Huilan is 15 years older than Thomas. The sum of their ages is 115 . What is Thomas's age?

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

X = 276°

Step-by-step explanation:

Divide X into x1 and x2

then then using the trick of co-interior angles, find the answer of x1 and x2 . then add x1 and x2

If the temperature fell to 193 F in 0.6 hours (s), what will it be after 4 hours (s)We have to find the temperature after 4 hours.We have given the differential equation as, dT/dt = k(T-73).

We are given that,

T = 305°F when

t = 0 and

T = 193°F when

t = 0.6 hr

Putting the values in the above equation, we have:

dT/dt = k(T-73)dT/dt

= kT - 73kdT/(kT - 73)

= dtln|kT - 73|

= t + C ... (1)

Now, let's put the values of

T = 305°F when

t = 0 and

T = 193°F when

t = 0.6 hr in equation (1).

ln|k(305) - 73|

= 0 + Cln|232k|

= C... (2)ln|k(193) - 73|

= 0.6 + Cln|120k|

= C...

Hence, after 4 hours the temperature of the object will be approximately 673.97°F:Given: Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 305° F and left to cool in a room at 73°F, its temperature T' after 1 hour will satisfy the differential equation dT/dt = k(T-73)

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Answer:

\( \frac{5}{6} \)

Step-by-step explanation:

Out of those 5 sides, we need to be able to see a 3 from a 6 sided dice.

The total will always be your demoninator and since we was looking at sides, we just need a side that has a 3.

theres a slight chance of spinning a 6 0.06

Answer:

A) 83 km/ hour

B) 2/7 penalties / game

C) $16 / CD

D) 9 donuts / box

Step-by-step explanation:

A)

For this question they are asking for the distance traveled in 1 hour.

Since 747km was travelled in 9 hours, we divide 747 by 9 to find the distance travelled in 1 hour

747 ÷ 9 = 83

The unit rate is 83 km/ hour

B)

You have to find the number of penalties per game

Like before divide 10 by 35:

10 ÷ 35 = 10/35 = 2/7

2/7 penalties / game

C)

Find the cost of 1 CD :

64 / 4 = 16

$16 / CD

D)

Find the amount of donuts per box:

72/8 = 9

9 donuts per box

-Chetan K

Answer:

1. 83 km per hour

2. ?

3. 16 dollars per cd

4. 9 per box

Step-by-step explanation:

You just divide the first one by the second one

Answer:

5.70

Step-by-step explanation:

9.50 / 5 = 1.90/lb paid

so she should expect to pay 3 lbs x 1.90/lb = 5.70

Answer: -10,-5,3,15

A,C,D,E

The next one is a= -5, b=1, c=-5, d=-12

The last one is 3 & 4

The rational root theorem is used to determine the potential roots of a function.

The potential roots are: \(\mathbf{-10, -5, 3, 15}\)

The function is given as:

\(\mathbf{P(x) = x^3 + 6x^2 - 7x - 60}\)

For a polynomial function:

\(\mathbf{P(x) = px^n +.............+ q}\)

The potential roots are:

\(\mathbf{Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}}\)

The factors of 60 are:

\(\mathbf{60 = \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}\)

The factor of 1 is:

\(\mathbf{1 = \pm 1}\)

So, we have:

\(\mathbf{Factors= \frac{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}{\pm 1}}\)

\(\mathbf{Factors= \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}\)

The potential roots in the option are:

\(\mathbf{Factors= -10, -5, 3, 15}\)

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The work to empty a parabolic tank filled with water which can be seen as the rotation about the y-axis of the function is -ρgπ(a³ - b²(3a - 2b))/6.

The equation of parabola is y = x². Therefore x = √y. Let us assume the parabolic tank is of height (a-b) where a is the y-coordinate of the top of the tank and b is the y-coordinate of bottom of the tank.

The work done to empty the parabolic tank filled with water is the integral (summation) of the work done to remove a circular area strips of height dy from height y to b.

Work done = ∫dW

= ∫FΔy

= ∫ρgdVΔy

= ∫ρg(y - a)dV  

Volume of the circular area strip ,dV = πr²dy  

= πx²dy

= π(√y)²dy

= πydy

Total work done to empty the tank = ₐ∫ᵇρg(y - a)dV

= ₐ∫ᵇρgπy(y - a)dy

= ρgπ[y³/3 - ay²/2]ₐᵇ

= ρgπ(b³/3 - a³/3 - ab²/2 + a³/2)

= -ρgπ(a³ - b²(3a - 2b))/6

The work done is negative when emptying the tank.

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Answer:

7 1/2 pounds

Step-by-step explanation:

5 x 24 = 120

16oz = 1 pound

120oz = 7 1/2 pounds

Answer:

7.5 lbs of raisins

Step-by-step explanation:

24 x 5 = 120 ounce (oz)

1 lb = 16 oz

120 ÷ 16 = 7.5 lbs

Answer:

3

Step-by-step explanation:

 x3+y3+z3=k

and k =42

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a,

where a is a constant.

What is the value of a?

Step-by-step explanation:

Answer:

yup. whole numbers begin from zero

so any whole number times any whole number will give me a whole number

eg 0×4=0

67×98765=6617255

etc

note. a negative number isn't a whole number

The correct answer is d. emergent.

An emergent leader is an individual who grows into the leadership role naturally, often due to circumstances or necessity. They are not appointed or assigned to the position of leadership but rather emerge from the group or organization based on their skills, qualities, or actions.

Emergent leaders may possess certain qualities or demonstrate their competence and ability to guide and influence others. They gain recognition and respect from their peers, leading to their emergence as leaders within the group or organization.

This type of leadership often occurs in situations where formal leadership structures may be absent or ineffective, and individuals step up to take charge based on their capabilities and the needs of the group.

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Answer:43

Step-by-step explanation:

Answer:

2 1/6

Step-by-step explanation:

3 ÷ 2 = 1 1/2

1 1/2 + 2/3 = 2 1/6

:)

Answer:

-9x+5y=-4

Step-by-step explanation:

Answer:

m= 9/5

Step-by-step explanation:

Parallel lines have the same slope.

So if you can find the slope of the given line, you have the slope you want.

Change the line into the form

y=mx + c

The value of m

will be the slope of the line.

9x −4 = 5y ← to make the y term positive

y=9/5x − 4/5

m=9/5

The best interpretation of the results would depend on the specific statistical analysis used and the results obtained.

The results indicated a statistically significant difference between the mean anticipated study times for men and women, the interpretation would be that men and women have different average anticipated study times for the introduction to statistics course.

Conversely, if there was no statistically significant difference, the interpretation would be that there is no evidence to suggest that men and women have different average anticipated study times for the course.

As the Minitab results are not provided in the question, I cannot interpret them.

Provide a general interpretation of the statistical analysis based on the information given.

The instructor was interested in seeing if there was a difference in the average amount of time that men and women anticipated studying for an introduction to statistics course in the summer.

To test this hypothesis, a group of men and women were randomly selected from the University of Florida.

The statistical analysis may have involved using a t-test or a similar method to compare the mean anticipated study times between men and women.

The results of this analysis would provide information on whether there is a statistically significant difference between the mean anticipated study times for men and women.

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In the given figure, for Angle X and Angle Y to be equal, line AB and CD should be parallel.

Therefore, the answer is CHOICE 2 : The lines are parallel.

Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be \(100\%-0.8\%=99.2\%\) of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

\(f(x)=157,220\cdot 0.992^x\), where \(f(x)\) is the population of the town \(x\) years after the town had a population of 157,220.

Substitute \(x=5\) into this equation to get the projected population after 5 years:

\(f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}\)

Therefore, in 5 years, the population should be 151,031.

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

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Answer:

there is no pic

Step-by-step explanation:

Answer:?

Step-by-step explanation:

?

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

\(\qquad❖ \: \sf \:h(x) = - \cfrac{1}{3} x + 2\)

we need to find -4 h(9) :

\(\qquad❖ \: \sf \: - 4 \: h(9)\)

\(\qquad❖ \: \sf \: - 4 \bigg(- \dfrac{1}{3} \times 9 + 2 \bigg)\)

\(\qquad❖ \: \sf \: - 4( - 3 + 2)\)

\(\qquad❖ \: \sf \: - 4( - 1)\)

\(\qquad❖ \: \sf \:4\)

\( \qquad \large \sf {Conclusion} : \)

\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)

Answer:

See attachment for histogram

The histogram is left skewed

Step-by-step explanation:

Given

\(40, 47, 37, 42, 46, 31, 50, 41, 17\)

\(43, 46, 45, 21, 43, 45, 23, 49, 50\)

\(48, 26, 42, 46, 35, 52, 27, 51, 31\)

\(44, 35, 27, 46, 39, 33, 50, 45, 50\)

Solving (a): Construct a histogram

First, we construct a frequency table

Calculate Range

\(Range = Highest - Least\)

\(Range = 52 - 17\)

\(Range = 35\)

Using a class width of 5, we have the following classes:

\(17 - 22; 23 - 28; 29 - 34; 35 - 40; 41 - 46; 47 - 52\)

So, the frequency table is:

\(\begin{array}{ccccccc}{Class} & {17-22} & {23-28} & {29-34} & {35-40} & {41-46} & {47-52} \ \\ {Count} & {2} & {4} & {3} & {5} & {13} & {9} \ \end{array}\)

See attachment for histogram

From the attached histogram, we can see that the height of the bars of the histogram tend to increase towards the left.

Hence, the shape of the histogram is left skewed

Answer:

A) C = 211

B) C = 15.05

Step-by-step explanation:

To get your answer you need to subtract the final answer with the number in the equation. So... 458 - 247 = 211. Hence C is 211  

it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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As per the given points, the distance is 0.08 meter.

The term distance in math is known as the length of the line joining the two points.

Here we have given that over a period of one year and the two points on opposite sides of a mid-ocean ridge moved a distance of 4 centimeters farther apart.

Here we have to calculate the distance between the two point in  meter.

Let us consider that x be the distance between the two points.

As we know that in each side there is 4 centimeter distance.

Then the total distance between the two points,

=> 4 x 2 = 8 centimeter.

Then the meter equivalent is calculated as,

=> 8/100 = 0.08

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Answer:

C

Step-by-step explanation:

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) will be  (x^5-3x -3 - 24x/(x²-5)) polynomial.

Quotients are the number that is obtained by dividing one number by another number.

The quotient of the given expression (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.

(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5

p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)

= x^5 -3x - 3 - 24x/(x² - 5)

x^5 3x³ + 15x

x^5 - 3x² - 24x + 15

x^5 - 3x² + 15

0 - 24x + 0

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