A set of data is normally distributed with a mean of 327 and a standard deviation of 27.
What percentage of the data is below 357?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
Answers
Answer:
86.7%
Step-by-step explanation:
For questions regarding values related to a normal distribution, a suitable calculator is required. Numerous calculators, apps, web sites, and spreadsheets are capable of answering this question.
__
One standard deviation above the mean is 327 +27 = 354, so the value is expected to be slightly more than 50% +34% = 84%. It is no surprise, then, that a calculator tells you 86.7% of the data is below 857.
_____
Additional comment
The "empirical rule" tells you 68% of the area is within 1 standard deviation of the mean. The distribution is symmetrical, so half that, 34%, is between the mean and 1 standard deviation above the mean. Of course, 50% of the data is below the mean.
Related Questions
The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during 4 -minute time interval?
In 4 -minute time interval a minute hand moves __ degrees.
Answers
Step-by-step explanation:
oh, come one ! you can literally see that one ...
a full rotation on a clock is a full circle and stands therefore for 360°.
for the minute hand these 360° represent 60 minutes.
4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.
4/60 = 1/15
360 × 1/15 = 24°
so, 4 minutes represent 24°.
Answer:
Wow no reasonable explanaition for why you don't know this answer but here it is.
360*
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
Answers
Answer:
Step-by-step explanation:
Y-intercept is -2.
Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.
Plugging into slope-intercept form:
y=mx+b => y=2x-2
Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2
Answers
Using the vertical asymptote of the function, it is found that it is given by:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).
The graph has one vertical asymptote at x=2, hence the denominator is x - 2.
Hence:
[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]
The y-intercept of the graph is y=−3, hence:
[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]
[tex]-4a = 6[/tex]
[tex]a = -1.5[/tex]
Thus, the function is:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
Put these numbers in order from least to greatest "-5" 13 4 10 "-1"
Answers
Answer:
-5, -1, 4, 10, 13
Step-by-step explanation:
the larger the negative, the smaller the number
3. The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
18.99%
22.63%
1.31%
29.73%
Answers
The maximum error of estimate with a sample of 300 cell phones is 29.73%
Determining maximum error estimateThe formula for calculating the maximum error of the estimate is expressed as:
ME = √0.25/n
n is the total sample
Given the following parameters
n = 300
Substitute into the formula to have:
ME = √0.25/n
ME = √0.25/300
ME = 0.2973
ME = 29.73%
Hence the maximum error of estimate with a sample of 300 cell phones is 29.73%
Learn more on maximum error here: https://brainly.com/question/13370015
The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
Answer:
29.73%
If the perimeter of the triangle shown below is 48x + 9, what is the length of the missing side? 4x+2 3x – 9 NEED ANSWER ASAP
Answers
Answer:
41x+16
Step-by-step explanation:
4x+2+3x-9+c=48x+9. You can move all the things you know to the other side.
c= 48x-4x-3x-2+18
c=41x+16
dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer
Answers
Answer: 24.34 is his balance.
Step-by-step explanation:
Factor the expression. x2 – 10xy + 24y2
A) (x – 6y)(x – 4y)
B)(x + 6y)(x + 4y)
C)(x + 2y)(x – 12y)
D) (x – 2y)(x + 12y)
Answers
A: ( x - 6y)(x - 4y)
Find the range of the relation.
O {-4, -3, -2, -1, 0, 1, 2, 4)}
O {-4, -2,0, 2, 4)}
O {-4,4)}
O {-3, -2, -1, 0, 1)}
Answers
Answer:
largest number -smallest number
Find a root of the Equation, x2 − 4x −10 = 0 using bisection method.
Answers
Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
What is the Bisection Method?The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.
Given the equation:
x² - 4x - 10 = 0.
Applying the bisection method, we would have the following:
x² - 4x + (2²) - (2²) - 10 = 0
(x - 2)² - 14 = 0
Add 14 to both sides
(x - 2)² = 14
Take the square root of both sides
x - 2 = ±√14
x = 2 ± √14
x = 2 - √14 = -1.74
or x = 2 + √14 = 5.74
Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
Learn more about bisection method on:
https://brainly.com/question/13314803
In January 2011 the rate of VAT increased from 17.5% to 20%.
Work out the difference in price of a car worth £17000 + VAT
due to the increase in VAT.
Answers
Answer: Attributed to the increase in VAT, the change in cost of a car worth RS 15000+VAT is Rs 375.
Step-by-step explanation:
what is 10/9 in a fraction
Answers
This kinds of fractions called improper fractions
The rule is
p/q is a rational number and p>qWe can turn it into mixed fraction
10/91-1/9Ved drew the shape below by combining exactly 3 triangles of the same size and shape
Answers
The area of each triangle is (1/3) of the area of the whole shape.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
Ved drew the shape below by combining exactly 3 triangles of the same size and shape.
Hence:
Combined area = sum of each area = 3 * area of each triangle
The area of each triangle is (1/3) of the area of the whole shape.
Find out more on area at: https://brainly.com/question/25292087
Jon mixed 3 cups of pineapple juice with 5 cups of
mango juice to make fruit punch.
Complete the equation below to represent the
relationship between the number of cups of
pineapple juice, p, and the number of cups of mango
juice, m.
p=
Answers
Answer:
p = 5/3m
Step-by-step explanation:
The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:
3p = 5m
divide both sides by 4
p = 5/3m
This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.
Hope this helps!
Brainiest always helps me out :)
NEED HELP ASAP!!!
On a coordinate plane, sketch the graphs. y=|x| , y=|x+3| , and y=|x-2|
Answers
Answer:
Step 1. Plot x-intercept
Step 2. Plot y-intercept
Step 3. Connect dots
y = |x|
x-intercept = (0,0)
y-intecept = (0,0)
y = |x + 3|
x-intercept = (-3,0)
y-intecept = (0,3)
y = |x - 2|
x-intercept = (2,0)
y-intecept = (0,2)
BRAINLIEST please if this helped!On the 11th of March, 2011, an earthquake along the eastern shore of Japan caused a tsunami, which
then damaged a nuclear power plant. Several radioactive elements were released into the air and ocean.
Use an exponential decay formula to model how long some of these elements can be expected to persist
in the environment.
4. Cesium-137 has a decay constant of
0.0231 (a 30 year half-life). If 20
pounds of cesium-137 were released
into the Pacific Ocean by the tsunami,
how much will still be there ten years
later?
5. Strontium-90 has a decay constant of
0.0248 (a 28 year half-life). If 80
pounds of strontium-90 were
released into the Pacific Ocean by the
tsunami, how much will be left in 75
years?
6. When strontium-90 decays, it transforms into yttrium-90, which has a half-life of
only 64 hours, (0.007302 years). If the decay constant of yttrium-90 is -94.93,
what percentage of a one-pound sample will be left after one month ( of a
year)?
Answers
The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.
What is radioactivity?Radioactivity refers to the sponteanous decay of a substance. We have the formula;
N(t) = Noe^-kt
Where;
N(t) = amount of radioactive material left after time t
No = amount of radioactive material initially present
k = decay constant
t = time taken
Let us now solve the questions individually;
a)
No = 20 pounds
N(t) = ?
k = 0.0231
t = 10 years
N(t) = 20e^-(0.0231 * 10)
N(t) = 16 pounds
b)
No = 80 pounds
N(t) = ?
k = 0.0248
t = 75 years
N(t) =80e^-(0.0248 * 75)
N(t) = 12.45 pounds
Learn more about radioactivity: https://brainly.com/question/15289741?
can someone help me with this pls?
Answers
Scale factor = 1/2.
So, each co ordinate should be divided by 2
( -2/2 , -5/2) = (-1,-2.5)
Then this is reflected over y-axis.
When reflected by y axis, there will be no change in y coordinate but sign of x will change. After reflection (-x, y)
A’(1,-2.5)
Resulting set please help !!!!
Answers
The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
The given set is U(a,e,i,o,u), in which,
[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]
[tex]X\cup Y[/tex]For the union, write all the terms of X and Y set.
[tex]X\cup Y=(a,e,i,o,u)[/tex]
[tex]X\cap Z[/tex]For the intersection, write all the common terms of X and Z set.
[tex]X\cap Z=(i,o)[/tex]
[tex]X\cap Y\cap Z[/tex]For the intersection, write all the common terms of X , Y and Z set.
[tex]X\cap Y\cap Z=(o)[/tex]
Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
Learn more about the ordered pair here;
https://brainly.com/question/5754926
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A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale
Answers
Answer:
Step-by-step explanation:
Multiplying the sales amount of 500$ and the commision rate of 6% results to
500(0.06)
=30.
Alissa surveys a random sample of 50 students at her school about the country
they would most like to visit. The table shows her results. Based on the sample,
can Alissa conclude that there are probably fewer students at her school who
want to visit Japan than Australia? Explain your reasoning.
There are two problems please help
Answers
Answer:
1. Alissa can conclude that there are fewer students at her school that want to visit Japan (7) than Australia (13)
I'm not sure about the 2nd question so you can use it if you want or just wait if someone else gives a different answer
2.
25 × 0.52 = 13 pets that don't have a home
25 - 13 = 12 pets that have a home
Pets that don't have a home is more than the pets that have a home
The statement is not misleading
Two cards are chosen at random without replacement from a pack of 52 playing cards. If the first card chosen is an Ace, what is the probability the second card chosen is a King?
Answers
Answer:
4/52 or 1/13
Step-by-step explanation:
Answer:
the probabilyy of that will probably be the probability of that question porbably speaking about probability
Help help math math math
Answers
Answer:
the answer to your question is -27
-27
Solution:All we have to do here is subtract:-19-8Think of it as 19+8:27Now, put the minus sign next to 27:-27Hope it helps.
Do comment if you have any query.
Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30
Answers
Answer:
D. $30
Step-by-step explanation:
All you have to do is multiply 15 by 2 and you'll get 30.
Option c
Explanation:
Check out the work I’ve attach
Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)
An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here
Answers
Answer: side
Step-by-step explanation:
Khan Academy Volume of Sphere Answers!!!
Answers
Explanation:
The N stands for Pi so when you type in the answers to Khan Academy use the Pi symbol when theres an N! These are the common questions and common radius Khan Academy gives when they ask to find the radius of the circle.
Answers:
For 4 - 267.95
For 1/4 - 1/48n
For 1 - 4/3n
For 9 - 972n
For 7 - 1372/3n
For 6 - 288n
For 3 - 36n
For 10 - 4000/3n
For 8 - 2048/3n
For 1/2 - 1/6n
For 5 - 500/3n
For 2 - 33.49
Step-by-step explanation:
I did the go math so all of these rights and the majority of the answers are the questions Khan Academy will ask you to find the radius of the circle.
When comparing debit cards to credit cards, which statement is TRUE?
A) Both debit cards and credit cards can improve a credit score.
B) Debit cards make it easier to fall into debt than credit cards.
C) Debit cards are more secure than credit cards for online purchases.
D) Debit cards make tracking day-to-day spending easier than credit cards.
Answers
The TRUE statement that compares debit cards to credit cards is D) Debit cards make tracking day-to-day spending easier than credit cards.
What are debit and credit cards?Debit cards are payment cards linked to the holder's bank account. Payment transactions are automatically deducted from the account.
Debit cards depend on the holder's bank balance to make payments, unlike credit cards that give access to borrowing money for purchases so that repayment may be made later.
Thus, the main difference between debit cards and credit cards is that debit cards make the holder accountable for their spending while credit cards give access to credit borrowing.
Learn more about debit and credit cards at https://brainly.com/question/4515861
Help picture below problem 11
Answers
Answer:
Missing Angle = 26⁰ ( corresponding angles )
If (x, 42) is a solution to the equation y = -6 (x – 15) – 3, find x
Answers
Put y and find x
y=-6(x-15)-342=-6(x-15)42+3=-6(x-15)45=-6x+90-6x=-45x=45/6x=15/2Factor into linear factors: [tex]x^{2} +16[/tex]
Answers
[tex]~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)[/tex]
Answer:
(x + 4)(x + 4)Step-by-step explanation:
Given expression:
x² + 16Clearly, 16 is a perfect square as 4 x 4 is 16.
Thus, this expression can be written as:
⇒ x² + 16⇒ x² + 4²Using the formula "a² + b² = (a + b)(a + b)"
⇒ x² + 4² ⇒ (x + 4)(x + 4)
Select the correct answer.
What term is used to describe a metropolitan area that spreads out to include several cities?
O A. suburb
O B. megalopolis
OC. freeway
OD. urban core
Answers
Answer:
B. megalopolis
Step-by-step explanation:
Hope it helps you in your learning process.
