Answer:
μX = the mean of X
σX = the standard deviation of X
If you draw random samples of size n, then as n increases, the random samples
¯¯¯¯¯
X
which consists of sample means, tend to be normally distributed.
¯¯¯¯¯
X
~ N (
μ
x
,
σ
x
√
n
)
The central limit theorem for sample means says that if you keep drawing larger and larger samples (such as rolling one, two, five, and finally, ten dice) and calculating their means, the sample means form their own normal distribution (the sampling distribution). The normal distribution has the same mean as the original distribution and a variance that equals the original variance divided by, the sample size. The variable n is the number of values that are averaged together, not the number of times the experiment is done.
To put it more formally, if you draw random samples of size n, the distribution of the random variable
¯¯¯¯¯
X
, which consists of sample means, is called the sampling distribution of the mean. The sampling distribution of the mean approaches a normal distribution as the sample size n increases.
The random variable
¯¯¯¯¯
X
has a different z-score associated with it from that of the random variable X. The mean
¯¯¯
x
is the value of
¯¯¯¯¯
X
in one sample.
z =
¯¯¯
x
−
μ
x
σ
x
√
n
μ
x
=
μ
¯¯¯
x
(mean of X = mean of
¯¯¯¯¯
X
. )
σ
¯¯¯
x
=
σ
x
√
n
= standard deviation of
¯¯¯¯¯
X
and is called the standard error of the mean.
Step-by-step explanation:
sorry if its hard/ confusing
Which quadrant would contain the point (-1, -3)?
Answer:
3
Step-by-step explanation:
Quadrants are 1 to 4 going counter clockwise, when you plot those points they are in the lower left which is quadrant 3.
Ali’s cow gives 2 1/4 gallons of milk each day. How much is this in quarts? Write your answer as whole number or a mixed number In simplest form. Include the correct unit in your answer.
Answer:
9 quarts
Step-by-step explanation:
A jacket is on sale for 20% off. The
original price is $60. What is the new
price? Show your work.
Answer:
New price = $48
Step-by-step explanation:
New price = Original price - (original price × 20%)
New price = $60 - ($60 × .20)
New price = $60 - $12
New price = $48
Or If the jacket is 20%, you will pay 80% of the cost.
So Original price × the percentage that you paid = New price
$60 × 80% = New price
$60 × .80 = $48
Help help help help help help
Answer:
This is 0.8 to the nearest tenth.
Step-by-step explanation:
FYI, to round to the nearest tenth, look at the second number after the decimal point. If it is 5 or more then round the first number after the point up one e.g.. If the answer was 0.850375,you round up which is 0.9 to the nearest 10th.
If the second number after the decimal point is less than 5 (in this case) you round down to 0.8. (BRAINLIETS PRETTY PLEASEEEE OvO)
Which irrational number is represented by point D? A) V175 B) V250 ) 1392 D) 440
Answer:
c that is the answer yes .
Answer:
Step-by-step explanation:
c i took the k121 online quiz in progress learning
Please look at picture for question.
Answer:
2/5m - 1/5
Step-by-step explanation:
Yesterday, Chris had m baseball cards. Today, he gave 18 away. Using m, write an expression for the number of cards Chris has left.
m-18
(MARK ME BRAINLIEST PLS I WILL GET NEW RANK(ACE) Pls))Write as a fraction
3÷151
Answer:
3/151
Step-by-step explanation:
That's the answer
y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence relation that the coefficients must satisfy
Let
[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots[/tex]
Differentiating twice gives
[tex]\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots[/tex]
[tex]\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n[/tex]
When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.
Substitute these into the given differential equation:
[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0[/tex]
Then the coefficients in the power series solution are governed by the recurrence relation,
[tex]\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}[/tex]
Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.
• If n is even, then n = 2k for some integer k ≥ 0. Then
[tex]k=0 \implies n=0 \implies a_0 = a_0[/tex]
[tex]k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}[/tex]
[tex]k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}[/tex]
[tex]k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]
It should be easy enough to see that
[tex]a_{n=2k} = \dfrac{a_0}{(2k)!}[/tex]
• If n is odd, then n = 2k + 1 for some k ≥ 0. Then
[tex]k = 0 \implies n=1 \implies a_1 = a_1[/tex]
[tex]k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}[/tex]
[tex]k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}[/tex]
[tex]k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}[/tex]
so that
[tex]a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}[/tex]
So, the overall series solution is
[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)[/tex]
[tex]\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}[/tex]
9 ⋅ (−4) ⋅ (−4) ⋅ (−7) = ?
20 pts
brainlyiest if correct
Answer:
The answer is -1008, it's in the comments
What is 1/3÷1/2 math answers?
Answer:
= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Result in decimals: 0.66666666666667
x = mutiply
[tex]=\frac{1}{3} x\frac{2}{1}[/tex]
[tex]\frac{1 x 2}{3 x 1 }[/tex]
= [tex]\frac{2}{3}[/tex]
(Hope this helps can I pls have brainlist (crown)☺️)
What are the zeros of the polynomial function f(x)=(x−2)(x+4)(x−5)?
Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]
2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]
(a) Write an equation of the line that passes through the point and is parallel to the given line.
(b) Write an equation of the line that passes through the point and is perpendicular to the given line.
9514 1404 393
Answer:
parallel: y = x -1perpendicular: y = -x -3Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
9514 1404 393
Answer:
parallel: y = x -1
perpendicular: y = -x -3
Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
What equation represents this graph?
express (25 1/2) ^3 in simplest radical form
Step-by-step explanation:
i think this is the answer if it's wrong I'm sorry
Which is the best estimate of the product 3,780 × 2?
Answer:
8000
Step-by-step explanation:
A racing car consumes a mean of 85 gallons of gas per race with a standard deviation of 7 gallons. If 39 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 3 gallons
Answer:
33.20% probability that the sample mean would differ from the population mean by greater than 1 gallon
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation
Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode
Outliers are usually large or very low values, and they always affect the mean of the dataset.
Also, they affect the range of the dataset.
The standard deviation is dependent on the mean of the dataset.
This means that, outliers would also have effects on the standard deviation.
However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.
Hence, the true options are mode and median
Read more about outliers at:
https://brainly.com/question/23461655
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
solve the literal equation for x ax=bx-c
Answer:
Collect terms in x on the left side
subtract
b
x
from both sides
a
x
−
b
x
=
−
c
take out a
common factor
x
x
(
a
−
b
)
=
−
c
divide both sides by
a
−
b
x
=
−
c
a
−
b
Step-by-step explanation:
im sorry if its not cleear to explain
A copy machine makes copies 32 per minute. How long does it take to make 168 copies
Answer:
5.25m
Step-by-step explanation:
32 papers will make in 1 minute
(168 copies/32copies)×1min = 5.25m
1. Andrea’s car has broken down for the third time this month, and she has decided to buy a different car. Her dream car, a 2016 Chevrolet Camaro, costs $38,000. She has a $4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars.
a. How much will Andrea need to borrow to buy the Camaro?
b. What would Andrea need to type in Excel to figure her monthly payment, and what will her monthly payment be?
c. What will the total of all of Andrea’s payments be over the lifetime of the car loan?
d. How much will Andrea pay in interest over the lifetime of the car loan?
A) Andrea will need to borrow $34,000 to buy the Camaro
B) Andrea will need to type =(34000x1.03 ^ 5) / 60 in Excel to figure her monthly payment, which will be $656,92.
C) The total of all of Andrea’s payments be over the lifetime of the car loan will be $39.415,31
D) Andrea will pay $5415.31 in interest over the lifetime of the car loan
Since Andrea's car has broken down for the third time this month, and she has decided to buy a different car, and her dream car, a 2016 Chevrolet Camaro, costs $ 38,000, and she has a $ 4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars, to determine A) how much will Andrea need to borrow to buy the Camaro; B) what would Andrea need to type in Excel to figure her monthly payment from her, and what will her her monthly payment be from her; C) what will the total of all of Andrea’s payments be over the lifetime of the car loan; and D) how much will Andrea pay in interest over the lifetime of the car loan, the following calculations must be performed:
A) 38000 - 4000 = X 34000 = X
B) = (34000x1.03 ^ 5) / 6039.415,31 / 60656,92C) 34000 x 1.03^5 = X34000 x 1.1592 = X39.415,31 = XD) (34000 x 1.03^5) - 34000 = X(34000 x 1.1592) - 34000 = X39415.31 - 34000 = X5415.31 = X
Learn more in https://brainly.com/question/14295570
Find the first partial derivatives of the function.
z = (6x + 2y)^9
dz/dx=
dz/dy=
If z = (6x + 2y)⁹, then the partial derivatives of z are
• with respect to x :
∂z/∂x = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂x
∂z/∂x = 9 (6x + 2y)⁸ • 6
∂z/∂x = 54 (6x + 2y)⁸
• with respect to y :
∂z/∂y = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂y
∂z/∂y = 9 (6x + 2y)⁸ • 2
∂z/∂y = 18 (6x + 2y)⁸
Last year, Dante had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account
that paid 8% simple interest per year. After one year, he received a total of $730 in interest. How much did he invest in each account?
a = amount invested at 7%
b = amount invested at 8%
we know that total that he invested was 10000, therefore a + b = 10000.
hmmm how muich is 7% of "a"? well (7/100) * a => 0.07a.
how much is 8% of "b"? well (8/100) * b => 0.08b.
After a year he received in interest $730, so we know that at simple interest rate, 0.07a + 0.08b = 730.
[tex]\begin{cases} a+b=10000\\ 0.07a+0.08b=730\\[-0.5em] \hrulefill\\ b = 10000 - a \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{0.07a+0.08(10000-a) = 730} \\\\\\ 0.07a+800-0.08a=730\implies 0.07a-0.08a=-70\implies -0.01a=-70 \\\\\\ a=\cfrac{-70}{-0.01}\implies \boxed{a = 7000} ~\hfill \stackrel{\textit{we know that}}{b = 10000 -a}\implies \boxed{b = 3000}[/tex]
please answer fully ?/'//////////////////////
Answer:
(saving my answer for the question)
what is the problem?
Step-by-step explanation:
Why can’t I get points guys it won’t give me any
Answer:
u gotta answer
Step-by-step explanation:
choose a random question and answer it :)
12Q. Sweeti covered 2/7 of the running track by walking and rest by running and the length of the track is 630 m. Find the distance covered by running ?
Step-by-step explanation:
Given that :
Total length of the track = 630 m
Distance covered by Sweeti by walking = 2/7 of the running track
2/7 of 630 m
⇛ (2/7)×630
⇛ (2×630)/7
⇛ 1260/7
⇛ 180 m
Distance covered by walking = 180 m
Remaining distance =
Total distance - Distance covered by walking
⇛630 m - 180 m
⇛ 450 m
The total distance covered by running by Sweeti is 450 m.
Read more:
Similar Question
You can burn about 450 calories if you run 5 miles. How many miles will you need to run to burn 630 calories? Justify your reasoning.....
https://brainly.com/question/20123561?referrer
Will give brainliest to whoever helps pls
Answer:
for me the picture is blurry sorry
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
Help ASAP!!! Pls and thx
Answer:
ture
Step-by-step explanation: