evaluate f(4): f(x)=2.2x+1.9

Answer:

P = 2/15

Explanation:

There are 15 marbles in total because

5 + 2 + 8 = 15

From them, 2 are white, so the probability to selct a white marble is

P = 2/15

Answer:

12-g

Step-by-step explanation:

Answer:

12-g

Step-by-step explanation:

Answer:

The probability that a selected randomly rail bridge will exhibit structural distress given that it is old

= (200/520) * 0.5 * 0.7 * 100

= 0.1346154 * 100

= 13.46154 %

Since the basket contains four apples and five peaches, it contains a total of nine fruits.

The first fruit we picked was an apple. The probability of this happening is the number of apples divided by the total number of fruits in the basket. In other words, the probability is 4/9.

The second and third time we picked a peach. Again, the probability of this happening is the number of peaches divided by the total number of fruits in the basket, that is, 5/9.

Since we are putting the fruit back in the basket and mixing them each time we pick one, we can consider the three events: picking an apple, picking a peach and picking another peach, to be independent events, because the result of the previous picking does not influence the result of the next picking.

As a result, the probability of this particular event happening is the multiplication of the probabilities we obtained earlier. In other words:

So, the correct answer is option C.

The minimized value is 50 and the maximized value is 130

The objective function is:

P = 10x + 5y

Subject to

2x+3y ≤30

2x+y ≤ 26

-2x+3y ≤ 30

x, y >0

Next, we plot the graph of the constraints (see attachment)

From the graph, the vertices of the feasible regions are:

(0, 10),(12, 2) and (6,14)

Substitute these values in P = 10x + 5y

P = 10(0) + 5(10) = 50

P = 10(12) + 5(2) = 130

P = 10(6) + 5(14) = 130

Hence, the minimized value is 50 and the maximized value is 130

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Answer: \(66.42^{\circ}\)

Step-by-step explanation:

Given

Length of the ladder is \(L=15\ ft\)

Bottom of the ladder is \(6\ ft\) away from the side of the house.

Suppose, ladder is leaning against the wall with angle of elevation \(\theta\)

from the figure, we can write

\(\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}\)

Thus, the angle of elevation is \(66.42^{\circ}\)

Answer:

in the number 84,672 ,the place value of figure 8 is "1000"

Answer

approximately 0.0067

Step-by-step explanation:

If you multiply 0.0067 with 16,500 you get about 110.55 and the more you keep going with the 6, the closer it gets to 110$.

The ratio of dogs to cats at the

pet store is 2:5. If there are 6 more

cats than dogs, how many dogs are

at the pet store?

Dogs : 2

Cats : 5

-1

5 - 2 = 3,

-1, 0, 1, 2, 3, 4, 5

1 - 5 will give us a 6

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Answer:

-1xy

Step-by-step explanation:

The standard deviation of the residuals is (actual values of y - predicted values of y) is 0

The correlation coefficient is the degree of association between two quantities in terms of linear relation.

The range of correlation coefficient is -1 to 1

If the correlation is -1, then that means  as the one quantity increases, the other quantity decreases (linearly)

If the correlation is 0, then there is no linear relationship between two variables.

If the correlation is 1, then that means  as the one quantity increases, the other quantity increases(linearly) and vice versa for decrement.

Thus, if the correlation coefficient of two variables is 1 or -1, then that means they are linearly related.

For this case, we're given that:

That shows that:

\(y = mx + c\) (a linear relation between x and y).

Now, since there was a line fit, that fit would exactly match with the real line y = mx +c

Thus, the actual values and predicted values both will overlap, due to which, there would be no difference between them.

That means:

Residuals = actual values of y - predicted values of y = 0

All values of residuals = 0, thus, mean of residuals is 0 too.

Since all the values of the residuals is 0 = their mean, there is no deviation of residuals from their mean.

Thus, the standard deviation of the residuals in this case is 0.

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Answer:

1.6709 is the answer for the question

Given the quadratic function below:

\( \large{f(x)= - {x}^{2} - 4x - 19}\)

To find f(-9), simply substitute x = -9 in the function.

\( \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}\)

Answer

Let me know if you have any doubts regarding the function.

The appropriate values of n and r are illustrations of permutation.

The values of n and r are 75 and 10, respectively

From the question, we have the following parameters:

The above means that:

n = 75

r = 10

This can be interpreted as:

Arrange 10 songs from a list of 75 songs

Hence, the appropriate values of n and r are 75 and 10, respectively

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Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Given:

The triangle, LMN has side lengths of 18.5 inches, 10 inches, and 15.5 inches

Using the converse of the Pythagorean theorem

So,

So, the triangle LMN is not a right-angle triangle

The order of proof is as follows:

Answer:

LM = 6

Step-by-step explanation:

use the ratio of corresponding sides

1/3 = 2/LM

LM = 6

Answer:

$156.25

Step-by-step explanation:

25% of 125 is 31.25. So 125+31.25 is 156.25.

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

Number = 14

Step-by-step explanation:

It is given that,

Twice the sum of a number and seven is three times the number

Let the number be x. Twice of the number is 2x. Three times of the number is 3x.

So,

2(x+7)=3x is the equation that models the given scenario

Opening brackets on LHS,

2x+14=3x

Subtracting 2x on both the sides

2x-2x+14=3x-2x

14=x

So, the number is 14.

The number is 14.

The calculation is as follows:

Based on the above information, the calculation is as follows:

2(x+7)=3x  

2x+14=3x

x = 14

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Answer:

5x²-xy-4y²

Step-by-step explanation:

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Answer:

ŷ = -0.08522X + 157.7779

The slope = - 0.1

Intercept = 157.8

Step-by-step explanation:

Given the data :

Duration __ Height

240 140

237 154

122 140

267 140

113 160

258 140

232 150

105 150

186 160

248 155

243 125

241 136

214 140

114 155

272 130

227 125

237 125

238 139

203 125

270 140

218 140

226 135

250 141

245 140

120 139

267 110

103 140

270 135

241 140

239 135

General regression equation :

y = mx + c

Where

y = predicted variable

x = predictor / explanatory variable

m = slope or gradient

c = Intercept

The regression equation obtained ;

ŷ = -0.08522X + 157.7779

To one decimal place :

ŷ = -0.1X + 157.8

The slope = - 0.1

Intercept = 157.8

In a line plot the maximum value is the rightmost mark in the line plot; in this case the maximum capacity is 2 1/2. On the other hand the minimum value is the leftmost mark in the line plot, here the minimum is 1 1/2. Let's calculate the difference between them:

Therefore, the difference between the maxiimum and minimum capacity is 1.

let's say A(-6 , 4) and B(-2 , -4), so let's have point C partitions it from A to B in a 3:5 ratio, so

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-6,4)\qquad B(-2,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{5}\implies \cfrac{A}{B} = \cfrac{3}{5}\implies 5A=3B\implies 5(-6,4)=3(-2,-4)\)

\((\stackrel{x}{-30}~~,~~ \stackrel{y}{20})=(\stackrel{x}{-6}~~,~~ \stackrel{y}{-12}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-30 -6}}{3+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{20 -12}}{3+5} \right)} \\\\\\ C=\left( \cfrac{ -36 }{ 8 }~~,~~\cfrac{ 8}{ 8 } \right)\implies C=\left(-\cfrac{9}{2}~~,~~1 \right)\implies C=\left(-4\frac{1}{2}~~,~~1 \right)\)

Answer: No. Zeke found the LCM to be the product of two and eight but because eight is a multiple of two the LCM is eight so the first day he will have both clubs is the 8th day of the month

Step-by-step explanation:

all you have to do is fine the least common multiple of 2 and 8 which is eight so obviously zeke is incorrect because they said the least common multiple was 16 and it is not. zeke multiplied 2 and 8 which is not what you’re supposed to do to get the lcm.