10.
rewrite the following passage / sentences using eight of the
punctuation marks wherever necessary.
8 x 12 = 4
i did not learn how to be a father from manuals whatever little i
learnt about being a parent i learnt by observing my children and
5
p.t.o
letting them teach me similarly i think our teachers could grow
enormously by learning from their students
??

Answer:

y = 4(2x) - 3

Step-by-step explanation:

linear functions are written like y =mx + b or y = kx

They must have "x" in it and there cannot be a square root or exponent near x.

y = -2 does not have an x therefore it is not a linear equation

x² + y = 1 has an exponent so write away we can eliminate this because linear equations cant have exponents

y = 2√x has a square root so we can eliminate this answer choice as well

y = 4(2x) - 3 simplifies to y = 8x - 3 which is put in y = mx + b which is linear therefore this is the answer

No ,the team will not make the first down.

The definition of a yard is an outdoor area of a house or other building. An example of a yard is the lawn in front of your house; a front yard. An example of a yard is the area around a train repair center where trains are stored; a rail yard.

the first of a series of usually four downs in which a football team must net a 10-yard gain to retain possession of the ball.

If the team with the ball can pick up one yard or more on the third-down play, then they will be given a first down, which means they get to start all over with a new set of four downs. A team can continue moving the football down the field as long as they continue to pick up first downs.

we have been given that -

the ball forward at least 10 yards from its starting point to make a first down if the team has 2 losses of 2 yards each and a gain of 12 yards

Here are the integers that are represented by the scenario.

-2 + -2  = -4

-4 + 12 =8 yard gain.

There are 2 yards less of the first down.

Hence, the team will not make the first down.

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Answer:

Please see below :)

Step-by-step explanation:

Angle 2 is congruent to angle 3 by definition of angle bisector.

Angle 1 is congruent to angle 3 by the transitive property of congruence.

Please let me know if something's wrong!

The missing values are:

<2 = 1/2 ∠BDE by Angle Bisector Theorem.

<3 = 1/2 ∠BDE by the transitive property

It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.

So, <1 and <2 are corresponding angles.

Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.

It is also given that DC bisects ∠BDE,

So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.

Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.

Therefore, <1 ≅ <3 by the transitive property of congruence.

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Solution

- The question asks us for which property is used in the following equation

- The question uses the Commutative Property of Multiplication.

- This property is stated below:

Final Answer

The answer is Commutative Property of Multiplication

As per the boundary, the steady state solution of the problem is u(x,1)

The boundary conditions of a PDE are crucial in determining the behavior of the solution.

With this new setup, we can write u(x,1) = Usteady state(x) + U(x,0). This equation tells us that the original solution u(x,1) is equal to the steady-state solution plus the transient solution U(x,0).

The transient solution U(x,t) describes how the system evolves from the initial condition to the steady-state solution over time.

To find the steady-state solution, we first need to solve the homogeneous PDE for U(x,t), which is given by U, = Uxx, with the boundary conditions U(0,t) = 0 and U(1,t) = 0, and the initial condition U(x,0) = Usteady state(x) - u(x,1).

Once we have found U(x,t), we can add it to the steady-state solution Usteady state(x) to obtain the original solution u(x,1).

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Answer: Its is 1

Step-by-step explanation:

Answer:

166.47 lb

Step-by-step explanation:

Calculate 93 times 1.79 pounds:

93    179 lb

---- * ---------- = 166.47 pounds

  1       100

Answer:

166.47

Step-by-step explanation:

1.79 x 93 = 166.47

Answer: 155.6

Step-by-step explanation:

38.9 x 4 = 155.6

Let me know if this helps!

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

The margin of error is approximately 0.014 grams, rounded to three decimal places.

To construct a 98% confidence interval for the mean of repeated measurements of the weight, we can use the following formula:

CI = x ± z × (σ/√n)

Where:
x = mean result = 10.230 grams
σ = standard deviation of scale readings = 0.020 gram
n = number of repeated measurements = 40
z = z-score for 98% confidence interval = 2.326

Plugging in the values, we get:

CI = 10.230 ± 2.326×(0.020/√40)
CI = 10.230 ± 0.014
CI = (10.216, 10.244)

Therefore, the 98% confidence interval for the mean of repeated measurements of the weight is (10.216, 10.244) grams.

The margin of error is the difference between the upper and lower bounds of the confidence interval divided by 2, so:

Margin of error = (10.244 - 10.216)/2
Margin of error = 0.014

Thus, the margin of error is 0.014 grams.

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Answer: 1. 35 5/6 - 4 1/2

2. 1 5/8 - 2/3

3. 1 5/8 + 2/3

4. 35 5/6+4 1/2

Step-by-step explanation:

1. E=Eli. J=Jamison

E=J+4 1/2

35 5/6=J+4 1/2

J=35 5/6 - 4 1/2

2. s=cups of strawberries

b=cups of blueberries

m=more cups of b than s

m=b-s

m=1 5/8 - 2/3

3. o=original length of patio.

i=increase in length of patio

t=total length of patio after increase.

o+i=t

1 5/8 + 2/3=t

4. p=pine tree. a=palm tree. i=inches taller

p+i=a

35 5/6+4 1/2=a

The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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The correct answer is b. On average, LinkedIn users would send between 5.48 and 8.72 total messages per year with the new algorithm.

The 95% confidence interval provided by Yue Bing suggests that the true difference in the average number of messages sent per year between the two groups of users (those using the new algorithm and those using the old algorithm) is likely to be between 5.48 and 8.72. This means that we can be 95% confident that the true difference in the average number of messages sent per year falls within this range. It does not necessarily mean that all LinkedIn users will send more or fewer messages with the new algorithm, but rather that the average number of messages sent by users using the new algorithm is likely to be within this range.
Your answer: d. On average, all LinkedIn users would send more messages with the new algorithm than with the old algorithm.

Explanation: Yue Bing computed a 95% confidence interval for the difference between the two parameters, which is (5.48, 8.72) messages per year. Since the entire interval is positive, this indicates that the new recommendation algorithm likely leads to an increase in the average number of messages sent by LinkedIn users compared to the old algorithm.

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The blanks representing the numerator and the denominator are filled as follows

numerator  : 2d

denominator:  t²

The equation given in the problem is

d = 1/2 * a * t²

To make a the subject of the formula we take the following steps

multiply each side by 2

2 * d = a * t²

divide both sides by t²

2 * d / t² = a

rearranging

a = 2 * d / t²

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The conclusion that supports that Joaquin wins the game is:

Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

In a data set involving an array of numbers, the median is usually the middle number after the data sets are arranged in order of magnitude from the lowest to the highest.

From the given information:

Now, by rearranging the array of numbers, we have:

Therefore, we can conclude that Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

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Answer:

6 days

Step-by-step explanation:

1,800 x 2 (1,800 times two six hour shifts) = 3600

18,600/3600 = 5.1....

Its over 5 days and you can't have 5.1 of a day so you have to go with 6

Answer:

Step-by-step explanation:

3x+4=31

subtract 4 on both sides That gives you

3x=27

now divide 27 by 3

that gives you X=9

———————————————-

3(2x+1)

you distribute 3 into the parentheses

so 3 x 2x is 6x 3x1 is 3

so its 6x+3

————————————————

1/2(16x-8)=2(x+16)

first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right

which gives you 8x-4=2x+32

then you combine like terms 8x+2x is 10x and -4+32 is 28

so you answer to this one is 10x+28

Answer: Ok while i was working out this problem I started by multiplying so i started by 5

2.50 x 5 = 12.5

3.25 x 5 = 16.25 then I added then and got 28.75. So i was like i should go higher. I picked 7.

2.50 x 7 = 17.5

3.25 x 7 = 22. 75 then I added those two and got 40.25 when i got that I was like yes, Im getting closer. So i picked 9 then I got..

2.50 x 9 = 22.5

3.25 x 9 = 29.25 and that equaled 51.75

so then i was like oh! Taxes so I think the answer might be 8. 46 plus tax lol.

Step-by-step explanation:

The answers are : mean = 0, standard deviation = 1, skewed to the right.

And the correct option is A.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Given:

The mean finish time for 48 racers who finished the grueling 50 km cross-country ski race at the Olympics is 2.164 hours,

and the standard deviation is 0.85 hours.

That means, we have;

μ = 2.164 and σ = 0.85

So, the z-score;

z = (\(\bar x\) - μ) / σ

z =  (\(\bar x\) - 2.164) / (0.85)

The mean of z-score is,

E(z) = E (\(\bar x\)) - μ / σ

E(z) = μ  - μ / σ

E(z) = 0 / σ

E(z) = 0

SD of z-score is,

SD (z) = SD(\(\bar x\)) - μ / σ

SD (z) = SD(\(\bar x\)) - 0 / σ

SD (z) = SD(\(\bar x\)) / σ

SD (z) = σ / σ

SD (z) = 1

Median of the distribution \(\bar x\) ≈ 2.13.

It responds to cumulative relative frequency of 0.50.

Median < mean

The coefficient of skewness is given by;

S = 3 (median - mean) / σ

S = 3 (2.164 - 2.13) / σ

S > 0

That means, the shape of the distribution of z - score is skewed to the right.

Therefore,  mean = 0, standard deviation = 1, skewed to the right.

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Answer:

Length of the square poster = 6.1 in

Step-by-step explanation:

Area of a square poster = 37 in^2

Area of a square = length^2

37 = lenght ^2

Find the square root of both sides

√37 = √ length ^2

Length = 6.0828 in

Approximately

Length of the square poster = 6.1 in

The triangles AEB and DEC describes AA similarity .

What is AA Similarity ?

Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .

In the question ,

a figure is given .

in triangle AEB and triangle DEC ,

we can see that ,

∠AEB ≅ ∠DEC    ,   because they are vertically opposite angles .

On rotating triangle CED by  180° around the point E, then the translate point D to point A confirms  ∠EAB ≅ ∠EDC.

Since two angles are Congruent

So , By AA Similarity , triangles AEB and DEC are Congruent .

Therefore , the triangles AEB and DEC are Congruent .

The given question is incomplete , the complete question is

Which of the following triangles in the given figure describes AA similarity ?

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Answer:

"HL" in geometry typically refers to "Hypotenuse-Leg". This term is often used when talking about right-angled triangles, where the hypotenuse is the longest side, opposite the right angle, and the legs are the two shorter sides adjacent to the right angle.

a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

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The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.

Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.

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The given differential equation is y"-9y'+20y=0.

Let us use the characteristic equation to solve this differential equation.

The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.

Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0. 

Therefore, r = 5 and r = 4.

Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x

where c₁, c₂ are constants.

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Let's try to understand how we can solve this equation

Given equation,4f+2=6f-12

Now we will take the terms on one side and constants on the other.

=> 2+12=6f-4f

=> 14=2f

=>7=f

So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.

Answer:

a. m = 2, b = 1

b. m = 2/5, b = -4

Step-by-step explanation:

m is simply the slope of the line, which is the coefficient of x in such equations.

b is the y-intercept, or the value of y when x = 0

Answer:

20.2 miles

Step-by-step explanation:

This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:

\(/hyp/^{2}\) = \(/adj1/^{2}\) + \(/adj2/^{2}\)

\(/24/^{2}\) = \(/x/^{2}\) + \(/13/^{2}\)

576 = \(x^{2}\) + 169

\(x^{2}\) = 576 - 169

   = 407

x = \(\sqrt{407}\)

  = 20.1742

x = 20.2 miles

The glider has to fly 20.2 miles to return to the airport.

The particular solution of the differential equation that satisfies the initial condition f(0) = 3 is f(x) = 3x^2 + 3.

To solve the differential equation f'(x) = 6x, we can integrate both sides with respect to x:

∫f'(x) dx = ∫6x dx

f(x) = 3x^2 + C

where C is the constant of integration.

To find the particular solution that satisfies the initial condition f(0) = 3, we can substitute x = 0 and f(x) = 3 into the equation above:

3 = 3(0)^2 + C

C = 3

Therefore, the particular solution of the differential equation that satisfies the initial condition f(0) = 3 is:

f(x) = 3x^2 + 3.

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Answer:

x=3

Step-by-step explanation:

3 squared is 9. 9 plus 2 times 2=22 each of the sides on the angle are 11. 22 plus 22= 44. then 3 -1 equals 2. 44 minus 4 equals 40. equaling the area