compare: 6/11 to 5/9 which one is greater

The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

What is square of correlation coefficient?

A helpful number in linear regression is the square of the correlation coefficient, or r2.

The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.

Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.

The square of the correlation coefficient is what is meant by the term "coefficient of determination."

Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

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Answer:

18h - 3hk

Step-by-step explanation:

2h(6 - k)

= 2h(6) + 2h(-k)

= 12h + -2hk

= 12h - 2hk

Hope this helps!

Answer:

$8.50

Step-by-step explanation:

You divide $22.10 by 2.6 to get the price per pound of salmon.

22.10 ÷ 2.6 = 8.5

Parallelogram

Answer:

solution given:

properties of parallelogram:

Parallelogram

Explanation:-

The answer is rectangle if we omit condition 4.

But as diagonals are not perpendicular its parallelogram.

We are given a path c, and a vector field f. The path c is defined by r(t) = (t³, t², -2t) for 0 ≤ t ≤ 1. The vector field f = (-4sin x, 5cos y, 10xz). We are required to evaluate the line integral ∫cf ⋅ dr using the given information.To evaluate the line integral, we use the following formula:∫cf ⋅ dr = ∫abf(r(t)) ⋅ r'(t) dt.

Here, we can see that r(t) is already in vector form, so we don't need to convert it. We just need to find r'(t).Differentiating r(t) with respect to t, we get:r'(t) = (3t², 2t, -2)Substituting the given values of f and r'(t), we get:∫cf ⋅ dr = ∫₀¹ (-4sin t³, 5cos t², -20t³) ⋅ (3t², 2t, -2) dt= ∫₀¹ (-12t⁴ sin t³ + 10t cos t² - 20t⁴) dt= (-3t⁴ cos t³ + 5t³ sin t² - 5t⁵) from 0 to 1= -3 cos 1 + 5 sin 1 - 5The final answer is -3 cos 1 + 5 sin 1 - 5.

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The question tests on probability and combinations.

To obtain the probability for selecting exactly two red and 5 white urns is:

If Wi and Ri are events for selecting the ith ball, apply the multiplicative rule to obtain:

=P(W1∩W2∩W3∩W4∩W5∩R1∩R2)

= P(W1)P(W2|W1)P(W3|W1∩W2)P(W4|W1∩W2∩W3)P(W5|W1∩W2∩W3∩ W4)P(R1|W1∩W2∩W3∩W4∩W5)P(R2|W1∩W2∩W3∩W4∩W5∩R1)

=6/10×5/9×4/8×3/7×2/6×4/5×3/4

= 1/10

The probability is 1/10.

Alternatively, use the Bayes theorem. This uses combinations. To get the probability for exactly 5 white and 2 red, obtain the chance for selecting 5 white balls and 2 red balls; 6C5 and 4C2.

(6C5×4C2)/10C7 = 6×6/120 = 1/10

The probability for at least 5 balls is obtained by the probability of either selecting 5 or 6 balls.

Using combination;

(6C6 X6C5)/10C7 = (1x6)/120 = 6/120 = 1/20.

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If the length of one kind of fish is 2.5 inches, with a standard deviation of 0.2 inches. The probability that the average length of 100 randomly selected fishes is: d. 0.4332.

First step is to find the Standard Error  using this formula

Standard Error = Standard Deviation / √(Sample Size)

Standard Error  = 0.2 / √(100)

Standard Error  = 0.2 / 10

Standard Error  = 0.02 inches

We must determine the z-scores for both values using the following formula in order to determine the likelihood that the average length of 100 randomly chosen fish falls between 2.5 and 2.53 inches.

z = (x - μ) / σ

where:

x = value = 2.5 or 2.53 inches

μ = mean = 2.5 inches

σ = standard deviation =0.02 inches

2.5 inches:

z = (2.5 - 2.5) / 0.02

= 0 / 0.02

= 0

2.53 inches:

z = (2.53 - 2.5) / 0.02

= 0.03 / 0.02

= 1.5

Using a standard normal distribution table  find the probabilities associated with these z-scores.

Probability that a z-score is less than or equal to 0 is 0.5,

Probability that a z-score is less than or equal to 1.5  is approximately 0.9332.

So,

Probability = 0.9332 - 0.5

Probability = 0.4332

Therefore the correct option is  d. 0.4332.

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Steps to solve:

-8(x - 3) - 9

~Distribute

-8x + 24 - 9

~Combine like terms

-8x = 15

~Divide both sides by -8

x = 15/-8

Best of Luck!

Answer: 4x^7/5

Step-by-step explanation:

Reduce the numbers, then calculate the problem.

Answer:

Step-by-step explanation:

\(log \dfrac{a}{b}=log \ a - log \ b\\\\log \ a^{m}=m*log \ a\\\\\\log_{3} \ \dfrac{16}{7}=log_{3} \ 16 - log_{3} \ 7\\\\\\= log_{3} \ 4^{2} - log_{3} \ 7\\\\=2*log_{3} \ 4 - log_{3} \ 7\\\\= 2 * 1.262 - 1.771\\\\= 2.524 - 1.771\\\\= 0.753\)

The number of seconds will it take the ball to hit the ground will be 2.078 seconds.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given,

h(t)=-16t² + 14t + 40

The time when the ball hit the ground h(t) = 0

-16t² + 14t + 40 = 0

-8t² + 7t + 20 = 0

8t² - 7t - 20 = 0

t = (7 ± 26.25)16

t = 2.078 seconds

Since time can never be negative thus, 2.078 seconds will be correct.

Hence "The number of seconds will it take the ball to hit the ground will be 2.078 seconds".

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Answer:

10m¹²

Step-by-step explanation:

         \(\boxed{a^m*a^n = a^{m+n}}\)

In exponent multiplication, if bases are same, add the exponents.

         2m⁴ * 5m⁸ = (2*5) * m⁽⁴⁺⁸⁾

                           = 10m¹²

When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

Given,

The cost of Carpet per square foot = $4

Total cost of the carpet = $616

We know

Area of the rectangle = Length × Width

Length = 14 feet

Consider the width of the rectangular room as x

Then the area of the room = 14x

Total cost of carpet = Area of the rectangular room× Cost of carpet per foot

Substitute the values

14x×4=616

14x=154

x=11 feet

Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

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Answer:

x=7

Step-by-step explanation:

y=mx

5.5=m×11

5.5÷11=m

m=1/2

y=mx

3.5=1/2×x

3.5÷1/2=x

x=7

Answer:

x =7

Step-by-step explanation:

The direct variation equation is y = kx, where k is the constant of proportionality.

If y = 5.5 when x = 11, we can write 5.5 = 11k, which, when solved for k, yields k = 0.5.  

Then the direct variation equation in this case is y = 0.5x.

If y = 3.5, what is x?  y = 0.5x becomes 3.5 = 0.5x, yielding x = 7

To know which girl ate the most, we have to compare the two fractions.

To be able to compare the fractions, we can:

1.- We convert to decimal numbers.

2.- We modify the fractions such that both fractions have the same denominator.

To compare the fraction we will change them in a way that both have the same denominator.

Recall that a fraction represents the same number if we multiply it and divide it by the same number.

Notice that:

Since both fractions are the same, we can conclude that both girls ate the same amount.

Answer: 3/6 is equal to 4/8.

Both girls ate the same amount

Answer:

No not at all

Step-by-step explanation:

Answer:

Nah

Step-by-step explanation:

I do too, I hate when fractions are included.

Answer:

81.1111111111111

Step-by-step explanation:

Becuse

Answer:

80 (Estimate, we'll get to the exact result at the end.)

Step-by-step explanation:

\(\mathrm{(Round)~If~x < 5,~x=y.0}\)

→ y is the number, for instance, 60.0 since 63.0 in the ones/tenths place is less than 5 or 0.5

\(20 \times 70 = 1,400\)

→ imagine the newly rounded 73 as 2 × 7 which is 140, but it's 2 more 0's, so it's 1,400.

\(\bold{77}\\18|1,400\\18 \times 7 = 126\\140 - 126 = 14\\18 \times 7 = 126\\140 - 126 = 14\)

→ long division was performed. for each time a 0 appeared in 14 when 140 was subtracted by 126(18 • 7), a zero was either borrowed from 1,400 or dropped from 1,400 which became our remainder of 14 both ways around.

→ 77 is close to 75 but not below 5, so it round to 80. therefore, your estimate result is 80.

(The exact result is 81.1)

I hope this helped, let me know if you have concerns.

The system transfer function for the given zeros, poles, and gain is H(s) = K(s + 6)(s + 5)(s + 314j)(s + 2 + j), where K is the gain factor.

To determine the system transfer function, we need to consider the given zeros and poles. In this case, the system has zeros at -6, -5, and 0, and poles at -314j and -2-1. The transfer function of a system is determined by the product of factors corresponding to the zeros and poles.

The transfer function can be written as H(s) = K(s - z1)(s - z2)...(s - zn)/(s - p1)(s - p2)...(s - pm), where z1, z2, ..., zn are the zeros and p1, p2, ..., pm are the poles. The gain factor K represents the overall amplification or attenuation of the system.

By substituting the given zeros and poles into the transfer function equation, we obtain H(s) = K(s + 6)(s + 5)(s + 314j)(s + 2 + j). This equation represents the transfer function of the system, incorporating the given zeros, poles, and the gain factor of 1.

It is worth noting that the presence of the complex pole at -314j indicates that the system has a frequency response with an imaginary component, which can contribute to the system's behavior in the frequency domain.

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Answer:2.5kg

Step-by-step explanation:

As a leader, Jui-En tbelieve that he should change his behaviors to match the circumstances because no style works all the time. Jui-En is applying the socialized approach to leadership.

Employee motivation can be boosted by socialization, affirming reward, lead their vision, offer impressive benefits and encourage the temwork.

Employees who socialize who can sosialized in the workplace can increase their work efficiency because its reduce the work pressure by sharing information and teamwork which is important to thriving a company.

So, the correct answer is sosialized.

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Answer:

the object will fall 5060 feet in 10 second.

Step-by-step explanation:

g= 9.8m/s^2 and 9.8×3.33=32.67 feet/s^2.

initial velocity (u)= 16 feet/second

time taken(t)=10 second

final velocity(v)= ?

now,

V= u+ GT

=16+32.67×10

=342.67feet/second

again

distance covered= VT+1/2gt^2

=342.67×10+1/2×32.67×100

=3426.7+1633.33

=5060 feet

The values of a and b are :

\(a = \sqrt{3} \\ \\ •\sqrt{3} b = - 1 \\ \\ b = \frac{ - 1}{ \sqrt{3} }. \)

The quadrilateral with vertices (0,0), (5,0), (8,4), and (3,4) is a rhombus.

What is a rhombus?

A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.

What is a distance formula?

D = √(x₂ - x₁)² + (y₂ - y₁)²

Here, we have

Given vertices A(0,0), B(5,0), C(8,4), and D(3,4)

By applying the distance formula, we get

AB = √(5 - 0)² + (0 - 0)²  = 5

BC = √(8 - 5)² + (4 - 0)²  = 5

CD = √(3 - 8)² + (4 - 4)²  = 5

Hence, it's all sides are equal so it is a rhombus.

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Answer:

The answer is "320".

Step-by-step explanation:

They have to be 1, 3, 5, 7, and 9 as your final digit. Your middle digit may be anything other than the first digit, and only the last digit or 0, is anything.

Now let us take a look at strange digits ending in 1.

This can start from any digit other than 0, so there are 8 options during the first digit.

Its middle digit could only be 1 digit and 1 digit. Even so, it can also be 0, since it has 8 options.

So, \(8\times 8 = 64\) strange number ending in 1.

For other strange amounts, the very same logic is working.

And thus there are 64 possible odd numbers for just about any number ending in any of the five odd digits: 1, 3, 5, 7, or 9.

The answer is \(5 \times 64 = 320\).

Answer:

The answer is D: sin 11pi/6

<3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The given information provides a square thin plane lamina with side length 4 cm, which is earthed along three sides.

(i) Deriving expressions for the potential and electric field strength:

Electric Field Strength (E):

E = -∇V, where ∇ represents the gradient operator and V(x, y) = sin(πx/2a)sin(πy/2a).

Now, let's calculate the components of the electric field E using the partial derivatives:

E = -(∂V/∂x)î - (∂V/∂y)ĵ

= -[(πcos(πx/2a))/2a]î - [(πcos(πy/2a))/2a]ĵ

= -(π/2a)cos(πx/2a)î - (π/2a)cos(πy/2a)ĵ.

(ii) Calculating the values at the center of the plate:

Voltage at the center of the square:

V(x, y) = sin(πx/2a)sin(πy/2a)

V(0.02, 0.02) = sin(π/4)sin(π/4) = 0.5V.

Vector E field at the center of the square:

E = -(π/2a)cos(πx/2a)î - (π/2a)cos(πy/2a)ĵ

E(0.02, 0.02) = -(π/2(0.04))cos(π/4)î - (π/2(0.04))cos(π/4)ĵ

= -19.63î - 19.63ĵ V/m.

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Answer:

Yes, this is a function because none of the y values have 2 x values connected to them.