A hot air balloon starts at an elevation of 300 feet. Then, it ascends at a rate of 900 feet per minute.

11,000

11,000

Answer:

11000

Step-by-step explanation:

Find the number in the thousand place  

0

and look one place to the right for the rounding digit  

9

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

According to the corrosion-resistance, the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the specification has not been met.

Based on the provided information, we can analyze whether the steel conduits meet the corrosion-resistance specification. The sample average penetration is 52.7 mils, with a sample standard deviation of 4.8 mils. The specification states that the true average penetration should be at most 50 mils. To make a conclusion, we need to state the appropriate null and alternative hypotheses, calculate the test statistic, and determine the p-value using α = 0.05.

The null hypothesis (H0) states that the true average penetration of the steel conduits is equal to or less than 50 mils. The alternative hypothesis (H1) states that the true average penetration exceeds 50 mils. Therefore, the hypotheses are as follows:

H0: μ ≤ 50 (where μ represents the true average penetration)

H1: μ > 50

To test these hypotheses, we can use a one-sample t-test since we have the sample mean, sample standard deviation, and a sample size of 45. With α = 0.05, we will reject the null hypothesis if the p-value is less than 0.05.

To calculate the test statistic, we can use the formula:

t = (x - μ₀) / (s / √n)

Plugging in the values:

x = 52.7 (sample average penetration)

μ₀ = 50 (specified maximum average penetration)

s = 4.8 (sample standard deviation)

n = 45 (sample size)

Calculating the test statistic, we find:

t = (52.7 - 50) / (4.8 / √45) ≈ 3.551

Using the t-distribution table or statistical software, we can determine the p-value associated with this test statistic. The p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true.

Since the p-value is not provided in the question, we cannot determine the exact value. However, if the calculated p-value is less than 0.05 (our chosen significance level), we would reject the null hypothesis and conclude that there is sufficient evidence to demonstrate that the specification has not been met. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the specification has not been met.

In summary, to make a conclusive statement about whether the specification for the steel conduits has been met, we need to calculate the p-value associated with the test statistic.

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To find the break-even point, we need to find the point where the cost function and revenue function intersect, since at that point the profit will be zero.

So, we set the cost function equal to the revenue function:

180x + 8400 = 210x

Simplifying:

30x = 8400

x = 280

Therefore, the break-even point is at x = 280. To find the coordinates, we need to plug this value into either the cost or revenue function:

c(280) = 180(280) + 8400 = 50400

r(280) = 210(280) = 58800

So the break-even point is (280, 50400).
To find the coordinates of the break-even point, we need to determine the value of x when the cost of production (c(x)) is equal to the revenue (r(x)). In other words, we need to solve the equation c(x) = r(x).

Step 1: Set c(x) equal to r(x)
180x + 8400 = 210x

Step 2: Rearrange the equation to solve for x
210x - 180x = 8400
30x = 8400

Step 3: Divide both sides by 30 to find x
x = 8400 / 30
x = 280

Step 4: Find the break-even revenue by plugging x into either the cost or revenue function (we'll use r(x))
r(280) = 210 * 280 = 58800

So, the coordinates of the break-even point are (280, 58800), where 280 represents the number of cell phones produced and 58800 is the revenue generated.

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Answer:

d. 0

Step-by-step explanation:

Given that:

A rational number is multiplied by a irrational number.

And the result is a rational number.

To find:

Such rational number wil be:

a. \(\frac{1}2\)

b. 1

c. \(\frac{1}{10 }\)

d. 0

Solution:

Let us consider the given options one by one.

Let the irrational number be = \(\pi\)

Checking option a.

Multiply \(\pi\) and \(\frac{1}2\).

Result is: \(\frac{\pi}2\) which is again irrational.

So, a. is not correct.

Checking option b.

Multiply \(\pi\) and 1.

Result is: \(\pi\) which is again irrational.

So, b. is not correct.

Checking option a.

Multiply \(\pi\) and \(\frac{1}{10}\).

Result is: \(\frac{\pi}{10}\) which is again irrational.

So, c. is not correct.

Checking option d.

Multiply \(\pi\) and 0.

Result is: 0 which is rational.

So, d. 0 is the correct answer.

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

The length of the required chord is approximately equal to 11.8 units.

In Mathematics and Geometry, the chord of a circle refers to a line segment that typically join any two (2) points on a circle.

Based on the equation of the circle, the radius can be determined as follows;

x² + y² = 36

Radius, r = √36

Radius, r = 6 units.

By applying Pythagorean's theorem, side OA can be calculated as follows;

6² - 1² = OA²

OA² = 36 - 1

OA = √35

OA = 5.9

Length of chord = 2 × OA

Length of chord = 2 × 5.9

Length of chord = 11.8 units.

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The exponential function that passes through the point (3, 18) is f(x) = 2^x.

To find the exponential function f(x) = a^x that passes through the point (3, 18), we can substitute the values of x and f(x) in the equation and solve for the value of a.

Thus, we get 18 = a^3, and taking the cube root of both sides, we get a = 2. Therefore, the exponential function that passes through the point (3, 18) is f(x) = 2^x.

a. log3(1/27) = -3, as 1/27 is the same as 3^(-3).

b. log9 1 = 0, as 9^0 = 1.

c. 7log73 = log73^7, which is the same as 1,203,663,576.

d. log5 √625 = log5 25^(1/2) = log5 5 = 1, as 5^1 = 5 is the square root of 25.

In summary, we can find the exponential function that passes through a given point by substituting the values of x and f(x) in the equation and solving for the value of the base, a.

To evaluate logarithmic expressions, we can use the properties of logarithms, such as the power property and the change of base formula, to simplify the expressions and compute their values.

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Answer:

c

Step-by-step explanation:

c will be the answer g g g t g

Answer:

correct bayan HAHAHAHAHAHA

There are total 35 students in the class.

Given that,

Vikas ranks 9th in the class,

Assume that there are 'n' number of students in the class  

Therefore,

There are 8 students who have scored better than him.

So, The total number of students with a rank better or equal to Vikas,

= 8 + 1 (Vikas himself)

= 9.

Now, his friend got the 35th rank which is the last rank

This means that there are a total of 35 students in the class.

Also, also given that,

Vikas's rank from the last is 27th,

This means that there are 26 students who have scored lower than Vikas.

So, the total number of students with a rank worse or equal to Vikas,

= 26 + 1 (Vikas himself)

 = 27.

Therefore, The total number of students in the class = 35.

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Step-by-step explanation:

Image 1:

Blank 1: (0,5)

Blank 2: (5,0)

Blank 3: (0,-5)

Blank 4: (-5,0)

Image 2:

C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.

Image 3:

B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.

Image 4:

B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.

The given rational expression is 4y + 16 y + 4. To find the restricted values of y, we need to identify any values of y that would make the expression undefined.

In this case, the expression is in the form of a sum, so we don't have any denominators that could lead to division by zero. Therefore, there are no restricted values of y for this rational expression.

The expression 4y + 16 y + 4 is defined for all real numbers. We can evaluate it for any value of y without encountering any restrictions.

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Answer:

angle C because they are the same line

Step-by-step explanation:

SOLUTION

Consider the drawing below

Using pythagorean theorem, it follows

Hence using trigonometrical ratio it follows:

This is simplified to give:

Also

Finally it follows:

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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The numeric value of the function is of f(x) = 6 at x = -4 and x = 4.

To find the numeric value of a function or of an expression, each instance of the variable in the defined function or in the defined expression is replaced by the value at which we want to find the numeric value.

To find the input that generates a numeric value, the output is replaced and we solve for the input.

In this problem, the function is graphed, and we want to find for which values of x the numeric value is of 6.

Hence, an horizontal line at y = 6 has to be traced, and the intersection points of the horizontal line and of the function are the values of x for which f(x) = 6.

From the image at the end of the answer, the values of x for which f(x) = 6 are given as follows;

x = -4 and x = 4.

The graph of the function is presented at the end of the answer.

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The equation that must be true regarding the function is a. f(–3) = –5

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

a. f(–3) = –5

b. f(–3, –5) = –8

c. f(–5) = –3

d. f(–5, –3) = –2

The question is what does the point (-3, -5) correspond to on the graph of the function.

If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.

Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.

Therefore the correct answer is f(-3)=-5.

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The statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.

Market value is the current price of a product, company, or something consorting to the stock of the market.

It is the price which is required to buy something in the current market.

Bonds issued by Animite Energy are selling at a rate of 95.230.  This is the bond percentage of the Animite energy in the market. This means if someone wants to buy 95.230 of this company's bond, then he get $100.

Now for the 1000 bonds, the amount required is,

\(C=95.230\times10\\C=952.30\)

Hence, for the 1000 bonds, the amount required is 952.30. Therefore, the discount will be,

\(d=1000-952.30\\d=47.70\)

Hence, the statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.

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Answer:c

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

The values for the third side of a triangle must be greater than the difference of the two other sides and less than the sum of the two other sides

12 -8 < x < 12+8

4 < x < 20

The third side cannot be 21

Answer:

21

Step-by-step explanation:

The sum of two sides of a triangle must be greater than the third side

Two figures are said to be similar if they are both equiangular (i.e., corresponding angles are congruent) and their corresponding sides are proportional. As a result, corresponding sides in similar figures are proportional and can be set up as a ratio.

 A proportion that describes the relationship between two similar figures is as follows: Let AB be the corresponding sides of the first figure and CD be the corresponding sides of the second figure, and let the ratios of the sides be set up as AB:CD. Then, as a proportion, this becomes:AB/CD = PQ/RS = ...where PQ and RS are the other pairs of corresponding sides that form the proportional relationship.In the present case, Quadrilateral STUV is similar to quadrilateral ABCD. Let the corresponding sides be ST, UV, TU, and SV and AB, BC, CD, and DA.

Therefore, the proportion that describes the relationship between the two shapes is ST/AB = UV/BC = TU/CD = SV/DA. Hence, we have answered the question.

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Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

Answer:

y=x-9

Step-by-step explanation:

Answer:

∠ BDC = 37°

Step-by-step explanation:

the central angle BAC is twice the angle on the circumference subtended on the same arc.

∠ BDC = \(\frac{1}{2}\) ∠ BAC = \(\frac{1}{2}\) × 74° = 37°

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

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An expression that shows the total number of chairs in the auditorium is 9(6+4).

Given that, there are 54 green chairs and 36 red chairs in an auditorium.

To determine the number of green chairs and red chairs in each row, divide 54 and 36 by 9. This gives us 6 green chairs and 4 red chairs in each row.

The total number of chairs can be expressed as the product of 9 and the sum of the green chairs and red chairs in each row.

This is represented by the expression 9(6+4), which is equal to 90 chairs.

Therefore, an expression that shows the total number of chairs in the auditorium is 9(6+4).

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Answer:

6

Step-by-step explanation:

44-38=6

TRUE. The pivot positions in a matrix can be affected by row interchanges during the row reduction process.

Row interchanges involve swapping the order of rows in a matrix, which can change the leading entry (or pivot) in each row. The leading entry is the first nonzero element in a row, which is used to create zeros below it during the row reduction process. If row interchanges are used, the leading entries of each row may change, resulting in a different set of pivot positions in the matrix.

However, the row space, column space, rank, null space, and determinant of the matrix remain the same under row interchanges, as these properties are invariant under elementary row operations.

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The pivot positions in a matrix depend on whether row interchanges are used in the row reduction process? TRUE/FALSE

Answer:

It's the mean because the average decreases the most if the 692 were removed