Sam can run 20 miles in 2 hours. What is his average speed in miles per hour?​

Toni had 17 points, Effie had 25 points and Linda had 18 points.

The question is asking to find the number of points each girl had in a girl's basketball game. To find out how many points Effie had, you must multiply Toni's points by 3, subtract 8, and then multiply the difference by 2. To find out how many points Linda had, you must add 9 to Toni's points and divide the sum by 3. The given information is that Effie scored 9 more than Toni and Linda combined.

Formula and Calculation:

Toni's Points = x

Effie's Points = 3x-8

Linda's Points = (x+9)/3

Effie scored 9 more than Toni and Linda combined, so:

3x-8 = x+9/3 + 9

2x-8 = x+9

x = 17

Therefore, Toni had 17 points, Effie had 25 points and Linda had 18 points.

Learn more about points here:

https://brainly.com/question/7819843

#SPJ4

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

To know more about bootstrap visit :

https://brainly.com/question/13014288

#SPJ11

Step-by-step explanation:

As we know,

log(a/b)= log(a)-log(b)

Then, log1/8= log1- log8

So, logo+log1/8 =log8+log1-log8

Here, both the log8 will be cancelled out due to of opposite sign & same value.

Hence, log8+log1/8=log1= 0 Ans. [Since, log1=0].

Answer:

3.50378787879

Step-by-step explanation:

Answer:

Exact Form:

925

___

264

Decimal Form:

3.503

^^78

Mixed Number Form:

     133

3   ___

    264

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

8. une ceinture   9. une jupe i think    10. un pull      11. casquette

Step-by-step explanation:

For 9:

une jupe is skirt

une echarpe is scarf

un pull is jumper

i cant really tell what the picture is

Answer:

8. Une Ceinture

9. Une Jupe

10.  Un pull

11.  Un casquette

Step-by-step explanation:

Answer:

Infinite

Step-by-step explanation:

ANY line segment can have INFINITE bisectors crossing it

12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

Learn more about MATLAB code

brainly.com/question/12950689

#SPJ11

Solving the inequality  \(\frac{2x + 4}{2}\) < 6, we get x < 4.

Linear Inequalities are mathematical expressions which consist of a left hand side and a right hand side connected with inequality signs like <, >, ≤, ≥ and ≠.

They are almost like linear equations when we see it, but the '=' sign in linear equations are substituted with inequality signs like those mentioned earlier.

The expression given here is,

\(\frac{2x + 4}{2}\) < 6

Multiplying both sides with 2, we get,

2x + 4 < 6 × 2

2x + 4 < 12

Subtracting both sides with 4, we get,

2x + 4 - 4 < 12 - 4

2x < 8

Dividing both sides by 2,

2x / 2 < 8 / 2

x < 4

Hence the inequality \(\frac{2x + 4}{2}\) < 6 results in x < 4.

To learn more about Linear Inequalities, click on the link given below :

https://brainly.com/question/11897796

#SPJ1

Lily will spend 12 hours for watching this season's 24 episodes of Captain's Cove.

For division, we need two values, one get divided by other. let a is divided by b i.e., \(\frac{a}{b}\) . It means a is divided in b parts.

In our case, given that

30 episodes watching time is 15 hours for Lily.

So we can divide 15 hours in 30 parts to get one episode watching time.

30 episodes watching time ⇔ 15 hours

1 episode watching time ⇔   \(\frac{15}{30}\)   hours

In the same way, 24 episodes watching time calculated as:

24 episodes watching time  ⇔  24( \(\frac{15}{30}\) )  hours = 12 hours

Hence for 24 episodes of Captain's Cove, Lily will spend 12 hours to watching this season.

For more practice of ratio and proportion problem, refer to the link

https://brainly.com/question/26974513

#SPJ2

Answer:

6 but if it this _ 1 okrrrrrrrrr

Answer:

the number of elements in set 'A' is simply 5

The solution of the initial-value problem of x'=[1/2 0; 1 -1/2] x is x(t) = [4/3 * e^(t/2); 5/3 * e^t + 8/3 * e^(t/2)].

To solve the given initial value problem x'=[1/2 0; 1 -1/2] x with x(0)=[4;9], we need to find the solution of the system of differential equations.

The characteristic equation of the matrix [1/2 0; 1 -1/2] is λ^2 - (3/2)λ + (1/4) = 0, which has two distinct roots, λ_1 = 1/2 and λ_2 = 1.

The general solution of the system is x(t) = c_1 * [1; 2] * e^(λ_1t) + c_2 * [0; 1] * e^(λ_2t), where c_1 and c_2 are constants to be determined using the initial condition x(0) = [4; 9].

Substituting the values of λ_1, λ_2, and x(0) in the above equation, we get c_1 = 4/3 and c_2 = 5/3.

Therefore, the solution of the initial-value problem is x(t) = [4/3 * e^(t/2); 5/3 * e^t + 8/3 * e^(t/2)].

To know more about initial-value problem:

https://brainly.com/question/30547172

#SPJ4

--The given question is incomplete, the complete question is given

" Solve the given initial-value problem x' is matrix of 2x2 form, x' = [1/2  0   1  −1/2] x,  x(0) = [4 9] of 2x1 matrix form. find x(t)"--

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \(\overline{ED}\cong \overline{FD}\)

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\(\\ \overline{EF}\cong \overline{FD}\) (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\(\\ \overline{EF}\cong \overline{FD}\cong \overline{ED}\) (definition of equilateral triangle)

\(\overline{ED}\cong \overline{FD}\)

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\(\overline{CF}\cong \overline{CD}\) (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

Answer:

1,3,5

Step-by-step explanation:

right on edge 2022

In the problem given, it is given that Three percent of Jennie's skin cells were burned when she escaped from a fire. If 3.9 x 10^10 of her skin cells were burned then, how many skin cells were not burned?To solve the problem, let's assume that Jennie had a total of x skin cells, out of which 3% were burned.

It is given that 3% of her skin cells were burned, and 3.9 x 10^10 skin cells were burned. So, we can write this information as:

3% of x = 3.9 x 10^10

The first step is to convert 3% to a decimal.

We can do this by dividing

3 by 100.3 ÷ 100 = 0.03

Now, we can rewrite the equation as:

\(0.03x = 3.9 x 10^10\)

To find the value of x,

we need to divide both sides by 0.03:

\(x = (3.9 x 10^10) ÷ 0.03x = 1.3 x 10^12\)

So, Jennie had a total of 1.3 x 10^12 skin cells.

Now, we can find the number of skin cells that were not burned.

If 3.9 x 10^10 skin cells were burned, then the number of skin cells that were not burned is:

\(x - 3.9 x 10^10= 1.3 x 10^12 - 3.9 x 10^10= 1.26 x 10^12\)

Therefore, the number of skin cells that were not burned is 1.26 x 10^12.

To know more about divide, visit:

https://brainly.com/question/15381501

#SPJ11

Answer:

this is true, I think so...

Answer:

y = -4x - 1

Step-by-step explanation:

x - 4y = 24

-4y = -x + 24

y = \(\frac{1}{4}\)x - 6

m⊥ = -4

y = -4x + b

7 = -4 ( -2 ) + b

7 = 8 + b

b = -1

y = -4x - 1

Answer:

101 up on the left

100 up on right

6 across the bottom

Step-by-step explanation:

their is always six along the bottom

up on the right is whateve number the figure is it increase one everytime

101 up on the left because figure one stats with 2 and from their one is added

The solution is

a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile

b) The number of tiles in figure 100 will be 601 tiles

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the figure 100 be represented as = a₁₀₀

Let the number of tiles in the first figure be a₁

The value of a₁ = 7 tiles

Let the number of tiles in the second figure be a₂

The value of a₂ = 13 tiles

So , the common difference of the arithmetic sequence is d

d = second term - first term

d = 13 - 7

d = 6

Now , the value of figure a₁₀₀ is calculated by the formula

Tn = a + (n - 1) d

Substituting the values in the equation , we get

a₁₀₀ = 7 + ( 100 - 1 ) 6

a₁₀₀ = 7 + ( 99 x 6 )

a₁₀₀ = 7 + 594

The value of a₁₀₀ = 601

Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile

And , the total number of tiles in the figure is 601 tiles

Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and

the number of tiles in figure 100 will be 601 tiles

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ2

Answer:

As an improper fraction: \(15/11\)

As a mixed number: \(1 \frac{4}{11}\)

As a decimal: 1.36

Step-by-step explanation:

\(3/5x - 1/3x = x - 1\)

Find a common denominator between 5 and 3 (15)

\((3 * 3) / 15x - (1 * 5) / 15 = x - 1\)

\(9/15x - 5/15 = x - 1\)

Subtract the fractions

\(4/15x = x - 1\)

Subtract x from both sides of the equation

\(-11/15x = -1\)

Multiply both sides of the equation by 15/-11 to simplify

x = 15/11

Hope this helps :)

Answer:

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

Step-by-step explanation:

(3)/(5)x-(1)/(3)=x-1

Simplify  (3)/(5)x-(1)/(3)x

(4x)/(15)=x-1

Move all terms containing  x  to the left side of the equation.

-(11x)/(15)=-1

Multiply both sides of the equation by    -(15)/(11)

-(15)/(11)(-(11)/(15))= -(15)/(11) . -1

Simplify both sides of the equation.

(15)/(11)

The result can be shown in multiple forms.

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

Answer:

1.) ( -4, -2 ), ( -6, - 3 )

2.) ( 0, 2 ) , ( 0 , 4 )

Step-by-step explanation:

The inequality sign of >=, the greater than or equal to sign, the upper region will be shaded while for less than sign <, the lower region will be shaded.

Please find the attached file for the solution and the answer.

All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.

As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.

Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.

Here is an attached image of the same with angles marked on it.

Alternate Interior Angles: ∠\(3\) = ∠\(5\) and ∠\(4\)=∠\(6\)

Alternate Exterior Angles: ∠\(2\)=∠\(8\) and ∠\(1\)=∠\(7\)

Corresponding Angles: ∠\(1\)=∠\(5\) , ∠\(4\)=∠\(8\) , ∠\(3\)=∠\(7\) and ∠\(2\)=∠\(6\)

Consecutive Interior Angles: ∠\(4\)=∠\(5\) and ∠\(3\)=∠\(6\)

To learn more about Transversal Line click on the link given below:

https://brainly.com/question/24770636

#SPJ1

Answer:

yes

Step-by-step explanation:

a )H2 u> 50, the average product packed per day by the employee is further than 50 cases

b) A type I error is the incorrect rejection of a true null thesis.

c) A type II error is inaptly retaining a false null thesis.

d) A Type I error would be veritably precious for the packing company

a) H1 u = 50, the average product packed per day by an hand is( not further than) 50 cases

H2 u> 50, the average product packed per day by an hand is further than 50 cases

b) A type I error is the incorrect rejection of a true null thesis( also known as a" false positive" finding) Type I error means that we're enforcing the training program indeed though the conditions aren't met.

c) A type II error is inaptly retaining a false null thesis ( also known as a" false negative" finding). Type II error means that we aren't enforcing the training( program indeed though the conditions are met.

d) A Type I error would be veritably precious for the packing company. A Type I error would mean that the director rejected the null thesis when in fact the null thesis is true. In this situation, by rejecting the null thesis the company allowed the training bettered productivity, so they paid for the adviser to train all workers in reality, the training didn't ameliorate productivity so the company wasted plutocrat on training that didn't help

To learn more about null hypothesis, click here:

brainly.com/question/28920252

#SPJ4

The confidence interval of the given proportion is: (0.184, 0.252)

The formula for the confidence interval of proportions is:

CI = p ± z√((p(1 - p)/n)

where:

CI is confidence interval

p is sample proportion

z is z-score at the given confidence level

n is sample size

Thus, from the given parameters, we can say that:

p = x/n

p = 218/1000

p = 0.218

z-score at 99% confidence level is: z =  2.576

Thus:

CI = 0.218 ± 2.576√((0.218(1 - 0.218)/1000)

CI = 0.218 ± 0.034

CI = (0.184, 0.252)

Read more about Confidence Interval at: https://brainly.com/question/15712887

#SPJ4

Answer:

hey can you help me with this? it's my deadline today

Answer:

lines NP and OP are intersecting

Step-by-step explanation:

they touch at point P

To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

Learn more about Arithmetic sequence here -: brainly.com/question/30194025

#SPJ11

Answer:

The value of \(x\) is 15.222. We need to use the following equation: \(9\cdot x = 137^{\circ}\)

Step-by-step explanation:

From Euclidean Geometry, we know that the sum of measures of internal angles in a triangle equals 180º. Then, we can find the value of \(x\) by this formula:

\(43^{\circ}+3\cdot x + 6\cdot x = 180^{\circ}\) (1)

\(9\cdot x = 137^{\circ}\)

\(x = 15.222\)

The value of \(x\) is 15.222.

The type of angle pair that describes ∠5 and ∠2 is B Same-side interior angles.

It should be noted that same-side interior angles simply means when two lines that are parallel are interested by a transversal line.

It should be noted that the same-side interior angles are supplementary. This implies that they will be equal to 180°.

In this case, the type of angle pair that describes ∠5 and ∠2 is Same-side interior angles.

Learn more about angle on:

brainly.com/question/25716982

#SPJ1