A certain length measurement is performed 500 times. The mean value is 5.0m, and the standard deviation is 2cms. Assuming a normal distribution for the error in the measurement, how many readings fall within 5.15cm of the mean value
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
What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx
Answer:
45 5+[5(4+2)]?
Step-by-step explanation:
i hope is helped:)
a rectangle measures 5 feet by 10 feet. what is the perimeter in yards
Answer:
10 yards
Step-by-step explanation:
10 + 10 + 5 + 5 = 30 feet
30 feet = 10 yards
Robert earns $498.00 for 40 hours of work. How much does he earn if works 30 hours at the same pay rate? Do not round your answer.
Answer:$373.50
Step-by-step explanation:
$498.00 divided by 40 is 12.45
12.45 times 30 is $373.50
One card is selected at random from a deck of card. Determine the probability that card selected is not a 7( simplify your answer)
Answer:
P(~7) = 12/13
Step-by-step explanation:
There are 4 sevens in a normal deck of cards.
Therefore there are 48 cards out of 52 that are not 7.
P(~7) = 48/52 simplified, it is 12/13
help me please 5 points
Answer:
-12
Step-by-step explanation:
The temperature in antartica is 20 degrees below freezing at night. During the day, the temperature increases
by 30 degrees. What is the daytime temperature?
Answer:
42
Step-by-step explanation:
Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?
well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.
[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]
A square hole 7.50 cm along each side is cut in a sheet of copper. (a) Calculate the change in the area of this hole resulting when the temperature of the sheet is increased by 49.0 K. cm2(b) Does this change represent an increase or a decrease in the area enclosed by the hole
Answer:
it increases the the hole
Step-by-step explanation:
Can I get help please....
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answer:
2 fruits
Step-by-step explanation:
That's because bananas and pears are two different fruits
Answer:
1 7/20 pounds
Step-by-step explanation:
3/4 + 3/5
Use common denominator of 20
15/20 + 12/20
Add numerators
27/20
Reduce
1 7/20 pounds
Find the difference between 11/5 and 5/2 on a number line
9514 1404 393
Answer:
-3/10
Step-by-step explanation:
11/5 plots on a number line at 2.2
5/2 plots on a number line at 2.5
The distance between these points is 2.5 -2.2 = 0.3.
__
If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.
Can you help me solve this please.
Answer:
23
Step-by-step explanation:
First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.
[LARGE RECTANGLE]
A = w * l = 2 * 5 = 10 ([tex]units^{2}[/tex])
[SMALLER TRIANGLE]
A = w * l = 3 * 2 = 6 ([tex]units^{2}[/tex])
[QUARTER CIRCLE]
A * [tex]\frac{1}{4}[/tex] = πr² * [tex]\frac{1}{4}[/tex] = 3 * 3 * π * [tex]\frac{1}{4}[/tex] = 7 ([tex]units^{2}[/tex])
I went to many other places, I saw their answers and turns out the only answer I searched up was wrong!
Answer:
I understand how that feels
Step-by-step explanation:
Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
-11 boys -6 girls
Step-by-step explanation:
Is 0.225 a rational number?
Answer:
Maybe
Step-by-step explanation:
maybe
Answer:
yes because it can be written as a fraction 225/1000
Write the equation (y=mx+b) that represents the relationship show on the graph.
Answer:
y= 3x + 4
Step-by-step explanation:
yeah-ya....... right?
It takes 6 fruit pickers 18 hours to pick a field of fruit. How long would it take 8 fruit pickers to pick the same field.
Time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.
What is time?" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."
According to the question,
Time take by [tex]6[/tex] fruit pickers to pick the fruit from the field [tex]= 18[/tex]hours
As per the given situation we have,
Time taken by[tex]8[/tex] fruit pickers to pick the fruits of the same field
[tex]=\frac{(6)(18)}{8}[/tex]
[tex]=13.5[/tex]hours
Hence, time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.
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A farmer wants to increase the area of His rectangular pen but keep the pen a rectangular shape. He decides to a 5.7 yards of fencing
to the width of the pen but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Which can be used to determine the original width of the pen?
5.7 (W+9.5) = 77.9
S95219
9.5 (W + 5.7) = 77.9
Using the equation for the area of a rectangle, the original width of the pen is determined by:
9.5 (W + 5.7) = 77.9
The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem:
Increases the width by 5.7 yards, hence [tex]w = w + 5.7[/tex], in which w is the original width.The length remains at 9.5 yards, hence [tex]l = 9.5[/tex].The area is of 77.9 square yards, hence [tex]A = 77.9[/tex]Then:
[tex]A = lw[/tex]
[tex]9.5(w + 5.7) = 77.9[/tex]
For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198
Can someone put an answer for each box plzzzz.
You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of observing:
a. an odd number?
b. a number greater than 2?
c. a number less than 7?
d. a prime number?
Answer:
a. P(O) = ¹/₂ = 0.5
As a percentage, this is 50%
b. P(> 2) = ²/₃ = 0.666...
As a percentage, this is 66.6...%
c. P(< 7) = 1
As a percentage, this is 100%
d. P(prime) = ¹/₂ = 0.5
As a percentage, this is 50%
Step-by-step explanation:
a.
1, 3 and 5 are odd, 3 of the outcomes
2, 4 and 6 are even, 3 of the outcomes
So, 3 of the 6 possible outcomes are odd and 3 are even;
Thus, the probability of an odd roll is ³/₆ (and the same applies to even);
This can be simplified to ¹/₂
b.
3, 4, 5 and 6 are the outcomes > 2;
1 and 2 are the outcomes ≤ 2;
So, 4 of the 6 possible outcomes are > 2;
Thus, the probability of rolling < 2 is ⁴/₆;
This can be simplified to ²/₃
c.
All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;
This means the probability of rolling less than 7 is ⁶/₆, or simply 1
d.
Prime numbers: 2, 3, 5, 7 ...
The possible prime number outcomes are 2, 3 and 5;
3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂
Solve the equation: q –10 = -10
Answer:
No solution
Step-by-step explanation:
The co-efficient, in this case the - 10s, cancel each other out, leaving just q
cosθ(tanθ + cotθ) =
• cscθ
• secθ
• cos^2θ
• 1
Answer:
ayo i think is ufo trying to communicate hey alien we come in peace
Step-by-step explanation:
[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]
She calculates the percentage of applicants in her sample that are in poverty. Is this percentage a parameter or a statistic, and why
Answer:
A statistic
Step-by-step explanation:
This is because she only examined the applications that she selected.
The given percentage represents statistic.
What is percentage?
" Percentage is defined as the hundredth part of a given quantity."
According to the question,
Given,
Collection of data applicants in form of sample
Percentage calulation based on sample
Parameter : Parameter represents the data of whole population, here she collects sample.
parameter is not the correct answer.
Statistic : Statistic represents the sample of the data and she has calculated percentage of the sample.Statistic is the correct answer.
Hence, the given percentage represents statistic.
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Which of the following best describes a ratio?
Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option
A. A comparison of two numbers
A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8
Learn more on ratios:
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Review
Directions: What does each of the following mean? Write out in words and phrases.
Example: 7 - 12 means: seven minus twelve
1. 11 + t
2. 7rst
3. t - 17
4. (10)(n)
5. 15 * y
6. 4x
7. a + b
8. 14x + 3y
Answer:
1. Eleven plus t
2. 7 times r times s time t
3. t minus seven
4. ten times n
5. fifteen times y
6. four times x
7. a plus b
8. fourteen times x plus 3 times y
Step-by-step explanation:
Hope this helps!
Answer:
1, eleven plus t
2, seven rst
3,t-17
........................
Can some help please
Answer:
9×10^16
Step-by-step explanation:
Only if the power is the same, you can just add the first numbers
You just need to combine.
The rule (a) = a tells us we can just remove the parenthesis.
2*10^16 + 7*10^16
That would equal to 9 x 10^16 because when adding exponents, you keep them the same.
2(x + 1) - 3x
howwwwwww
Answer:
a = -x + 2
Step-by-step explanation:
First, you must distribute to get 2x + 2 and adding in the -3x it equals 2x + 2 - 3x = a
Combine the like terms to get -x + 2 = a
Since there is 2 variables then the answer will stay a = -x + 2 because x or a must be substituted in order to find the other variable
Is 5.12 times 10n =512
Answer:
it is D
Step-by-step explanation:
I have to show you, but if I do it don't on the paper
i bought a new comic book at the comic book shoppe and paid enitrely using quarters. If I had paid using only dimes i would have needed to pay 9 more coins. how much did the comic book cost
The comic book cost $1.50.
A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.
The difference between $1.50 and .60 cents is .90 cents.
25 x 6 = 150 while 10 x 6 = 60 : 150 - 60 = 90
Hope this helps!!
see image above ^^^^
Triangle ABC was rotated 90 degrees counter clockwise to become triangle STU