question 21 options: suppose the american kennel club estimates that 38% of households in u.s. have a pembroke welsh corgi. a random sample of 400 households is taken. round probability answers to 4 decimal places, i.e. .xxxx do not include leading or ending zeros. what is the probability the sample proportion is more than 40%?
Answers
The probability that the sample proportion is more than 40% is approximately .0001.
What is Probability?
Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
To find the probability that the sample proportion is more than 40%, we need to use the normal distribution and the central limit theorem.
The central limit theorem states that the distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To find the probability that the sample proportion is more than 40%, we need to first calculate the mean and standard deviation of the sample proportion. The mean of the sample proportion is equal to the population proportion (38%), and the standard deviation of the sample proportion is equal to:
\(standard\ deviation = sqrt((population\ proportion * (1 - population\ proportion)) / sample\ size)\\\\= \sqrt{((.38 * .62) / 400)}\\\\= .048\)
Next, we need to standardize the sample proportion of 40% by subtracting the mean and dividing by the standard deviation:
z = (40% - 38%) / .048 = 4.17
The probability that it is less than or equal to 40% is approximately .9999.
The probability that the sample proportion is more than 40% is then equal to 1 - .9999 = .0001.
So, The probability that the sample proportion is more than 40% is approximately .0001.
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Related Questions
18.85% of the pupils in Form 2 study craft, 72% study music and 60% study both subjects. What percentage study neither craft nor music?
Answers
Answer:
Step-by-step explanation:
Sorry cant help 18.85%
What are the 5 properties of a triangle?
Answers
Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.
1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.
3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).
4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.
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The five properties of triangle is listed below.
The term triangle is defined as the polygon with three angle, sides and vertices.
Here we have to list down the properties of triangle.
The basic five properties of triangle are as follows:
1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.
2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.
3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.
4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.
5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.
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the number of late insurance claim payouts per 100 should be measured with what type of control chart?
a. Either x bar chart or r chart
b. X bar chart
c. C chart
d. R chart
e. Or p chart
Answers
The number of late insurance claim payouts per 100 should be measured with a p-chart. Therefore, the correct option is (e) p-chart.
A p-chart is a type of control chart used to monitor the proportion of nonconforming items in a sample, where nonconforming items are those that do not meet a certain quality standard or specification. In this case, the proportion of late insurance claim payouts would be the proportion of nonconforming items.
A p-chart is appropriate when the sample size is constant and the number of nonconforming items per sample can be either small or large. It is used to monitor the stability of a process and to detect any changes or shifts in the proportion of nonconforming items over time.
An X-bar chart and R-chart are used to monitor the mean and variability of a continuous variable, respectively, and would not be appropriate for measuring the number of nonconforming items.
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Unit 3 Lesson 8 Cumulative Practice Problems
1. This is an invalid proof that all isosceles triangles are similar. Explain which step is
invalid and why.
1. Draw 2 isosceles triangles ABC and DEF where AC = BC and DF = EF.
2. Dilate triangle ABC to a new triangle A'B'C using center C and scale factor de so
that A'C = B'C = DF = EF.
3. Translate by directed line segment CF to take A'B'C to a new triangle A"B" F.
Since translation preserves distance, A" F = A'C= DF and B" F = BC = EF.
4. Since A" F = DF, we can rotate using center F to take A" to D.
5. Since B" F = EF, we can rotate using center F to take B" to E.
6. We have now established a sequence of dilations, translations, and rotations that
takes A to D, B to E, and C to F, so the triangles are similar.
Answers
Answer:
Step-by-step explanation:
Let ABC be an isosceles triangle with lateral sides AB and AC, a base of BC, and medians of AC and AB, respectively, at BD and CE.
In △ACE and △ABD ,
AB≅AC lateral sides of isosceles triangle
∠A≅∠A common angle
AE≅AD half segments of equal lateral sides
As a result, ACE ≅ABD according to the side angle side theorem. as a result, median BD is consistent with median CE.
If any two figures can be positioned exactly over one another, the congruence between them can be seen. The relationship between two figures is referred to as their congruence, and is expressed using the word "congruence".
In other terms, two geometric figures are said to be congruent if they can be superimposed on one another.
All figures, including triangles, quadrilaterals, and other shapes, have this feature. Along with figures, line segments and angles that have the same measure are also said to be congruent. To comprehend what congruent figures represent, look at the following figure.
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The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold.
Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
Answers
The correct option is the third one; (14, 4); The vertex represents the maximum profit.
How to find the vertex of the quadratic?For a general quadratic equation
y = ax² + bx + c
The vertex is at the x-value:
x = -b/2a
Here the quadratic function is:
f(x)= -x² + 28x - 192
The vertex is at:
x = -28/2*-1 = 14
Evaluating in x= 14 we get:
f(14) = -14² + 28*14 - 192 = 4
So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.
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pls help, its due today. !!!
Answers
Answer:
its dark blue
Step-by-step explanation:
The height of a helicopter above the ground is given by h = 3.05t3, where h is in meters and t is in seconds. At t = 2.35 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
Answers
the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.
The height of the mailbag after its release is given by the equation h = 3.05t3. At t = 2.35 seconds, the height of the mailbag is h = 3.05 * 2.35 * 2.35 = 39.58 meters. This means that the mailbag is still 39.58 meters above the ground. The equation for the height of the mailbag tells us that the height of the mailbag is decreasing at a rate of 9.15t2 meters per second. This means that the mailbag will take 39.58 / 9.15 = 4.33 seconds to reach the ground.
Therefore, the mailbag will reach the ground after 1 + 4.33 = 5.33 seconds
Here is a table of the height of the mailbag over time:
Time (seconds) | Height (meters)
------- | --------
2.35 | 39.58
2.36 | 35.43
2.37 | 31.28
... | ...
5.33 | 0
As you can see, the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.
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Which line has a y-intercept of -2?
A) L
B) P
C) T
D) Both L and T
Answers
Answer:
Answer is D
Step-by-step explanation:
hope that helps
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
x=11 im not sure but i think
Choose the correct written expression for: (9 x 4) divided by 6.
Options:
he quotient of 9 and 4 times 6
divided by the product of 9 and 4
the product of 9 and 4 divided by 6
9 times 4 divided by 6
Answers
Answer:
the product of 9 and 4 divided by 6
PLEASE HELP ME I WILL GIVE YOU BRAINLY
Answers
A town's population was 3800 in 2005 and growing at a rate of 2% every year. Find the town's population in 2025.
Answers
The town's Population in 2025 is estimated to be approximately 5643.
The town's population in 2025, we need to calculate the population growth over the 20-year period from 2005 to 2025.
Given that the population in 2005 was 3800, and it grows at a rate of 2% every year, we can calculate the population for each year using the formula:
Population = Initial Population * (1 + Growth Rate)^Number of Years
Substituting the given values into the formula:
Population in 2025 = 3800 * (1 + 0.02)^20
Calculating this expression:
Population in 2025 = 3800 * (1.02)^20
Using a calculator or software, we can find the population in 2025:
Population in 2025 ≈ 3800 * 1.485947
Population in 2025 ≈ 5643.47
Therefore, the town's population in 2025 is estimated to be approximately 5643.
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Anyone know the answer?
Answers
Answer:
A. CentroidStep-by-step explanation:
The centroid of a triangle is the point where the three medians coincide.
Here,
The three medians coincide at point Z so it's the centroid
Given that 8x - 7y = 11
Find x when y = 3
Answers
Answer:
x = 4
Step-by-step explanation:
Substitute 3 in for y.
8x - 7(3) = 11 (Given)
8x - 21 = 11 (Simplified)
8x = 32 (Added 21 on both sides)
x = 4 (Divided 8 on both sides)
Step-by-step explanation:
8x-7y=11
8x-7×3=11
8x-21=11
8x=11+21
8x=32
x=32/8
x=4
Combine the like terms to create an equivalent expression: −7−4p−(−5)
Answers
Answer:
the answer is -4p-2
M
- (5x + 10)~
(6x + 3)º
Answers
Answer:
B) Solve the equation for x: 5X-10+X 8290. 6x-18=90. +18 +18. 60x = 108 ... angle measure of each: Angle A. 524. 3x-35. 3(24)-35. 72-35. 37 m ZA = NM M.:
Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Desmond can sell his car for today?
Answers
8,000 - 24x
Step-by-step explanation:
Let
y ----> depreciated value of the car
x---> rate of depreciation
t ----> the time in months
we know that
The linear equation that represent this situation is
y=8,000-xt
For
t=2 years=2*12=24 months
substitute
y=8,,000-x(24)
y=8,000-24x
Dorothy is trying to estimate 20. She uses this table of values:
Square 4.02 4.12 4.22 4.32 4.42 4.52
Value
16.0 16.8 17.6 18.5 19.4 20.3
Square 4.62 4.72 4.82 4.92 5.02
Value
21.2 22.1 23.0 24.0 25.0
What should she do next to find 20 to the nearest hundredth?
O A. She should estimate that 20 is 4.50.
B. She should find the average of 4.4 and 4.5.
O C. She should find the squares of numbers between 4.5 and 4.6.
D. She should find the squares of numbers between 4.4 and 4.5.
Answers
Answer:
D
Step-by-step explanation:
im taking the test for math on apex
Answer:
Step-by-step explanation:
The nice correct answer is D your welcome
A $52 video game is advertised for 20% off.If sales tax is 6% how much will the video game cost
Answers
Answer:
S44.10
Step-by-step explanation:
20% of 52 is 41.6
6% of 41.6 is 2.49600 US$ which rounds to 2.50
2.50+41.6=44.1
$44.10
in a certain town in north america. the time of sunrise for any day of the year can be found using the equation where is the time in hours after midnight and is the number of the day in the year. to the nearest minute, when did the sun rise on december 25th, the 359th day of the year?
Answers
Given the equation t = -0.0069d + 7.35, where t is the time of sunrise in hours after midnight and d is the number of the day in the year, To find the time of sunrise on December 25th, the 359th day of the year, we need to substitute 359 for d in the equation.
t = -0.0069(359) + 7.35
t = -2.4471 + 7.35
t = 4.9029
This means that the time of sunrise on December 25th is 4.9029 hours after midnight. To convert this to minutes, we can multiply 4.9029 by 60 (since there are 60 minutes in an hour).
4.9029 x 60 = 294.174
So the sun rose on December 25th at 294.174 minutes after midnight, which is equivalent to 4 hours and 54 minutes (294 minutes) after midnight. To the nearest minute, the sun rose on December 25th at 4:54 AM.
0.6 divided by 78
:)
Answers
Answer:
0.6 divided by 78 is 0.00769230769
or if you meant
78 divided by 0.6 it is 360
Step-by-step explanation:
In fraction form it would be 6/10 x 1/78 = 6/780 = 3/390
pls help quick i will mark brainlest if you get correct answer
Answers
Answer:
b
Step-by-step explanation is nothing:
A scientist studying growth of corn plants finds that the average height of her plants increases from 14 1/2 in. to 20 3/10 in. during a one-week period. To the nearest whole percent, what is the percent increase in the average height of the corn plants during this period?
Answers
20 3/10 in. - 14 1/2 in. = 5 8/10 in. = 58/10 in.
To find the percent increase, we need to divide the difference by the initial height, and then multiply by 100 to express the answer as a percentage:
percent increase = (difference / initial height) x 100%
percent increase = (58/10 in. / (29/2) in.) x 100%
percent increase = 2 x 100% = 200%
Therefore, the percent increase in the average height of the corn plants during this period is 200%, to the nearest whole percent.
I WILL GIVE BRANILEST! PLEASE HELPPPPPP a round flower garden with a radius of 23 metres is surrounded by a pathway of 2 metres wide. Calculate the circumference and area of the outer pathway.
Answers
Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
Hurry ASAP need help nowww
Answers
Answer:
cant help sry
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
80-45=35
(giving brainliest)
Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.
sophia earns $___ per hour (less/more) than ruby.
Answers
By performing some simple mathematical operations, we know that Sophia earns $366 per hour.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).So, to calculate how much Sophia earns in 1 hour:
Total earnings are 1098.20.Total working hours are 38.Now, calculate earnings per hour:
1098.20/38366.06Rounding off: $366
Therefore, by performing some simple mathematical operations, we know that Sophia earns $366 per hour.
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Complete question:
Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.
sophia earns $___ per hour
After 30 years of 8.8% interest compounded monthly, an account has $4,000,000. what was the original deposit amount? a $253,201.60 b $301,239.23 c $288,208.04 d $276,304.56
Answers
After 30 years of 8.8% interest compounded monthly, an account has $4,000,000,he original deposit amount was $288,208.04
Compound Interest :
Compound interest is a form of interest calculated using the principal amount of a deposit plus previously accrued interest.
general formula for compound interest is
A = P (1 + r/n) ^ nt
where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
According to question,
Given final amount is (A) = $4,000,000
time (t) = 30 years
Rate of interest (r) = 8.8%
= 8.8/100
= 0.088 , Compounded monthly
Let P be the principal amount
using the formula for compound interest compounded monthly,
A = P (1 + r/12)^12*t
or,
P = A/(1 + r/12)^12*t
Substituting all values we get,
P = $4,000,000/ (1 + 0.088/12)^12 x 30
= $4,000,000/13.8788
= $288,209.35
≈ $288,208.04
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If g(x) = f (1/3x), which statement is true?
(see image)
Answers
The statement "The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g" is true.
Why is the statement true?When we replace x with 1/3x in the function f(x), we are essentially stretching the horizontal axis by a factor of 3. This is equivalent to stretching the graph horizontally by a scale factor of 3.
A graph serves as a visual depiction of data, presenting an opportunity to illustrate connections among diverse variables, juxtapose distinct datasets, or showcase information in a clear and comprehensible manner.
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88 POINTS AND WILL GIVE BRAINLIEST ITS ALGEBRA 1 DUE NOW
What is the factored form of the expression?
6g^2+5g-6
and
What is the factored form of the expression?
9x^2-18x+9
Answers
Answer & Step-by-step explanation:
1. (3g−2) (2g+3)
2. 9(x−1)^2
Sorry if wrong ;(
Hope this helps ;)
Answer:
(3g-2)(2g+3)
9(x-1)^2
Hope this helps
Which is the graph of the rose curve
Answers
Rose curve equations have two forms: r = a cos(nθ) and r = a sin(nθ) where a ≠ 0 and n is a positive integer. Petals have length determined by a. If n is odd, the number of petals is n. However, if n is even, the number of petals is 2n.
hope it helps aaa ^^'
