real life application of APPROXIMATION​

Answer:

7.079

Step-by-step explanation:

the nine is worth 0.009

Answer:

7.079

Step-by-step explanation:

In the provided numbers, the 9 has the least value in 7.079. In this number, 9 is in the thousandths place, which is a lower place value than in the other numbers. Here's why:

In 0.9, the 9 is in the tenths place, which has a value of 0.9.

In 0.29, the 9 is in the hundredths place, which has a value of 0.09.

In 7.079, the 9 is in the thousandths place, which has a value of 0.009.

In 9.1, the 9 is in the ones place, which has a value of 9.

Therefore, in 7.079, the 9 has the least value.

Answer:

here's your answer v

Step-by-step explanation:

The first number in the sequence, , is -2.

Each number after that is the previous number multiplied by -2.

etc. We start by stating that .

Now we need to show that for all n greater than or equal to 2, each number in the sequence is the previous number multiplied by -2.

this is the answer.

Answer:

a1+= -2; an = - 2a-1, n > 2

p(10) is 20%

Probability is a measure of the likelihood of an event to occur.

Probability measures the chance of an event happening.

Therefore, the probability of getting a 10 can be calculated as follows:

The cards are five in number. The cards are numbered 6, 7, 8, 9 and 10.

Therefore,

p(10) = 1 / 5

Hence,

p(10) =  1 / 5 × 100

p(10) = 100 / 5

p(10) =  20%

Therefore, p(10) is 20%

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Using it's concept, it is found that there is a 0.8606 probability that the driver was not intoxicated.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that there are 62 + 76 + 254 + 598 = 990 deaths, of which 254 + 598 = 852 did not involve an intoxicated driver, hence the probability is given by:

p = 852/990 = 0.8606

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Answer:

$20384

Step-by-step explanation:

8.32*25*14*7=20384 .

Two variables are said to be positively associated when both the variables increase simultaneously. Two variables are said to be negatively associated when with the increase in one variable, the other decreases.

When we say that two variables are positively associated, it means that as one variable increases, the other variable also tends to increase. In other words, there is a direct variation between the two variables. For example, if we look at the relationship between height and weight, we would expect to see a positive association because taller people generally weigh more than shorter people.

On the other hand, when we say that two variables are negatively associated, it means that as one variable increases, the other variable tends to decrease. In other words, there is a inverse variation between the two variables. For example, if we look at the mathematical variation between studying and test scores, we would expect to see a negative association because the more someone studies, the lower their test anxiety and the better they are likely to perform on the test.

Understanding whether two variables are positively or negatively associated is important in many areas, including social sciences, healthcare, and business. By identifying these associations, we can better predict outcomes and make informed decisions based on data.

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Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

Answer:

that is easy 90

Step-by-step explanation:

Answer:

78.5 units2

Step-by-step explanation:

terms of or use 3.14 for I and enter your answer I put the answer in a

decimal form if is easier you can simplify and get your normal answer.

I hope this helps I think this is the answer <3

Answer:Therefore, the range is 32 and the standard deviation is approximately 10.523 for the given data set.

Step-by-step explanation:To calculate the range and standard deviation for the given data set {40, 65, 33, 46, 55, 50, 61}, we can follow these steps:

Step 1: Find the range.

The range is calculated by subtracting the minimum value from the maximum value in the data set.

Range = Maximum value - Minimum value

Range = 65 - 33

Range = 32

Step 2: Calculate the mean.

The mean is calculated by summing up all the values in the data set and dividing by the total number of values.

Mean = (40 + 65 + 33 + 46 + 55 + 50 + 61) / 7

Mean = 350 / 7

Mean = 50

Step 3: Calculate the deviation for each value.

Deviation is calculated by subtracting the mean from each value in the data set.

Deviation for 40 = 40 - 50 = -10

Deviation for 65 = 65 - 50 = 15

Deviation for 33 = 33 - 50 = -17

Deviation for 46 = 46 - 50 = -4

Deviation for 55 = 55 - 50 = 5

Deviation for 50 = 50 - 50 = 0

Deviation for 61 = 61 - 50 = 11

Step 4: Square each deviation.

Squared deviation for -10 = (-10)^2 = 100

Squared deviation for 15 = 15^2 = 225

Squared deviation for -17 = (-17)^2 = 289

Squared deviation for -4 = (-4)^2 = 16

Squared deviation for 5 = 5^2 = 25

Squared deviation for 0 = 0^2 = 0

Squared deviation for 11 = 11^2 = 121

Step 5: Calculate the variance.

Variance is calculated by summing up all the squared deviations and dividing by the total number of values.

Variance = (100 + 225 + 289 + 16 + 25 + 0 + 121) / 7

Variance = 776 / 7

Variance ≈ 110.857

Step 6: Calculate the standard deviation.

The standard deviation is the square root of the variance.

Standard Deviation ≈ √110.857

Standard Deviation ≈ 10.523

Answer: 0

Step-by-step explanation:

Range = Highest number - lowest number

range = 6 - 6

range = 0

The probability that the number generated contains the digit 3 at least once is 0.7458.

Probability that there is digit 3 at least once =  1- P(no 3s in the number)

Total probability is, 10^13.

Here the digits are 0 to 9. we have 10 choices and the digits can be repeated hence the total probability is 10^13.

Now, if there is no 3, the choices will 9, hence the probability is 9^13.

Further, the probability of an event happening, is equal to the

favourable outcomes/total outcomes.

Hence, we get the probability of no 3's is 9^13/10^13

=0.2542

Probability that there is digit 3 at least once =  1- 0.2542

=0.7458

Therefore, the probability of at least one 3 is 0.7458.

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Answer:

n = 4

Step-by-step explanation:

To solve for n, you need to undo what is being done to the variable. Since n is being multiplied by 5, you must divide both sides of the equation by 5.

1. (5n)/5 = 20/5

2. n = 4

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\(5n=20\)

Divide 5 from both sides.

\(5n/5=20/5\)

\(n\) does not have a coefficient now.

\(n=4\)

The cost of each lily is $3.25, and the cost of each rose is $6.50 according to the first arrangement and second arrangement.

Let's assume the cost of each lily is represented by "L" and the cost of each rose is represented by "R." Based on the given information, we can form a system of linear equations.

From the first arrangement, we know that 5 lilies and 1 rose cost $19.75. This can be written as the equation 5L + R = 19.75.

From the second arrangement, we know that 6 lilies and 3 roses cost $27.75. This can be written as the equation 6L + 3R = 27.75.

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.

Multiply the first equation by 3 and the second equation by -1 to eliminate the R term:

15L + 3R = 59.25

-6L - 3R = -27.75

Adding the equations, we get:

9L = 31.50

Divide both sides by 9:

L = 3.50

Now substitute the value of L back into one of the original equations. Let's use the first equation:

5(3.50) + R = 19.75

17.50 + R = 19.75

Subtract 17.50 from both sides:

R = 2.25

Therefore, the cost of each lily is $3.50, and the cost of each rose is $2.25.

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Our final answer will be AB → Z, BC → Y, and AC → X.

In our question, points are given as (3, 2), b(4, 5), and c(7, 3) and triangle ABC was created by joining these points with the line segments.

By matching the corresponding sides, we get

A(3, 2) = reflect over x-axis A' (3, -2) = reflect over the Y axis A'' (-3, -2)

B(4, 5) = reflect over x-axis B'(4, -5) = reflect over the Y axis B''(-4, -5)

C(7, 3) =  reflect over x-axis C'(7, -3) = reflect over the Y axis C''(-7, -3)

According to the coordinate analysis of corresponding points, we get:

AB → A''B'' → Z

AC → A''C'' → X

BC → B''C'' → Y

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57

Step-by-step explanation:

$ 9.50 -> 1 hr

? -> 6 hrs

9.50(6) = $ 57

The value of the integral ∫ xe^-3x dx is 1/9.

To determine whether or not the integral ∫ dx/(x^10/20) converges, we can use the p-test.

We have:

∫ dx/(x^10/20) = ∫ (2/x^9/20) dx

Using the p-test, since the exponent of x in the denominator is greater than 1/2 (i.e., p = 9/20 > 1/2), the integral converges.

To find its value, we can integrate:

∫ dx/(x^10/20) = ∫ (2/x^9/20) dx = (20/9) x^11/20 + C

Now we can evaluate this antiderivative from 1 to 10:

(20/9) (10^11/20 - 1^11/20) ≈ 4.78

Therefore, the integral converges and its value is approximately 4.78.

To determine whether or not the integral ∫ dx/ x^1/2 converges, we can again use the p-test.

We have:

∫ dx/ x^1/2 = ∫ 2/x dx

Using the p-test, since the exponent of x in the denominator is less than 1 (i.e., p = 1/2 < 1), the integral diverges.

To evaluate the integral ∫ xe^-3x dx, we can use integration by parts.

Let u = x and dv = e^-3x dx. Then du/dx = 1 and v = -1/3 e^-3x.

Using the integration by parts formula, we have:

∫ xe^-3x dx = -1/3 xe^-3x - ∫ (-1/3 e^-3x) dx

= -1/3 xe^-3x + 1/9 e^-3x + C

Now we can evaluate this antiderivative from 0 to infinity:

lim x->∞ 1/3 xe^-3x + 1/9 e^-3x - (1/3)(0)(1) - 1/9

= 1/9

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Answer:

The answer is 6 by 15

Step-by-step explanation:

Answer: josie can buy 3 sets of dishes

Step-by-step explanation: im assuming that a set would cost 45 including shipment fee

45x3 = 135

Answer:

3

Step-by-step explanation

45*3= 135

45*4=180 so there fore you can onlt get 3

Answer:

C or B

Step-by-step explanation:

Answer:

Your answer is A.

Step-by-step explanation:

You can count the arrow lines as the 2s. Such as, 2, 4, 6, 8 and 10.

So, the line 'x' is being divided by how many lines touching it.

Therefore, it is 1.

Then you add x and 6, the number which the line is ending with.

Your final answer is, F(x) =      1      

                                                x+6

Hope this helped!

5 and 4

3 and 6

hope this helps!

The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.

Fred's dog weight in September= 45 pounds

Percentage increase= 25%

Fred's dog weight in March = x

45 = x + (25% of x)

45 = x + 0.25x

45 = 1.25x

divide both sides by 1.25

x = 45/1.25

x = 36 pounds

Hence, Fred's dog weighs 36 pounds in March.

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The coordinates of the vertices after a dilation with a scale factor of 1/3 centered at the origin is E'(0, -2), F'(3, -2), G'(3, 1) and H'(0, 1).

Dilation is  a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Given that center of the dilation is origin.

Any coordinate (x, y) when dilated to a scale factor k is (kx, ky).

The coordinates of the quadrilateral are E(0, -6), F(9, -6), G(9, 3) and H(0, 3).

Dilation is with a scale factor of 1/3.

So all the coordinates become (1/3x, 1/3y).

E(0, -6) becomes E'(0, -2)

F(9, -6) becomes F'(3, -2)

G(9, 3) becomes G'(3, 1)

H(0, 3) becomes H'(0, 1)

Hence the coordinates are E'(0, -2), F'(3, -2), G'(3, 1) and H'(0, 1).

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Answer:

35 hours during week pay: 498.75

2.50 more on weekends

Lets us find unit rate

498.75/35= 14.25

14.25 dollars on weekday add 2.50 and...

16.75 dollars is pay per hour on weekends

16.75*6= 100.5

100.5+498.75=

599.25 dollars

Step-by-step explanation:

Answer:

512.75$

Step-by-step explanation:

2.50 x 6 = 15.00$

So, add 15 to 498.75 by using standard algorithm.

Your result should be 512.75$

Therefore, your answer would be 512.75$

-kiniwih426

Answer:

(x-7)^2 + (y-9)^2 = 25

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

first of all thank you for reading this

it's addition which 3 + m

Since we have the following probabilities:

then, this is not a fair game, since Andrew has a 1/4 probability of winning and Liz has a 1/8 probability of winning

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (1, 7) ← 2 points on the line

m = \(\frac{7-1}{1-(-2)}\) = \(\frac{6}{1+2}\) = \(\frac{6}{3}\) = 2

use either of the 2 points on the line

using (- 2, 1 ) , then

y - 1 = 2(x - (- 2) ) , that is

y - 1 = 2(x + 2) ← equation in point- slope form

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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