pls answer this question

The formula for Permutation is,

The expression given is,

Given:

Plug in n = 9, r = 4

Simplify

Hence, the answer is 3,024.

Answer: (-4,-7)

Step-by-step explanation:

The possible values of this random variable range from 0 to 12, with 0 meaning none of the 12 parts in the sample do not conform and 12 meaning that all 12 parts in the sample do not conform.

The random variable in this scenario is the number of parts in a sample of 12 parts that do not conform to customer requirements. This random variable can take on any value from 0 to 12, where 0 would mean that none of the 12 parts in the sample do not conform and 12 would mean that all 12 parts in the sample do not conform. This range of values for the random variable is based on the fact that out of the 500 machined parts, only 10 do not conform to customer requirements. Therefore, the probability of each individual part in the sample not conforming is only 10/500 or 2%. This means that it is very unlikely that all 12 parts in the sample will not conform, but still possible.

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Answer:

12 Hours

Step-by-step explanation:

So it says he writes 8 pages in 2 hours. Which would mean he takes an hour to write 4 pages. You divide 48 pages by 4 hours and you get 12.

The cost of per ounce of water at store A is $0.08 and at store B is $0.07  , the water in the store B  will cost less per ounce .

In the question ,

it is given that

in store A the cost of 16 ounce of water is $1.28 ,

so the cost of 1 ounce of water in store A is = 1.28/16

= $0.08

in store B the cost of water is represented by the equation

y = 0.07x

where "x" is the number of ounces of water ,

which means

the cost of 1 ounce of water in store B is = $0.07

hence , the water in store B will cost less  .

Therefore , The cost of per ounce of water at store A is $0.08 and at store B is $0.07  , the water in the store B  will cost less per ounce .

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The roots of the given equation x² + 4x + 29 = 0 are -2 + 5i and -2 - 5i in simplest a + bi form

Given, the quadratic equation is x² + 4x + 29 = 0

We can find the roots of this quadratic equation using the quadratic formula, that is,

x = [-b ± √(b² - 4ac)] / 2a

where a, b and c are the coefficients of x², x, and the constant term, respectively.

So, comparing the given equation with the general form of quadratic equation ax² + bx + c = 0,

we have a = 1, b = 4 and c = 29

Now, substituting these values in the quadratic formula, we have the roots as:

x = [-4 ± √(4² - 4(1)(29))] / 2(1)

x = [-4 ± √(16 - 116)] / 2

x = [-4 ± √(-100)] / 2

x = [-4 ± 10i] / 2

x = (-4/2) ± (10i/2)x = -2 ± 5i

Therefore, the roots of the given equation x² + 4x + 29 = 0 are -2 + 5i and -2 - 5i in simplest a + bi form.

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In short, the answer is 85/5 is the most basic.

85/5 is equal to 17 laps a day (minimum)

17 laps a day is also the average of this. I hope this helps!

Answer:

- into + equals to -

so -1+ -1= -1 -1

Answer is -2

Step-by-step explanation:

In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

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The descriptive statistics results will be displayed in the Output window in Minitab, which can be viewed by selecting “Analyze > Descriptive Statistics > Descriptive”. This will provide information such as the mean, median, standard deviation, and other summary statistics.

1. Launch Minitab and open the data set that contains the observations for the ESL students in John Adams Elementary School.

2. Select the “Analyze” tab at the top of the screen.

3. Select “Descriptive Statistics” from the drop-down menu.

4. Select “Descriptive” from the sub-menu.

5. Select the variables of interest and click “OK”.

6. The descriptive statistics results will appear in the Output window.

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Answer:

18.54 = x

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4 + 2 = -2

-4 + (-2) = -6

By using the L'Hospital's Rule, we have shown that the limit of x^(3/x) as x approaches infinity is equal to 1.

To find the limit of the function \(x^{3/x}\) as x approaches infinity, we can use L'Hopital's Rule, which states that if we have an indeterminate form of a fraction such as 0/0 or infinity/infinity, we can take the derivative of the numerator and the denominator separately until we no longer have an indeterminate form.

First, we can rewrite the function as e^(ln(\(x^{3/x}\))). Then, we can use the properties of logarithms to simplify it further as e^((3ln(x))/x). Now, we have an indeterminate form of infinity/infinity, and we can apply L'Hopital's Rule.

Taking the derivative of the numerator and denominator, we get:

lim x→∞ \(x^{3/x}\) = lim x→∞ e^((3ln(x))/x)

= e^(lim x→∞ (3ln(x))/x)

Using L'Hopital's Rule on the exponent, we get:

= e^(lim x→∞ (3/x²))

Since the denominator is approaching infinity faster than the numerator, the limit of 3/x² as x approaches infinity is zero, and we are left with:

= e^(0)

= 1

Therefore, the limit of \(x^{3/x}\) as x approaches infinity is 1.

Alternatively, we can use some algebraic manipulation and the squeeze theorem to find the limit without using L'Hopital's Rule. We can rewrite the function as \(x^{3/x}\) = (x^(1/x))³, and notice that as x approaches infinity, 1/x approaches zero, and so x^(1/x) approaches 1 (as the exponential function with base e^(1/x) approaches 1). Therefore, we have:

lim x→∞ \(x^{3/x}\)= lim x→∞ (x^(1/x))³

= 1³

= 1

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Complete Question:

Find the limit. Use L'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.

lim x→∞ \(x^{3/x}\)

Answer:

The discount was 24%.

Step-by-step explanation:

24% of 50 is 12.

Answer:

cityQ

Step-by-step explanation:

City Q is located at the sea level

The statement that should be true is

City P is above sea level and City Q is below sea level.

The word "number line" in mathematics refers to a straight line where a number should be positioned at similar intervals or segments along with its length.

Given:

The point 0 on the number line represents sea level.

As, It should be presented in a horizontal style and be infinitely in any direction.

As a result, option c should be the statement that is true. City Q is below sea level, but City P is above it.

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Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.

In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.

In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;

Y = α₀+α₁X+α₂X₂+ε

Where:

In conclusion, Y represent the dependent variable or response variable in a linear regression.

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Answer:

1500

Step-by-step explanation:

32x49=1568,1568=1500 :)

Answer:

-11xy\26x\2y\6

Step-by-step explanation:

Answer:59.50

just multiply

Answer:

£59.50

Step-by-step explanation:

This is the answer because:

1) Since he earns £8.50 per hour, we just have to multiply it with 7 because they are asking for how much he will earn if he works for 7 hours:

£8.50 x 7 = £59.50

Therefore, the answer is £59.50

Hope this helps! :D

Answer:

the next two terms are 41 and 49

Answer

41, 49

Step-by-step explanation.

17 too 25 is 8 and from 25 too 33 is also 8 so the 4th term is 33+8= 41 and the 5th term is 41+8=49

Answer:

Drusilla

Step-by-step explanation:

the answer is Drusilla

Answer:

B

Step-by-step explanation:

The function is increasing anywhere the slope is positive.  This corresponds to the intervals -4<x<-2 and 0<x<2.  So, answer B is correct.

Both sides of the equation are equal.

Given the identity:

5 cos² β - 5 sin² β = 10 cos² β - 5

We can use the Pythagorean identity, which states that:

sin² β + cos² β = 1

Now, we can rewrite the given equation by expressing sin² β in terms of cos² β:

5 cos² β - 5 (1 - cos² β) = 10 cos² β - 5

Next, distribute the -5:

5 cos² β - 5 + 5 cos² β = 10 cos² β - 5

Combine like terms:

10 cos² β - 5 = 10 cos² β - 5

The identity is now verified. Both sides of the equation are equal.

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\(X+1-\frac{2}{x+1}\)

Step-by-step explanation:

when we use the way like this because the 2 was left by it own at the end so we need to do like this, by we cannot divide it by x

 steps for long division :Long division can also be used to divide decimal numbers into equal groups. It follows the same steps as that of long division, namely, – divide, multiply, subtract, bring down and repeat or find the remainder.

Answer:

0

Explanation:

We utilise the following two properties of sines and cosines to simplify our expression.

and

Substituting the above simplifications into our expression gives

Therefore we conclude that

FIFA created a football with a 21 cm circumference out of leather. If 10% of the leather is wasted, the cost of leather with labour is Rs. 25 per square centimetre. All total, Rs. 31,173.90 worth of leather was purchased to produce one football.

The diameter of the leather used to make the football is 21 cm, so its radius is 10.5 cm (half of the diameter).

The formula for calculating a sphere's surface area can be used to determine how much leather is required to produce a football:

Surface area = \(4\pi r^2\)

Surface area = 4π\((10.5)^2\)

Surface area = 1385.44 sq. cm

If 10% of the leather is wasted, then the actual amount of leather used is 90% of the total leather bought. So, we need to calculate the cost of 90% of the leather:

Cost of leather = 90% of the total leather cost

Cost of leather = 0.9 x 1385.44 sq.cm x Rs. 25/sq.cm

Cost of leather = Rs. 31,173.90

Therefore, the total cost of the leather bought to make the football, including the labour cost, is Rs. 31,173.90.

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Answer:

A

Step-by-step explanation:

in any right triangle the sine ratio of an angle Θ is

sinΘ = \(\frac{opposite}{hypotenuse}\)

Therefore, according to the squeeze theorem, the limit of x^2 cos(1/x^2) as x approaches 0 is also 0: lim(x→0) x^2 cos(1/x^2) = 0.

To prove that lim(x→0) x^2 cos(1/x^2) = 0, we can use the squeeze theorem.

First, we establish the following inequalities:

-1 ≤ cos(1/x^2) ≤ 1

Since -1 ≤ cos(1/x^2) ≤ 1 for all values of x, we can multiply each side of the inequality by x^2 to obtain:

-x^2 ≤ x^2 cos(1/x^2) ≤ x^2

Now, we need to evaluate the limits of the lower and upper bounds as x approaches 0:

lim(x→0) -x^2 = 0

lim(x→0) x^2 = 0

Since both lower and upper bounds approach 0 as x approaches 0, we can conclude that the function x^2 cos(1/x^2) is "squeezed" between these two functions.

Thus, the statement is proven.

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