The polynomial is 4x^3 - 18x^2 + 2x + 12
A polynomial of degree 3 that satisfies, we need to use the fact that if a polynomial has a zero at x = a, then (x - a) is a factor of the polynomial. So, for the given zeroes, we have the factors (x + 1/2), (x - 2), and (x - 3).
Multiplying these factors together, we get:
(x + 1/2)(x - 2)(x - 3) = (x^2 - (3/2)x - 1)(x - 3) = x^3 - (9/2)x^2 + (1/2)x + 3
To get a constant coefficient of 12, we need to multiply this polynomial by a constant. Since the current constant coefficient is 3, we need to multiply by 4:
4(x^3 - (9/2)x^2 + (1/2)x + 3) = 4x^3 - 18x^2 + 2x + 12
So, the polynomial that satisfies the given conditions is:
P(x) = 4x^3 - 18x^2 + 2x + 12
The polynomial is 4x^3 - 18x^2 + 2x + 12
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Kayleigh walks 5/8 to school every day how far does she walk to school in 5 days
Answer:
Step-by-step explanation: First you do 5*5 and get 25. Then you do 25/8 and get 3 1/8.
4. Use the Variation of parameters to find a particular solution for the ODES et 22 (a) y" – 2y' + y = (b) y" + y = = sec(x) (C) y" + y = sin?(x) =
The Variation of Parameters is a method used to find a particular solution for ordinary differential equations (ODES). The method involves finding the general solution to the homogeneous equation and then using that to find a particular solution to the non-homogeneous equation.
For the given ODES:
(a) y" - 2y' + y = et^2
First, we need to find the general solution to the homogeneous equation y" - 2y' + y = 0. The characteristic equation is r^2 - 2r + 1 = 0, which has a repeated root r = 1. Therefore, the general solution to the homogeneous equation is yh = c1e^t + c2te^t.
Next, we use the Variation of Parameters to find a particular solution. We assume that the particular solution has the form yp = u1e^t + u2te^t, where u1 and u2 are functions of t. We then find the first and second derivatives of yp and substitute them into the original equation. After simplifying, we obtain a system of equations for u1' and u2'. We solve for u1' and u2' and then integrate to find u1 and u2. Finally, we substitute u1 and u2 back into the equation for yp to find the particular solution.
(b) y" + y = sec(x)
Similarly, we first find the general solution to the homogeneous equation y" + y = 0. The characteristic equation is r^2 + 1 = 0, which has complex roots r = i and r = -i. Therefore, the general solution to the homogeneous equation is yh = c1cos(x) + c2sin(x).
Next, we use the Variation of Parameters to find a particular solution. We assume that the particular solution has the form yp = u1cos(x) + u2sin(x), where u1 and u2 are functions of x. We then find the first and second derivatives of yp and substitute them into the original equation. After simplifying, we obtain a system of equations for u1' and u2'. We solve for u1' and u2' and then integrate to find u1 and u2. Finally, we substitute u1 and u2 back into the equation for yp to find the particular solution.
(c) y" + y = sin^2(x)
The general solution to the homogeneous equation y" + y = 0 is the same as in part (b). We use the Variation of Parameters to find a particular solution in the same way as in part (b), but with the right-hand side of the equation being sin^2(x) instead of sec(x).
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An hour before show time, only 144 people are seated for a musical. According to ticket sales, 94% of the people have yet to arrive. How many tickets were sold for the musical?
Answer:
2400
Step-by-step explanation:
144 are seated
94% yet to arrive
6% = 144
Easy method Find the value of 1%
144/6 will be 1%
If 1% =24 then 100% will be 24x 100
Total tickets sold will be 2400
Check: 6% of 2400 is 144
rocket travels 180 ft in 15 sec. What is the ratio of feet to seconds to the lowest term
Answer:
12ft: 1sec
Step-by-step explanation:
180ft : 15sec
180÷15=12
15÷15=1
soooo it's
12ft : 1sec in the lowest term
Antonio is working with a new geometric series generated by the equation A(n) =
12(1.5)n-1
S. Help Antonio find the sum of the first 15 terms of the series without just adding them all up. Show your work
below.
6. Help Antonio find the sum of the 16th through the 30th terms of the series. Show your work below.
Sum of the first 15 terms of the series given is = 10485.36
What is sequence and series?
A sequence is a collection or sequential arrangement of numbers that adheres to a predetermined order or set of criteria. A series is created by adding the terms of a sequence. In a sequence, a single sentence could appear more than once.
Sequences can be divided into two categories: endless sequences and finite sequences. By merging the terms of the sequence, series are defined. A series may, in exceptional cases, also have a sum of infinite terms.
In the given question,
Antonio is working with a new geometric series generated by the following equation:
A(n) = 12(1.5) ⁿ-1
Now to find the sum of the first 15 terms of the series,
S(n) = a{rⁿ)-1}/r-1
So, we have,
a = 12
r = 1.5
n = 15
Using the values in the equation:
S (15) = 12 (1.5¹⁵ - 1)/1.5-1
= 12 × (437.89-1)/0.5
= 12 × 873.78
= 10485.36
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The graph of y= 3 + 2x - x^2 What are the coordinates of the root of the equation
Answer:
To find the coordinates of the root of the equation y = 3 + 2x - x^2, we need to find the values of x where y = 0 (because the root is the point where the function intersects the x-axis). So we can set y equal to 0 and solve for x:
0 = 3 + 2x - x^2
Rearranging, we get:
x^2 - 2x - 3 = 0
We can factor the quadratic equation by finding two numbers that add up to -2 and multiply to -3. These numbers are -3 and 1, so we can write:
(x - 3)(x + 1) = 0
This equation is true when either x - 3 = 0 or x + 1 = 0. So the roots of the equation are:
x = 3 or x = -1
Therefore, the coordinates of the roots of the equation y = 3 + 2x - x^2 are (3, 0) and (-1, 0).
Complete the statement.
y=cos −1
x means that x= for 0≤y≤π
y=cos −1
x means that x=, for 0≤y≤π
This statement means that the inverse cosine function, cos −1x, gives the angle y whose cosine is x, within the range of 0≤y≤π.
Complete the statement. y=cos −1x means that x=cos y, for 0≤y≤π
This statement means that the inverse cosine function, cos −1x, gives the angle y whose cosine is x, within the range of 0≤y≤π. In other words, if we know the value of x, we can use the inverse cosine function to find the angle y that has a cosine of x. This is useful for solving equations involving cosine, such as finding the angles of a triangle given the lengths of its sides.
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WXYZ FEDC. Find YZ and DE.
X
10
Y
Z
30
Save answer
WF
27
Write your answers as decimals or whole numbers.
YZ =
DE= =
9
6
C
E
2
D
Answer:
To find YZ and DE in the sequence WXYZ FEDC, we need to understand how the sequence is constructed. The sequence is likely made up of two smaller sequences: WXYZ and FEDC.
To find YZ, we need to look at the WXYZ sequence. Since Y and Z are the last two digits of this sequence, we can conclude that Z is the last digit and Y is the second to last digit. Therefore, YZ = 30.
To find DE, we need to look at the FEDC sequence. Since D and E are the last two digits of this sequence, we can conclude that E is the last digit and D is the second to last digit. Therefore, DE = 96.
So, YZ = 30 and DE = 96
Step-by-step explanation:
brainliest pls
please help asap i will give brainliest
Answer:
perfect square therefore rational
non perfect square therefore irrational
cuberoot
5
Step-by-step explanation:
the topic is about perfect squares and rationality of numbers
HELPPPPPP DUE TONIGHTTT
The scatter plot shows the number of hours worked, x, and the amount of money spent on entertainment, y, by each of 23 students.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the money spent on entertainment for a student who works 10 hours.
Note that you can use the graphing tools to help you approximate the line.
Answer:
Step-by-step explanation:
A is y=x+4
b is y=14
quotient of -2 1/2 and -3 1/3
The quotient of -2 1/2 and -3 1/3 is = 9/16
Define quotient?In the end, the quotient is what we obtain when we divide a number. Putting things into equal groups is a division operation in mathematics. It is symbolised by the glyph (). For instance, there are three groups of 15 balls each that must be distributed equally.
When we divide the balls into three equal groups, the division formula is 15/3 = 5. The quotient is 5 in this case. This indicates that each set of balls will include five balls.
In this case let us first convert the improper fractions into proper fractions:
-2 1/2 = -4+1/2 = -3/2
-3 1/3 = -9+1/3 = -8/3
Now to find the quotient we have to multiply the fraction's reciprocals:
-3/2 × 3/-8
= -9/-16
=9/16
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13. Write 7% as a decimal
Answer:
0.07
Step-by-step explanation:
Percentages are on a scale of 1. 100% is 1, 1% is 0.01
we can convert percentage to decimal by moving the decimal point 2 places left.
Therfore, the answer is 0.07
Tommy and Kim share some grapes in the ratio 5:6
Tommy eats half of his grapes.
Kim eats 4 more than Tommy.
They now have the same number of grapes.
How many grapes did they share to begin with?
Answer: They shared 40 grapes for Tommy and 48 grapes for Kim
Step-by-step explanation:
Let's assume that the initial number of grapes they shared is 5x for Tommy and 6x for Kim.
After Tommy eats half of his grapes, he will have 5x/2 grapes left.
Kim eats 4 more grapes than Tommy, so she will have 5x/2 + 4 grapes.
To find the total number of grapes they have after eating, we can add them together:
5x/2 + 4 + 5x/2 = 11x/2 + 4
Since they now have the same number of grapes, we can set this equal to the initial total number of grapes they shared:
5x + 6x = 11x
11x = 11x/2 + 4
Multiplying both sides by 2:
22x = 11x + 8
Subtracting 11x from both sides:
11x = 8
Dividing by 11:
x = 8/11
So the initial number of grapes they shared is:
5x + 6x = 11x = 11(8/11) = 8
Therefore, they shared 40 grapes (5x) for Tommy and 48 grapes (6x) for Kim at the beginning.
rio drew two similar rectangles. one rectangle was 9 inches long and 6 inches wide. the second rectangle was 15 inches wide. how long was the second rectangle?
As a result, the length of the second rectangle is 22.5 inches.
Are rectangles always squares?Every square is also a rectangle because a square is a parallelogram with all particular corners at right angles. Yet not all rectangles are squares; for a rectangle to be a square, all of its sides must be the same length.
We can infer that the two rectangles may have a similar shape but differ in size because we can see how similar they are to one another.
By using the fact that the ratio of the adjacent angles of two comparable rectangles is the same, we can determine the length of the following rectangle.
Let x be the second rectangle's length. Then we can establish a ratio:
9/6 = x/15
We can cross-multiply to find x:
9 x 15 = 6 × x
135 = 6x
x = 22.5
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Mr. Willams’ physical education class lasts 7/8 hour. How many minutes are spent warming up and cooling down?
Answer:15.75 min
Step-by-step explanation:
7/8)60= 52.5
3/10)52.5= 15.75
core of 2 Question 11 of 11 at is propeled sraight upward from ground level with an initial velocity of 64 feet mat, is heiget hin feet t seconds later is given by the equation h=-16t^(2)+64t. wany secinds is the height 48 feet?
By applying velocity concept, it can be concluded that the height of the object is 48 feet at 1 second and 3 seconds.
Velocity is the distance traveled, and the direction in which the distance is changing. It can also be described as the instantaneous rate of change of a moving object.
velocity = Δs / Δt , where:
Δs = distance change
Δt = time change
The height of the object is given by the equation h = -16t² + 64t.
We need to find the time t when the height is 48 feet.
To do this, we can plug in the value of h and solve for t:
h = -16t² + 64t
48 = -16t² + 64t
0 = -16t² + 64t - 48
Dividing by -16 gives us:
0 = t² - 4t + 3
= (t - 3)(t - 1)
Therefore, the possible values of t are 1 and 3 seconds.
So, the height of the object is 48 feet at 1 second and 3 seconds.
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It will take 5.00 seconds for the object to reach a height of 48 feet.
To answer this question, we need to use the equation given: h = -16t2 + 64t. We know that the height is 48 feet and need to calculate the number of seconds it will take to reach this height.
We can rearrange the equation to solve for t, which will give us the number of seconds it takes to reach 48 feet:
48 = -16t2 + 64t
To solve for t, we can use the quadratic formula:
t = (-64 ± √(642 - 4(-16)(48))) / (2(-16))
After simplifying, we get:
t = (8 ± √384) / -32
Therefore, the two solutions are t = 5.00 seconds and t = -6.25 seconds.
Since the object is being propelled upwards, the only solution that makes sense is t = 5.00 seconds.
Therefore, it will take 5.00 seconds for the object to reach a height of 48 feet.
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The water level of a lake was 20 feet and increases 10% each week during winter rainstorms
The water level after 4 weeks will be 29.2 feet.
The water level of the lake will increase by 10% each week during the winter rainstorms. This means that each week, the water level will increase by 0.10 × 20 = <<0.10*20=2>>2 feet.
After the first week, the water level will be 20 + 2 = <<20+2=22>>22 feet.
After the second week, the water level will be 22 + 2 = <<22+2=24>>24 feet.
After the third week, the water level will be 24 + 2 = <<24+2=26>>26 feet.
And so on.
We can use the formula A = P(1 + r)^n to find the water level after n weeks, where A is the final amount, P is the initial amount, r is the rate of increase, and n is the number of weeks.
In this case, P = 20, r = 0.10, and n is the number of weeks.
So, the water level after n weeks will be:
A = 20(1 + 0.10)^n
We can plug in different values of n to find the water level after a certain number of weeks.
For example, to find the water level after 4 weeks, we can plug in n = 4:
A = 20(1 + 0.10)^4 = 29.2 feet
So, the water level after 4 weeks will be 29.2 feet.
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A ticket for the spring musical is $4.50.
Which table shows the relationship between the number of tickets purchased and the total price paid?
OA
B.
Tickets Total
Purchased Price
1
$4.50
2
$9.00
3
$13.50
$18.00
Tickets Total
Purchased Price
4
1
2
3
4
$4.50
$9.00
$18.00
$36.00
C.
D.
Tickets Total
Purchased
Price
$4.50
$9.00
$14.50
$19.00
1
2
3
4
Tickets
Purchased
1
2
3
4
Total
Price
$4.50
$8.00
$12.50
$16.00
Answer:
Step-by-step explanation:
1 ticket costs 1 × $4.50 = $4.50
2 tickets cost 2 × $4.50 = $9.00
3 tickets cost 3 × $4.50 = $13.50
4 tickets cost 4 × $4.50 = $18.00
The first table is the only one that matches these values.
Axis of symmetry for f(x)=-(x-7)^2 -30
The axis οf symmetry fοr the functiοn f(x) = -(x - 7)² - 30 is the vertical line x = 7.
What is the axis οf symmetry?In mathematics, the axis οf symmetry is a line that divides a twο-dimensiοnal shape οr a three-dimensiοnal οbject intο twο equal halves, such that each half is a mirrοr image οf the οther. The axis οf symmetry can alsο refer tο a line that divides a mathematical functiοn intο twο equal halves.
The given quadratic functiοn is:
f(x) = -(x - 7)² - 30
We can see that the cοefficient οf x² is -1, which means that the parabοla οpens dοwnwards. The vertex οf the parabοla is (7, -30), which is alsο the maximum pοint οf the parabοla.
The axis οf symmetry fοr a parabοla is a vertical line that passes thrοugh the vertex. Therefοre, the axis οf symmetry fοr the given functiοn is a vertical line passing thrοugh (7, -30).
The equatiοn οf the axis οf symmetry is given by:
x = 7
Therefοre, the axis οf symmetry fοr the functiοn f(x) = -(x - 7)² - 30 is the vertical line x = 7.
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Dakota is able to drive his car 32.5 miles per gallon of gasoline. Write and solve an inequality that could be used to determine the minimum number of gallons of gasoline Dakota would need to drive 117 miles to his brother's house. Then interpret the solution. Explain your reasoning.
According to the interpretation of the solution, Dakota's vehicle requires more than 3.6 gallons of fuel to travel the 117 miles to his brother's home.
What will be the interpretation of the equation?Dakota will use x gallons of gas to travel 117 miles to his brother's home.
The following inequalities can be used to determine how many gallons of fuel Dakota requires the most:
x ≥ 117/32.5
According to this inequality, x must be more than or equal to 117 miles, which is the required driving distance for Dakota, divided by 32.5 miles per gallon, the maximum fuel efficiency for his vehicle.
After finding x, we obtain:
x ≥ 3.6
Hence, in order to go 117 miles to his brother's home, Dakota would require at least 3.6 gallons of gasoline.
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help please!!!!!! as soon as possible
Answer:
Step-by-step explanation:
ok so first u do 12 times 2 and then divide by 3
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
1)
2)
3)
9 mi
4 ft
5 ft
12 mi
4)
10 in
13 yd
x
6 in
5 yd
The values of the x in all triangles are:
1) x = 15. (2) x = 8. (3) x = 3. (4) x = 11.95. (5) x = √-5. (6) x = √104.
What is the Pythagoras theorem?The Pythagorean theorem consists of a formula a²+b²=c² which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).
1) In this triangle:
Adjacent = 9mi
Opposite = 12 mi
Hypotaneous = x
so, x² = (9)² + (12)²
x = √81 + 144
x = 15.
2) In this triangle:
Adjacent = x
Opposite = 6 in
Hypotaneous = 10 in
so, (10)² = (x)² + (6)²
√100 - 36 = x
x = 8.
3) In this triangle:
Adjacent = x
Opposite = 4 ft
Hypotaneous = 5 ft
so, (5)² = (x)² + (4)²
√25 - 16 = x
x = 3.
4) In this triangle:
Adjacent = x
Opposite = 5 yard
Hypotaneous = 13 yard
so, (13)² = (5)² + (x)²
√168 - 25 = x
x = 11.95.
5) In this triangle:
Adjacent = x
Opposite = √13 mi
Hypotaneous = 2√2 mi
so, (2√2 )² = (√13)² + (x)²
8 - 13 = x
x = √-5.
6) In this triangle:
Adjacent = 13 yd
Opposite = √65 yd
Hypotaneous = x
so, (x)² = (13)² + (√65 )²
169 - 65 = x
x = √104.
Hence, The values of the x in all triangles are:
1) x = 15. (2) x = 8. (3) x = 3. (4) x = 11.95. (5) x = √-5. (6) x = √104.
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(1 point) A circular sector has radius r = 5.1 and central angle θ = 145º. Determine: Arclength = _____
Area = ______
The arclength of the circular sector with radius r = 5.1 and central angle θ = 145º is 13.06. The area of the circular sector is 32.54.
The arclength and area of a circular sector can be calculated using the following formulas:
Arclength = (θ/360) * 2πr
Area = (θ/360) * πr²
Where θ is the central angle in degrees, r is the radius, and π is the constant pi.
Plugging in the given values for r and θ, we get:
Arclength = (145/360) * 2π(5.1) ≈ 12.90
Area = (145/360) * π(5.1)² ≈ 32.91
So, the arclength of the circular sector is approximately 12.90 units and the area is approximately 32.91 square units.
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In the following figure, AE and BD are segments.
1. ABC and CDE are similar. How do we know this?
2. What is the scale factor of the similarity transformation that takes
ABC to CDE?
3. What is the value of the ratio of the area of ABC to the area of CDE? Explain how you
know.
4. If the area of ABC is 40 cm² What is the area of CDE?
According to the image we can infer that both figures are similar. Their ratio is 11:4; their scale factor is 1:2 and their areas are: 40cm² and 14.54cm²
How do we know that the two figures are similar?We know that the two figures are similar because they have the same angles. Therefore they are similar. In this case it can be inferred that they have a scale factor close to half because the small triangle represents more or less half of the large triangle.
The value of the ratio can be found taking as reference the measurements of the base of the triangles. Then it would be a ratio of 11:4, that is to say that for every 11cm of large triangle, the small one has a 4cm base.
Finally, if the area of the large triangle is 40cm², the area of the small triangle would be the following:
11cm base = 40cm²
4 cm base = cm²
4 * 40 / 11 = 14.54cm²
1. ABC and CDE are similar. How do we know this?Yes they are similar because they have the same angle values.
2. What is the scale factor of the similarity transformation that takes ABC to CDE?According to the graph we can infer that the scale factor of the similarity transformation that takes ABC to CDE is 1:2.
3. What is the value of the ratio of the area of ABC to the area of CDE? Explain how you know.According to the information, we can infer that the ratio of the area of both triangles is 11:4 because those values correspond to their base length.
4. If the area of ABC is 40 cm² What is the area of CDE?if the area of the large triangle is 40cm², the area of the small triangle would be the following:
11cm base = 40cm²
4 cm base = cm²
4 * 40 / 11 = 14.54cm²
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At the movie
theater, 8 tickets
cost $76.00.
How much is
each ticket?
USE A
Answer:
$9.50
Step-by-step explanation:
If there are 8 tickets and they all add up to $76, you have to divide 76 by 8 (the number of tickets)
Looking at the merry-go-round above, if Max begins where it says "start", what is the
the shortest distance that Max is from the wall when the merry-go-round starts?
____feet (Write only the numbers)
Looking at the merry-go-round above, if Max begins where it says "start", what is the
shortest distance that Max will be from the wall during the ride?
___feet
the first answer is 40
the second answer is 15
if Max is at "start," he is 40ft away from the wall.
40 - 25 = 15ft
The average (arithmetic mean) of a, a + 1, and a + 2 is c, and the average of b, b + 1, and b + 2 is d. What is the average of c and d?
You have a Poisson process with rate parameter λ = 2.
i. Let Xk be the waiting time for k occurences. Write down the probability
distributions for X1, X2, X3, and X5, and calculate the expected waiting
time E[Xk], the standard deviation σXk, and draw these four probability
distributions for the interval 0 ≤x ≤7. You do not need to include values
on the vertical axis.
ii. Let Yt ∼ ft(x) be the number of occurences in the span of t time units.
Draw the three probability distributions ft(x) (for t = 13, t = 12, t = 1.2)
for x = 0,1,2,3,4,5. Include values on the vertical axis.
The values on the vertical axis are the probabilities for each value of x. The probability of 0 occurrences in the span of 13 time units is f13(0) = 26^0 * e^(-26) / 0! = e^(-26) ≈ 0.0000000000000000000000000003.
The Poisson process is a type of stochastic process that counts the number of occurrences of an event in a given time interval. The rate parameter λ represents the average number of occurrences per unit time.
i. The waiting time for k occurrences in a Poisson process follows an exponential distribution with parameter λk. The probability distributions for X1, X2, X3, and X5 are given by:
X1 ∼ Exp(λ) = Exp(2)
X2 ∼ Exp(λ*2) = Exp(4)
X3 ∼ Exp(λ*3) = Exp(6)
X5 ∼ Exp(λ*5) = Exp(10)
The expected waiting time E[Xk] is given by 1/λk, and the standard deviation σXk is also given by 1/λk. Therefore, we have:
E[X1] = 1/λ = 1/2
E[X2] = 1/(λ*2) = 1/4
E[X3] = 1/(λ*3) = 1/6
E[X5] = 1/(λ*5) = 1/10
σX1 = 1/λ = 1/2
σX2 = 1/(λ*2) = 1/4
σX3 = 1/(λ*3) = 1/6
σX5 = 1/(λ*5) = 1/10
The probability distributions for the interval 0 ≤ x ≤ 7 are shown below:
ii. The number of occurrences in the span of t time units follows a Poisson distribution with parameter λt. The probability distributions ft(x) for t = 13, t = 12, and t = 1.2 are given by:
ft(x) = (λt)^x * e^(-λt) / x!
f13(x) = (2*13)^x * e^(-2*13) / x! = 26^x * e^(-26) / x!
f12(x) = (2*12)^x * e^(-2*12) / x! = 24^x * e^(-24) / x!
f1.2(x) = (2*1.2)^x * e^(-2*1.2) / x! = 2.4^x * e^(-2.4) / x!
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Kareem has 216 role playing game cards.His goal is to collect all 15 sets of cards.There are 72 cards in a set.How many more cards does Kareem need to reach his goal?
Answer:
864 cards
Step-by-step explanation:
Goal: 15 set of cards
*72 cards in a set*
15 x 72 = 1080
15 sets of cards = 1080 cards in total
However Kareem so far has 216 cards.
To find out how much more cards Kareem need to reach his goal, you do the following:
1080 - 216 = 864
Kareem needs 864 more cards to reach his goal.
hope this helped....
QMB3200 RVI Spring 2022 Nadia Elhaj Homework: Hw 6 - Sampling and Confidence Question 9, 6.5.30 > HW Score: 46.88%, 7.5 of 16 points X Points: 0 of 1 Save A survey of 50 young professionals found that they spent an average of $23.76 when dining out, with a standard deviation of $13.54. Can you conclude statistically that the population mean is greater than $21? Use a 95% confidence interval. The 95% confidence interval is ___, ____ . As $21 is_____ of the confidence interval, we ___ conclude that the population mean is greater than $21. (Use ascending order. Round to four decimal places )
The population mean is greater than $21.
The 95% confidence interval is $13.3896, $34.1304. As $21 is outside of the confidence interval, we can conclude that the population mean is greater than $21.
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