what is the differernce of b and 7

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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Answer:

2

3x+1

2x-3

Step-by-step explanation:

Answer:

D. 3

hope this helps

have a good day :)

Step-by-step explanation:

First we need slope

\(\\ \sf\longmapsto m=\dfrac{12-0}{7-0}\)

\(\\ \sf\longmapsto m=\dfrac{12}{7}\)

Put D co-ordinates on y=mx+b

\(\\ \sf\longmapsto 12=\dfrac{12}{7}(7)+b\)

\(\\ \sf\longmapsto 12=12+b\)

\(\\ \sf\longmapsto b=12-12\)

\(\\ \sf\longmapsto b=0\)

Now

slope intercept form.

\(\\ \sf\longmapsto y=\dfrac{12}{7}x\)

Answer:

• General equation of a line:

\({ \rm{y = mx + b}}\)

Consider end points of line CD: (0, 0) and (7, 12):

• find the slope, m:

\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \tt{m = \frac{12 - 0}{7 - 0} }} \\ \\ { \underline{ \tt{ \: \: m = \frac{12}{7} \: \: }}}\)

• using end point (0, 0), find the y-intercept, b:

\({ \rm{y = mx + b}} \\ \\ { \rm{0 = ( \frac{12}{7} \times 0) + b}} \\ \\ { \tt{b = 0}}\)

• therefore, equation of line CD is;

\({ \boxed{ \boxed{ \tt{ \: \: y = \frac{12}{7}x \: \: }}}}\)

The area of the preimage, the original rectangle before its dilation is 8.7 units².

area of the dilated image = 78 units²

Therefore,

a₂ = a₁k²

where

a₂ = image area of the dilated rectangle

a₁ = pre image of the dilated rectangle

k = scale factor

Therefore,

a₂ = 78 units²

a₁ = ?

k = 3

78 = a₁ × 3²

divide both sides by 3

a₁ = 78 / 9

a₁ = 8.7 units²

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John get 21 votes, Vivienne got 42 votes, and Nassim got 84 votes using the concept of equations.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It demonstrates the equal relationship between the expressions presented on the left and right sides.

Let t the number of votes John got  = x

So, the number of votes Vivienne received = 2x

Also, the number of Votes Nassim received = 2 (2x)

= 4x

The total number of votes is given by

= x + 2x + 4x

= 7x

Given the total number of voters = 148

So, we can write an equation

7x = 148

x = 148/7

x ≈ 21

So, John get 21 votes

Vivienne got 2(21) = 42 votes

Nassim got 4(21) = 84 votes

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Step-by-step explanation:

You can actually factorise this equation like how you factorise quadratic equations,

LHS = sin⁴a + 2sin²a cos²a + cos⁴a

= (sin²a + cos²a)²

Again, by using the identity sin²a + cos ²a = 1,

= (1)²

= 1

= RHS (Proven)

The angle of inclination or angle of incidence is 55.94 degrees.

Let the angle of incidence be θ.

Now,

cos θ = sin φ [sin δ cos β + cos δ cos γ cos ω sin β] + cos φ [cos γ cos ω cos β - sin δ cos γ sin β] + cos δ sin γ sin ω sin β

ω refers to Hour angle

γ refers to Surface Azimuth angle

δ refers to declination angle

β refers to Surface slope

φ refers to Latitude = 45.67 degree North, 118.78 degree West [For Pendleton]

So now calculating,

Declination angle (δ) = 23.45 * (sin [360(284 + n)/365])

here n = number of days out of 365 = 233 days till August 21. So,

δ = 23.45 * (sin [360(284 + 233)/365]) = 11.76 degrees

For surface inclined 35 degree from vertical, β = 35 degree

and facing south west, γ = 45 degree

ω = cos⁻¹ [- tan (φ - β) tan δ] = cos⁻¹ [- tan (45.67 - 35 ) tan 11.76] = cos⁻¹(-0.0391) = 92.24 degree

So now angle of incidence is,

cos θ = sin (45.67) [sin (11.76) cos (35) + cos (11.76) cos (45) cos ω sin (35)] + cos (45.67) [cos (45) cos ω cos (35) - sin (11.76) cos (45) sin (35)] + cos (11.76) sin (45) sin ω sin (35)

cos θ = 0.56

θ = cos⁻¹ (0.56) = 55.94 degrees

Hence the angle of inclination or angle of incidence is 55.94 degrees.

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Answer: See explanation

Step-by-step explanation:

x=-(2-2*the square root of 6)/5, about 0.58

or

x=-(2+2*the square root of 6)/5, about -1.38

The values of the x from equation  \(5x^2+4x-4=0\) are  x = 0.5798 and -1.38.

Given that:

Equation:  \(5x^2+4x-4=0\)

To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:

\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)

Compare the equation with \(ax^2 + bx + c = 0\).

Here, a = 5, b = 4, and c = -4.

Plugging in the values to get,

\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)

So the solutions for x are calculates as:

Taking positive sign,

\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)

x = 5.798/10

x = 0.5798

Taking negative sign,

\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)

x = -13.798/10

x = -1.38

Hence, the exact solutions for the equation  \(5x^2 + 4x - 4 = 0\)  are x = 0.5798 and -1.38.

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Answer:

f(1) = 1

f(1) = -2

f(1) = -8

Step-by-step explanation:

see where there is/are points on the graph where the y-value equals one

(1, 1)

(-2, 1)

(-8, 1)

Answer: (50,-20)

Step-by-step explanation:

Point B is (100,0).

Point A is (0,-40).

To find C you need the midpoint of both A and B, which means you add both coordinate x and coordinate y together to find the middle of both.

Midpoint of x coordinates:

100+0= 100

100÷2= 50

Midpoint of y coordinates:

0+(-40)= -40

-40÷2= -20

Therefore, point C is (50,-20)

Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

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Answer:

y = x² - w / 2z (D)

Step-by-step explanation:

w = x² - 2yz

w - x² = - 2yz

multiply both sides by -1

-1(w - x²) = -1 (-2yz)

-w + x² = 2yz

x² - w = 2yz

2yz = x² - w

divide both sides by 2z

y = x² - w / 2z

The question is asking for the probability of the chain failing under the given load. The strength of the links is independent of each other. We can use Bernoulli's trial to solve this problem.

Let's define the probability of any one link not failing under the given load as `p = 1 - q`. Here, q is the probability that any one link will fail under the given load.

The probability that all n links will not fail under the load can be calculated as `P(success) = p^n`. Here, we multiply the probability of success of one link by the probability of success of another link and so on until the nth link.

The probability of the chain failing is the complement of the probability that all the links will not fail. Hence, `P(failure) = 1 - P(success) = 1 - p^n`.

Therefore, the probability of the chain failing under the given load is `1 - p^n` or `1 - (1 - q)^n`.

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$$1,4,7,10,13,...,109$$ And we have to find the partial sum of the given sequence.

We know that the $n$th term of the arithmetic sequence is given by the formula:

$$a_n=a+(n-1)d$$Where $a$ is the first term and $d$ is the common difference.

So, we have the first term as $a=1$ and the common difference as $d=3$ because the difference between two consecutive terms is $3$.

We can find the $n$th term as:

$$a_n=1+(n-1)3$$ Simplifying this expression, we get:$$a_n=3n-2$$

Since we have to find the sum of the given sequence up to $n=37$, the required sum will be the sum of first $37$ terms of the sequence.

The formula to find the sum of first $n$ terms of an arithmetic sequence is given by:$$S_n=\frac{n}{2}[2a+(n-1)d]$$ Substituting the values of $a$ and $d$ in this formula, we get:$$S_{37}=\frac{37}{2}[2(1)+(37-1)3]$$$$S_{37}= \frac{37}{2}[74]$$$$S_{37}= 37\times 37$$$$S_{37}= 1369$$

The partial sum of the given sequence $$1+4+7+\cdots+109$$equals $\boxed{1369}$

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To find the composition (f∘g∘h)(x), where function f(x) = tan(x), g(x) = x/(x-7), and h(x) = 3√x, we substitute h(x) into g(x), and then substitute the result into f(x). The resulting composition can be evaluated by simplifying the expression.

First, we substitute h(x) = 3√x into g(x) = x/(x-7):

g(h(x)) = (3√x)/((3√x)-7)

Next, we substitute the result g(h(x)) into f(x) = tan(x):

f(g(h(x))) = tan((3√x)/((3√x)-7))

To evaluate the composition at a specific value x0, we substitute x0 into the expression for f(g(h(x))):

(f∘g∘h)(x0) = tan((3√x0)/((3√x0)-7))

This is the final result of the composition (f∘g∘h)(x). By substituting a specific value x0 into the expression, you can find the corresponding value of the composition at that point.

It's important to note that the expression may require simplification depending on the desired level of precision and the specific value of x0.

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It is partially true that the problem with measurement is that researchers cannot account for errors statistically.

During measurements, there is a huge possibility that an error will occur and even no result or measurement can be 100% accurate. This happens due to many factors like mistakes, approximations, and other physical factors.

Coming to the statement, definitely researchers cannot account for errors. This is true, but this is not a problem since it is something that will, for sure, occur. The major goal is towards minimizing it.

So, the given statement is partially true.

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

degree 11:leading coefficient-21

Answer:

\({ \tt{y = \frac{ - 3}{4}x - \frac{2}{5} }} \\ \)

• for y-intercept, x is zero

\({ \tt{y = ( \frac{ - 3}{4} \times 0) - \frac{2}{5} }} \\ \\ { \tt{ y = - \frac{2}{5} }}\)

• therefore:

\({ \tt{y - intercept : \: (0, \: - \frac{2}{5} ) }} \\ \)

Answer

x=5 y=2

Step-by-step explanation:

9514 1404 393

Explanation:

∠MRQ ≅ ∠NQR . . . . given

QR ≅ RQ . . . . reflexive property

∠PQR ≅ ∠PRQ . . . . property of isosceles triangle PQR

ΔQNR ≅ Δ RMQ . . . . ASA postulate

using standard z value, 20% of sandwiches are less than 10.58 inches.

In the given question,

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.

20% of sandwiches are less than...............inches.

The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.

From the question we know that

Mean(μ) = 11 inches

Standard Deviation(σ) = 0.5 inches

We have to find less than of 20% of sandwiches for z value of -0.84

P(ƶ<z) = 20%

We can write it as

P(ƶ<-0.84) = 20/100

P(ƶ<-0.84) = 0.20

Since z = -0.84

X-μ/σ = -0.84

Now putting the value

X-11/0.5 = -0.84

Multiply by 0.5 on both side

X-11/0.5 *0.5= -0.84*0.5

X-11= -0.42

Add 11 on both side

X-11+11= -0.42+11

X = 10.58

Hence, 20% of sandwiches are less than 10.58 inches.

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Right question is here

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)

(a) 11.500

(b) 11.42

(c) 10.58

(d) cannot be determined from the information given

The expected number of photons are \(N=1\) × \(10^{3} m^{2}\).

To put it simply, photons are basic subatomic particles that carry the electromagnetic force (and so much more). The photon is also the "quantum," or basic unit, of electromagnetic radiation.

Photons are all around us: Photons make up the light coming from the screen you're looking at, the X-rays doctors use to see bones, the radio in a car that sends out its signal, and the magnets on a refrigerator that support themselves.

Given: Total number of photons = 1 million

The graph represents the probability density of a photon being found (detected) along the horizontal x- axis.

Now, checking the graph, we will find that:

At x = 0.5, the probability of finding a photon is 1.

To get the probability density at 1 mm wide at the given x value, we will simply multiply the probability with the area under curve as follows:

\(P(x=0.5)\) × area under curve

= \(1\) × \(1\) × \(10^{-3} m^{2}\)

Now, we will get the expected number of photons as follows:

N = number of photons × area under curve

\(N=1\) × \(10^{6}\) × \(1\) × \(10^{-3}\)

\(N=1\) × \(10^{3} m^{2}\)

Hence, the expected number of photons are \(N=1\) × \(10^{3} m^{2}\).

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Three out of six questions that you can ask about the statistical validity of a bivariate correlation are: All the statistical validity questions do not apply in the same way when bivariate correlations are represented as bar graphs because statistical validity questions address issues of internal validity (causality) rather than issues of external validity (generalizability).

Statistical validity questions are concerned with establishing whether the relationship between the two variables is likely to be a true relationship or just a chance occurrence. Statistical validity can be assessed by determining whether the correlation coefficient is statistically significant (i.e., whether the relationship observed is likely to be a true relationship or just a chance occurrence) and the strength of the correlation.

Statistical significance testing requires a large sample size, and as a result, the correlation coefficient may be statistically significant even if the effect size is small. Therefore, it is important to consider both statistical significance and effect size when evaluating the statistical validity of a bivariate correlation.

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