The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.

Answer:

put angel sum property on it

Step-by-step explanation:

39 + 73 + x = 180

112 + x = 180

x = 180 - 112

x = 68

put degree sign over it

Hope its help you

Domain of the given function is R - {-4}. and Range of the function will be a real number.

What is a function ?

A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.

A function is given which is f(x) = [x² - 3x - 28] / (x + 4). We have to find out the domain and ranges of the given function.

Domain will be :

f(x) = \(\frac{x^{2} - 3x - 28}{x+4}\)

f(x) = [x² - 7x + 4x - 28] / (x+4)

f(x) = [x(x-7) + 4(x-7)] / (x+4)

f(x) = [(x-7) (x+4)] / (x+4)

Here, the function f(x) is defined only if :

x+4 ≠ 0

x ≠ -4  

So , domain will be : R - {-4}.

Now , Range will be :

y = [(x-7) (x+4)] / (x+4)

y = x  - 7

or

x = y + 7

So , range will be a real number.

Therefore , Domain of the given function is R - {-4}. and Range of the function will be a real number.

Learn more about domain and ranges here :

https://brainly.com/question/1942755

#SPJ1

The probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.

For the stated question-

Estimate the probability for the consumed pizzas.

P(x > 90/10) = P(x = 9)

P(x = 9) = P[x - μ/ σ/√n > z > (9 - 10) / (3/√10)]

P(x = 9) = P(z > -1.05)

P(x = 9) = 1 - P(z > -1.05)

P(x = 9) = 1 - 0.1469

P(x = 9) = 0.8531

Thus, the probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.

To know more about the Large Population Z-test, here

https://brainly.com/question/16415790

#SPJ4

The complete question is-

The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 3.

what is the probability that in a random sample of size 10, a total of more than 90 pizzas are consumed? (hint: what is the mean number of pizzas consumed by the sample of 10 students?)

Answer:

200+40+3+0.7+0.09

Step-by-step explanation:

The correlation coefficients off both the scatter plots are mentioned above.

        \(${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}\)

       where \({\displaystyle s'_{x}}\) and \({\displaystyle s'_{y}}\) are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

#SPJ5

Answer:

Your answer would be √10, or square root of 10.

The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

For more such question on equivalent . visit :

https://brainly.com/question/2972832

#SPJ8

Burak'ın aldığı vişne suyu miktarı = (100 + x) ml

Burak'ın aldığı şeftali suyu miktarı = (200 + 2x) ml

Burak'ın aldığı toplam meyve suyu miktarı = 375 ml

Bu ifadeler aşağıdaki gibi bir denklem olarak yazılabilir :

\( =\tt 100 + x + 200 + 2x = 375\)

\( = \tt100 + 200 + x + 2x = 375\)

\( =\tt 300 + 3x = 375\)

\( = \tt3x = 375 - 300\)

\( =\tt 3x = 75\)

\( =\tt x = \frac{75}{3} \)

\(\hookrightarrow\color{plum}\tt x = 25\)

Böylece x = 25'in değeri

Burak'ın aldığı vişne suyu miktarı :

\( =\tt 100 + 25\)

\(\color{plum} = \tt125 \: ml\)

Böylece Burak'ın aldığı Berry suyu miktarı = 125 ml

Burak'ın aldığı şeftali suyu miktarı :

\( =\tt 200 + 2 \times 25\)

\( =\tt 200 + 50\)

\(\color{plum} = \tt250 \: ml\)

Böylece Burak'ın aldığı şeftali suyu miktarı = 250 ml

○=> Bu nedenle :

▪︎Burak'ın aldığı meyve suyu miktarı = 125 ml

▪︎Burak'ın aldığı şeftali suyu miktarı = 250 ml

(a) The pdf for X is \(f(x) = 12e^(-12x).\)

(b) The probability that the first customer arrives within the first hour is approximately 0.632.

(c) The expected value or mean waiting time for the first customer to arrive is 1/12 hours, approximately 5 minutes.

(a) Let X denote the waiting time (in hours, counted from the shop opening at 9am) for the first customer to arrive. We are given that customers arrive at a mean rate of 2 customers every ten minutes, which can be converted to a rate of 12 customers per hour.

Since the arrival rate follows a Poisson process, the probability density function (pdf) for X can be expressed as:

\(f(x) = λe^(-λx)\)

Where λ is the arrival rate and x is the waiting time.

In this case, λ = 12 customers per hour. Therefore, the pdf for X is:

\(f(x) = 12e^(-12x)\)

(b) To find the probability that the first customer arrives within the first hour (0 ≤ X ≤ 1), we need to calculate the integral of the pdf within this range:

\(P(0 ≤ X ≤ 1) = ∫[0,1] 12e^(-12x) dx\)

Integrating this expression gives us:

\(P(0 ≤ X ≤ 1) \\= [-e^(-12x)] from 0 to 1P(0 ≤ X ≤ 1) \\= -e^(-12) + 1\)

Therefore, the probability that the first customer arrives within the first hour is -e^(-12) + 1, which is approximately 0.632.

(c) To find the expected value or mean of X, we need to calculate the integral of xf(x) over the entire range of X:

\(E(X) = ∫[-∞,+∞] x * 12e^(-12x) dx\)

Integrating this expression gives us:

\(E(X) = [-xe^(-12x) + (1/12)e^(-12x)] from 0 to ∞\\E(X) = [0 - 0 + (1/12)] - [0 - 0 + (1/12)e^(-12∞)]\\E(X) = 1/12\)

Therefore, the expected value or mean waiting time for the first customer to arrive is 1/12 hours, which is approximately 5 minutes.

To know more about probability, visit:

https://brainly.com/question/31470148

#SPJ11

Time taken for the both train to meet each other is 1.8  hours

The distance between two stations = 360 miles

The speed of one train = 95 miles per hour

The speed of the second train = 105 miles per hour

The relative speed of the trains = 95 + 105

Add the numbers

= 200 miles per hour

We know

Speed = Distance / Time

The time = Distance / Speed

The time taken for the two trains to meet = Distance / relative speed

Substitute the values in the equation

= 360 / 200

= 1.8 hours

Therefore, both trains will meet each other after 1.8 hours

I have answered the question in general, as the given question is incomplete

The complete question is:

Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 105 miles per hour. How long will it take for the two trains to meet?

Learn more about relative speed here

brainly.com/question/13083493

#SPJ4

Answer: Where they bisect each other at W the 2 lines  are split in the center by one another which means both of those lines are 180

Step-by-step explanation:

Answer:

  SAS

Step-by-step explanation:

You have segments UT and VS bisecting each other at point W, and you want to show triangles UWV and TWS ae congruent.

Each half of the segment is congruent to the other half:

  UW≅TW and VW≅SW

The angles between them are vertical angles so are congruent:

  ∠UWV ≅ ∠TWS

So, you have congruent corresponding sides and the angle between. The triangles UWV and TWS are congruent by the SAS congruence postulate.

__

Additional comment

You can use substantially the same argument to say triangles UWS and TWV are congruent. The proof above shows UV≅TS. The congruence of triangles UWS and TWV shows US≅TV. Hence the figure TSUV is a parallelogram.

since a year is 12 months thus six months is 6/12 of a year, now let's assume a year is 365 days.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases}\)

\(A = 1000\left(1+\frac{0.045}{365}\right)^{365\cdot \frac{1}{2}} \implies A = 1000\left( \frac{73009}{73000} \right)^{182.5} \\\\\\ A\approx 1022.75\hspace{5em}\underset{ \textit{earned interest} }{\stackrel{ 1022.75~~ - ~~1000 }{\approx \text{\LARGE 22.75}}}\)

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

To know more about ideal gas law refer here:

https://brainly.com/question/30458409#

#SPJ11

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

To learn more about speed, visit:

https://brainly.com/question/7359669

#SPJ1

Based on the given information, the calculation of the stock's intrinsic value suggests that you would be willing to pay a certain amount for Consolidated Edison stock. The annual dividend is $3 per share, with an expected growth rate of 10% and a required rate of return of 16%.

To determine the intrinsic value of a stock using the dividend growth model, you can use the formula: Intrinsic Value = Dividend / (Required Rate of Return - Growth Rate). Applying this formula, the intrinsic value of the stock can be calculated as follows: $3 / (0.16 - 0.10) = $3 / 0.06 = $50.

Therefore, based on the given information, you would be willing to pay up to $50 for Consolidated Edison stock. It is important to note that this calculation assumes a constant growth rate and does not account for other factors that may influence the stock's value, such as market conditions, company performance, or industry trends. It is always advisable to conduct further research and analysis before making any investment decisions.

Learn more about value here:

https://brainly.com/question/30145972

#SPJ11

The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

Learn more about Regular Expression

brainly.com/question/32344816

#SPJ11

Answer:

Hey there,

The answer is below!!

Step-by-step explanation:

Knowing that those vectors start at the point (0,0) we can "think" them as lines.

As you may know, two lines are parallel if the slope is the same, then we can find the "slope" of the vectors and see if it is the same.

A) the vectors are: (√3, 1) and (-√3, -1)

You may remember that the way to find the slope of a line that passes through the points (x1, y1) and (x2, y2) is s = (y2 - y1)/(x2 - x1)

Because we know that our vectors also pass through the point (0,0)

then the slopes are:

(√3, 1) -----> s = (1/√3)

(-√3, -1)----> s = (-1/-√3) =  (1/√3)

The slope is the same, so the vectors are parallel.

Part B:

The vectors are: (2, 3) and (-3, -2)

the slopes are:

(2, 3) -----> s = 3/2

(-3, -2)----> s = -2/-3 = 2/3

the slopes are different, so the vectors are not parallel.

A buffer solution is a aqueous solution

The pH of a solution can be calculated using the expression:

pH = -log[H+]

where [H+] is the concentration of hydrogen ions in the solution.

To find the concentration of hydrogen ions in the given solution, we need to first calculate the concentration of acetate ions ([ac-]), since acetic acid (HAc) and sodium acetate (NaAc) form a buffer solution.

The dissociation of acetic acid can be represented by the equation:

HAc ⇌ H+ + Ac-

The equilibrium constant expression for this reaction is:

Ka = [H+][Ac-] / [HAc]

We know the concentration of acetic acid (HAc) is 4.5 x 10^-3 M. We also know that, for a buffer solution, the concentration of the acid and the conjugate base (Ac-) are related by the equation:

Ka = [H+][Ac-] / [HAc]

= [H+][Ac-] / (4.5 x 10^-3)

Solving for [Ac-], we get:

[Ac-] = Ka x [HAc] / [H+]

= (1.8 x 10^-5) x (4.5 x 10^-3) / [H+]

= 8.1 x 10^-8 / [H+]

Now we can use the fact that the dissociation of sodium acetate (NaAc) is 100% to find the concentration of hydroxide ions ([OH-]) in the solution:

NaAc → Na+ + Ac-

Since NaAc dissociates 100%, [Ac-] = [Na+] = 4.5 x 10^-3 M.

Now we can use the fact that the solution is a buffer solution to calculate the concentration of hydrogen ions ([H+]). For a buffer solution, the Henderson-Hasselbalch equation can be used:

pH = pKa + log([Ac-] / [HAc])

where pKa is the dissociation constant of the acid.

The pKa of acetic acid is 4.76, so:

pH = 4.76 + log([Ac-] / [HAc])

= 4.76 + log(4.5 x 10^-3 / (8.1 x 10^-8 / [H+]))

= 4.76 + log(5.56 x 10^4 [H+])

= 4.76 + 4.74 + log[H+]

= 9.50 + log[H+]

Finally, we can solve for [H+]:

[H+] = 10^(-pH)

= 10^(-9.50)

= 3.16 x 10^-10 M

Therefore, the pH of the solution is:

pH = -log[H+]

= -log(3.16 x 10^-10)

= 9.50

learn about buffer solution,

https://brainly.com/question/2131477

#SPJ11

Answer:

24/25

Step-by-step explanation:

96% as a fraction -

96/100

simplify -

24/25

HOPE IT HELPS :)

To derive standard formulae for the range and height of a projectile, we can apply the equations for 1-dimensional motion separately to the vertical (y) and horizontal (x) directions.

By considering the initial velocity, time of flight, and the effects of gravity, we can determine the range and maximum height attained by a projectile.

When analyzing the motion of a projectile, we can break it down into its vertical and horizontal components. In the vertical direction, the motion is influenced by gravity, while in the horizontal direction, there are no forces acting on the projectile (assuming no air resistance).

For the vertical motion, we can use the equation:

\(y = y_0 + v_{0y}t-\frac{1}{2} gt^2\),

where y is the vertical position, \(y_o\) is the initial vertical position, \(v_{0y\) is the initial vertical velocity, t is time, and g is the acceleration due to gravity. This equation allows us to calculate the maximum height reached by the projectile.

In the horizontal direction, since there are no forces acting on the projectile, the equation \(x = x_0 + v_{0x}t\) can be used.

Here, x is the horizontal position, \(x_0\) is the initial horizontal position, \(v_{0x\) is the initial horizontal velocity, and t is time.

By rearranging this equation, we can solve for time, which we can then substitute back into the vertical equation to find the maximum height and time of flight.

Using these equations, we can derive standard formulae for the range and height of a projectile.

The range (R) is given by:

\(R = v_{0x}t\),

where \(v_{0x}\) is the initial horizontal velocity and t is the time of flight.

The maximum height (H) is determined by substituting the time of flight into the vertical equation and solving for y.

By applying these equations separately to the vertical and horizontal directions, we can analyze the motion of a projectile and derive standard formulae for its range and height.

To learn more about initial velocity visit:

brainly.com/question/28395671

#SPJ11

The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

To learn more about linearly independent vectors visit:

https://brainly.com/question/31328368

#SPJ1

Answer:

-25

Step-by-step explanation:

2 x (-5)² - 3 ( -9 x (-5) - 40)²

2 x 25 - 3 (45 - 40)²

2 x 5² - 3 x 5²

- 5²

- 25

Answer

the range is the spread of your data from the lowest to the highest value in the distribution

Answer:

9

Step-by-step explanation:

To find the range, subtract the biggest number (here it's 9) and the smallest number (here it's 0).

9 - 0 = 9

Answer:

$39

Step-by-step explanation:

3 x 9 = 27

3 x 4 = 12

27 + 12 = 39

Answer:

$276  

Step-by-step explanation:

Given that

Last week Lola made 32kg of different kind of bun

The quarter of the bun sold at $9 per kilo

And, the rest would be sold at $8.5 per kilo

We need to find out the amount that should be collected in total from the sale

A quarter of the 32 buns is 8 buns

And, the half of 32 is 16, and half of 16 is 8.

Now If he sold those 8 buns for $9

So, the total amount is

= (8 buns) ($9)

= $72

Now the remaining buns left is

= 32 - 8

= 24 buns

It would be sold at $8.50

So, the total amount is

= (24) ($8.50)

= $204

Now the final amount is

= $204 + $72

= $276  

A grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

What is a heart rate?

The number of heartbeats that occur in a specific amount of time, usually one minute. The wrist, side of the neck, back of the knees, top of the foot, groin, and other areas of the body where an artery is close to the skin can all detect the heartbeat.

Here,

We let his normal heart rate = h

and given in the question,

20% of h = 10

20/100 * h = 10

h = 10*5

= 50 beats/min

Hence, a grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

To learn more about hibernating from the given link

https://brainly.com/question/25808930

#SPJ4

Answer:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Step-by-step explanation:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Answer:

acute

Step-by-step explanation:

they are less than 90%

Answer:

C. Vertical / B. Acute

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross.

The angles shown are displaying this. They are also under 90 degrees, so are acute too.

It will take the new guy approximately 3.33 hours to finish your car.To find out how long it will take the new mechanic to finish the car, we need to consider their individual rates of work.

Let's denote the first mechanic's rate as "M1" (job per hour) and the new guy's rate as "M2" (job per hour).

We are given that M1 can complete the job in six hours, so his rate of work is 1/6 of the job per hour. Similarly, the new guy takes eight hours to complete the job, so his rate of work is 1/8 of the job per hour.

When they worked together for the first two hours, they combined their rates of work. So in the first two hours, they completed (2/6 + 2/8) of the job.

Now, the first mechanic leaves and only the new guy is left to finish the remaining portion of the job. Let's denote the time it takes for the new guy to complete the remaining portion as "T."

Since we know the portion of the job completed in the first two hours, we can set up the equation: (2/6 + 2/8) + (T/8) = 1.

Simplifying the equation, we have (8/24 + 6/24) + (T/8) = 1.

Combining the fractions, we get 14/24 + (T/8) = 1.

Subtracting 14/24 from both sides, we have T/8 = 10/24.

Simplifying further, we find T = (10/24) * 8 = 3.33 hours.

For more such questions on rates

https://brainly.com/question/25720319

#SPJ8

Explanation is in the file

tinyurl.com/wpazsebu