A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. Based on past experience, the population standard deviation is 50 hours and the light bulb life is normally distributed. The operations manager stops the production process if there is evidence that the population mean light bulb life is below 500 hours. if you select a sample of 100 light bulbs and find mean bulb life is 490 hours. Perform the hypothesis test at the significance level of 0.01. Referring to Scenario 9-10, what is the test statistic

Answer: Part A: 1/26 or 0.38

Part B: 1/59 or 0.017

Step-by-step explanation:

Answer:

35 cm^2

Step-by-step explanation:

First find the area of a square by multiplying its side lengths together: 5 * 5 = 25 cm^2.

Now find the area of the triangle by multiplying the base by the height and dividing by 2: 4 * 5 / 2 = 10 cm^2.

Therefore the total area of the figure is 25 + 10 = 35 cm^2.

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

he ends up on floor 14

the highest difference between the floors has been 6

the highest change in floors at one time is 5(down)

Step-by-step explanation:

20-4=16

16+9=19

19-5=14

Answer:

Nah you're correct!

Step-by-step explanation:

When you add 3$ it will show as +3

Good Job!!

Answer:

tysm

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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A function which is differentiable at infinite many points is:

f(x) = eˣ is differentiable at x ∈ (∞, ∞)

A function which is non-differentiable at infinite many points is;

f(x) = tan x has no derivative at x = π/2 + πn, n ∈ Z

It should be noted that Floor and Ceiling Functions are usually not differentiable at integer values, due to the fact that they possess discontinuity at each change in stage. However, we must know that they are differentiable on other values.

Thus, we can say that;

A function which is differentiable at infinite many points is:

f(x) = eˣ is differentiable at x ∈ (∞, ∞)

Secondly, we can say that a function which is non-differentiable at infinite many points is;

f(x) = tan x has no derivative at x = π/2 + πn, n ∈ Z

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Answer:

\(\frac{5}{10}, \frac{4}{10}, \frac{1}{10}\)  are the numbers you need

Step-by-step explanation:

The least common denominator of those two numbers is 10.

\(\frac{1}{2} * \frac{5}{5} = \frac{5}{10} \\\\\frac{2}{5} * \frac{2}{2} = \frac{4}{10} \\\\\frac{5}{10} - \frac{4}{10} = \frac{1}{10}\)

I hope this helps! Have a lovely day! :)

Answer:

110

Step-by-step explanation:

First, find the perimeter of 1 fence.

55/2 or \(27\frac{1}{2}\)

Multiply by the number of fences (4)

110

I hope this helps!

The line which is symmetrical to y=10+3x+x^2 is x = 3/2.

We are given that;

The equation y=10+3x+x^2

Now,

The line of symmetry of a parabola is a vertical line that passes through the vertex of the parabola and divides it into two congruent halves. The equation of the line of symmetry is given by the x-coordinate of the vertex 1.

To find the vertex of a parabola that is given in standard form y = ax^2 + bx + c, you can use the formula 2:

x = -b / 2a

This formula gives you the x-coordinate of the vertex. The y-coordinate can be found by plugging this value into the original equation.

We can rewrite it in standard form by rearranging the terms:

y = -x^2 + 3x + 10

Now you can identify the values of a, b and c:

a = -1 b = 3 c = 10

Using the formula for the x-coordinate of the vertex, you get:

x = -b / 2a x = -(3) / (2 * -1) x = 3/2

Therefore, by symmetry the answer will be  x = 3/2.

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From the given information, the measure of DEF is 81°

From the question, we are to determine the measure of DEF

From the given information,

DEF and RST are complementary angles. This means they sum up to 90°

Thus,

(3(-5 + 2x)) + (x - 7) = 90

(3(-5 + 2x)) + (x - 7) = 90

(-15 + 6x) + (x - 7 ) = 90

-15 + 6x + x - 7 = 90

6x + x = 90 + 15 + 7

7x = 112

x = 112/7

x = 16

Then, substitute the value of x to determine the measure of DEF

(3(-5 + 2x))

= (3(-5 + 2(16)))

= (3(-5 + 32))

= (3(27))

= 81°

Hence, the measure of DEF is 81°

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Answer:

-72x + 10y

Step-by-step explanation:

First apply the Distributive Property of Multiplication:

-8(6x - 7y) becomes -48x + 7y and -(24x - 3y) becomes -24x + 3y.

Combining like terms, we get -72x + 10y

Answer:

-21x+53y

Step-by-step explanation:

learned it

Concept

To find the remainder, use the repeated division method.

Step 1: Divide the term with degree 3 with x. Then multiply the result with x - 5, and then subtract

Final answer

Remainder = 240

Answer:— If the measure of arc AB is 64 degrees, what is the measure of angle ADB?0 64 degrees 128 degrees 32 degrees 90 degrees.

Step-by-step explanation:

Answer:

A) 6^2 + 11^2 is not equal to 15^2

Step-by-step explanation:

To find out if a right triangle is a right triangle you have to use the Pythagorean Theorem, like it is used in A.

6^2 + 11^2 = 15^2

36 + 121 = 225

157 does not equal 225

So this is not a right triangle

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

Answer:

Step-by-step explanation:

y - 4 = 6(x - 0)

y - 4 = 6x - 0

y = 6x + 4

The x-values are the inputs.

The y-values are the outputs.

The missing value in the table for x = –1 is y = 6.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

This ultimately implies that, a domain is the set of all possible input numerical values (x-values) to a function and the domain of a graph comprises all the input numerical values (real numbers) which are located on the x-coordinate.

Conversely, a range is the set of all possible output numerical values (y-values) to a function and the range of a graph comprises all the output numerical values (real numbers) which are located on the y-coordinate.

Note: The coefficient of this equation y = 2 – 4x is 4.

When x = -1, the range (y-value) can be calculated as follows;

y = 2 – 4x

y = 2 – 4(-1)

y = 2 + 4

y = 6.

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Answer:

hhhhhhhhghhhgggghhhhhhhhhhhhhhhhh

Check the picture below.

notice that in the picture, we could also have used 0 = x + 10, however that gives us -10 = x, however "x" cannot be negative, so no dice there.

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

60 people at each table

Step-by-step explanation:

720/12

=60

9514 1404 393

Answer:

  y -4 = -2(x -3)

Step-by-step explanation:

The point-slope form of an equation for a line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (3, 4) and m = -2, so your equation is ...

  y -4 = -2(x -3)

Answer:

9.5÷0.25=38

So she can feed 38 students.

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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Answer:

506

Step-by-step explanation:

Following PEMDAS you'd start with your exponent

8^3-9×2÷3

Then you'd move on to multiplication

512-9×2÷3

Then do the division

512-18÷3

Then finish the problem by subtracting these two

512-6

Answer:

506

Step-by-step explanation:

just follow PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction