can some one help me with this please​

By forming null and alternative hypotheses and using statistical tests, the evidence suggests that the mean speed of trucks on the I-65 highway is less than 69 miles per hour.

In your case, the null hypothesis would be: "The mean speed of trucks on the I-65 highway is equal to 69 miles per hour." The alternative hypothesis would be: "The mean speed of trucks on the I-65 highway is less than 69 miles per hour."

In your case, the sample mean speed of trucks on the I-65 highway was 67.8 miles per hour. To calculate the test statistic, we would use a t-test since the sample size is small (n=30). The t-test would give us a value of t=-1.83. We would then compare this value to a critical value from a t-distribution table with 29 degrees of freedom and a significance level of 0.05. The critical value is -1.699.

Since the test statistic (-1.83) is less than the critical value (-1.699), we reject the null hypothesis in favor of the alternative hypothesis. This means that there is evidence to suggest that the mean speed of trucks on the I-65 highway is less than 69 miles per hour.

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Answer:

The number is each coins

1 rupee = 30

50 paisa = 60

25 paisa = 120

Step-by-step explanation:

1 rupee

50 paisa = 0.5 rupee

25 paisa = 0.25 rupee

1 : 2 (×0.5): 4(×0.25) = 1 rupee : 1 rupee : 1 rupee

90÷ 3 = 30

The number is each coins

1 rupee = 30

50 paisa = 60

25 paisa = 120

The resulting F-statistic for the ANOVA test on the pesticide treatments is approximately 11.5192.

To calculate the F-statistic, we first need to compute the sum of squares between (SSB) and the sum of squares within (SSW).

Then, we can determine the mean square between (MSB) and the mean square within (MSW), followed by calculating the F-statistic.

Given the following summary statistics:

Treatment X:
n = 14
Mean = 81.7
Standard Deviation = 9.12

Treatment Y:
n = 14
Mean = 73.7
Standard Deviation = 9.08

Control:
n = 14
Mean = 90.5
Standard Deviation = 9.58

Let's proceed with the calculations:

Step 1: Calculate SSB (Sum of Squares Between):
Overall Mean = (81.7 + 73.7 + 90.5) / 3 = 81.97

SSB = 14 * [(81.7 - 81.97)^2 + (73.7 - 81.97)^2 + (90.5 - 81.97)^2]
   = 14 * [(-0.27)^2 + (-8.27)^2 + (8.53)^2]
   = 14 * [0.0729 + 68.4529 + 72.7409]
   = 14 * 141.2667
   = 1977.7333

Step 2: Calculate SSW (Sum of Squares Within):
SSW = (14 - 1) * [(9.12^2) + (9.08^2) + (9.58^2)]
   = 13 * [83.3344 + 82.4464 + 91.6164]
   = 13 * 257.3972
   = 3346.1604

Step 3: Calculate the degrees of freedom:
dfB = Number of groups - 1 = 3 - 1 = 2
dfW = Total sample size - Number of groups = 14 * 3 - 3 = 39

Step 4: Calculate MSB (Mean Square Between):
MSB = SSB / dfB = 1977.7333 / 2 = 988.8667

Step 5: Calculate MSW (Mean Square Within):
MSW = SSW / dfW = 3346.1604 / 39 = 85.7426

Step 6: Calculate the F-statistic:
F-statistic = MSB / MSW = 988.8667 / 85.7426 = 11.5192

Therefore, the resulting F-statistic for this test is approximately 11.5192.

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Answer:

Inverse of  -6x+22 is
\(\boxed{-\dfrac{x-22}{6}}\)

Graphs attached

Step-by-step explanation:

Original function y = k(x) = -6x + 22

To find the inverse of this function

Replace x with y
x = -6y + 22

Solve for x

Answer:

(-0.5,0)

Step-by-step explanation:

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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Answer:

1st Question: 15   2nd Question: 52

Step-by-step explanation:

Each shape is a right triangle, that means it's 90 degrees. If you subtract the number shown by 90, you will have your missing value.

False. The given sequence X; where (e ; t = 0,1,... is an i.d sequence with zero mean and constant variance of σ^2, does not necessarily imply that the process is asymptotically uncorrelated.

The term "asymptotically uncorrelated" refers to the property where the autocovariance between observations of the time series tends to zero as the lag between the observations increases. In the given sequence, since the random variables e; are independent, the cross-covariance between different observations will indeed tend to zero as the lag increases. However, the process may still have non-zero autocovariance for individual observations, depending on the properties of the underlying random variables.

In order for the process to be asymptotically uncorrelated, not only should the cross-covariance tend to zero, but the autocovariance should also tend to zero. This would require additional assumptions about the distribution of the random variables e; beyond just being i.d with zero mean and constant variance.

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Evaluating the integral-  \(\int_0^1 (u+2)(u-3) du\) we get the simplified answer = -37/6.

Let's evaluate the integral as follows -

\(\int_0^1 (u+2)(u-3) du\)

now lets multiply the expression and we will get,  

\(= \int_0^1 u^2-u-6 d u\)

Distributing the integrals to each expression.

\(= \int_0^1 u^2 d u+\int_0^1-u d u+\int_0^1-6 d u\)

By the Power Rule, the integral of \($u^2$\) with respect to u is  \($\frac{1}{3} u^3$\).

\(= \left.\frac{1}{3} u^3\right]_0^1+\int_0^1-u d u+\int_0^1-6 d u\)

Since -1 is constant w.r.t u, move -1 out of the integral of the second term.

\(= \left.\frac{1}{3} u^3\right]_0^1 -\int_0^1u d u+\int_0^1-6 d u\)

By using the power rule, the integral of \($u^2$\) w.r.t to u is \($\frac{1}{2} u^2$\)

\(= \left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{1}{2} u^2\right]_0^1\right)+\int_0^1-6 d u\)

Let's Combine \($\frac{1}{2}$\) and \($u^2$\).

\(= $$\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+\int_0^1-6 d u$$\)

Now, apply the constant rule,

\(= $$\left.\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+-6 u\right]_0^1$$\)

Substituting the limits and simplifying we get,

= -37/6

Hence, the simplified answer for the given integral \(\int_0^1 (u+2)(u-3) du\) is -37/6.

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The complete question is-

Evaluate the integral-  \(\int_0^1 (u+2)(u-3) du\).

Answer:

\(4\) inches.

Step-by-step explanation:

Length of first ribbon \(=12\) inches.

Length of second ribbon \(=20\) inches.

To find the greatest length he can make of smaller strips that are all equal in length, we need to find the H.C.F of the two numbers.

\(12=2\times 2\times 3\)

\(20=2\times 2\times 5\)

For H.C.F, we will take the product of all the common factors in the prime factorization of the two numbers.

H.C.F \(=2\times 2=4\)

So, he can cut three \(4\) inches ribbons from the \(12\) inches ribbon and five \(4\) inches ribbons from the \(20\) inches ribbon.

Hence, the greatest length he can make of smaller strips that are all equal in length is \(4\) inches.

Answer:

Answer Choice A (8, eight)

Step-by-step explanation:

To begin, add all of the marbles together. When finished, the answer should be 20. Because the variable 20 equals 100, you divide 4 by 100. You will get 0.04 as a result. This multiplied by 20 equals 8. Finally, the answer is A.

The average speed in miles per hour is 1.67 miles/hour

What is her average speed?

Average speed is calculated by dividing distance by time (eg miles/hour).

Given that, Noreen can walk 1/3 mile in 12 minutes.

We need to find her average speed.

We know that the total distance covered divided by the total time taken is called the average speed of Noreen.

Mathematically, it is given by :

v=d/t

t = 12 minutes = 0.2 hours

v=(1/3 mile)/0.2 hours

v = 1.67   miles/hour

So, the average speed of Noreen is 1.67  miles/hour. Hence, this is the required solution.

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Given a linear system of equations in unknowns x, y, and z with the following augmented matrix:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}Use Gauss-Jordan elimination to solve the system for x, y, and z.Solution:Step 1. The first step in solving this linear system of equations is to write the matrix in the form of an augmented matrix. In the following, we list the system of equations associated with the augmented matrix: 1x−1y=−72x+3y=24z−y=1  We begin by focusing on the first equation, which is:1x−1y=−7.

To get rid of the x-coefficient, we add one time the first equation to the second equation. This operation is written as follows:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}We add row1 to row2. -2r1 + r2 = r2{-2, 2, 0, 0, 14}r3 = r3This gives us the new augmented matrix.{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}Step 2Next, we focus on the second equation:0x+1y=−5.

The y-variable is isolated, and we now look at the third equation.4z−2y=1We can isolate the variable z by dividing the entire equation by 4 as follows:z−0.5y=0.25In order to eliminate y in the third row, we add 0.5 times the second row to the third row. This operation is written as follows:{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}We add 0.5 r2 to r3. r3 + 0.5r2 = r3{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -1, -1]}Step 3We can now solve for z using the third equation:4z−1y=−1z = (-1 + y) / 4.

Substituting this into the second equation gives:-2((1 - y) / 4) + 3y = 2y - 1 = 2y - 1Thus, y = 1/2.Substituting the value of y = 1/2 into the first equation gives:x - (1/2) = -7, so x = -13/2.Finally, we can substitute the values of x and y into the third equation to get the value of z: 4z - 1(1/2) = -1, so z = -3/2.The solution to the system of linear equations is: x = -13/2, y = 1/2, and z = -3/2.

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Answer:

x-intercept: (38/7,0) y-intercept: (0,-38)

Step-by-step explanation:

I think

Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Using the above information, we can calculate the missing figures in the table and this is shown on the table attached.

For the "Shorts" row: It's given that 42 people were wearing shorts.

Therefore, the "Close-Toed Shoes" column in the "Shorts" row is also 42, and the "Total" column is the sum of open-toed and closed-toed shoes, which is 84.

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See text below

30 people surveyed were wearing open-toed shoes.

1/3 of the people with open-toed shoes were wearing

pants.

• 42 people were wearing shorts.

Twice as many people were wearing closed-toed shoes

than open-toed shoes.

Complete the table using the information given.

                   Open-Toed Shoes              Close-Toed Shoes         Total

Shorts                     -------                           ------                               --------

Pants                         ------                           ----------                            ------

Total                          ------                           ----------                            ---------

Answer:

The answer is 1,404inch cubic

Step-by-step explanation:

Volume of rectangular prism = l*b*h

=18*13*6=1404

Answer:

$358.4

Step-by-step explanation:

To calculate the salesperson's commission, you can multiply the total sales by the commission rate. In this case, the commission is $3600 * 0.099 = $<<3600*0.099=358.4>>358.4. So the salesperson's commission would be $358.4.

To determine the number of offspring with skin darker than their parents, we need more information about the specific genetic inheritance patterns and traits involved.

The answer depends on factors such as the dominance or recessiveness of genes controlling skin color, the genotype of the parents, and the specific combination of alleles passed on to the offspring.

Without additional information, it is not possible to provide an accurate count of the number of offspring with darker skin. Genetic inheritance is a complex process that involves multiple genes and interactions, making it necessary to consider specific genetic traits and their inheritance patterns to determine the outcome.

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Explanation:

This is after using the nCr combination formula

\(_n C _r = \frac{n!}{r!*(n-r)!}\)

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Answer:

Rhombus.

Step-by-step explanation:

A rhombus is a  quadrilateral, meaning that it has four lateral sides. A Rhombus is a 2-dimensional shape, and has two lines of symmetry.  A Rhombus has a rotational symmetry of order two, and the opposite sides are parallel. Also, the opposite angles in Rhombus are equal. Th diagonals of a Rhombus bisect each other at a right angle.

Other quadrilateral shapes includes the Rectangle, Parallelogram, and the Kite.

Answer:

Answer is B

0.008

Step-by-step explanation:

Answer:

5. 20 times 6. 17 times

Step-by-step explanation:

Since there are 30 outcomes, you need to create a fraction and convert it to a whole number

5. 6/30 = 1/5 (multiply numerator and denominator by 20 to get 100 as the denominator). 20/100 = 20 times out of 100 spins

6. 5/30 = 1/6, (convert to a decimal) 0.167 = 0.17 since this turns into the fraction 17/100, there are 17 times after 100 spins

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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Statistical sampling is generally considered better to use than nonstatistical sampling when testing controls because it allows for more objective and precise results.

With statistical sampling, a representative sample of items is selected using a predetermined method, which ensures that the sample is unbiased and has a known level of precision. This means that the results obtained from the sample can be extrapolated to the entire population with a high degree of confidence. Nonstatistical sampling, on the other hand, relies on the judgment of the auditor to select the sample items, which can lead to a biased sample and less precise results. Additionally, statistical sampling allows for the calculation of sample sizes based on the desired level of confidence and the estimated error rate, which can help optimize the testing process and reduce costs. Overall, statistical sampling is a more reliable and efficient method for testing controls than nonstatistical sampling.

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Answer:

25, 5

Step-by-step explanation:

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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Answer:

x = 8

Step-by-step explanation:

Perimeter :