By which theorem can you conclude DHF = EHG?

A. ASA
B. HL
C. SAS
D. SSS

Answer:

\(9+4^2\div 2^3\tems*3\)

\(9+2^4\div8*3\)

\(9+2*3\)

\(9+2*3\)

\(9+6\)

\(15\)

Answer:

-4. my answers need to be 20 characters+ soooo

Answer:

70

Step-by-step explanation:

77÷7=11 I know Trust me

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the method of getting possible options.

When asked to find the number of possible options, this is a permutation problem. Therefore, we use the permutation formula.

STEP 2: Solve the first question

There are 85140 possible options.

STEP 3: Solve the second question

There are 2520 possible options.

STEP 4: Solve the third question.

There are 19958400 possible options.

STEP 5: Solve the fourth question

There are 116280 possible options

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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If two polygons are similar, it means that their corresponding angles are congruent (have the same measure) and their corresponding side lengths are in proportion to each other.

Similar polygons are two polygons that have the same shape but differ in size. Similar polygons have congruent congruent angles and proportional proportionate sides.

When two polygons are similar, their respective angles are congruent (have the same measure) and their corresponding side lengths are proportional to one another.

Additionally, the ratio of the length of any corresponding side of the two polygons is equal to the ratio of the length of any other corresponding side.

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Answer:

40 and 16 for 8 servings

25 and 10 for 5 servings

15 and 6 for 3 servings

Step-by-step explanation:

Answer:

40 and 16 for 8 servings

25 and 10 for 5 servings

15 and 6 for 3 servings

Step-by-step explanation:

Hope its right :)

The given relations are:

1) It is a function.

2) not a function.

3)it is a function.

4) not a function.

A function is a relation that maps inputs into outputs, such that each output needs to be mapped into a single input.

1) For example, the first relation each input (left row) is mapped into a single output, thus, it is a function.

2) Here theinput 9 is mapped into two different outputs, then it is not a function.

3) The notation used here is (input, output), so we can see that no input is repeated,so it is a functon.

4) The input 9 is mapped into 3 different outputs, then it is not a function.

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The second derivative is negative, the point (x, y) = (3, 7) corresponds to a local maximum on the curve.

To find the leftmost point on the curve defined by the parametric equations x = t² + 2t and y = t² - 2t + 3, we need to find the value of t that corresponds to this point. We can do this by analyzing the derivative of the curve with respect to t.

The leftmost point on the curve corresponds to the point where the slope of the curve is zero or undefined. This occurs when the derivative of y with respect to x is zero or undefined.

We can express y as a function of x by eliminating t from the given parametric equations. Solving for t in terms of x, we get:

t = -1 ± √(x + 1)

Substituting this value of t in the equation for y, we get:

y = (x + 1) ± 4√(x + 1) + 3

y = ±4√(x + 1) + x + 4

To find the leftmost point on the curve, we need to find the value of x that corresponds to this point. We can do this by finding the minimum value of x for which y is defined.

Differentiating y with respect to x, we get:

dy/dx = 1 + 2/√(x + 1)

Setting dy/dx = 0, we get:

1 + 2/√(x + 1) = 0

2/√(x + 1) = -1

Solving for x, we get:

x = 3

Note that this value of x is within the given range of -2 ≤ t ≤ 3. Therefore, the leftmost point on the curve is the point corresponding to t = 1.

To justify that we have found the requested point, we can analyze the second derivative of y with respect to x. The second derivative will tell us whether the point corresponds to a local minimum, local maximum, or inflection point.

Differentiating dy/dx with respect to x, we get:

d²y/dx² = -2/\((x + 1)^{(3/2)}\)

Substituting x = 3, we get:

d²y/dx² = -2/64

Since the second derivative is negative, the point (x, y) = (3, 7) corresponds to a local maximum on the curve. Therefore, we have found the leftmost point on the curve as requested.

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The question is -

Identify the requested point and justify that you have found the requested point by analyzing an appropriate derivative. x = t² + 2t, y = t² - 2t + 3, - 2 ≤ t ≤ 3 Leftmost point

Answer:

\(2x^5+3x^2+3\) is a trinomial having with:

Step-by-step explanation:

Considering the trinomial

\(2x^5+3x^2+3\)

It is clear that '5' is the highest power of the 'x' variable. so, the polynomial has a degree of 5.

'3' is the constant term. The reason is that any term with no variable is called a 'constant' term. So, '3' is the constant term.

Therefore, \(2x^5+3x^2+3\) is a trinomial having with:

Answer: 27 masks

Step-by-step explanation:   2/3 = 1 mask

1 yard = 3/2

18 yards=3/2 * 18 = 27 masks

Answer:

4,950

Step-by-step explanation:

:)

1,650-25% 3,300-50% 4,950-75% 5,280-100%

Step-by-step explanation:

convert the percentage to a decimal then multiply by 6,600. To get the number of people of 100%, divide 1.25 (the percent of 6,600) by 6,600. That should be right,

Lena's income tax is calculated by adding the tax on the first $7500 of her income, which is $1125, to the tax on the amount over $7500, which is $5400. Therefore, Lena must pay $6525 in income tax for last year.

To calculate Lena's income tax, we need to compute the tax on the first $7500 of her income and the tax on the amount over $7500, and then add them together.

Tax on the first $7500 = 0.15 * $7500 = $1125

Tax on the amount over $7500 = 0.18 * ($40000 - $7500) = $5400

Total tax = $1125 + $5400 = $6525

Therefore, Lena must pay $6525 in income tax for last year.

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Step-by-step explanation:

a² + b² = c²

4² + 3² = 25²

Square root of 25 = 5

C = 5 yards

The required values of x and y are after solving the given equations are,

x= -22/9

y = -88/9

There are various ways to define an equation. A mathematical statement that demonstrates the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the equation 3x + 5 = 14 comprises the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

We have the first equation,

 y = 4x

substitute this value in 2 nd equation for variable y

2x - 5y = 44

2x - 5 (4x) = 44

2x - 20x = 44

-18x = 44

x = -22/9

By now we know this much :

   y = 4x

   x = 22/9

In order to determine y, use the value of x.

   y = 4(-22/9) = -88/9

Hence,

The values of x and y are,

x= -22/9

y = -88/9

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x 2, and the second side is expressed by  2x-25 , The value of x is 5.

What is isosceles triangles ?

An isosceles triangle is a triangle with two sides of equal length. These two sides are called the legs and they are congruent. The third side is called the base and it is not necessarily congruent to the legs. The angle opposite to the base is called the vertex angle.

To solve for x, we can start by isolating x on one side of the equation.

We can do this by subtracting x^2 from both sides ,

x^2 - x^2 = 2x-25 - x^2

we get 0 = 2x - 25 - x^2

Now we can add x^2 to both sides ,

x^2 = 2x - 25

Now we can move the -25 to the other side of the equation ,

x^2 - 2x + 25 = 0

Now we can factor the left side of the equation ,

(x-5)(x-5) = 0

Now we can solve for x by setting each factor equal to zero ,

x-5 = 0 , x = 5

x 2, and the second side is expressed by  2x-25 , The value of x is 5.

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Answer:

It's 3

Step-by-step explanation:

Just divide the entire equation by 3 to isolate the y variable on the left side.

y = mx + b (m is the slope)

and in this equation, after you divide by 3, the value of m is 3.

Answer:

h

Step-by-step explanation:

Answer: H

Step-by-step explanation:

5 packs with 300 each. Each weigh 9.9x\(10^{-3}\)

multiply all the numbers

you get

=14850    x\(10^{-3}\)     the x\(10^{-3}\) means move decimal left 3 places.

=14.85 lbs

H

10.59 is the value of the given side b.

In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.

Using the sine rule, we can write:

b/sin(27°) = 15/sin(40°)

To find the value of b, we can rearrange the equation:

b = (15 * sin(27°)) / sin(40°)

evaluate the trigonometric functions and calculate b:

b ≈ 10.59

Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.

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The total number of positive integers with exactly three proper divisors and each divisor less than 50 is \(7+18=\boxed{25}$.\)

To have exactly three proper divisors, a number must be of the form \(p_1^2$ or $p_1p_2$\), where \($p_1$\) and \($p_2$\) are prime numbers.

For the case of \(p_1^2$,\) there are only 7 prime numbers less than 50. So, there are 7 possible numbers of the form \(p_1^2$.\)

For the case of \($p_1p_2$\), we can choose 2 prime numbers from the 7 available prime numbers, which can be done in \($\binom{7}{2} = 21$\) ways. However, we must exclude the numbers that are squares of primes, which are already counted in the previous case. There are 3 such numbers: \(2^2$, $3^2$,\)and $5^2$. So, there are \($21-3=18$\) possible numbers of the form \(p_1p_2$.\)

Therefore, the total number of positive integers with exactly three proper divisors and each divisor less than 50 is \(7+18=\boxed{25}$.\)

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The portion of the variance in y that is not explained by the regression model is measured by the variance option known as SSE.

The statistical term variance is defined as the dispersion or spread of a set of data points around the mean.

Variance is the difference between each number in the set and the mean, then squared and summed up. The results of this calculation are divided by the number of data points minus one. The formula for variance can be represented as:

\($\sigma^2 =\frac{\sum (x - \bar{x})^2}{N-1}$$\)

Where\($$\sigma^2= Variance$$\)

\($x = Each\ individual\ data\ point$$$  \bar{x} = The\ mean \value \ of \ the \ set \ of \ data \  points$$\\$N = The \ number \ of  \ data \  points$$\)

There are three types of variance:

Population variance is a statistical term used to describe the average spread of values in an entire population of data points. It is typically denoted by the Greek letter sigma (σ) squared. Since it is almost impossible to gather all the data points in the population, population variance is usually estimated from a random sample of data.

Sample variance, on the other hand, is used to estimate population variance based on a random sample of data points. It is the average of the squared differences from the mean. This type of variance is denoted by the letter s squared, and it is a close estimate of the population variance.

Hence, option 3 is the correct answer.

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(x_1+x_2)=-b/a=18/3=6

x_1x_2=c/a=-21/3=-7

So

(x_1-x_2)²

x_1-x_2=8

Answer:

\(x{_1}^2+x{_2}^2=50\)

\(|x_1-x_2|=8\)

Step-by-step explanation:

Given equation:

\(3x^2-18x-21=0\)

Factor to find the roots:

\(\implies 3(x^2-6x-7)=0\)

\(\implies x^2-6x-7=0\)

\(\implies x^2+x-7x-7=0\)

\(\implies x(x+1)-7(x+1)=0\)

\(\implies (x-7)(x+1)=0\)

Therefore:

\(\implies (x-7)=0 \implies x=7\)

\(\implies (x+1)=0 \implies x=-1\)

Therefore, the roots of the quadratic equation are:

\(x = 7,\quad x = -1\)

Let  \(x_1 = 7\)

Let  \(x_2 = -1\)

\(\implies x{_1}^2+x{_2}^2=7^2+(-1)^2=50\)

\(\implies |x_1-x_2|=|7-(-1)|=8\)

The probability of an outcome is between 0 and 1; the sum of the probabilities of all possible outcomes is 1; the outcomes are mutually exclusive. So , the correct option is B.

Probability distribution is a statistical term that refers to the probability of an outcome of an experiment. It's a function that associates each possible outcome of an experiment with its likelihood of occurrence.

A probability distribution is a representation of the probabilities of all potential outcomes in an event. The following are some characteristics of probability distributions: Probability is the likelihood of an event occurring. It's a value that ranges from 0 to 1.

It can't be less than 0 or greater than 1. Probability values of 0 and 1 represent impossible and certain outcomes, respectively. The sum of the probabilities of all possible outcomes must be equal to 1.

This is due to the fact that the occurrence of any of the possible outcomes is a certainty. The probability of the event happening is therefore 100 percent. The probability of an outcome is related to the number of possible outcomes in an experiment that can generate the desired result.

The greater the number of possible outcomes, the smaller the likelihood of the desired outcome. As a result, probabilities range from 0 to 1, with a probability of 0 indicating an impossible outcome and a probability of 1 indicating a certain outcome. A distribution's symmetry refers to the extent to which a distribution is symmetrical about its mean.

A symmetric distribution is one in which the left and right halves of the distribution are mirror images of each other. An asymmetric distribution, on the other hand, has dissimilar left and right sides.

Mutually exclusive outcomes are outcomes that cannot occur at the same time. The outcomes in probability distribution are mutually exclusive because only one outcome occurs at a time. So , the correct option is B.

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Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer: x = 3

Step-by-step explanation:

The area of a triangle is 1/2bh.  Thus, the area of the triangle is 30.  The area of a rectangle is lw.  Thus it is 10x here.  Thus, 10x = 30 and x = 3.

Hope it helps <3

Answer:

x = 3

Step-by-step explanation:

To find the area the area of a triangle is 1/2 b×h

that will be 1/2× 5×12 = 30

since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30

= 10x= 30 divide both sides by 10 = 3

so x = 3

Answer:

C

Step-by-step explanation:

You have 2 totals so the number of males + females = 127 so x + y = 127

Then there are 23 more males than females, it did not say 23 times more so B is out, so the female number + 23 = male number so y + 23 = x

Therefore letter C is the answer.

1. The weight of the Santiago sister is 126 ounces.

2. The weight of the watermelon is  18.4375 pounds.

3. The weight of the elephant is 0.006 tons.

1.

Santiago's sister weighed 7 pounds, 14 ounces when she was born. Therefore, the amount of ounces she weighed can be calculated as follows:

1 pounds  = 16 ounces

7 pounds = ?

cross multiply

weight in ounces = 14 + 16(7) = 14 + 112 = 126 ounces

2.

Polly bought a watermelon that weighed 295 ounces. Therefore, the weight of the watermelon in pounds and ounces is as follows:

16 ounces = 1 pounds

295 ounces = 18.4375 pounds

Hence,

weight of the watermelon =  18.4375 pounds

3.

An elephant at the zoo weighs 12.000 pounds.  Therefore, the number of tons the elephant weighs can be calculated as follows:

1 pound = 0.0005 tons

12 pounds = ?

cross multiply

weight of the elephant = 0.0005 × 12

weight of the elephant = 0.006 tons

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