How many yards is 38.7 cm? Write your answer in scientific notation with 3 sig figs.

Answer:

answer is 156753.03

Step-by-step explanation:

Answer:

Rhombuses have…

The only way it could be a rhombus is if it is a square

Try to draw it out, if it is a square this is true

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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Given:

Sam left Malaysia at 12 pm local time.

The flight time was 12 hours.

Malaysia is 7 hours ahead of UK.

To find:

The local time in UK when he arrived.

Solution:

It is given that Sam left Malaysia at 12 pm local time and the flight time was 12 hours.

12 hours after 12 pm is 12 am. It means local time in Malaysia when he reached UK is 12 am.

Malaysia is 7 hours ahead of UK. So, we need to subtract 7 hours from 12 am to get the local time in UK when he arrived.

12 am is midnight. So, 7 hours before 12 am is 5 pm.

12 am - 7 hours = 5 pm

Therefore, the local time in UK when he arrived is 5 pm.

110 is 10x bigger than 11.

To find what is 10 times bigger than 11, you can multiply 11 by 10.

11 x 10 = 110

Therefore, 110 is 10 times bigger than 11.

To clarify, "10 times bigger than 11" means you are increasing the value of 11 by a factor of 10. This is different from "10% bigger than 11," which means you are increasing the value of 11 by 10% of its original value, resulting in a new value of 12.1.

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Let's create a vector F(x, y, z) with at least two variables in its components:

F(x, y, z) = (xy + 2z)i + (yz + 3x)j + (xz + y)k

Now, let's find the gradient, divergence, and curl of this vector:

1. Gradient (∇F):

The gradient of a vector is given by the partial derivatives of its components with respect to each variable. For our vector F(x, y, z), the gradient is:

∇F = (∂F/∂x)i + (∂F/∂y)j + (∂F/∂z)k

Calculating the partial derivatives:

∂F/∂x = yj + zk

∂F/∂y = xi + zk

∂F/∂z = 2i + xj

Therefore, the gradient ∇F is:

∇F = (yj + zk)i + (xi + zk)j + (2i + xj)k

2. Divergence (div F):

The divergence of a vector is the dot product of the gradient with the del operator (∇). For our vector F(x, y, z), the divergence is:

div F = ∇ · F

Calculating the dot product:

div F = (∂F/∂x) + (∂F/∂y) + (∂F/∂z)

Substituting the partial derivatives:

div F = y + x + 2

Therefore, the divergence of F is:

div F = y + x + 2

3. Curl (curl F):

The curl of a vector is given by the cross product of the gradient with the del operator (∇). For our vector F(x, y, z), the curl is:

curl F = ∇ × F

Calculating the cross product:

curl F = (∂F/∂y - ∂F/∂z)i - (∂F/∂x - ∂F/∂z)j + (∂F/∂x - ∂F/∂y)k

Substituting the partial derivatives:

curl F = (z - 3x) i - (z - 2y) j + (y - x) k

Therefore, the curl of F is:

curl F = (z - 3x)i - (z - 2y)j + (y - x)k

That's it! We have calculated the gradient (∇F), divergence (div F), and curl (curl F) of the given vector F(x, y, z) by finding the partial derivatives, performing dot and cross products, and simplifying the results.

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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The control limits for the ranges are:

LCL = 0 and UCL = 0.336.

Here are the steps to calculate the control limits for averages and ranges:

Sample size = 4; X = 70; R = 7a.

The control limits for the averages

LCL = Xbar - A2R = 70 - (0.729 x 7) = 65.09

UCL = Xbar + A2R = 70 + (0.729 x 7) = 74.91

Therefore, the control limits for the averages are:

LCL = 65.09 and UCL = 74.91

The control limits for the ranges

LCL = D3

R = 0 x 7

  = 0

UCL = D4

R = 2.282 x 7

  = 15.974

Therefore, the control limits for the ranges are:

LCL = 0 and UCL = 15.974

Sample size = 5;

X = 4.43;

R = 0.103

b. The control limits for the averages

LCL = Xbar - A2R = 4.43 - (0.577 x 0.103) = 4.377

UCL = Xbar + A2R = 4.43 + (0.577 x 0.103) = 4.483

Therefore, the control limits for the averages are:

LCL = 4.377 and UCL = 4.483

The control limits for the ranges

LCL = D3R = 0 x 0.103 = 0UCL = D4R = 3.267 x 0.103 = 0.336

Therefore, the control limits for the ranges are:

LCL = 0 and UCL = 0.336.

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Note that the correlation coefficients matched with the correct association are given as follows:

0.52: Moderate association

-0.86: Strong association

0.93: Strong association

-0.66: Moderate association

-0.01: Weak association

A correlation coefficient is a quantitative measure of a statistical connection between two variables.

The variables might be two columns from a specified data set of observations, commonly referred to as a sample, or two factors of a multivariate random variable with a known distribution.

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The greatest integer $x$ that yields a sequence of maximum length is $\boxed{632}.

Let $a_1$ and $a_2$ be the first two terms of the sequence, $x$ is the third term, and $a_4$ is the next term. The sequence can be written as:\[1000, x, 1000-x, 2x-1000, 3x-2000, \ldots\]To obtain each succeeding term from the previous two.

Thus,\($a_6 = 5x-3000,$ $a_7 = 8x-5000,$ $a_8 = 13x-8000,$\) and so on. As a result, the value of the $n$th term is \($F_{n-2}x - F_{n-3}1000$\) for $n \geqslant 5,$ where $F_n$ is the $n$th term of the Fibonacci sequence.

So we need to determine the maximum $n$ such that geqslant 0.$ Note that \(\[F_n > \frac{5}{8} \cdot 2.5^n\]for all $n \geqslant 0\).$ Hence,\(\[F_{n-2}x-F_{n-3}1000 > \frac{5}{8}(2.5^{n-2}x-2.5^{n-3}\cdot 1000).\]\)

For the sequence to have a non-negative term, this must be positive, so we get the inequality.

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Answer:

Step-by-step explanation:15 % of x = 20%of y , 15 x =20 y , x÷y =20 ÷15 , let x =15 and y = 20 , y has 3÷4 amount of x ,

Answer:

9 ft

Step-by-step explanation:

Here, we have a square wall with a value of 84 square feet for the area and we are told to find the approximate height of the walls

Mathematically, the area of a square is L^2

The height of the walls is just as one of its side

Thus;

L^2 = 84

L = √(84)

L = 9.165

which to the nearest foot is 9 ft

The larger sample size or a smaller significance level would increase the power for both cases.

Given data:The heat evolved in calories per gram of a cement mixture is approximately normally distributed.The mean is thought to be 100 and the standard deviation is 2. We wish to test H0:  μ = 100 versus H1: μ ≠ 100 with a sample of n = 9 specimens.(a) If the rejection region is defined as  or , find the type I error probability.The type I error probability is the probability of rejecting the null hypothesis H0 when it is true. It is given by the significance level or alpha (α).For two-tailed tests, the rejection region is defined by two critical values or z-scores, one in each tail.The z-score for  is:z = (98.5 - 100) / (2 / √9) = -2.25The corresponding probability is P(Z ≤ -2.25) = 0.0122.The z-score for  is:z = (101.5 - 100) / (2 / √9) = 2.25The corresponding probability is P(Z ≥ 2.25) = 0.0122.The total type I error probability is the sum of the two tail probabilities: P(Type I error) = 0.0122 + 0.0122 = 0.0244(b) Find for the case where the true mean heat evolved is 103.The sample mean is still assumed to be 100, but the true mean is 103. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator.

For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 103, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (103 - 100) / (2 / √9) = 4.5t = t(0.975, 8, 4.5) = 2.31β = P(Type II error) = P(|t| < 2.31) = 0.1335Power = 1 - β = 0.8665(c) Find for the case where the true mean heat evolved is 105.The sample mean is still assumed to be 100, but the true mean is 105. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator. For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 105, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (105 - 100) / (2 / √9) = 6.75t = t(0.975, 8, 6.75) = 3.12β = P(Type II error) = P(|t| < 3.12) = 0.0457Power = 1 - β = 0.9543This value of power is smaller than the one found in part (b) because the true mean is farther away from the null value, and the sample size is fixed. A larger sample size or a smaller significance level would increase the power for both cases.

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Answer:

8 hours

Step-by-step explanation:

15/3 = 5

12/3 = 4

5 x 2 = 10

4 x 2 = 8

The infimum of s4 is -12 and the supremum of s4 is 12.

The set s4 is defined as the set of all values obtained by subtracting (-1)^11 from 1, i.e., s4 = {1 - (-1)^11 | n ∈ N}.

Since (-1)^11 = -1, we have s4 = {1 + 1, 1 - (-1), 1 + 1, 1 - (-1), ...} = {2, 0, 2, 0, ...}.

Therefore, the infimum of s4 is the smallest value in the set, which is -2, and the supremum of s4 is the largest value in the set, which is 2. However, since -2 is not actually in the set, the infimum of s4 is actually the smallest limit point of the set, which is -2 - 2 = -4. Similarly, the supremum of s4 is the largest limit point of the set, which is 2 + 2 = 4.

Therefore, the infimum is -4 and the supremum is 4.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Confidence coefficient or confidence level for the interval is 0.95.

What is confidence coefficient?

The proportion of samples of a given size that may be anticipated to contain the true mean is all that the confidence coefficient is.

Confidence level:

Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.

For example,

A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.

Main Body :

Confidence Interval = 95%

Hence the confidence interval would be 0.95.

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Answer:

I think it's 0.648

Step-by-step explanation:

10% of 4% of 162 = 0.648

Answer:

I think it's 0.648

Step-by-step explanation:

Answer:

24°

Step-by-step explanation:

Temperature dropped per hour = 4°

Therefore,

Change in temperature after 6 hours

= 6*4

=24°

Answer:

24

Step-by-step explanation:

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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Answer:

307.88

Step-by-step explanation:

V=πr2h

use this formula

easy peasy

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

Answer:

(1.25c) + (1p) ≥ 25

c is the amount of chocolate chip cookies

p is the amount of peanut butter cookies

Step-by-step explanation:

Answer:

A) 5

Step-by-step explanation:

We are given that:

\(x^2+kx+6=(x+n)(x+3)\)

Where k and n are constants.

And we want to find the value of k.

We can expand the right-hand side:

\(\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n\)

Hence:

\(x^2+kx+6=x^2+(n+3)x+3n\)

The coefficients of each term must be equivalent. In other words:

\(k=n+3\text{ and } 6=3n\)

Solve for n:

\(n=2\)

Now, we can solve for k:

\(k=(2)+3=5\)

Our answer is A.

Answer:

Blue

Step-by-step explanation:

Expected frequency is:

red 10/40 = 1/4 = 0.25 = 25%

blue 10/40 = 1/4 = 0.25 = 25%

yellow 10/40 = 1/4 = 0.25 = 25%

green 10/40 = 1/4 = 0.25 = 25%

Observed Frequency is:

red 1/7 = 0.14 = 14%

blue 2/7 = 0.28 = 28%               √

yellow 4/7 = 0.57 = 57%

green 0/7 = 0.00 = 0%

hope it helps you

I am trying to help you

Cut off cut off from 11m

2 3/5 +3 3/10

13/5 +33/10

(26+33)/10

59/10 m

Length of remaining= 11-59/10

(110 -59)/10

51/10

5 1/10 m ans.

Answer:

y = - 1

Step-by-step explanation:

\(\frac{4}{y}\) + 2 = \(\frac{10}{5y}\)

multiply through by 5y to clear the fractions

20 + 10y = 10 ( subtract 20 from both sides )

10y = - 10 ( divide both sides by 10 )

y = - 1

Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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