Answer:
x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Step-by-step explanation:
Consider a population of people who suffer occasionally from migraine headache. Suppose 62% of those people get some relief from taking ibuprofen (true proportion). To investigate the effectiveness of ibuprofen, a random sample of 100 people is obtained at random from this population. A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
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]
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
231 dollars
Step-by-step explanation:
216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231
brainliest plz
PLEASE HELP ME THANKS!
Answer:
i think it is B. x^ab, but i could be wrong
Step-by-step explanation:
pemdas so take
x^(a+b)
x^(ab)
x^ab
probably wrong
I need help with this
Answer:
sience -2 is to the left of 2
_
. 3
You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below shows the bedroom (left) and completed office (right). Use this diagram for Questions 3-6.
It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
Answer:
D. 75
Step-by-step explanation:
The cost to buy all of the crown molding for the bedroom would be $75.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.
Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.
Hence, cost to buy all of the crown molding for the bedroom = $75.
More can be learned about proportions at;
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Write an equivalent expression for 6( 4 + 2m) ?
Answer:
QUESTION:
Write an equivalent expression for 6( 4 + 2m) ?
ANSWER:
6(4+2m) = ?
6 X 4 = 24
6 X 2m = 12m
Final answer:
12m + 24
Step-by-step explanation:
Hope that this helps you out! :)
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What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = StartFraction 16 Over h squared minus 25 EndFraction?
Answer:Hi i think its 50 x 16= ur answer think about that hopes this helpp!!! :D
Step-by-step explanation:
Answer:
the answer is h=7
Step-by-step explanation:
What is the mean for the data shown in the dot plot? 4 5 6 10
Answer:
Mean = 6.25
Step-by-step explanation:
Data values: 4, 5, 6, 10
Mean = (Sum of all values)/(Number of values)
Mean = (4 + 5 + 6 + 10)/4
Mean = 25/4
Mean = 6.25
The mean for the data shown in the dot plot is 6.25.
The given data is 4, 5, 6 and 10.
We need to find the mean for the data shown in the dot plot.
What is the dot plot?A dot plot is used to encode data in a dot or small circle. The dot plot is shown on a number line that displays the distribution of numerical variables where a value is defined by each dot.
Now, mean = Sum of all the observations / Total number of observations
=(4+5+6+10)/4
=25/4
=6.25
Therefore, the mean for the data shown in the dot plot is 6.25.
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Which conic section is shown in the image?
A.
circle
B.
ellipse
C.
parabola
D.
hyperbola
Answer:
D. Hyperbola
Step-by-step explanation:
symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
In the given figure conic section is given.
What is conic section?A figure formed by the intersection of a plane and a circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
The given figure an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
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Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).
© 2020 StrongMind. Created using GeoGebra.
Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units
C - When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative
Which equation matches the table?
Answer:
Wait that makes no since but i would say 4 input and 28 input
Step-by-step explanation:
How do you write 20% as a decimal?
Answer:
the answer is 0.20 for 20%
Answer:
[tex] \bf \huge0.2[/tex]
Step-by-step explanation:
Given that :How do you write 20% as a decimal?to find :write in decimal form explanation :finding the decimal form of 20%
⟼ decimal form = 20%
⟼ decimal form = 20/100
⟼ decimal form = 2/10
⟼ decimal form = 0•2
∴ the decimal form of 20% is 0•2 .
How is the graph of the parent function y= hurrrr!!!x2 transformed to produce the graph of y= 3(x+1)2? It is translated 1 unit right and compressed vertically by a factor of 3. © It is translated 1 unit left and compressed vertically by a factor of 3. Olt is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
3.
Step-by-step explanation:
The graph is being moved to the left and then stretched by a factor of three. If it were to be compressed than the 3 would be 1/3.
The graph of the parent function is translated to 1 unit left and compressed vertically by a factor of 3.
Option B is the correct answer.
What is translation?It is the movement of the shape in left, right, up, and down direction.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The graph of the parent function y = x² can be transformed to produce the graph of y = 3(x + 1)² by translating it 1 unit to the left and stretching it vertically by a factor of 3.
Here's why:
The (x + 1) part inside the square means that the graph is shifted 1 unit to the left.
The exponent of 2 means that the graph is squared, just like the parent function.
The coefficient of 3 in front of the square means that the graph is stretched vertically by a factor of 3.
Therefore,
It is translated 1 unit left and compressed vertically by a factor of 3.
Learn more about translation here:
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The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?
A 18a^6b^2 units
B 136a^6b^2 units
C 152a^10b^6 units
D 1152a^10b^6 units
Answer:
A) 18a^6b^2
Step-by-step explanation:
area = width x length
length = area/width
144a^8b^4/8a²b^2 = 18a^6b^2
I got stumped on another one!
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
12.5%
Step-by-step explanation:
r = (1/4)((1500/1000) - 1) = 0.125
r = 0.125 = 12.5%
In the diagram below what is the measure of X round to the nearest whole number if necessary round your answer to the nearest 10th of a unit
Answer:
C. 12
Step-by-step explanation:
Find x by applying the leg rule.
The leg rule is given as:
Hypotenuse/leg = leg/part
Hypotenuse = 24
Leg = 17
Part = x
Plug in the value into the equation:
24/17 = 17/x
Cross multiply
24*x = 17*17
24x = 289
x = 289/24
x = 12.0416667 ≈ 12 (nearest tenth)
I need this equation in standard form
Answer:
-2x + y - 1 = 0
Step-by-step explanation:
Standard form is Ax + By + C = 0
2x + y = -19 indeedddddddddddddddddddddddddddddd
Which rectangle will have the largest area?
l = 6 cm, w = 5 cm
l = 6 cm, w = 7 cm
l = 4 cm, w = 10 cm
l = 9 cm, w = 4 cm
Help ASAP!!
Answer:
l = 6 cm, w = 7 cm
Step-by-step explanation:
I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?
Answer:
7.5 min for each assignment
Step-by-step explanation:
1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:
15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60
Or we could multiply one hour, or 60 minutes, by 3 /4 .
60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45
Three fourths of an hour is 45 minutes.
to find time for each assignment =45/6
7.5 min
Help me on this question please!
what is the mode for the following numbers 67 76 67 76 67 23 32 23 32
Answer:
67.
Step-by-step explanation:
67 appeared three times while everything else appeared only twice.
PLEASE HELP ME... I WILL GIVE BRAINLIEST TO CORRECT PERSON. ALSO THIS IS FOR EDGE
Answer:
C
Step-by-step explanation:
The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.
The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.
The section that is both under the dotted line and above the solid line is C.
A man purchased a used car for $5000 He decided to sell the car for 20% above his purchase price. He could not sell the car so he reduced his asking price by 20% of
he sells the car at the reduced price will he have a profit or a loss or will he break even?
Select the correct choice below and fill in any answer box to complete your answer
A. The man will have a profit of __
B. The man will break even
C. The man will have a loss of 5__
In a sequence of numbers, a4=3, a5=5, a6=7, a7=9, and a8=11.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=3; an=an−1+2
a1=−3; an=2an−1
a1=3; an=2an−1
a1=−3; an=an−1+2
Answer:
a1=−3; an=an−1+2
Step-by-step explanation:
I just took the quiz and this was what was correct
Which situation results in a final value of zero
Answer:
Step-by-step explanation:
What is the least common denominator of 1/6 and 5/12
Answer:
The least common denominator is 12.
Step-by-step explanation:
1/6 and 5/12.
Skip count by 6and 12.
6: 6,12,18,24,30.....
12: 12,24, 36,48...
12, appeared first, so 12 is the least common denominator.
hope it helps.
help! the measure of XY = 140 find the measure of angle 0
Answer:
it's 140 ÷ 2 = 70
bcz the XY is a Inscribed angle
what is the diameter of a circle with a circumference of 27 centimeters?
Answer:
diameter = 8.6 cm
Step-by-step explanation:
diameter = 27/π = 8.6 cm
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The dot plots show 20 scores on two different tests.
What is the difference of the ranges?
A) 20
B) 35
C) 5
D) 10
Answer:
A) 20
Step-by-step explanation:
Test 1:
90-50 = 40
Test 2:
100-40 = 60
Difference:
60-40 = 20