Notice that we had an overall accuracy greater than 96% in the training data, but the overall accuracy was lower in the test data. This can happen often if we overtrain. In fact, it could be the case that a single feature is not the best choice. For example, a combination of features might be optimal. Using a single feature and optimizing the cutoff as we did on our training data can lead to overfitting. Given that we know the test data, we can treat it like we did our training data to see if the same feature with a different cutoff will optimize our predictions. Which feature best optimizes our overall accuracy

Answer: its A and D

Step-by-step explanation:

Ape x

The trigonometric identities are (csc x = 1/sinx ) and ( tan x = sin x/cos x ). Hence, option A and option D are correct.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The trigonometric identities are ( csc x = 1/sinx ) and  ( tan x = sin x/cos x ). The other two options are incorrect. The correct values for the other two options are tan x = 1/cot x and sec x = 1/cos x.

Hence, option A and option D are correct.

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Answer:

  TP = 13

Step-by-step explanation:

The height of the trapezoid can be found from the area formula:

  A = (1/2)(b1 +b2)h

  h = 2A/(b1 +b2) = 2(100)/(32 +8)

  h = 5

The horizontal length of each triangular end of the trapezoid is ...

  (32 -8)/2 = 24/2 = 12

so the hypotenuse of the triangular end of the trapezoid is ...

  TP = √(12^2 +5^2) = √169

  TP = 13

The sides of the trapezoid have length 13 units.

Answer:

The amount remaining after 24 hours is 17.5 milligrams.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at a time

The equation is

Rate=k*amount remaining at(time)

Where k = constant of proportionality.

So we don't know the value of k, let's find it.

7= k(70)(6)

K= 1/60

Amount remaining after 24 hours

7= 1/60 * x* (24)

(60*7)/24= x

17.5 = x

The amount remaining after 24 hours is 17.5 milligrams.

Answer:

{ 11 , 19 , 41 , 61 , 89 } is only the two digits number having both their non-prime.

Step-by-step explanation:

Answer:

The expression [tex]9.8x+11.3y+9.9z[/tex] represents the perimeter, in centimeters of the obtuse triangle.

Step-by-step explanation:

An obtuse triangle is a triangle where one of the internal angles is obtuse (greater than 90 degrees).

The perimeter of a triangle is the total distance around the outside of a triangle, which can be found by adding together the length of each side. Or as a formula:

                                                    [tex]P=a+b+c[/tex]

where:

a, b and c are the lengths of each side of the triangle.

We know that the triangle has side lengths of [tex]a = 5.5x + 6.2y[/tex], [tex]b= 4.3x + 8.3z[/tex] and [tex]c=1.6z + 5.1y[/tex] centimeters. Therefore, the perimeter is

[tex]P=a+b+c\\P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z + 5.1y)\\\\\mathrm{Group\:like\:terms}\\P=5.5x+4.3x+6.2y+5.1y+8.3z+1.6z\\\\\mathrm{Add\:similar\:elements:}\\P=9.8x+11.3y+9.9z[/tex]

Answer:

  yes

Step-by-step explanation:

One such function is ...

  f(x) = 0

No matter what the value of x is, the value of y is 0. The graph of it is a horizontal line.

Answer:

  B.  $257.33

Step-by-step explanation:

Interest will be charged on the New Balance after the Month 7 payment, $257.33.

Answer:

  see below

Step-by-step explanation:

Multiply each of the coordinates by the dilation factor:

  A' = (1/2)A = 1/2(6, 4) = (3, 2)

Point A gets transformed to point A'(3, 2), matching choice B.

Answer:

75

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

Answer:

(a) t = 7 sec approximately; (b) t = 6 sec

Step-by-step explanation:

(a)  Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:

                     16(t-3)^2 = 288  

       After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.

        Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds

(b) Solve h(t)= -16(t-3)^2 + 288 = 150:

                        -16(t-3)^2 = - 162

      or                (t - 3)^2 = 10.125, or

                            t - 3 =  ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)

Answer:

t = -1 or 5/2

Step-by-step explanation:

To find t; we equate H(t) = 0

-16t^2+24t+40.0= 0

dividing through by 8 we have ;

-16t^2 / 8+ 24t/8+40.0/8=0

-2t^2 + 3t + 5=0

-2t^2 + 5t -2t + 5=0

By factorisation;

t(-2t + 5) +1 (-2t + 5)=0

This means;

(t + 1)(-2t +5)= 0

t + 1 = 0 or -2t + 5 = 0;

t= -1 ; -2t = -5

2t = 5

t = 5/2;

Hence t = -1 or 5/2

Answer:

Triangular Pyramid

Step-by-step explanation:

A triangular pyramid has 4 triangular sides and a rectangular base

mine was Square, Pyramid

that is what my answer was.

Hope you have a Blessed Day

God is with you.

Answer:

Hypotenuse = 6

Step-by-step explanation:

Find attached diagram used in solving the question.

The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent

Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = (3√2)² + (3√2)²

Hypotenuse ² = 9(2)+9(2) = 18+18

Hypotenuse ² = 36

Hypotenuse = √36

Hypotenuse = 6

Answer:

[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]

The volume of the pyramid is 5 cubic inches.

Step-by-step explanation:

Assuming that the triangle base dimensions are 1 inche and 5 inches, and the height of the pyramid is 6 inches, the volume would be

[tex]V=\frac{1}{3}Bh[/tex]

Where B is the area of the base (triangle) and h is the height.

[tex]B=\frac{1}{2}bh =\frac{1}{2}(1)(5)=2.5 \ in^{2}[/tex]

Then,

[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]

Answer:

sum of the series = 7182  

Step-by-step explanation:

This is an arithmetic series. The first term is known as 586 and the last term is known as 212. We are ask to find the sum of the series. The common difference of this sequence is -22 . The difference between the next term  and the previous term is -22. Let us find the number of terms.

common difference = 564 - 586 = -22

number of terms = n

nth term = a + (n - 1)d

212 = 586 + (n - 1)-22

212 = 586 - 22n + 22

212 - 586 - 22 = -22n

-396 = -22n

divide both sides by -22

n = -396/-22

n = 18

Using the formula for sum

sum of nth term = n/2(a + l)

where

l = last term

a = first term

n = number of term

sum of nth term = n/2(a + l)

sum of nth term = 18/2(586 + 212)

sum of nth term = 9(798 )

sum of the series = 7182  

Answer:

24 units squared or D

Step-by-step explanation:

The Surface Area of a cube is 6(x²) x is the side length.

x=2

6(4)=24

The value of surface area of cube is,

⇒ SA = 24 units²

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Side of cube = 2 units

Now, We know that;

the surface area of the cube with side 'a' is,

⇒ SA = 6a²

Hence, We get;

the surface area of the cube is,

⇒ SA = 6 × 2²

⇒ SA = 24 units²

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Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

y= 3x+16

Answer:

John is traveling 5 mph

Trey is traveling 12 mph

Step-by-step explanation:

we will concept of speed distance and time where

distance = speed * time

Let the speed of john be x miles per hour

if, Trey travels 7 mph faster than John

then speed of trey = (x+7) miles per hour

Time of travel for both of them  = 5 hours

distance traveled by john in 5 hours =  x* 5 = 5x miles

distance traveled by john in 5 hours =  (x+7) * 5 = (5x + 35)miles

total distance covered by them = 5x miles + (5x + 35)miles = (10x+35) miles

it is given that after 5 hours they were 85 miles apart, thus the distance above calculated should be equal to 85 miles

10x+35 = 85

=>10x = 85 -35

=> 10x = 50

=> x = 50/10

=> x = 5

Thus, speed of john is 5 miles per hour

speed of Trey is: x+7= 5 + 7 = 12  miles per hour

Answer:

Hi there!

The distance L between two points (x1, y1) and (x2, y2) in two-dimensional plane could be calculated by:

L = sqrt((y2 - y1)^2 + (x2 - x1)^2)

The distance between two points (-5, 4) and (3, -2) can therefore be calculated by:

L = sqrt( (-2 - 4)^2 + (3 - -5)^2) = sqrt( 6^2 + 8^2) = sqrt(36 + 64) = sqrt(100 ) = 10

=> Option C is correct.

Hope this helps!

:)

Answer:

d) Z= -1.49

Step-by-step explanation:

sample #1   ----->              

first sample size,[tex]n_1= 85[/tex]

number of successes, sample 1 =   [tex]x_1= 17[/tex]

proportion success of sample 1 ,

[tex]\bar p_1= \frac{x_1}{n_1} = 0.2000000[/tex]                  

sample #2   ----->              

second sample size,

[tex]n_2 = 80[/tex]

number of successes, sample 2 = [tex]x_2 = 24[/tex]

proportion success of sample 1 ,

[tex]\bar p_2= \frac{x_2}{n_2} = 0.300000[/tex]            

difference in sample proportions,

[tex]\bar p_1 - \bar p_2 = 0.2000 - 0.3000 \\\\= -0.1000[/tex]

pooled proportion ,

[tex]p = \frac{ (x_1+x_2)}{(n_1+n_2)}\\\\= 0.2484848[/tex]

std error ,

   [tex]SE=\sqrt{p*(1-p)*(\frac{1}{n_1}+\frac{1}{n_2} )} \\\\=0.06731[/tex]

Z-statistic = [tex](\bar p_1 - \bar p_2)/SE = ( -0.100 / 0.0673 ) = -1.49[/tex]

Answer:

2√10

Step-by-step explanation:

The length of this line segment lies along the hypotenuse of a right triangle.  As we go from (3, -2) to (5, 4), the horizontal change is 2, and the vertical change 6.  Apply the Pythagorean Theorem to find the length of the hypotenuse, which is also the line segment in question:

length = √[ 2^2 + 6^2 ] = √[4 + 36] = √40 = √4·√10 = 2√10

Answer:

V = 615.44 mm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The diameter is 14 so the radius is 14/2 = 7

V = 3.14 ( 7)^2 4

V = 615.44 mm^3

Answer:

Answer:

V = 615.44 mm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The diameter is 14 so the radius is 14/2 = 7

V = 3.14 ( 7)^2 4

V = 615.44 mm^3

Step-by-step explanation:

Here is the right and correct question:

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,

[tex]y_2 = y_1 (x) \int\limits \dfrac{e ^{-\int\limits P(x) dx} }{y^2_1 (x)} dx \ \ \ \ \ (5)[/tex]

as instructed, to find a second solution [tex]y_2(x)[/tex]

[tex](1-2x-x^2)y''+2(1+x)y' -2y =0; \ \ \ y_1=x+1[/tex]

Answer:

[tex]y_2 = -2-x^2-x[/tex]

Step-by-step explanation:

Let take a look at the differential equation:

[tex](1-2x-x^2)y''+2(1+x)y' -2y =0[/tex]

So; [tex]y''+ \dfrac{2(1+x)}{(1-2x-x^2)}y' - \dfrac{2}{(1-2x-x^2)}y =0[/tex]

where;

[tex]P(x) = \dfrac{2(1+x)}{(1-2x-x^2)}[/tex]     ;

Also:

[tex]Q(x) = \dfrac{-2}{(1-2x-x^2)}[/tex]

The task is to find the value of [tex]y_2(x)[/tex] by using the reduction formula [tex]y_2 = y_1 (x) \int\limits \dfrac{e^{-\int\limits P(x) dx }}{y_1^2(x)}dx[/tex]  such that [tex]y_1(x) =x+1[/tex]

simplifying [tex]y_2 = y_1 (x) \int\limits \dfrac{e^{-\int\limits P(x) dx }}{y_1^2(x)}dx[/tex] ;we have:

[tex]y_2 =(x+1) \int\limits \dfrac{e ^{-\int\limits \frac{2(1+x)}{(1-2x-x^2)}}}{(x+1)^2} \ \ dx[/tex]

[tex]y_2 =(x+1) \int\limits \dfrac{e ^{\int\limits \frac{-2(1+x)}{(1-2x-x^2)}}}{(x+1)^2} \ \ dx[/tex]

[tex]y_2 =(x+1) \int\limits \dfrac{e^{In(1-2x-x^2)}}{(x+1)^2}\ \ dx[/tex]

[tex]y_2 =(x+1) \int\limits \dfrac{(1-2x-x^2)}{(x+1)^2} \ \ dx[/tex]

[tex]y_2 =(x+1) \int\limits \dfrac{1}{(x+1)^2}-\dfrac{2x}{(x+1)^2}- \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]

Let assume that [tex]I_1[/tex] = [tex]\int\limits \dfrac{-2x}{(x+1)^2} \ \ dx[/tex]

[tex]= \int\limits \dfrac{-(2x+2-2) }{(x+1)^2} \ \ dx[/tex]

[tex]= \int\limits \dfrac{-(2x+2) }{(x+1)^2} + \dfrac{2}{(x+1)^2} \ \ dx[/tex]

[tex]=- In(x+1)^2 - \dfrac{2}{(x+1)}[/tex]

Also : Let [tex]I_2 = \int\limits \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]

[tex]= \int\limits \dfrac{(x+1-1)^2}{(x+1)^2} \ \ dx[/tex]

[tex]= \int\limits \dfrac{(x+1)^2+1-2(x+1)}{(x+1)^2} \ \ dx[/tex]

[tex]= \int\limits \ 1 + \dfrac{1}{(x+1)^2}- \dfrac{2}{(x+1)} \ \ dx[/tex]

[tex]= x - \dfrac{1}{(x+1)}- 2 \ In (x+1)[/tex]

Replacing the value of [tex]I_1[/tex] and [tex]I_2[/tex] in the  equation

[tex]y_2 =(x+1) \int\limits \dfrac{1}{(x+1)^2}-\dfrac{2x}{(x+1)^2}- \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]

[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}+ (-In(x+1)^2-\dfrac{2}{(x+1)})-(x-\dfrac{1}{(x+1)}-2 In(x+1))][/tex]

[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}- In(x+1)^2-\dfrac{2}{(x+1)}-x+\dfrac{1}{(x+1)}+2 In(x+1))][/tex]

[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}- 2In(x+1) -\dfrac{2}{(x+1)}-x + \dfrac{1}{(x+1)} +2 In(x+1)][/tex]

[tex]y_2 = -2-x(x+1)[/tex]

Therefore;

[tex]y_2 = -2-x^2-x[/tex]

Answer:

Gabriel has the highest proportion of wins, so he should start.

Step-by-step explanation:

He should start the quarterbacks with the highest proportion of wins.

The proportion of wins is the number of games won divided by the number of games played(wins + losses).

We have that:

Germaine has 8 wins in 8+5 = 13 games. So his proportion of wins is 8/13 = 0.6154.

Gabriel has 7 wins in 7+4 = 11 games. 7/11 = 0.6364

Gabriel has the highest proportion of wins, so he should start.

Answer:

D.strong

Step-by-step explanation:

Answer:

strong

Step-by-step explanation:

definitely not parabolic

pretty positive (not negative)

pretty strong (not weak)

I guess strong

(don't be angry if it is wrong, I'm not a regression and best fit expert)

Answer:

x = 40

Step-by-step explanation:

Given 2 secants to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

Answer:

A

Step-by-step explanation:

First, find the y-intercept by seeing where the line goes through the y-axis

This is at (0, -2) so the y-intercept is -2.

Then, use rise over run to find the slope.

The slope is -3

Answer:

A. Slope -3, y- intercept -2

Step-by-step explanation:

Well the line passes through the point (0,-2) and from there if you draw a line 1 to the left (run) and then up 3(rise) you connect with the line, so the slope is -3(rise over run)

Hope this helps,

plx give brainliest