A survey of several 10 to 11 year olds recorded the following amounts spent on a trip to the mall $23.22, 59.71. $14.34, $23.05, $16.61, $7.22, $22.15 Construct the 99% confidence interval for the ave
Answers
The 99% confidence interval for the average amount spent by 10 to 11 year olds on a trip to the mall.
Given data for constructing a 99% confidence interval is,$23.22, 59.71. $14.34, $23.05, $16.61, $7.22, $22.15
We know that the formula for the confidence interval is as follows:
\(mean ± t_{n-1,\frac{α}{2}}\frac{s}{\sqrt{n}}\)
Where, n is the sample size$\bar{x}$ is the sample meanα is the level of significance tα/2 is the t-value at α/2 and (n-1) degrees of freedom.s
is the sample standard deviation Substituting the given values, we get;
Sample mean, \($\bar{x}$= $\frac{\sum_{i=1}^{n}x_i}{n}$ = $\frac{23.22+59.71+14.34+23.05+16.61+7.22+22.15}{7}$ = $24.7$\)
Sample standard deviation,
\(s= $\sqrt{\frac{\sum_{i=1}^{n}(x_i-\bar{x})^2}{n-1}}$\\\\ = $\sqrt{\frac{(23.22-24.7)^2+(59.71-24.7)^2+(14.34-24.7)^2+(23.05-24.7)^2+(16.61-24.7)^2+(7.22-24.7)^2+(22.15-24.7)^2}{6}}$ \\\\ = $19.67$\\\\t-value at \alpha/2$ and $ (n-1) degrees $ of freedom, t$_{\frac{0.01}{2},6 $ = 3.707\)
Using the values of mean, s, and t, we can construct the 99% confidence interval for the given data.
Confidence interval, \($\bar{x}\±t_{n-1,\frac{α}{2}}\frac{s}{\sqrt{n}}$ = $24.7\±3.707\frac{19.67}{\sqrt{7}}$ = $(9.49,40.91)$\)
Therefore, the 99% confidence interval for the average is (9.49,40.91).Hence, the correct answer is (9.49,40.91).
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Complete Questions:
A survey of several 10 to 11 year olds recorded the following amounts spent on a trip to the mall:
$23.22,$9.71,$14.34,$23.05,$16.61,$7.22,$22.15
Construct the 99% confidence interval for the average amount spent by 10 to 11 year olds on a trip to the mall. Assume the population is approximately normal.
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if the circumference of a circle is 4πrcm, find diameter
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Answer:
1.274cm
Step-by-step explanation:
easy one for you folks.
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Step-by-step explanation:
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What is the approximate value of 2 -3
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Assuming you are doing x minus y, the value would be -1.00
The number line can help - go left three times from 2 and you get an answer.
Assuming you are doing x times (-y), the value would be -6.00
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The screenshot has the question If you help within next Hour I will make you brainlest and get 50 points
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Answer:
2,689
Step-by-step explanation:
you got the first two right it's the last that is wrong
you need to do 2,407-(-282) the two negative make it a positive so add them together and you get 2,689.
Which type of soil holds the most water?
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sand
loem
clay
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Answer:
Clay
Step-by-step explanation:
Clay soil has small, fine particles, which is why it retains the most amount of water. Sand, with its larger particles and low nutritional content, retains the least amount of water, although it is easily replenished with water. Silt and loam, with medium-size particles, retain a moderate amount of water.
Mark me the brainliest
What are the solutions of x^2=-7x-8
Answers
The solutions to the quadratic equation x² = -7x - 8 are x equals \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
x² = -7x - 8
To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.
x² = -7x - 8
x² + 7x + 8 = 0
a = 1, b = 7 and c = 8
Plug these into the quadratic formula: ±
\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)
Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).
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Simplify expression plz help
Answers
Answer: The answer equals 0
The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).
Which statement correctly describes the relationship between △PQR and △P′Q′R′?
1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.
4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.
no links please
Answers
Answer:
the Answer is:
△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
I got 100% on the quiz
The two triangles ΔPQR and ΔP'Q'R' are congruent.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.
In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.
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A camera has a listed price of 867.98 before tax. If the sales tax rate is 8.75%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
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A camera has a listed price of 867.98 before tax. If the sales tax rate is 8.75%, the total cost of the camera with sales tax included is
$948.08.
To find the total cost of the camera including sales tax, you must use the formula price+(price*tax rate). In this case 867.98 + (867.98 * 0.0875) = 948.08.
To calculate the total cost with sales tax included, you must first determine the tax rate. In this case, the tax rate is 8.75%. To find the total cost, you must first multiply the price of the camera by the tax rate. This number will represent the amount of tax due to the purchase.
Then, you must add the price of the camera to the amount of tax for a total cost of 948.08. finally, to round to the nearest cent it is 948.08.
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45 PTS no need to explain.
Answers
Answer:
B. SAS-----------------------------------
The two triangles have 2 sides marked as congruent and the included angles are congruent as vertical angles:
AC ≅ EC,BC ≅ DC,∠ACB ≅ ∠ECDThis gives us SAS congruence postulate.
The matching choice is B.
a shopkeeper buys cocacola 60 rupees a dozen and sell 6 rupees per bottle find his profit or loss persentage
Answers
Answer:
20%
Step-by-step explanation:
12 bottle is 60 rupees
each sold 6 ruppes
so 12 bottle cost 72 ruppes
12*100/60 = 20%
In the united states, voters who are neither democrat nor republican are called independent. It is believed that 6% of voters are independent. A survey asked 12 people to identify themselves as democrat, republican, or independent. What is the probability that fewer than 4 are independent?.
Answers
The probability that fewer than 4 are independent = 0.971
Let X be a random variable representing the number of independent people out of 12 people.
Then X follows binomial distribution.
A binomial distribution considers two possibilities in 'n' trials - success or failure. Here the case of success is being independent and the case of failure is being either republican or democrat.
The probability distribution function of a binomial distribution is,
P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ
Where n is the number of trials, p - the probability of success
Here, n = 12
Since 6% of voters are independent, probability of being an independent = 6/100 = 0.06
Probability that fewer than 4 are independent = P( X = 0 or 1 or 2 or 3)
= P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Now, P(X=0) = ¹²C₀ (0.06)⁰ (1-0.06)¹²⁻⁰
= 1 x 1 x 0.4759
= 0.4759
P(X = 1) = ¹²C₁ (0.06)¹ (1-0.06)¹²⁻¹
= 12 x 0.06 x 0.94¹¹
= 0.3645
P(X = 2) = ¹²C₂ (0.06)² (1-0.06)¹²⁻²
= 66 x (0. 06)² x 0.94¹⁰
= 0.128
P(X = 3) = ¹²C₃ (0.06)³ (1-0.06)¹²⁻³
= 22 x 0.000216 x 0.94⁹
= 0.00272
Therefore, Probability that fewer than 4 are independent = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.4759 + 0.3645 + 0.128 + 0.00272 = 0.971
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Is it a function? Explain
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Answer:
Yes.
Step-by-step explanation:
For a graph to be a function, it must have precisely one y-value for every x-value.
In this case, this graph is a function because it meets the requirements of having one y-value for every x-value.
Let me know if this helps!
a surveyor created a lot and block survey for a new residential development. the first thing she did when she surveyed the new neighborhood was to reference a metes and bounds land description. from there, she divided the land into numbered lots and blocks. this output is known as a .
Answers
The output which is created when a surveyor creates a lot and block survey for a new residential development by referencing a metes and bounds land description is known as a subdivision plat.
A subdivision plat is a graphical representation of a portion of land that has been split into multiple lots or parcels for sale or development purposes. A surveyor makes this map by using the metes and bounds description to determine the exact location of the lot boundaries, and then dividing the land into blocks and lots.
A subdivision plat, also known as a land or lot survey, is typically required by local governments and planning authorities for new construction projects, such as residential subdivisions or commercial developments.
The map contains information such as the lot numbers, property boundaries, street names, easements, and other features. It is an important document that outlines the legal boundaries of each lot and can be used to determine property ownership and transfer.
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What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result?.
Answers
Answer:
factoring
Step-by-step explanation:
The sum of the measures of two angles is 183.6º. One angle has a measure of 54º. What is m, the measure in degrees of the second angle? Am = 129.6° B m = 3.40 cm - 9,914.4 ° D m = 237.6°
Answers
Answer
129.6
Step-by-step explanation:
You need to do 183.6-54
183.6
- 54.0
_____________
129.6
Quadratic Functions
Determine the value of y, if x is −9. y=x^2+8
Answers
Answer:nn
Step-by-step explanationn o:
Answer:
y = 89
Step-by-step explanation:
x = -9
y = x^2 + 8
y = (-9)^2 + 8
y = 81 + 8
y = 89
In regression analysis, the error term ε is a random variable with a mean or expected value of.
Answers
In regression analysis , the error term ε is a random variable with expected value of 0.
What is regression analysis?
A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.
Main Body:
In regression analysis, the model in the form is called regression model.
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.
So the answer to error term is 0.
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An Ewon the following questions Swer 1- (2x-3) = 2 3 a 6 6. I (3x+3) - 1 (4x-3) = I (*x-27) 2 n 3. x + 2 (2 + x) = 4-x
Answers
The value of x in the equation (2x - 3) = 23 is 10.
The value of x in the equation (2 + x) = 4 - x is 1.
How to calculate the equationAn equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
The calculation of the equations will be:
(2x - 3) = 23
Collect the like terms
2x = 23 + 3
2x = 26
Divide.
x = 26 / 2
x = 13
(2 + x) = 4 - x
Collect the like terms
x + x = 4 - 2
2x = 2
Divide
x = 2/2
x = 1
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Khloe buys cookies and onions at the store.
She pays a total of $53.21.
She pays a total of $6.25 for the cookies.
She buys 8 bags of onions that each cost the same amount.
How much does each bag of onions cost?
Answers
Answer:
$5.87
Step-by-step explanation:
let x=the cost of each bag of onions. So first we set up an equation 8x+6.25=53.21
What are the coordinates of D’ when the quadrilateral is reflected across the line y = x?
On a coordinate plane, quadrilateral A B C D has points (1, 2), (2, 4), (4, 3), (3, 1).
(1, 3)
(2, 4)
(3, 4)
(1, 1)
Answers
Answer:
(1, 3)
Step-by-step explanation:
If quadrilateral ABCD is reflected across the line y = x, then the x- and y-coordinates get reversed. Since the coordinates of point D are (3, 1), then the coordinates of point D' are (1, 3).
Answer:
its a its aaaa itsssssssssssssssssssssss aaaaaaaa sorry im just in a good mood
Step-by-step explanation:
which inequality is true for all real numbers? Check all that apply.
1. a-b < a+b
2. ac ≥ bc
3. if a ≥ b, then a+c ≥ b+c
4. if c > d, then a-c < a-d
5. if a < b, then a < b+c
Answers
Answer:
The answer is 1, i.e a-b < a+b
Its C: If a ≥ b, then a + c ≥ b + c
and D: If c > d, then a– c < a – d
Use the law of cosines to solve for x, use proofs. Help pleaseee
Answers
Answer:
36.524 units
Step-by-step explanation:
\(c=\sqrt{a^2+b^2-2ab\cos\gamma}\\c=\sqrt{20^2+25^2-2(20)(25)\cos108^\circ}\\c\approx36.524\)
I'm sure you can do the rest on your own :)
I really need help with this please
Answers
Answer:
x = 102°
Step-by-step explanation:
Given that 2 of the sides are congruent ( both 3.3 ) then the triangle is isosceles and the base angles are congruent ( both 39 )
The sum of the 3 angles in a triangle = 180° , thus
x = 180 - ( 39 + 39) = 180 - 78 = 102°
donna is saving money to buy a game. so far she has save $18 which is one third of the total cost of the game how much does the game cost?
Answers
The game costs $54 in total.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
If Donna has saved $18, which is one third of the total cost of the game, we can set up the following equation to represent the situation:
1/3×Total cost of the game = $18
To find the total cost of the game, we can solve for it by multiplying both sides of the equation by 3:
Total cost of the game = 3 × $18
Total cost of the game = $54
Therefore, the game costs $54 in total.
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If anyone willing to help, I'll be glad :)
Answers
Answer:
22
Step-by-step explanation:
Since its a parallelogram, opposite sides are congruent. Therefore:
BC = AD
a - 1.5 = 20.5
+1.5 +1.5
a = 22
Answer:
a=22
Step-by-step explanation:
a-1. 5 =20. 5 ( opposite side of parallelogram are equal )
or, a=20. 5+1. 5
or, a=22
you can do it from another side too.
2a-20. 8 = a + 1. 2 ( opposite side of parallelogram are equal )
or, 2a - a = 1. 2 + 20. 8
or, a = 22
Hope it will help you ☺✌
Changing a single verb can change the story the sentence creates.
a.true
b.false
Answers
Answer:
yeah its totally true, it happened from me to
answer
the answer is true
HELP NOW find the domain h(x)=5x/x+3
Find the range of f(x)=x-2
Answers
Step-by-step explanation:
Domain of h(x) is
\(\Bbb{R}\backslash\{x=-3\}\)
or equivalently,
\((-\infty,-3)\cap(-3,+\infty)\)
since h(x) is undefined everywhere except when x=-3.
The range of f(x) is
\(\Bbb{R}\)
or equivalently,
\((-\infty,+\infty)\)
The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that
Answers
The average burnout time of a large number of bulbs has a sampling distribution that is close to the normal is known as central limit theorem states.
What is Population Distribution?The Population Distribution is a form of a probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.
In statistics, the frequency (or absolute frequency) of an event can be said as the number of times the observation has occurred/recorded in an experiment or study.
Probability in statistics denotes the possibility of the outcome of any random event. The term means to check the extent to which any event is likely to happen.
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The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles to Britney travel than Alice? A. 8 miles B. 9 miles C. 10 miles D. 12 miles
Answers
Answer:A) 8 miles
Step-by-step explanation:
8 miles