The dean of students at a large college is interested in learning about their opinions regarding the percentage of
first-year students who should be given parking privileges in the main lot. he sends out an email survey to all
students about this issue. a large number of first-year students reply but very few sophomores, juniors, and seniors
reply. based on the responses he receives, he constructs a 90% confidence interval for the true proportion of
students who believe first-year students should be given parking privileges in the main lot to be (0.71, 0.79). which
of the following may have an impact on the confidence interval, but is not accounted for by the margin of error?
o response bias
o nonresponse bias
o sampling variation
o undercoverage bias
mark this and retum
save and exit
next
submit

Answer:

The equation of a circle with center (a,b) and radius r is given by:

(x - a)² + (y - b)² = r²

Comparing this to the equation x² + y² = 12², we can see that the center of the circle is (0,0) and the radius is 12. Therefore, the radius of the circle is 12 units.

Yes, arcsin and sin^-1 both represent the inverse sine function.

process of finding inital speed:

a) To find the ball's initial speed, we can use the range formula for projectile motion:
R = (v₀² * sin(2θ)) / g

where R is the range (10 m),

v₀ is the initial speed,

θ is the launch angle (45 degrees), and

g is the acceleration due to gravity (9.81 m/s²).

We can solve for v₀:

10 = (v₀² * sin(90)) / 9.81
10 = (v₀²) / 9.81
v₀² = 10 * 9.81
v₀ = sqrt(10 * 9.81)

The ball's initial speed is sqrt(10 * 9.81) m/s.

b) For the same initial speed, we can find the two firing angles that make the range 6 m:

6 = (v₀² * sin(2θ)) / 9.81
Now, we can use the initial speed found in part (a):

6 = (10 * 9.81 * sin(2θ)) / 9.81
0.6 = sin(2θ)

To find the two angles, we can use the arcsin function:

θ₁ = 1/2 * arcsin(0.6)
θ₂ = π - 1/2 * arcsin(0.6)

The two firing angles are 1/2 * arcsin(0.6) and π - 1/2 * arcsin(0.6).Yes, arcsin is the same as sin^(-1);

To know more about sin functions:

https://brainly.com/question/24500215

#SPJ11

Answer is 9.5 tons of cement

Anne's Road Paving Company initially mixed 16 1/4 tons of cement. They used 6 3/4 tons for paving a street downtown. To find the remaining amount of cement, subtract the used amount from the initial amount:

16 1/4 - 6 3/4 = 15 1/4 - 5 3/4 = 9 1/2 tons.

So, they had 9 1/2 tons of cement left.

To know more about subtraction calculations:

https://brainly.com/question/28669193

#SPJ11

To find the cat's final position, we need to add up all the vectors representing the cat's movements.

The cat first travels along the vector −1, 2.

Next, the cat chases the ball along the vector 2, 6 − , which we can write as (2, 6) − (0, 1) = (2, 5).

Then, the cat darts after the ball 1.5 times along the vector 4, 3, which we can write as 1.5(4, 3) = (6, 4.5).

Finally, the cat's position after catching the ball is the sum of all these vectors:

(-1, 2) + (2, 5) + (6, 4.5) = (7, 11.5)

Therefore, the vector describing the cat's final position is (7, 11.5).

The spindle speed for a cut taken with a 4-inch high-speed drill and a cutting speed of 30 feet per minute is approximately 35.1 revolutions per minute.

Speed is a measure of how fast an object is moving. It is usually measured in units of distance per unit time, such as miles per hour or meters per second. Speed is an important concept in physics, engineering, and everyday life

We can use the formula for spindle speed that relates spindle speed to cutting speed and tool diameter:

S = (C × 12) / (π × D)

where S is spindle speed, C is cutting speed in feet per minute, D is tool diameter in inches, and π is the mathematical constant pi.

We know that for a 3-inch high-speed drill with a cutting speed of 70 feet per minute, the spindle speed is 88.2 revolutions per minute. We can use this information to solve for the constant of proportionality k:

88.2 = (70 × 12) / (π × 3)

k = 88.2 × (π × 3) / (70 × 12)

k ≈ 0.0039

Now we can use the value of k to find the spindle speed for a 4-inch high-speed drill with a cutting speed of 30 feet per minute:

S = k × C × 12 / D

S = 0.0039 × 30 × 12 / 4

S = 35.1

Therefore, the spindle speed for a cut taken with a 4-inch high-speed drill and a cutting speed of 30 feet per minute is approximately 35.1 revolutions per minute.

To know more about speed visit:

brainly.com/question/28224010

#SPJ1

Ted spent 67 minutes reading.

First, let's determine how long Jared spent reading:

Jared = Pete - 52 minutes

Jared = 3 hours * 60 minutes/hour - 52 minutes

Jared = 148 minutes

Now we can use the fact that Ted spent 1 hour 21 minutes less than Jared:

Ted = Jared - 1 hour 21 minutes

Ted = 148 minutes - 81 minutes

Ted = 67 minutes

Learn more about minutes

brainly.com/question/15600126

#SPJ11

The maximum height the golf ball reached before landing back on the ground is 3.75 yards.

To find the maximum height the golf ball reached before landing back on the ground, we need to find the vertex of the quadratic function[tex]h(t) = -0.6t^2 + 3t.[/tex] The vertex of a quadratic function in the form of[tex]f(x) = ax^2 + bx + c[/tex] is given by the formula x = -b/(2a).

In this case, a = -0.6 and b = 3. Plugging these values into the formula:

t = -3 / (2 * -0.6) = 3 / 1.2 = 2.5

Now that we have the time at which the ball reaches its maximum height, we can plug this value back into the height function to find the maximum height:

[tex]h(2.5) = -0.6(2.5)^2 + 3(2.5) = -0.6(6.25) + 7.5 = -3.75 + 7.5 = 3.75[/tex]

So, the maximum height the golf ball reached before landing back on the ground is 3.75 yards.

To know more about  golf ball refer here:

https://brainly.com/question/263622

#SPJ11

The cube root of the given function is [tex]x=2\sqrt[3]{2}[/tex].

The given function is x³=16.

Here, the given function can be written as

[tex]x=\sqrt[3]{16}[/tex]

[tex]x=\sqrt[3]{2\times2\times2\times2}[/tex]

[tex]x=\sqrt[3]{2^3\times2}[/tex]

[tex]x=2\sqrt[3]{2}[/tex]

Therefore, the cube root of the given function is [tex]x=2\sqrt[3]{2}[/tex].

Learn more about the radical form here:

brainly.com/question/27272065.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

How do you solve the cube root function of x³=16.

Answer: around 2.6 cm because I rounded to the tenth.

Step-by-step explanation:

r^2=170/8.1×3.14

r^2=170/25.434

r^2≈6.68

Next square root both sides so r^2 becomes r and 6.68 square rooted is about 2.6 cm is the radius.

R≈2.6cm

Let's call the initial number of bacteria in the petri dish as $N_0 = 100$. After 12 hours, the number of bacteria triples, which means there are now $3N_0$ bacteria. After another 12 hours, the number of bacteria triples again, which means there are now $3(3N_0) = 9N_0$ bacteria.

We can see a pattern here that after every 12 hours, the number of bacteria is multiplied by 3. Let's calculate the number of bacteria after 1 hour:

$\sf\implies\:N_1 = N_0 \times 3^{1/12}$

After simplifying:

$\sf\implies\:N_1 = 100 \times 3^{1/12}$

Using a calculator, we can find that $\sf\:3^{1/12} \approx 1.1548$. Therefore:

$\sf\implies\:N_1 \approx{\boxed{115.48}}$

So the equivalent hourly rate at which the number of bacteria is increasing is approximately 15.48% per hour.

In general, if the number of bacteria triples every $t$ hours, the equivalent hourly rate can be calculated as:

$\sf\implies\:r = 3^{1/t} - 1$

where $r$ is the hourly rate expressed as a decimal.

[tex]\begin{align}\huge\colorbox{black}{\textcolor{yellow}{\boxed{\sf{I\: hope\: this\: helps !}}}}\end{align}[/tex]

[tex]\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}[/tex]

[tex]\textcolor{lime}{\small\textit{If you have any further questions, feel free to ask!}}[/tex]

[tex]\huge{\bigstar{\underline{\boxed{\sf{\color{red}{Sumit\:Roy}}}}}}\\[/tex]

For this above box plot prompt, the answer are given below.

Part A

From the box plots, we can see that the Red Team has the least variability and spread of times, followed by the Blue Team and then the Green Team.

The Red Team's box is the smallest, indicating that their times are more tightly clustered together.

Blue Team:

Q1: 75

Q2: 82

Q3: 87

IQR: 12

Upper fence: Q3 + 1.5IQR = 87 + 1.512 = 105

There are no outliers

Green Team:

Q1: 70

Q2: 75

Q3: 80

IQR: 10

Upper fence: Q3 + 1.5IQR = 80 + 1.510 = 95

There is one outlier at 90

Red Team:

Q1: 80

Q2: 83

Q3: 87

IQR: 7

Upper fence: Q3 + 1.5IQR = 87 + 1.57 = 98.5

There are no outliers

Learn more about box plots;
https://brainly.com/question/1523909
#SPJ1

The loan future value is $7726.73.

To find the loan future value, we need to calculate the total amount that Robert will owe at the end of the 2-year loan term, including both the principal (initial loan amount) and the interest.

To begin, we can use the formula for calculating compound interest:

[tex]A = P(1 + r/n)^{(nt)[/tex]

where A is the final amount, P is the principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, we know that the principal is $7200, the interest rate is 4.3% (or 0.043 as a decimal), the loan term is 2 years, and the interest is compounded once per year (n = 1).

Substituting these values into the formula, we get:

A = 7200(1 + 0.043/1)²

A = 7200(1.043)²

A = 7726.73

Therefore, the loan future value is $7726.73. This means that at the end of the 2-year loan term, Robert will owe a total of $7726.73, which includes the original $7200 loan amount and $526.73 in interest.

Know more about future value here:

https://brainly.com/question/14860893

#SPJ11

The regression line equation, can be found to be y = 0.90x - 3.79

Find the slope using the slope formula :

m = ( 5 x 1944 - 98 x 69 ) / ( 5 x 2580 - 98² )

m = ( 9720 - 6762 ) / ( 12900 - 9604 )

m = 2958 / 3296

=  0.8975

Then find the y - intercept :

b = ( 69 - 0. 8975 x 98) / 5

b = ( 69 - 87. 945) / 5

b = - 18. 945 / 5

= - 3.789

The regression equation is:

y = 0.90x - 3.79

Find out more on regression equation at https://brainly.com/question/27997774

#SPJ1

The number of favorable outcomes for spinning the same color twice will depend on the number of colors on the spinner.

If there are only two colors on the spinner, such as red and blue, then there will be only one favorable outcome, which is spinning either red or blue twice.

If there are more than two colors on the spinner, the number of favorable outcomes will depend on the number of times each color appears on the spinner.

For example, if there are four colors on the spinner, and each color appears equally, then there will be four favorable outcomes: spinning red twice, spinning blue twice, spinning green twice, or spinning yellow twice.

In general, if there are n colors on the spinner and each color appears with equal probability, then the number of favorable outcomes for spinning the same color twice will be n.

To know more about probability refer here

https://brainly.com/question/34187875#

#SPJ11

Answer:

Step-by-step explanation:

To solve the triangle, we can use the law of sines and the fact that the sum of the angles in a triangle is 180 degrees.

First, we can find angle A by using the fact that the sum of the angles in a triangle is 180 degrees:

A = 180 - B - C

A = 180 - 92 - 16

A = 72 degrees

Next, we can use the law of sines to find side a:

a/sin(A) = c/sin(C)

a/sin(72) = 32/sin(16)

a = (32*sin(72))/sin(16)

a ≈ 89.4

Finally, we can use the fact that the sum of the angles in a triangle is 180 degrees to find angle B:

B = 180 - A - C

B = 180 - 72 - 16

B = 92 degrees

Therefore, the triangle has angle B = 92 degrees, angle A = 72 degrees, and side a ≈ 89.4.

Answer:

x>3

Step-by-step explanation:

i assume you're solving for x so,

1) rearrange terms,

5x+4>19

2)subtract 4 from both sides

5x+4-4>19-4

3) Simplify

5x>15

4) divide both sides by 5, because they are same factor

\frac{5x}{5} > \frac{15}{5}

5) Finally, the answer is

x>3

Using  trignometric functions the shorter side AD has length a ≈ 25.75 cm and the longer side AB has length b ≈ 34.25 cm.

In the given scenario, we have a rectangle with sides AD and AB. The length of AD is represented as 'a' and is approximately 25.75 cm, while the length of AB is denoted as 'b' and is approximately 34.25 cm. The diagonal AC of the rectangle has a length of 42.3 cm and forms an angle of 53° with AD.

To find the lengths of sides a and b, we can utilize trigonometric functions, specifically cosine and sine. Since we have the length of the diagonal AC and the angle it forms with AD, we can set up the following equations:

cos(53°) = a/42.3

sin(53°) = b/42.3

By rearranging the equations, we can solve for a and b:

a = 42.3 * cos(53°) ≈ 25.75 cm

b = 42.3 * sin(53°) ≈ 34.25 cm

By substituting the given values into the equations, we can determine that the length of AD (a) is approximately 25.75 cm, and the length of AB (b) is approximately 34.25 cm.

These calculations allow us to find the side lengths of the rectangle based on the given information about the diagonal length and angle. Understanding trigonometric relationships enables us to solve geometric problems involving angles, sides, and diagonals in various shapes and configurations.

To know more about trignometric functions refer to

https://brainly.com/question/25618616

#SPJ11

The probability that a randomly selected balloon animal is green and shaped like a dog is 0.231.

The probability is found using the data table given below:

Purple and giraffe = 3; Purple and dog =  3; Green and giraffe = 4; Green and dog = 3

Out of the total number of balloon animals made, the number of green dog balloon animals is 3.

The probability of randomly selecting a green dog balloon animal is found using the formula:

Probability = 3 / (3 + 3 + 4 + 3) = 3/13

Probability = 0.231

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

The absolute maximum occurs at x = -2 and the absolute minimum occurs at x = 0 and x = 2 and  The absolute maximum is at x = -2 and the absolute minimum is at x = 0, 2.
a. The local minimum is at x=2 and there is no local maximum.
b. The local maximum is at x=1 and the local minimum is at x=-2 and x=2.
c. The absolute maximum is at x=0 and the absolute minimum is at x=2.
(Note: To find the absolute maximum and minimum, we need to evaluate the function at the critical points and endpoints of the interval. The critical points are x=0 and x=2, and the endpoints are x=-2 and x=2. The absolute maximum is the largest value among these, which is f(0)=0. The absolute minimum is the smallest value among these, which is f(2)=-4.)
Given the function f(x) = x²(x - 2) on the interval [-2, 2]:

A. To find the local minima and maxima, we need to take the first derivative and find its critical points.

f'(x) = 3x² - 4x
Solving for x, we get x = 0 and x = 4/3.

However, x = 4/3 is not within the interval [-2, 2], so the only critical point within the interval is x = 0.

There is a local minimum at x = 0, and no local maximum. Therefore, the answer is:

A. The local minimum is at x = 0 and there is no local maximum. (Type an integer or a simplified fraction.)

B. For the absolute maximum and minimum, we need to evaluate the function at the endpoints and the critical point within the interval.

f(-2) = (-2)²(-2 - 2) = 16
f(0) = (0)²(0 - 2) = 0
f(2) = (2)²(2 - 2) = 0

The absolute maximum occurs at x = -2 and the absolute minimum occurs at x = 0 and x = 2. The answer is:

B. The absolute maximum is at x = -2 and the absolute minimum is at x = 0, 2. (Use a comma to separate answers as needed. Type integers or simplified fractions.)

To know more about  absolute maximum click here:

brainly.com/question/29030328

#SPJ11

Answer:

The perfect factored square trinomial that is equivalent to the expression x^2 + 8x + 16 is:

(x + 4)^2

To see why this is the case, you can expand the expression (x + 4)^2 using the FOIL method:

(x + 4)^2 = (x + 4) * (x + 4)

= x^2 + 4x + 4x + 16

= x^2 + 8x + 16

So, x^2 + 8x + 16 can be factored as (x + 4)^2, which is a perfect square trinomial.

The perimeter of the rectangle is represented by the expression 4s - 10.

How to calculate perimeter of a rectangle?

To calculate the perimeter of a rectangle, you need to add up the lengths of all four sides.

In the problem given, we know that the rectangle is 6 inches shorter than the square and 1 inch longer.

Let's call the length of the rectangle l and the width w.

We know that the length of the square is equal to its width (since it's a square), so the length of the rectangle must be l = s - 6, and the width must be w = s + 1.

To find the perimeter, we add up all four sides: P = 2l + 2w = 2(s-6) + 2(s+1) = 4s - 10.

Therefore, the expression that represents the perimeter of the rectangle is 4s - 10.

Learn more about perimeter

brainly.com/question/6465134

#SPJ11

The Mean Value Theorem can be used to prove that the square root of 6a+31 lies between two values, where one value is equal to the function evaluated at a divided by the square root of 6, and the other value is equal to the function evaluated at a plus one divided by the square root of 6.

Let f(x) = √(6x + 31) and choose any value of a such that a > -31/6.

By the Mean Value Theorem, there exists some c in (a, a+1) such that:

f(a+1) - f(a) = f'(c)

where f'(c) is the derivative of f(x) evaluated at c.

We have:

f'(x) = 3/√(6x+31)

Thus, we can write:

f(a+1) - f(a) = (3/√(6c+31)) * (a+1 - a)

Simplifying, we get:

f(a+1) - f(a) = 3/√(6c+31)

Since a < c < a+1, we have:

a < c

√(6a+31) < √(6c+31)

√(6a+31) < (3/√(6c+31)) * √(6c+31)

√(6a+31) < f(a+1) - f(a)

Therefore, we can write:

f(a) < √(6a+31) < f(a+1)

f(a) = √(6a + 31)/√6

f(a+1) = √(6(a+1) + 31)/√6

Substituting these values, we get:

(√(6a + 31))/√6 < √(6a+31) < (√(6(a+1) + 31))/√6

Simplifying, we get:

√(6a + 31)/√6 < √(6a+31) < √(6a + 37)/√6

Hence, we have shown that the square root of 6a+31 lies between two values, where one value is equal to the function evaluated at a divided by the square root of 6, and the other value is equal to the function evaluated at a plus one divided by the square root of 6.

For more questions like Function click the link below:

https://brainly.com/question/16008229

#SPJ11

The angle between u and v is approximately 104.66 degrees. To find the angle between two vectors u and v, we can use the dot product formula:

cos(theta) = (u · v) / (||u|| ||v||)

where ||u|| and ||v|| are the magnitudes of u and v, respectively.

First, let's compute the dot product of u and v:

u · v = [tex](4)(5) + (3)(-12) = 20 - 36 = -16[/tex]

Next, we need to find the magnitudes of u and v:

[tex]||u||[/tex] = sqrt([tex]4^2[/tex] + [tex]3^2[/tex]) = 5

[tex]||v||[/tex] = sqrt([tex]5^2[/tex] + (-12[tex])^2[/tex]) = 13

Now we can substitute these values into the formula for cos(theta):

cos(theta) = [tex](-16) / (5 * 13) = -0.246[/tex]

To find the angle theta, we take the inverse cosine of cos(theta):

theta = [tex]cos^-1[/tex](-0.246) = 104.66 degrees

Therefore, the angle between u and v is approximately 104.66 degrees.

Learn more about vectors ,

https://brainly.com/question/29740341

#SPJ4

To determine the best estimation for centering the dresser along the wall, we need to consider the length of the wall and the length of the dresser. Let's call the length of the wall "W" and the length of the dresser "D".

Since we don't know the actual values of W and D, we'll have to work with the given options.

Option A suggests placing the dresser about 6 feet from each end of the wall. This would leave a space of W - 12 feet in the middle of the wall, which would be the total space available for the dresser to be centered.

Option B suggests placing the dresser about 8 feet from each end of the wall. This would leave a space of W - 16 feet in the middle of the wall, which would be the total space available for the dresser to be centered.

Option C suggests placing the dresser about 10 feet from each end of the wall. This would leave a space of W - 20 feet in the middle of the wall, which would be the total space available for the dresser to be centered.

Option D suggests placing the dresser about 12 feet from each end of the wall. This would leave a space of W - 24 feet in the middle of the wall, which would be the total space available for the dresser to be centered.

To find the best estimation for centering the dresser along the wall, we need to determine which option provides the closest match between the available space in the middle of the wall and the length of the dresser.

Without knowing the actual values of W and D, it's difficult to say for certain which option is best. However, we can make an educated guess by considering the lengths of typical bedroom walls and dressers.

Based on this, option C (placing the dresser about 10 feet from each end of the wall) seems like a reasonable estimation for centering the dresser along the wall. This option provides a space of W - 20 feet in the middle of the wall, which is likely sufficient for most dressers.

Of course, the actual placement of the dresser will depend on other factors as well, such as the layout of the room and the location of other furniture. It's always a good idea to measure carefully and test different arrangements before settling on a final placement for any piece of furniture.

To know more about length refer here

https://brainly.com/question/30100801#

#SPJ11

The expression that represents a strategy for estimating the farm's output for 2015 is 1.153w, where w is the farm's wheat output in 2013.

Let w be the farm's wheat output in 2013. We know that the output increased by 9.8% from 2013 to 2014, so the output in 2014 can be estimated as:

w + 0.098w = 1.098w

This expression represents a strategy for estimating the farm's output for 2014.

Similarly, the output in 2015 can be estimated as:

(1.098w) + 0.051(1.098w) = (1 + 0.051)(1.098w)

Simplifying this expression, we get:

1.153w

Therefore, the expression that represents a strategy for estimating the farm's wheat output for 2015 is:

1.153w

where w is the farm's wheat output in 2013 (i.e., 19.8 tons).

So we can estimate the farm's wheat output in 2015 as:

1.153(19.8) = 22.82 tons (rounded to two decimal places)

Note that this is only an estimate, based on the assumption that the percentage increases from 2013 to 2014 and from 2014 to 2015 will continue to hold in the future.

Know more about expression here:

https://brainly.com/question/1859113

#SPJ11

The width of the gravel pathway is 7 meters.

The length of the rectangular garden is 50m and the width is 13m. Let's assume the width of the gravel pathway to be w meters.

The length of the rectangular garden including the two widths of the pathway would be 50+2w meters, and the width including the two widths of the pathway would be 13+2w meters.

The area of the rectangular garden including the pathway is the product of the length and the width:

(50+2w)(13+2w)

We can now set up an equation using the area of the garden and the amount of gravel available:

(50+2w)(13+2w) - 50*13 = 80

Simplifying this equation gives:

4w^2 + 126w - 3196 = 0

This is a quadratic equation that we can solve for w using the quadratic formula:

w = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 4, b = 126, and c = -3196.

Plugging in these values and solving for w gives:

w = 7 or w = -22.75

Since the width of the pathway cannot be negative, the only valid solution is w = 7.

Therefore, the width of the gravel pathway is 7 meters.

Learn more about width at https://brainly.com/question/26813183

#SPJ11

The postulate or theorem that can be used to prove that ΔABC ≅ ΔDCB is the "Side-Side-Side (SSS) theorem".

Hence, the correct option is A.

Since in both triangles ΔABC and ΔDCB, we have

Therefore, by SSS theorem, we can conclude that ΔABC ≅ ΔDCB.

Hence, the correct option is A.

To know more about theorem here

https://brainly.com/question/12725344

#SPJ1

The amount each of them pays when their electricity bill is $110, $165, and $352 respectively, in the ratio 2:4:5, are:

1) $20, $40, $50

2) $30, $60, $75

3) $64, $128, $160

To find out how much each of them pays, we'll use the given ratio of 2:4:5 and divide the total bill among them accordingly.

Total bill: $110

The total ratio is 2+4+5=11.

Greg's share: (2/11) * $110 = $20

Harry's share: (4/11) * $110 = $40

Ian's share: (5/11) * $110 = $50

Therefore, Greg pays $20, Harry pays $40, and Ian pays $50.

Total bill: $165

The total ratio is still 2+4+5=11.

Greg's share: (2/11) * $165 = $30

Harry's share: (4/11) * $165 = $60

Ian's share: (5/11) * $165 = $75

Therefore, Greg pays $30, Harry pays $60, and Ian pays $75.

Total bill: $352

The total ratio remains the same: 2+4+5=11.

Greg's share: (2/11) * $352 = $64

Harry's share: (4/11) * $352 = $128

Ian's share: (5/11) * $352 = $160

Therefore, Greg pays $64, Harry pays $128, and Ian pays $160.

Learn more about ratio

brainly.com/question/13419413

#SPJ11

The conclusion should be made using the Alpha = 0. 05 significance level is because the P-value is greater than Alpha = 0.05, there is not convincing evidence that greater than 75% of puppies are house-trained by the time they are 6 months old. The correct answer is B.

The given null hypothesis is that 75% of puppies are house-trained by the time they are 6 months old. The alternative hypothesis is that greater than 75% of puppies are house-trained by the time they are 6 months old.

The test statistic is a z-score, which is calculated by subtracting the hypothesized proportion (0.75) from the sample proportion (42/50 = 0.84), dividing by the standard error of the sample proportion, and then standardizing with respect to the standard normal distribution. The resulting z-score is 1.47.

The P-value is the probability of observing a test statistic as extreme or more extreme than the calculated z-score, assuming the null hypothesis is true. A P-value of 0.708 means that there is a 70.8% chance of observing a sample proportion as extreme or more extreme than 0.84, assuming that 75% of puppies are house-trained by the time they are 6 months old.

Since the P-value is greater than the significance level (alpha) of 0.05, we fail to reject the null hypothesis. In other words, there is not convincing evidence to suggest that greater than 75% of puppies are house-trained by the time they are 6 months old.

Learn more about hypothesis at https://brainly.com/question/30461126

#SPJ11