An isosceles triangle has sides of xcm, xcm and 9cm, its perimeter is less than 19 and x is a whole number. find the lowest value of x

The calories burned per hour is 30 calories per hour

From the question, we have the following parameters that can be used in our computation:

Calories at 7 = 25 calories

Calories at 9 = 85 calories

Using the above as a guide, we have the following:

Rate = Difference in calories/Difference in time

Substitute the known values in the above equation, so, we have the following representation

Rate = (85 - 25)/(9 - 7)

Evaluate

Rate = 30

Hence, the rate is 30 calories per hour

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The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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Answer:

y = 8

Step-by-step explanation:

2/3 x+1/2y = 2

2/3 x - y = -10

3/2y = 12

y = 8

Answer:

Step-by-step explanation:

wwI effected fiction writing in many ways such as _________________.

Answer:

The First World War evoked a surge in literary output, which included poems, novels and drama. Whilst the poetry of Siegfried Sassoon, Rupert Brooke and Wilfred Owen immediately springs to mind, works by by Ivor Gurney, Edward Thomas, Charles Sorley, David Jones and Isaac Rosenberg are also widely anthologised.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

I think the Question is incorrect; the left hand side of the equation should be

m+1Cn

Step-by-step explanation:

Answer:

510 minutes.

Step-by-step explanation:

i hope this helped you! :)

510 MINUTES!! :)

Hope this helped!

true, 3:7 is a ratio and is equal to 3/7

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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1) Let's sketch out this to better understand it:

Note that there are two vectors here, as we were told and a third one the resultant. So let's find the direction of this blue and resultant vector:

2) Now, let's calculate the tangent of that angle theta, and then the arctangent to find the angle that gives us the direction of that resultant.

Thus, this is the direction of the car's resultant vector 50.9º

Answer:

The radionkulider theorem describes the relationship between radicals and kulids. Thus explaining that when one adds a radical to the square root of a kulid, one would get a radia kulifer and those being divided together would make an ultimate of a radionklider. Another way this is applied is if one subtracts the radion and the kulid from each other, this would merge into the property of radionkulider and would ultimateley give you a radionklider formula and theorem.

Step-by-step explanation:

The radionuklider thereom is a simple 4 step process to figure out the force of Shrek's Fart.

The equation of the first step is:

sf = d+f+sp/ts

shrek's farts = diarrihha mass + fart pressure + overall smell degree / toilet size

The second step is to take that number equivalent and put it to the power of your sheets of toilet paper.

Then square root it by Shrek's shoe size.

Then divide it and then multiply it by your personal likability of shrek on the 1 - 1000 scale.

Answer:

3/90

Step-by-step explanation:

1 slot  is 1/30

2 slot is 1/30

3 slot is 1/30

this gives you that 3/90 when you had them

Answer:

D)  1/(30×30×30) = 1/27000 = 0.00003 or 0.003%

Step-by-step explanation:

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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The statements that are true about the function are

A. The function is concave down for the interval (-∞, 3)

B. The function has a maximum value at (4, 0)

F. The function is decreasing on the interval (3, 4)

G. The function is decreasing on the interval (-∞, 1)

So, the statements that are true about the function are

A. The function is concave down for the interval (-∞, 3)

B. The function has a maximum value at (4, 0)

F. The function is decreasing on the interval (3, 4)

G. The function is decreasing on the interval (-∞, 1)

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Answer:

C: 2500

Step-by-step explanation:

1) Simplify the question down as much as you can

In the question we can simplify the \(10^{3}\) to 1000

We can also change the · into a ×

This means our final simplified question would be 2.5 × 1000

2) Solve

An easy way of doing 2.5 × 1000 is to move the decimal point however many zeros there are...

E.g. To move the decimal point 3 times we would go three points to the right which would be 2500

HINT:

Another way of doing it would be to use long multiplication!

Hope this helps, have a great day!

1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

The diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.

Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.

In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

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The perimeter and area of the given composite shape are respectively;  10a² + 10b and 37a²b

The perimeter of the composite figure here will simply be the sum of the entire boundary lengths and as such we have;'

Perimeter = 2(a² + 3a² + a²) + 2(4b) + b + b

= 10a² + 8b + 2b

= 10a² + 10b

The area of a rectangle is;

Area = Length * width.

Thus;

Area of composite shape = Overall area of rectangle - Area of cut out rectangle

Area = (10a² * 4b) - (3a² * b)

Area = 40a²b - 3a²b

Area = 37a²b

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The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Answer:

m is slope, b is y=interecept and x and y is the coordinates

Step-by-step explanation:

Answer:

450 ml.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder is given by:

\(V = \pi r^2h\)

In which r is the radius and h is the height.

A cylindrical drinking glass has a base radius of 3.2 centimeters and a height of 14.0 centimeters.

This means that \(r = 3.2, h = 14\)

How many milliliters of water does the glass hold when it is full?

Radius and height are measured in centimers, so the volume will be in cubic centimeters, which is the same as milliliter. So

\(V = \pi(3.2)^2*14 = 450.3\)

Rounding to the nearest millimeter, the answer is 450 ml.

Answer:

100

Step-by-step explanation:

Im sure this is correct.

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

The average power radiated by each square meter of the sun's surface is approximately 386 W/m². This value is calculated by dividing the total power radiated by the sun (approx. 386 billion Megawatts) by its surface area (approx. 6.08 x 10¹⁸ square meters). The formula for the surface area of a sphere is 4πr².

The average power radiated by each square meter of the sun's surface can be calculated as follows:

       The total power radiated by the sun is approximately 386 billion

       Megawatts (3.86 x 10³³ erg/s).

        The surface area of the sun can be calculated using the formula for

        the surface area of a sphere:

        A = 4πr², where r is the radius of the sun (approx. 6.96 x 10⁸

        meters).

        Plugging in the values, we get:

        A = 4π (6.96 x 10⁸)² = 6.08 x 10¹⁸ square meters.

        Finally, divide the total power by the surface area to get the

        average power radiated by each square meter of the sun's surface:

        P = 3.86 x 10³³ erg/s / 6.08 x 10¹⁸ m² = 386 W/m².

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Answer:

1) cpk < 1.33, therefore it is not capable

b) cpk = 1.33, therefore it is capable

c) cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Step-by-step explanation:

Upper limit (USL) = 47 minutes and Lower limit (LSL) = 30 minutes

1)

a) mean (μ) = 37 minutes, standard deviation (σ) = 3 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-37}{3*3},\frac{37-30}{3*3} )=min(1.11,0.78)=0.78\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*3}=0.94\)

cpk < 1.33, therefore it is not capable

b) mean (μ) = 38 minutes, standard deviation (σ) = 2 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38}{3*2},\frac{38-30}{3*2} )=min(1.5,1.33)=1.33\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2}=1.42\)

cpk = 1.33, therefore it is capable

c) a) mean (μ) = 38.5 minutes, standard deviation (σ) = 2.9 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38.5}{3*2.9},\frac{38.5-30}{3*2.9} )=min(0.98,0.98)=0.98\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2.9}=0.98\)

cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The general solution of \(\tan bx = 2\) and \(x = 0.3\) is \(x = 0.095\pi \mp 0.271\pi\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\).

From Trigonometry we remember that Tangent is a Transcendental Function that is positive both in 1st and 3rd Quadrants and have a periodicity of \(\pi\) radians.  The procedure consists in using concepts of Direct and Inverse Trigonometric Functions as well as characteristics related to the behavior of the tangent function in order to derive a General Formula for every value of \(x\), measured in radians.

First, we solve the following system of equations for \(b\):

\(\tan bx = 2\) (1)

\(x = 0.3\) (2)

Please notice that angles are measured in radians.

(2) in (1):

\(\tan 0.3b = 2\)

\(0.3\cdot b = \tan^{-1} 2\)

\(b = \frac{10}{3}\cdot \tan^{-1}2\)

\(b\approx 3.690\)

Under the assumption of periodicity, we know that:

\(y = \tan bx\)

\(b\cdot x \pm \pi\cdot i = \tan^{-1} y\), \(\forall \,i\in \mathbb{N}_{O}\)

\(b\cdot x = \tan^{-1}y \mp \pi\cdot i\)

\(x = \frac{\tan^{-1}y \mp \pi\cdot i}{b}\)

If we know that \(y = 2\) and \(b \approx 3.690\), then the general solution of this trigonometric function is:

\(x = \frac{0.352\pi \mp \pi\cdot i}{3.690}\), \(\forall \,i\in \mathbb{N}_{O}\)

\(x = 0.095\pi \mp 0.271\pi\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\)

The general solution of \(\tan bx = 2\) and \(x = 0.3\) is \(x = 0.095\pi \mp 0.271\pi\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\).

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Answer: 74.539

Step-by-step explanation:

Answer:

Two

Step-by-step explanation:

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Answer:

infinite solutions

Step-by-step explanation:

12x - 4y = -8

-4y = -8 - 12x

y = 2 + 3x

y = 3x + 2

Because all points on this line are the same, there are an unlimited number of possible responses.

There would be 0 responses if the numbers in front of the xs were the same, and there would be one answer if the numbers in front of the xs were different.

Hope this helps!

Answer:

We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:

Length of arc = (central angle measure / 360) x 2πr

where r is the radius of the circle.

Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:

6 = (40/360) x 2πr

Simplifying the fraction and solving for r, we get:

6 = (1/9) x 2πr

r = 9 x 6 / 2π

r = 27/π

So the radius of the circle is 8.59 cm (rounded to two decimal places).