The following data represent the lifetimes (in hours) of a sample of 4 transistors: 112; 121; 116: 109. If you construct 90% confidence level what would be :
the upper confidence level. the lower confidence Level

Since the integral does not have an elementary antiderivative, the best we can do is to leave it as ∫(x - 7)/(x^2 - 18x + 82) dx + c, where c is the constant of integration.

To evaluate the integral of (x - 7)/(x^2 - 18x + 82) dx, and use c for the constant of integration, follow these steps:

1. Identify the function: f(x) = (x - 7)/(x^2 - 18x + 82)

2. Integrate f(x) with respect to x: ∫(x - 7)/(x^2 - 18x + 82) dx

3. Find the antiderivative of f(x): This integral does not have an elementary antiderivative, so it cannot be expressed in terms of elementary functions.

4. Add the constant of integration: F(x) + c, where c is the constant of integration.

Since the integral does not have an elementary antiderivative, the best we can do is to leave it as ∫(x - 7)/(x^2 - 18x + 82) dx + c, where c is the constant of integration.

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The fraction of the image in blue with respect to the entire hexagon is \(\frac{1}{3} \).

Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:

\(A_{1} = A_{2}\) (1)

Where:

The formulae for the area of the shaded region (\(A_{s}\)) and the entire hexagon (\(A_{h}\)) are, respectively:

\(A_{s} = 2\cdot A_{1} + 4\cdot A_{2}\) (2)

\(A_{h} = 8\cdot A_{1} + 10\cdot A_{2}\) (3)

And the fraction of the image in blue is:

\(\frac{A_{s}}{A_{h}} = \frac{2\cdot A_{1}+4\cdot A_{2}}{8\cdot A_{1}+10\cdot A_{2}} \)

\(\frac{A_{s}}{A_{h}} = \frac{6\cdot A}{18\cdot A} \)

\(\frac{A_{s}}{A_{h}} = \frac{1}{3} \)

The fraction of the image in blue with respect to the entire hexagon is \(\frac{1}{3} \). \(\blacksquare\)

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Answer:

-6

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

range= 2,0,-5,-10

domain= 7,-10,-5,13

Step-by-step explanation:

the range is all of the y values

the domain is all of the x values

The amount of calories provided from fat and carbohydrates is 1210 calories.

The number of calories left over is 290 calories.

These calories come from proteins.

The amount of protein in this meal is not specified, so we cannot calculate it.

The amount of calories provided from fat and carbohydrates: Fat provides 9 calories per gram, so 90g of fat would provide 9 x 90 = 810 calories. Carbohydrates provide 4 calories per gram, so 100g of carbs would provide 4 x 100 = 400 calories. So, the total amount of calories provided from fat and carbohydrates is 810 + 400 = 1210 calories.

The number of calories left over: 1500 calories - 1210 calories = 290 calories. These calories come from proteins.

The amount of protein in this meal: The amount of protein in this meal is not specified, so we cannot calculate it.

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Answer:butt no ayes

Step-by-step explanation:10 is a yes is no

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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10 miles per hour is the average journey speed.

Given that,

Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.

Average speed is ( total distance ) / ( total time )

During the 1st 2 hrs:

distance = speed * time

distance = 15 *2 = 30 miles

During the last hour:

distance = speed * time

distance = 10 *1 = 10 miles

Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr

Therefore, their average speed for the trip is 10 mil/hr

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\(Factor\ by\ grouping:\\\\2x^2+3x-35\\\\(2x-7)(x+5)\\\\2x-7=0\ and\ x+5=0\\\large\boxed{\therefore x=\frac{2}{7}\ and\ x=-5}\)

Answer:  2x^2+3x-35=(x+5)(2x-7)

Step-by-step explanation:

\(2x^2+3x-35=\\2x^2+10x-7x-35=\\(2x)(x+5)-(7)(x+5)=\\(x+5)(2x-7)\)

The equation that can be used to find the value of x is x = 0.28

the figure has an area of 42 yd2

We are to find which equation can be used to find the value of x.

Since the area of the figure is equal to the product of its length and width, we can write;

Area of the figure = 42yd²

The length of the rectangle = 150yd

We can represent the width as x.

We have that;

Area of the figure = Length × width 42 = 150x

We divide both sides by 150;42/150 = x0.28 = x

Thus, the equation that can be used to find the value of x is x = 0.28.

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The equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 7xy. by starting with y equation will be y = 7xy + 1.

An explanation of this equation will be this is the equation of a curve that passes through the point (0,1) and has a slope of 7xy at (x,y).

        To find this equation, we use the point-slope formula, which states that for any point (x1, y1) and a slope m, the equation of the line through the point with that slope is given by y - y1 = m(x - x1).

Substituting in the given values, we get y - 1 = 7xy(x - 0).

      Simplifying the equation, we have y = 7xy + 1.

Equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is y = 7xy + 1.

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Answer:

35175

Step-by-step explanation:

Answer:

1 slice will be left because there are 16 slices and 15 guests

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

To find the slope, you can pick two points on the graph and plug them into the slope formula: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

\(\frac{0-2}{6-3}\)

\(\frac{-2}{3}\)  is the same as \(-\frac{2}{3}\)

hope this helps!

Answer: 12: 6 and 24: 12 and 3: 1.5

Step-by-step explanation: A ratio can be equivalent through multiplication such as 6: 3 to 12: 6  

Answer:

2 : 1,

12/

Step-by-step explanation:

all you have to do is cross out the numbers, basically simplify the

the answer is 2:1 because in 3's multiplication table,

3×2=

and

3×1=

similarly , for 12/6, divide instead of multiplication, there area few other ratios equivalent to 6/

Answer:

a)

Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:

Find the slope, m:

The value of b is 42000, since at t = 0, V = 42000

So the equation is:

b)

The graph is attached.

When V = 72500, t = 9.6 (approximately)

c)

When V = 74000

d)

When V = 80250

Answer:

(5,-3)

Step-by-step explanation:

We can substitute the y in the second equation by the first equation:

2x+3(x-8)=1->

2x+3x-24=1 ->

5x-24=1 ->

5x=25 ->

x=5.

Then solve for y in the first equation:

y=5-8 ->

y=-3.

So the first is correct:

(5, -3)

Hope that helps! :)

Answer:

First option: (5,-3)

Step-by-step explanation:

First turn the second equation to slope intercept form (y=mx+b):

Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.

Now you can graph both, and the solution would be the point that intercepts both of these lines.

(Here it is graphed above for you⤴⤴⤴)

Hope this helps :)

The quotient include the following: D. \(\frac{x(2x-3)}{7}\)

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce the following mathematical expression;

\(\frac{2x-3}{x} \div \frac{7}{x^2}\)

By rearranging the mathematical expression using the multiplication operation, we have:

\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)

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The first step you have to follow is to find k(1) by replacing each x in k(x) for 1:

Now, find g(k(1)), it means, g(-7):

(g°k)(1)=573.

Answer:

To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed (light speed)

Step-by-step explanation:

The average speed = (The total distance)/(The total time taken)

The given parameters are;

The required average speed of the autonomous car = 40 km/hr

The average speed of the car during the first 20 km = 40 km/hr

The  average speed of the car during the next 10 km = 20 km/hr

Therefore, we have;

The time taken = Distance/Speed

The time taken by the car during the first 20 km = 20 km/40 km/hr = 0.5 hour

The time taken by the car during the next 10 km = 10 km/20 km/hr = 0.5 hour

Therefore, the amount of time elapsed = 0.5 hour + 0.5 hour = 1 hour

The distance covered = 30 km

Which gives;

To drive the remaining distance of 10 km the car has 0 hour left,

The speed of the remaining 10 km must therefore be 10/0 =  Infinite (speed).

To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed.

Answer: it should be either A or B

Step-by-step explanation:

sorry if I’m wrong

the probability that in a randomly selected office hour, the number of student arrivals is 7 is approximately 0.0857 or 8.57%.

To find the probability that the number of student arrivals is 7, we need to determine the probability of a specific count of arrivals in a Poisson distribution.

The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space, given the average rate of occurrence.

In this case, the average rate of student arrivals in an office hour is given as 1.9 students.

The probability mass function of the Poisson distribution is given by the formula:

P(x; λ) = (e^(-λ) * λ^x) / x!

Where:

P(x; λ) represents the probability of x events occurring,

λ is the average rate of occurrence,

e is the base of the natural logarithm (approximately 2.71828), and

x! represents the factorial of x.

Plugging in the values, we have:

P(7; 1.9) = (e^(-1.9) * 1.9^7) / 7!

Using a calculator or software, we can calculate this probability:

P(7; 1.9) ≈ 0.0857

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Answer:

The vertices of ABCD:

A ( - 3, 1 )

B ( 4 , - 3 )

C ( 1, 3 )

D ( - 1 , 4 )

∴ ( 4 x,  4 y ):

A ` ( - 12, 4 )

B ` ( 16, - 12 )

C ` ( 4, 12 )

D ` ( - 4 , 16 )

Step-by-step explanation: I hope this helps! ™(*/ω＼*)

Answer:

L = 3.5 in/sec  * 3 min  * 60 sec /min = 630 in

(L = S * T   where T is in sec and S is inches / sec)

Answer:

Step-by-step explanation:

The point-slope form of the equation of the line passing point (x₁, y₁) and with the slope of m is:  y - y₁ = m(x - x₁)

m = -⁶/₅

Y-Intercept = 2  ⇒  point (0, 2)  ⇒  x₁ = 0,  y₁ = 2

Point-Slope Form:    y - 2 = -⁶/₅(x - 0)

Answer:3

Step-by-step explanation:

Ok listen I don't know if this is right and if it is not I am sorry so if it is let me know please. And if it's wrong let me know. Thank you.

Answer:

"2-3 inches of snow":)

Step-by-step explanation:

The Qualitative information is "2–3 inches of snow".

Quantitative methods emphasize objective measurements and the statistical, mathematical, or numerical analysis of data collected through polls, questionnaires, and surveys, or by manipulating pre-existing statistical data using computational techniques.

Here, given that,

A local meteorologist reports the day's weather. "Currently sunny outside, 34°F. Skies will become overcast later this afternoon, as temperatures drop to 25°F, with windy conditions out of the north at 10–15 miles per hour. Radar indicates 2–3 inches of snow expected to fall later tonight."

Now , we know that the qualitative information is "2–3 inches of snow".

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