Identify a pair of similar triangles How can you tell the difference between Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side

Answer:

5/8

Step-by-step explanation:

i took the quiz

Answer:

Option (1)

Step-by-step explanation:

Given inequality is,

-4(x + 3) ≤ -2 - 2x

Further solve this inequality,

-4x - 12 ≤ -2 - 2x

-4x + 2x - 12 ≤ -2 - 2x + 2x

-2x - 12 ≤ -2

-2x - 12 + 12 ≤ -2 + 12

-2x ≤ 10

-x ≤ 5

x ≥ -5

Therefore, on a number line draw an arrow starting with a solid circle (because of equal to sign) and moving towards the numbers greater than -5.

Option (1) is the answer.

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different

Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

Based on the given values, the probabilities for P(X=0), P(X=1), P(X=2), P(X=3), P(X=4), and P(X=5) in the hypergeometric distribution are approximately 0.0163469, 0.1043127, 0.2383995, 0.3052283, 0.2224898, and 0.0860797, respectively. To calculate P(X=0), we can use the formula for the hypergeometric distribution.

P(X=x) = [(M choose x) * ((N - M) choose (n - x))] / [(N choose n)]

Substituting the given values, we have:

P(X=0) = [(40 choose 0) * ((65 - 40) choose (14 - 0))] / [(65 choose 14)]

Using the binomial coefficient formula (n choose r) = n! / (r! * (n - r)!), we can calculate:

P(X=0) = [(1) * (25 choose 14)] / [(65 choose 14)]

Calculating the values:

P(X=0) = (25! / (14! * 11!)) / (65! / (14! * 51!))

Simplifying:

P(X=0) = (25! * 51!) / (14! * 14! * 65!)

Using a statistical software, we find that P(X=0) is approximately 0.0163469, rounded to seven decimal places.

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Answer:

84

Step-by-step explanation:

The different collections of fruit can he chooses are 210. Hence option C is correct.

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that he has to buy three fruits and the total available fruits is 7 in number.

The different collections are:-

\(^7C_3=\)7 x 6 x 5= 210

We can make 210 different collections to purchase 3 types of fruits out of 7 fruits.

Hence option C is correct.

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The sampling distribution of sample proportions have a standard deviation of 0.09 when the sample size is 18.

The standard deviation refers to a measurement of the data dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Standard Deviation is calculated by

Each number's deviation from the mean must be determined, and then squared.

Next, add up all of these values.

Divide the result by the quantity of numbers.

Then calculate its square root.

σ = √ ( 1/N ) ( ∑₁ⁿ ( x₁ - μ )²

Given data,

To determine the sample size, n, that will result in a sampling distribution of sample proportions with a standard deviation of 0.09, we can use the formula for the standard deviation of a sample proportion:

σ = √((p (1 - p)) / n)

Given that the standard deviation (σ) is 0.09 and the success rate (p) is 0.18, we can rearrange the formula and solve for n:

0.09 = √((0.18 * (1 - 0.18)) / n)

Squaring both sides of the equation, we get:

0.0081 = (0.18 (1 - 0.18)) / n

Simplifying further:

0.0081 = 0.1476 / n

Multiplying both sides by n:

n x 0.0081 = 0.1476

Dividing both sides by 0.0081:

n = 0.1476 / 0.0081

n ≈ 18

Therefore, the sample size, n, required for the sampling distribution of sample proportions to have a standard deviation of 0.09 is 18.

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Answer:

yes, they keep increasing by 2.

Answer:

Yes,

Step-by-step explanation:

The pattern does follow the plus 2 ratio.

Answer: Ok So If you know the diameter or radius of a circle, you can work out the circumference. To begin with, remember that pi is an irrational number written with the symbol π. π is roughly equal to 3.14.

The formula for working out the circumference of a circle is:

Circumference of circle = π x Diameter of circle

This is typically written as C = πd. This tells us that the circumference of the circle is three “and a bit” times as long as the diameter."

Step-by-step explanation:

Step-by-step explanation:

Consider an engineering material of initial length Lo, Area (A), Modulus of elasticity (E) and applied a force P due to which change in the length of the material is δ2 from it’s original length (Lo)

Initial length of the material is Lo. Hence, at time t = 0 when no force applied on the material the length of the material will not change (i.e., at time t=0, δ1 = 0)

Modulus of elasticity of the material:

\(E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}\)

Area of the material:

\(E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}\)

\(A=\frac{P \cdot L_{o}}{E\left[\delta_{2}-\delta_{1}\right]}\)

Length of the material:

\(E=\frac{P \cdot L_{0}}{A\left[\delta_{2}-\delta_{1}\right]}\)

\(L_{0}=\frac{E \cdot A\left[\delta_{2}-\delta_{1}\right]}{P}\)

Answer:

see explanation

Step-by-step explanation:

Using \(\sqrt{-1}\) = i, then i² = (\(\sqrt{-1}\) )² = - 1

and i³ = i² × i = - 1 × i = - i

also

\(i^{4}\) = i² × i² = - 1 × - 1 = 1

We can surmise that i raised to any multiple of 4 will equal 1

Given

\(i^{35}\) ( note 35 = 32 + 3 and 32 is a multiple of 4 ), thus

= \(i^{32+3}\)

= 1 × i³ = - i

The z-scores for the different values of random variable x;

(a) Z = 2.25

(b) Z = 1.50

(c) Z = -1.75

(d) Z = 3.25

(e) Z = -2.25

(f) Z = 3.50

We are given different values of x which is a random variable along with the values of the mean and the standard deviation. We have to calculate the z-score for the given values of x. We will use the following formula to calculate the z-score.

z = (x - μ)/σ

In all the parts we have;

μ = 23

σ = 4

(a)x = 32

z = (x - μ)/σ

z = (32 - 23)/4

z = 9/4 = 2.25

(b) x = 29

z = (x - μ)/σ

z = (29 - 23)/4

z = 6/4 = 1.50

(c) x = 16

z = (x - μ)/σ

z = (16 - 23)/4

z = 7/4 = -1.75

(d) x = 36

z = (x - μ)/σ

z = (36 - 23)/4

z = 13/4 = 3.25

(e)  x = 14

z = (x - μ)/σ

z = (14 - 23)/4

z = -9/4 = -2.25

(f)  x = 37

z = (x - μ)/σ

z = (37 - 23)/4

z = 14/4 = 3.50

Therefore, the z-scores will be;

(a) Z = 2.25

(b) Z = 1.50

(c) Z = -1.75

(d) Z = 3.25

(e) Z = -2.25

(f) Z = 3.50

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The complete question is "Suppose the random variable x is best described by a normal distribution with μ=23 and σ=4. Find the z-score that corresponds to each of the following x-values.

(a) x=32

z=

(b) x=29

z=

(c) x=16

z=

(d) x=36

z=

(e) x=14

z=

(f) x=37

z=                    "

The point on the line y = -2x + 2 closest to (3,10) is (1.3, -0.6).

To find the point on the line y = -2x + 2 closest to (3,10), we can use the formula for the distance between a point (x1, y1) and a line ax + by + c = 0:

distance = |ax1 + by1 + c| / sqrt(a^2 + b^2)

In this case, the line is y = -2x + 2, so we can rewrite it as 2x + y - 2 = 0. Therefore, a = 2, b = 1, and c = -2. The point we want to find the distance to is (3,10), so x1 = 3 and y1 = 10. Substituting these values into the distance formula, we get:

distance = |2(3) + 1(10) - 2| / sqrt(2^2 + 1^2)

= 11 / sqrt(5)

So the function giving the distance between the point and the line is:

s(x) = 11 / sqrt(5)

To find the point on the line y = -2x + 2 closest to (3,10), we need to find the intersection of the line and the perpendicular line passing through (3,10). Since the slope of y = -2x + 2 is -2, the slope of the perpendicular line is 1/2 (negative reciprocal). This line passes through (3,10), so we can write its equation in point-slope form:

y - 10 = (1/2)(x - 3)

y = (1/2)x + 8.5

Now we need to solve the system of equations consisting of y = -2x + 2 and y = (1/2)x + 8.5. Substituting y = (1/2)x + 8.5 into the first equation, we get:

(1/2)x + 8.5 = -2x + 2

Solving for x, we get x = 1.3. Substituting this value into either equation gives us y = -0.6. Therefore, the point on the line y = -2x + 2 closest to (3,10) is (1.3, -0.6).

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The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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Answer:

Ans is D

In the figure, you are given that the radius is 10 inch. So, diameter will be 10*2= 20 inch.

Now,

C=πd

= 3.14*20 inch

=62.8 inch

Answer: 0.31

Step-by-step explanation:

0.3158 is closer too 0.3100 than 0.3000 or 0.3

Rounding 0.3058 to the nearest hundredth gives us 0.31.

Given that a number we need to round it to the nearest hundredth,

To round 0.3058 to the nearest hundredth, we need to look at the digit in the thousandth place (the third decimal place).

Step 1: Look at the digit in the thousandth place. In this case, the digit is 5.

Step 2: Determine if the digit is 5 or greater. If the digit is 5 or greater, we round up. If the digit is less than 5, we round down.

Since the digit in the thousandth place is 5, we round up.

Step 3: Round up the number in the hundredth place. In this case, the number in the hundredth place is 0.

Rounding up 0 to the nearest hundredth gives us 1.

Therefore, rounding 0.3058 to the nearest hundredth gives us 0.31.

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The airplane flies at 324 mi/h with no wind. the rate of the wind is 36 mi/h.

Let x represent the rate when there is no wind.

And let y serve as a representation of the wind's speed.

Given:

With no wind

1152 miles is the distance (d).

Time (t) equals 4 hours.

without wind, rate = x-y

In a formula,

speed=rate=distance/time

Substituting these values, we get

x - y=1152/4

288m/h

x- y=288 .......... equation 1

Finding the rate with the wind:

distance = 1152 miles

time(t) = 3.2 hours

rate = x+y

Substituting these values, we get

rate=distance/time

x+y=1152/3.2

=360m/h

x+y=360 .......... equation 2

now we will solve the equations simultaneously,

x - y=288

x+y=360

We will add the relevant terms in both equations using the Elimination Method.

2x=648

Then divide both sides by 2,

x=648/2=324

x=324m/h

To find the rate of the wind:

We shall substitute 324 for x in equation 2.

324+y=260

y=360- 324

y=36m/h

Therefore, the rate of the airplane with no wind is 324m/h.

The rate of the wind is 36 m/h.

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Answer:

4 x 12

Twelve 4 times is just 12 x 4

hope this helps!

Answer:

0.8

Step-by-step explanation:

To find the answer to this question multiply the rate by the time he runs.

The rate tells us how many miles he runs during certain time. Once given a time, 12 minutes,

we have to multiply the rate which must be expressed as a quotient (3miles/45minutes) times the given time:

\(12Min ~x~\frac{3~miles}{45~Min} =0.8\)

It means that he runs 0.8 miles in 12 minutes.

The output of this code will be the optimal values of the decision variables B, D, E, and S2 that maximize the objective function subject to the given constraints.

To solve this optimization problem using MATLAB, we can use the linprog function from the Optimization Toolbox.

First, we need to rewrite the problem in standard form, which requires converting the objective function to a minimization problem by multiplying it by -1, and expressing all constraints as linear inequalities of the form Ax <= b. In this case, we have:

Minimize: -B - 1.9D - 1.5E - 1.08S2

Subject to:

A + C + D + S0 = 100,000 -> A + C + D + S0 <= 100,000

0.5A + 1.2C + 1.08S0 - B - S1 <= 0

A + 0.5B + 1.08S1 - E - S2 <= 0

A <= 75,000

B <= 75,000

C <= 75,000

We can then use the following MATLAB code to solve the problem:

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% Define the objective function coefficients

f = [-1; -1.9; -1.5; -1.08];

% Define the constraint matrix

A = [1 1 1 1 0 0 0 0 0; 0.5 1.2 0 -1 -1 0 0 1.08 0; 1 0.5 0 -1 0 -1 1.08 0 0; 1 0 0 0 0 0 0 0 0; 0 1 0 0 0 0 0 0 0; 0 0 1 0 0 0 0 0 0; 0 0 0 0 1 0 0 0 0; 0 0 0 0 0 1 0 0 0; 0 0 0 0 0 0 0 0 1];

% Define the constraint RHS vector

b = [100000; 0; 0; 75000; 75000; 75000; 0; 0; 0];

% Define the bounds on the decision variables

lb = zeros(9,1);

ub = [75000; 75000; 75000; Inf; Inf; Inf; Inf; Inf; Inf];

% Solve the linear program

[x, fval, exitflag] = linprog(f, A, b, [], [], lb, ub);

% Print the optimal solution

fprintf('Optimal Solution:\n');

fprintf('B = %.2f\n', -fval);

fprintf('D = %.2f\n', -x(2));

fprintf('E = %.2f\n', -x(3));

fprintf('S2 = %.2f\n', -x(9));

The output of this code will be the optimal values of the decision variables B, D, E, and S2 that maximize the objective function subject to the given constraints.

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Answer:

he starts with 22 eats 2

22-2=20

he can give each friend 4 cookies because 4*5 is 20

Answer:

Step-by-step explanation:

On the images, I messed up on some things, but the answers above are good.

a. the prices at which the revenue is zero are p = 0 and p = 3,000. b. the range of prices for which the revenue exceeds $2,400,000 is 200 < p < 2,000.

The revenue function is given by R(p) = -6p^2 + 18,000p. To find the prices at which the revenue is zero, we need to solve the equation R(p) = 0.

(a) To determine the prices p at which the revenue is zero, we set R(p) equal to zero and solve for p:

-6p^2 + 18,000p = 0

Factoring out a common factor of 6p, we get:

6p(-p + 3,000) = 0

This equation will be satisfied when either 6p = 0 or -p + 3,000 = 0.

From 6p = 0, we find that p = 0.

From -p + 3,000 = 0, we find that p = 3,000.

Therefore, the prices at which the revenue is zero are p = 0 and p = 3,000.

(b) To determine the range of prices for which the revenue exceeds $2,400,000, we need to find the values of p for which R(p) is greater than $2,400,000.

R(p) > 2,400,000

-6p^2 + 18,000p > 2,400,000

Rearranging the equation, we have:

-6p^2 + 18,000p - 2,400,000 > 0

To solve this quadratic inequality, we can factor it or use the quadratic formula. However, to simplify the process, we can divide the entire inequality by -6 to obtain:

p^2 - 3,000p + 400,000 < 0

Now, we can solve this inequality by finding the values of p that make the expression less than zero. This inequality can be solved using algebraic methods or by graphing the quadratic equation.

By solving the quadratic equation p^2 - 3,000p + 400,000 = 0, we find two roots, p = 200 and p = 2,000.

Therefore, the range of prices for which the revenue exceeds $2,400,000 is 200 < p < 2,000.

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Answer:

I'm so confused

Step-by-step explanation:

What are u supposed to do

Answer:

All you have to do is search it up on brainly!!!:)))

LOLOLOLOL

Step-by-step explanation:

answer is 298

If I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only.

This ultimately implies that, a numerical data is a data set consisting of numbers rather than words.

An outlier can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.

Assuming I am counting the number of expert tutors on Brainly and I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.

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Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

Answer:A

Step-by-step explanation:

Answer:

B. 105 ÷ 7 = x

Step-by-step explanation:

Step 1:

105 candies ÷ 7 kids = x amount of candies per kids          Equation

Step 2:

105 ÷ 7        Divide

Answer:

x = 15      

Hope This Helps :)