Answer:
The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
62% of those people get some relief from taking ibuprofen (true proportion).
This means that [tex]p = 0.62[/tex]
Sample of 100
This means that [tex]n = 100[/tex]
A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
By the Central Limit Theorem, it is approximately normal with
Mean [tex]\mu = p = 0.62[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485[/tex]
please help
Describe what we should do to the graph if we have g(x) = x + a
Answer:
para saan po yarn anong grade
what is the domain of y=x^2-17
Answer:
The Vertex Form of a Parabola is:
g(x) = a(x - h)2 + k
vertex = (h, k)
rate = a (positive is up; negative is down)
a = -1/4 (downward parabola)
vertex = (17, 61)
There is no domain restriction.
Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.
Step-by-step explanation: hope this helped:/
I have 2 cupcakes but Jake has 7/4 as many as I do
102division3-(5of2+9-7)+2division1/2
Answer:
18
Step-by-step explanation:
ewan ko d ko alam hihihihi
Josh decided to purchase a
jacket for his mother that costs
$200.00. After paying a 6%
sales tax, how much will Josh
pay for the gift?
Answer
$212
Step-by-step explanation:
to get this answer, you must find what 6% of 200 is, which can be calculated using this little equation here
percentage/100 x original price = sales tax
6/100 x 200= 0.06 x 200= 12
this gives you the sales tax, or the amount of money that was added onto the original price, all that's left to do is to add, so original price + sales tax
200+12= $212
A survey asked 50 students if they play an instrument and if they are in band.
1.25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
Answer:
I believe it is D
Step-by-step explanation:
If I am correct please mark Brainlyiest
The table that shows these data correctly entered in a two-way frequency table is:
In Band Not in Band Total
Play 15 10 25
Do Not Play 5 20 25
Total 20 30 50
What is a two-way frequency table?A two-way frequency table is a way of organizing and displaying data that shows the frequency of occurrences of two categorical variables.
In such a table, the rows represent one variable, the columns represent the other variable, and the cells show the number (or frequency) of times that each combination of categories occurs.
We have,
A two-way frequency table shows how many times each combination of two categorical variables occurs.
In the table, the rows represent the "play an instrument" variable, the columns represent the "are in band" variable, and the totals are shown at the end of each row and column.
The entries in the table represent the frequency, or the number of students who belong to each combination of categories.
In this case, the two variables are "play an instrument" and "are in band". Based on the given information, we can create the following table:
Thus,
The table that shows these data correctly entered in a two-way frequency table is:
In Band Not in Band Total
Play 15 10 25
Do Not Play 5 20 25
Total 20 30 50
Learn more about two-way frequency here:
https://brainly.com/question/31189964
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Write an equation in slope-intercept form
of the line that passes through the point
(-12,6) and is perpendicular to the line
X= - 3/4y -5 ( What would be my first step to put that equation into slope intercept form?) 
Hint :-
The product of slopes of two perpendicular lines is -1 . The slope intercept form of the line is [tex] y = mx + c [/tex] .The point slope form of the line is [tex] m(x-x_1) = (y-y_1) [/tex]Solution :-
The given equation to us is ,
[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]
Convert it to slope intercept form we have ,
[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]
On comparing to the slope intercept form of the line we have ,
[tex]m = \dfrac{-4}{3}[/tex]As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,
[tex] m_{perp}= \dfrac{3}{4}[/tex]Now using slope point form rewrite the equation of the perpendicular line ,
[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]
At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items beast boy bought. Both beast boy and Cyborg paid the same amount of money. What was the individual cost of each person's items?
A: Write an equation. Let x represent the cost of one of beast boys items.
B: Solve the equation. Show your work
C: Check your solution. Show your work
D: What was the individual cost of each person's items? State the solution in complete sentences.
Answer:Bb 12. Cyborg 12
Step-by-step explanation:
Right for my test
The required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.
Given that,
At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items beast boy bought. Both beast boy and Cyborg paid the same amount of money.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Let the cost of the item bought by the beast boy is x, and the item bought by the Cyborg be y,
According to the question,
5x = 8y
x = 8/5y - - - - - - -(1)
y = x - 1.50 - - - - - -(2)
Substitute the value of equation 1 to equation 2
y = 8/5y - 1.50
5y = 8y - 7.50
7.50 = 3y
y = 2.5
Now, put y in equation 1
x = 8 / 5 × 2.5
x = 8 × 0.5
x = 4
Now, the costs,
5x = 4 × 5 = $20
8y = 8 × 2.5 = $20
Thus, the required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.
Learn more about simplification here: https://brainly.com/question/12501526
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Step by Step What do I do
Answer:
7:46
Step-by-step explanation:
The clock says 9:20. I am assuming that the question is related to the clock on the left. It asks for the time an hour and 34 minutes ago. One hour from 9:20 is 8:20. Now we work with the minutes. 8:20 minus 34 minutes is 7:46.
Answer:
7:46
Step-by-step explanation:
PLEASE HELP THIS DUE AT 12:00 PM
Answer:
a.
Scale Factor = 2
Reason:
Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.
I held their horizontal sides and compared them.
in case of A, the side is 2.5 and in case of B it's 5.
so, 5 divided by 2.5 gets you 2, that is the scale factor.
b.3, 5 (from left to right)
Solution:
[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]
this also means
[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]
Scale factor = 2Using this we'll get the answer to the question marks
The corresponding side to 1.5 is the vertical one in B.=> corresponding side in B = 2 × 1.5
= 3
(this is the first question mark in order from left to right)
The corresponding side to 2.5 is:= 2 × 2.5
= 5
c.53° and 37° (from top to bottom)
Solution:
Scaled shapes have the same angle measures.
Reason:
When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.
PLEASE HURRY NO LINKS PLEASEEEEEE
Answer:
64
Step-by-step explanation:
-4(m-n)^2
when m=3 and n=-1
-4(3-(-1))^2=
-4(3+1)^2=
-4(4)^2=
-4(16)=-64
correct answer is -64
please mark this answer as brainlist
fill the table using this function rule
y=-10x+3
Answer:
53, 13, 3, -7
Step-by-step explanation:
When x = -5,
y = -10(-5) + 3
= 50 +3
= 53
When x = -1,
y = -10(-1) + 3
= -10 + 3
= 13
When x = 0,
y = 3
When x = 1,
y = -10(1) + 3
= -7
Hope this helps.. Feel free to mark this as brainliest! :D
the product of two rational numbers is 9.6 if one rational number is 66/7. find the other rational number
Answer:
0.1714
Step-by-step explanation:
just substract 9.6 from 66/7 which will give u the other rational number.
then add both the rational numbers to check ur answer.
66/7 + 0.1714 = 9.6
To the nearest hundredth, 11.6/0.95 is about
Answer:
12.21
Step-by-step explanation:
(X-3)^2. Open this bracket
three numbers that are greater then 200 but lest the 300 that are divisible by 6 and 10
Answer:
260
Step-by-step explanation:
BRAINLIEST PLS
What is the probability of flipping a coin and
rolling a 12-sided dice at the same time, and
getting tails and a 9 or 5?
Answer:
3 million
Step-by-step explanation:
Because 3 Million looks nice
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
What is the constant of proportionality of the image shown below?
A. 1/2
B. 3/4
C. 1
D. 2
Answer:
D
Step-by-step explanation:
The proportions is 2
hope this helps
A squirrel in a tree drops in acorn. How long does it take the acorn to fall 40 feet. Help please
Answer:
60 ft
after subtracting the motor car
An item is priced at $14.29. If the sales tax is 5%, what does the item cost including sales tax?
Answer:3-5=787879. youu
Step-by-step explanation:
which relation is a function?
No answer choice was submitted. Please try again
A catering company charges $300 plus $40 per guest for a wedding, Sarah and Eric do not want to spend more than 55.000 on
catering. Write and solve aninequality in terms the number of guests, g, that can be invited.
A)
300 - 40g = 5000; 9 2 117
B)
300 - 400 = 5000; g = 118
300 + 40g = 5000; 95 117
D)
300 + 40g = 5000:9 $ 118
Answer:
6
Step-by-step explanation:
Solve for d.
Help is appreciated thank u!!
Answer:
d = 16.88
Step-by-step explanation:
Start by simplifying both sides of the equation then isolate the variable
Problem 7, please answer the following step by step.
(a) This is the same as computing 4⁵⁵ (mod 11). We have
4² ≡ 16 ≡ 5 (mod 11)
4³ ≡ 4 • 5 ≡ 20 ≡ 9 (mod 11)
4⁴ ≡ 4 • 9 ≡ 36 ≡ 3 (mod 11)
4⁵ ≡ 4 • 3 ≡ 12 ≡ 1 (mod 11)
Then from here,
4⁵⁵ ≡ (4⁵)¹⁰ • 4⁵ ≡ 1¹⁰ • 1⁵ ≡ 1 (mod 11)
(b) Each term in the sum
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
has a common factor of 4ⁿ, so this sum is the same as
4ⁿ (1 + 4 + 16 + 64 + 256) = 4ⁿ • 341 = 4ⁿ • 11 • 31
So the sum is indeed divisible by 11 for all integers n.
(c) Since 4ⁿ = (2ⁿ)², we know the sum is also divisible by 11 when a = 2.
Evaluate.
-18.6
-18.6
-1
Enter your answer in the box.
Answer:
18.6
Step-by-step explanation:
[tex] \frac{ - 18.6}{ - 1} = 18.6[/tex]
please mark this answer as brainlist
which expression is equivalent to -8m-8+3m-6?
-11m-2 -5m-2
-5m-14 or -16m-3
I need help!!!!
-8(6+X) + 4(2x + 7) = 0
Answer:
-20 = 0
Step-by-step explanation:
-8 (6 + x) + 4 (2x + 7) = 0
-48 - 8x + 8x + 28 = 0
-20 = 0
NEED HELP NOW PLEASE
A map has a scale of 1 centimeter:8 kilometers.
Use the given actual distance to find the distance
on the map: 16 km
Answer:
2cm
Step-by-step explanation:
GIven,
1 cm= 8km
1*2cm=8*2km
2cm=16km
HELP PLEASE!!Which lines in the graph have a slope greater than 1 but less than 2?
у
9
7
1
2.
3
5
6 5
ch
5
3
2
8
3
8
line 1
line 2
line 3
line 4
lines
Answer:
Line 3 and 4
Step-by-step explanation:
Plato
PPL PLZ HELP!! I WILL GIVE BRAINILEST!!!
Step-by-step explanation:
to find the answer, you want to convert the fractions into decimals.
to do that, you need to divide 1 by the denominato then multiply by the numerator.
ex: 3/4
1÷4=0.25
0.25×3= 0.75
That will give you an idea where to put it in the number line.
hope it helped