The percentages associated with drinking at least 2 glasses of water a day is:
70% of 50%(first group)75% of 50%(second group)Hence, applying the weighed percentage, the total percentage is:
[tex]T = 0.7(0.5) + 0.75(0.5) = 0.725[/tex]
0.725 = 72.5% of the team drinks at least 2 glasses of water a day.
A similar problem is given at https://brainly.com/question/1517088
What is 75.65 rounded to the nearest whole number?
Explain how you could solve the following using equal groups.
Linda wants to bake 48 cookies. The cookie tray has room for 8 cookies. How many batches will she have to bake to make 48 cookies?
Answer:
6
Step-by-step explanation:
48/8=6
Which of the following statements are true? Select all that apply.
Answer:
They have 2 left one OR 2 right ones are true
Step-by-step explanation:
(X-2)(5x+6)
Multiply using Distributive property
[tex](x-2)(5x+6)\\\\=x(5x+6) -2(5x+6)\\\\= 5x^2 +6x -10x -12 \\\\=5x^2 -4x-12[/tex]
5x-10x+6x-12
-`9x-12
i believe so
A pair of sunglasses is on sale 30% off. if the original cost of the sunglasses are $18, what is the sale price now?
Answer:
12.60
Step-by-step explanation:
I don't feel like explaining it, since I'm not good at giving detail sorry <3
I NEED ANSWER NOW PLSSSSS
pls help, no false answer or link
Answer:
1. 10$
2. 24,59$
-1/3 + (-7/4)
Ill give this cookie to who solves it
Answer:
-25/12
Step-by-step explanation:
first, you need a common denominator. in this case, it's 12.
-1/3=-4/12
-7/4=-21/12
and then you add
-4+-21=-25
so -25/12 is your answer
......................................
can somebody help me with a tutor
Answer:
well tutors are very cool they help you with your subjects so i dont see any probelm with them.
Step-by-step explanation:
Yamuna is getting ready to attend Wittenberg University in the fall. She needs 6 notebooks
at $2.19 each and a chromebook at $529.00. If she has $575 to spend, how much does
she have left for lunch?
Answer:
she has $32.86 left for lunch
Step-by-step explanation:
6 books at $2.19 each equals $13.14. plus the chrome book at 529. 529+13.14= $542.14
$575-542.14 equals $32.86
When asked to factor the trinomial 8x^2-8x-16) a student gives the answer (X - 2)(x + 1). What is one thing wrong with this answer? - A. 8 is also a factor of this trinomial B. The minus sign should be a plus sign C. The factors are not simplified D. There is nothing wrong with the answer
Answer:
8 is also a factor of this trinomial
Step-by-step explanation:
3/8 + 1/8 + 2/3 - 1/2 =
Answer: 2/3 (answer in decimal form = 0.6)
Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.
math models help PLEASE!
(20x5+10)-(8x8-4)
a . 58
b. 50
c. 40
Answer:
Answer is C, 40
Step-by-step explanation:
(100)-(60)
Find the product. Simplify your answer.
(3p–2)(4p–1)
there you go the answer is in the picture
с
6
D
15
8
B
?
А
1) Find the missing side length.
es
A) 14
B) 16
18
D) 20
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3
Answer:
The answer would be 19
Step-by-step explanation:
Using pythagoras theorem
15+6= 21
a^2+b^2= c^2
In this scenario,
c^2-a^2= b^2
Meaning it would be 21^2+8^2
= 377
Square root of 377 would be 19.416
?= 19.416
The missing side length of the right angle triangle is 20
How to solve missing sides using Pythagoras theoremPythagoras theorem States that the square of the longest side of a triangle is equal to the sum of the square of the opposite side and no square of the adjacent side.
The diagram is a right angle triangle with sides AB, BC and CA.The longest side is BCBC² = AB² + CA²
(15 + 6)² = x² + 8²
21² = x² + 8²
21² - 8² = x²
441 - 64 = x²
377 = x²
find the square root of both sidesx = √377
x = 19.41648783894759891856148511263886343
Approximately to the nearest whole number
= 20
Learn more about Pythagoras theorem:
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You measure 43 randomly selected textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 12.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.
Answer:
by the empirical rule, 95% of the population is within 2 standard deviations of the mean
55 + or - 2(9.2) = 55+ or - 18.4 = (36.6,73.4)
95% of the population falls between 36.6 and 73.4 ounces
Step-by-step explanation:
Two hundred fifty tickets are sold at a fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is
.
Answer:
6%
Step-by-step explanation:
15/250=3/50 or 6%
The probability that Sarah would win the prize quilt given the tickets she bought is 6%.
What is the probability?
Probability is how likely it is that a stated event would happen. The probability of the event happening lie between 0 and 1.
The probability that Sarah would win the prize quilt = number of tickets bought / total number of tickets
(15 / 250) x 100 = 6%
To learn more about probability, please check: https://brainly.com/question/13234031
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[tex]{ \pink{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} } \sf \pink\int_{ 0 }^{x_{2}... \int_{ 0 }^{x_{99}}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/tex]
︎︎︎︎︎︎︎
Step-by-step explanation:
[tex]\small{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} \int_{ 0 }^{x_{2}}... \int_{ 0 }^{x_{99}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/tex]
[tex]\small{{ \displaystyle\tt = - \int_{0}^{1} \int_{0} ^{ x_{1}} \int_{ 0 }^{x_{2}}... \int_{ 0 }^{x_{98}} \sum_{n = 1}^{ \infty \frac{}{} \frac{}{} } \frac{1}{n} \int_{0}^{x_{99}} {x}^{n}_{100} \: dx_{100}...dx_{1} }}[/tex]
[tex]{{ 0 }^{x_{98}} \frac{{x}^{n + 1}_{99}}{n + 1} \: dx_{99}...dx_{1} }[/tex]
[tex]\small{ \displaystyle\tt = -\sum_{n = 1}^{ \infty \frac{}{} \frac{}{} } \frac{1}{n}\int_{0}^{1} \int_{0} ^{ x_{1}} }[/tex]
[tex]\displaystyle \tt= - \frac{1}{(100)!_{} } \sum_{n = 1}^{ \infty } \frac{(n - 1)!(100)!}{(n + 101)!}=−(100)!1n=1∑∞(n+101)!(n−1)!(100)![/tex]
[tex]\displaystyle \tt= - \frac{1}{(100)!_{} } \sum_{n = 1}^{ \infty} \int_{0}^{1} {x}^{n - 1} (1 - x {)}^{100} [/tex]
[tex]\displaystyle \sf - \dfrac{1}{(100!)} \int_{0}^{1} \dfrac{(1 - x)^{100} }{1 - x} \:[/tex]
[tex]\displaystyle\tt { = - \frac{1}{(100)!} \int_{0}^{1} {x}^{99} \: dx=−(100)!1∫01x99dx}
[/tex]
Step-by-step explanation:
[tex]{ \pink{ \displaystyle\tt \int_{0}^{1} \int_{0} ^{ x_{1}} } \sf \pink\int_{ 0 }^{x_{2}... \int_{ 0 }^{x_{99}}} ln(1 -x_{100} ) dx_{100}... dx_{1}}[/t
︎︎︎︎︎︎︎
Goal 1000 points
What is 3/1,000 as a decimal
Answer: 3/1000 as a decimal is 0.003.
Explanation;
3/10 = 0.3
0.3/10 = 0.03
0.03/10 = 0.003
What property is -5(-9x^2+8)+20=10x^2-15
Answer:
distributive?
Step-by-step explanation:
-5(-9x^2+8)+20=10x^2-15
simplify both sides
45x^2-20=10x^2-15
35x^2=5
x^2=1/7
x=1/sqrt(7)
distributive?
Choose which diagram
The value of the function f(x) = 5x +7 at 3 is
Answer:
22
Step-by-step explanation:
Substitute x = 3 into f(x) , that is
f(3) = 5(3) + 7 = 15 + 7 = 22
1. 6 km = ___ m
2. 8m = _____ km
3. 1dL = _____ mL
4. 30 kg = ____ g
5. 34 mg = ____ g.
!!!!!!!
Answer:
[tex]1)6000m \\ \\ 2)0.008km \\ \\\ 3)100ml \\ \ \\ 4)30000g \\ \\ 5)0.034g[/tex]
MARK ME AS A BRAINLIST PLZ
Six players compete in a tournament. Each player plays exactly two
games against every other player. In each game, the winning player
earns 2 points and the losing player earns 0 points. If the game results in
a draw (tie), each player earns 1 point. What is the minimum possible
number of points that a player needs to earn in order to guarantee that
he/she will be champion (i.e he/she has more points than every other
player)?
Step-by-step explanation:
6 players.
every player plays 2 games against every other player.
so, for each player there are 5 "other players" and everybody plays therefore 10 games.
the maximum number of points to get is 10×2 = 20 points.
the question is now not what is the minimum number of points a champion can have.
the question is rather what is the minimum number of points to guarantee the win of the championship no matter how the others played.
so, the study case scenario for the winner is to have only one real competitor for the title.
both players win every game against the other 4 players.
that is already 2×4×2 = 16 points.
and now it all depends on the 2 games against each other. to be sure, the winner needs at least 1 win and 1 tie in these 2 games. that are 3 more points.
so, to be absolutely sure, the champion needs to have at least 16+3 = 19 points.
The minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Every player plays 2 games against every other player.
Then there will be 5 players left who will 10 games
So, the maximum number of points = 10*2 = 20
winning player earns 2 points
as, both players win every game against 4 players.
which gives = 2×4×2 = 16 points.
Now, in remaining two game the winner needs at least 1 win and 1 tie
which needs 3 more points.
Hence, the minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.
Learn more about unitary method here:
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Given: measure 1, measure 2, measure 3, and measure 4 formed by two intersecting segments Prove: measure 1 and measure 3 are congruent. NEED HELP ASAP!!
Step-by-step explanation:
Note:The text below that are formatted in bold and underlined font are the solutions to the missing boxes in your given problem.
Explanation:Given that ∠1, ∠2, ∠3, and ∠4 are formed by two intersecting segments, and that:
∠1 and ∠2 form a linear pair
∠2 and ∠3 form a linear pair
These linear pair relationships suggest that by the Linear Pair Postulate:
∠1 and ∠2 are supplementary. ⇒ Linear Pair Postulate
∠2 and ∠3 are supplementary. ⇒ Linear Pair Postulate
m∠2 + m∠ 3 = 180° ⇒ Definition of supplementary angles.
m∠1 + m∠3 = m∠2 + m∠ 3 ⇒ Substitution Property of Equality.
m∠1 = m∠3 ⇒ Subtraction Property of Equality.
What is .7899 rounded 4 decimal places
A standard elevator in a midrise building can hold a maximum weight of about 1 3/4 tons. Assuming an average adult weight of 124 pounds, what is the maximum number of adults who can safely ride the elevator?
Answer: 28 adults
Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28