a number is the square root of 16 and also the square root of 2. what is the number?​

Answer:

No

Step-by-step explanation:

Answer:

It is 1,200$ per square foot.

Step-by-step explanation:

540,000$ divide by 450 equals 1,200$

:))

The monomial is a perfect cube is \(\rm 343p^6q^{21}r^6\).

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which monomial is a perfect cube?

A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.

It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.

A perfect cube monomial must have exponents on the variables.

Then

The monomial is a perfect cube is;

\(\rm= 343p^6q^{21}r^6\\\\= \sqrt[3]{ 343 }= 7\)

Hence, the monomial is a perfect cube is \(\rm 343p^6q^{21}r^6\).

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Answer:

D

Step-by-step explanation: right on edge

Answer:

C. 8.1 Inches

Step-by-step explanation:

Take 100 Ib. and multiply it by 0.9. You get 90 lb. Now referring to the fraction rule, do the same to the "denominator": 9 In. x 0.9, and you get 8.1 Inches.

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer: Mean: 14, Median: 11, Mode: 8

Step-by-step explanation:

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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A total of 14 additives were included here in a study of the effects of various health additives on various top runners.

One-Way ANOVA Test :;Uses one-way analysis of variance (ANOVA) to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.

Need of One way ANOVA :

When working with individuals, this situation can be encountered using two different types of study designs group. Then have each group perform a different task and measure the outcome/response to the same dependent variable. In the given problem, the term "Between" in the source table refers to processing. The term "within" refers to the error term. The inner term represents the variability that exists between runners. The total number of

additives is one more than his total number of

degrees of freedom (df). Total degrees of freedom for = N – 1. Total degrees of freedom = 18,so N= 19

Hence, total additives for given study is 19.

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Complete Question:

study was made on the effects of several health additives for a number of elite

runners. The results of a One-Way ANOVA are presented in the following table.

how many additives were in the study?

Source। Df Sum of Squares MS

Between 3 55.00

Within 15 450.00

Total 18 505.50

A. 18

B. 19

C. 7

D. 8

"The solution of the given expressions are as follows:

a) 21!/17!=27720

b) 7P4=210

c) 10C6=210

a. 21!/17!

To solve this problem, we need to understand the concept of factorials. A factorial is a product of a whole number and all the whole numbers below it. For example, 5! is equal to 5 x 4 x 3 x 2 x 1, which is equal to 120.

In this problem, we need to find the value of 21!/17!. This means we need to multiply all the whole numbers from 21 down to 17. However, we notice that both the numerator and denominator contain 17!. So, we can cancel out the 17! terms from both the numerator and denominator, leaving us with:

21 x 20 x 19 x 18

We can multiply these four numbers together to get the final answer, which is:

27,720

b. 7p4

In this problem, we need to find the number of ways we can arrange 4 objects out of a set of 7 objects, where order matters. We use the formula for permutations, which is:

nPr = n!/(n-r)!

In this formula, n represents the total number of objects and r represents the number of objects we are arranging.

So, in this case, we have n = 7 and r = 4. Plugging these values into the formula, we get:

7P4 = 7!/3!

Simplifying this expression, we get:

7 x 6 x 5 x 4 / 4 x 3 x 2 x 1

Canceling out terms, we get:

7 x 6 x 5 = 210

So, there are 210 ways we can arrange 4 objects out of a set of 7 objects.

c. 10c6

In this problem, we need to find the number of ways we can choose 6 objects out of a set of 10 objects, where order does not matter. We use the formula for combinations, which is:

nCr = n!/(r!(n-r)!)

In this formula, n represents the total number of objects and r represents the number of objects we are choosing.

So, in this case, we have n = 10 and r = 6. Plugging these values into the formula, we get:

10C6 = 10!/6!(10-6)!

Simplifying this expression, we get:

10 x 9 x 8 x 7 / 4 x 3 x 2 x 1

Canceling out terms, we get:

210

So, there are 210 ways we can choose 6 objects out of a set of 10 objects.

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Groups A, B, and C have means of 4, 6, and 8, respectively. There are 15 cases in total, with equal sample sizes in each group. Within is 120. 16-7. 16-4a, the value of omega-squared is 0.25.

What is omega-squared?

       In statistics, omega-squared is a measure of effect size that can be used for one-way ANOVA to determine how much variance is due to the treatment or independent variable. It is calculated by dividing the between-group variance by the total variance, which includes both the within-group and between-group variance.

       Omega-squared is used to determine the percentage of variance accounted for by a particular factor or treatment. It is represented as ω2 and ranges from 0 to 1, with higher values indicating a stronger relationship between the independent variable and the dependent variable.

       The formula for omega-squared is as follows:

                         ω2=SSBetween / SSTotalSSWithin

                              = SSTotal - SS Between

         Where SSTotal is the sum of squares for the total variance.SSBetween is the sum of squares between the groups, and within is the sum of squares within the groups.

     The given information is:

                       Mean of group A = 4Mean of group

                                                 B = 6Mean of group

                                                 C = 8Total cases

                                                    = 15SSWithin

                                                    = 120

             We can calculate the sum of squares between the groups as follows:

                        SSTotal = SSBetween + SSWithinSSTotal

                                      = (nA + nB + nC - 1) × (σA² + σB² + σC²)SSBetween

                                      = SSTotal - SS Within SS Between

                                      = (3 - 1) × (42 + 62 + 82) - 120SSBetween

                                      = 80 Next,

           we can calculate the total variance as:

                      SSTotal = SSWithin + SSBetweenSSTotal

                                    = 120 + 80SSTotal

                                     = 200

            Now, we can calculate omega-squared as follows:

                     ω2 = SSBetween / SSTotalω2

                           = 80/200ω2

                           =0.4

       Hence, the value of omega-squared is 0.25.

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Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

Answer:

Rounded to the nearest tenth, the volume is 1,437,773.5 cubic units.

Step-by-step explanation:

First, we need to use the formula for the circumference of a sphere to find the radius:

C = 2πr

140π = 2πr

r = 70

Now we can use the formula for the volume of a sphere:

V = (4/3)πr^3

V = (4/3)π(70)^3

V ≈ 1,437,773.5

Answer:

2x+3y=4 I don't know the variables so I use x and y

the number of people who like both tea and cofee is 50

The correct answer is:

The results of the ANOVA indicate that both Kia and Honda have significantly better gas mileage than Ford.

Given is an information about,
Least Squares Means

Adjustment for Multiple Comparisons: Tukey-Kramer

We need to identify the correct answer from the options given.

So, from the table we can conclude that "the results of the ANOVA indicate that both Kia and Honda have significantly better gas mileage than Ford."

This can be inferred from the comparison of LSMEAN numbers in the table.

The LSMEAN number for Ford is 1, for Honda it is 2, and for Kia it is 3. Comparing the values in the table, we can see that the Pr > t values for the comparisons between Ford and both Honda and Kia are less than the significance level (0.05).

This indicates that there are significant differences in gas mileage between Ford and both Honda and Kia, suggesting that both Honda and Kia have significantly better gas mileage than Ford.

Hence the correct option is 4th.

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Complete question is attached.

Answer:

- 1

Step-by-step explanation:

Step 1:

3n = n - 2

Step 2:

2n = - 2

Answer:

n = - 1

Hope This Helps :)

Answer: The 12.81 for 14 lbs of apples is the better buy.

Step-by-step explanation:

Find the unit price (the price of 1 lb of apples)

7.64/8 lbs = 0.955 per pound

12.81/14 lbs. = 0.915 per pound;

The actual length of the bus is 35 feet

From the question, we have the following parameters that can be used in our computation:

Scale drawing:

The scale is given as

7 inches : 2 inches = x : 10 feet

Express the ratio as a fraction

So, we have

7/2 = x/10

Make x the subject

This gives

x = 10 * 7/2

Evaluate

x = 35

Hence, the actual length is 35 feet

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Answer:

Side length = 5 root 2

perimeter is (5 root 2)*3

Step-by-step explanation:

Use pythagoras

a^2 = b^2 + c^2

a^2 = 5 root 2

(5 root 2)^2 = (c^2)/2 + c^2

75 = (c^2)/2 + c^2

150 = c^2 + 2c^2

150 = 3c^2

50=c^2

root of 50 = 5 root 2

as it is equiliateral triangle all sides are the same

Answer:

Side: 10

Perimeter: 30

Step-by-step explanation:

An equilateral triangle has a height of 5√3. What is the length of each side in the equilateral triangle? What is the perimeter of the equilateral triangle?

In triangles with angles with 30°, 60°, and 90°, the hypotenuse (the angle opposite to the 90° angle) is twice as long as the base, and the height is √3 times as long as the base. To make it easier, this is a list of the sides:

x = base

√3 * x = height

2x = hypotenuse.

Look at the drawing I have attached below

If AD is the base of the triangle ADC, then CD, the height is √3 times AD. If we set AD as x, CD = √3*x = 5√3

√3*x = 5√3

Divide both sides by √3.

x = 5

Then, because altitudes in equilateral triangles bisect the base (CD cuts AB in half), then AB = 10.

The sides in equilateral triangles are equal, so each side is 10.

Then, the perimeter must be 30.

I hope this helps! Feel free to ask any questions!

The only point that lies on both lines is (-4,5).

To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.

For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.

Substituting the coordinates of each point into these equations, we get:

For the point (-4,5):

-4(2) + 16/4 = -4 + 4 = 0, and

-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.

Therefore, (-4,5) satisfies both equations.

For the point (4,3):

4(2) + 16/4 = 8 + 4 = 12, and

-3(4) + 13/5 = -12 + 13/5 = -47/5.

Therefore, (4,3) does not satisfy both equations.

For the point (1,2):

-1(2) + 16/4 = -2 + 4 = 2, and

-3(1) + 13/5 = -3 + 13/5 = 2/5.

Therefore, (1,2) does not satisfy both equations.

Therefore, the only point that lies on both lines is (-4,5).

When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.

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Answer: Ha

Step-by-step explanation:

The maximum likelihood estimate for β is the sample mean.

To estimate the parameter β of a gamma distribution with a known shape parameter of 2 and a random sample of size

n, we can use the maximum likelihood method.

The likelihood function for this sample can be written as:

\(L(β) = (1/β^n) × (∏(i=1 to n) xi^(2-1)) × e^(-∑(i=1 to n) xi/β)\)

Taking the natural logarithm of the likelihood function, we get:

\(ln(L(β)) = -n × ln(β) + (2-1) × ∑(i=1 to n) ln(xi) - ∑(i=1 to n) xi/β\)

To find the maximum likelihood estimate for β, we differentiate ln(L(β)) with respect to β and set the result equal to zero:

\(d/dβ ln(L(β)) = -n/β + ∑(i=1 to n) xi/β^2 = 0\)

Solving for β, we get:

β = (∑(i=1 to n) xi)/n

Therefore, the maximum likelihood estimate for β is the sample mean.

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The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

The answer is C

Step-by-step explanation:

it is C because parallel lines don't intercept the go up or across but they don't touch, just imagine it isn't graphed.

Answer:

\(0 >n>-\frac{7}{2}\)

Step-by-step explanation:

\(2n+13-13>6-13\)

\(2n>-7\)

\(\frac{2n}{2}>\frac{-7}{2}\)

\(n>-\frac{7}{2}\)

n is negative, so it must be less than zero, \(0 >n>-\frac{7}{2}\)

Answer: The one on the bottom right.

Step-by-step explanation:

Symmetry is basically like a mirror. The line of symmetry is the exact point where it starts to reflect.

A symmetrical shape can also be folded onto itself equally.

Looking at the photo, the picture on the bottom right is the left part of the figure.

Answer:

27

Step-by-step explanation:

76-49= 27

Answer:

the range is 27

Step-by-step explanation:

The range is the largest number minus the smallest number

76 - 49 =27