Round to the nearest whole number
763.9

Answer:

42 cm

Step-by-step explanation:

the first triangle is 7 times bigger than the second triangle. ( 4 x 7 = 28)

so to find out line EG, you times 6 cm by 7. which is 42

The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.

As we can see in the problem, there are three treatment conditions are given.

Alternative hypothesis H₁: Not all means are equal

\(\rm H_0: \mu_1\neq \mu_2\neq \mu_3\)

Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

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Answer:

A and B

Step-by-step explanation:

The answer for the question is A and B because 130+ 50=180 A line is equivalent to 180 degrees.B and C are opposites from each other so they are vertical.

The number of different unique cleaning teams should be 1540.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A class has 10 boys and 12 girls and 3 students are chosen at random.

So, the team of 3 can be chosen as 3 boys, 3 girls, 1 boy 2 girls, and 1 girl and 2 boys and the total teams will be the sum of different combinations which is,

= \(^{10}C_3 + ^{12}C_3 + ^{10}C_1\times^{12}C_2 + ^{12}C_1\times^{10}C_2\).

= (10×9×8)/6 + (12×11×10)/6 + 10×(12×11)/2 + 12×(10×9)/2.

= 120 + 220 + 660 + 540.

= 1540.

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To find the sum of 305 and 84, proceed as follows:

The answer is 389.

The equations that  could represent f(x) and g(x) are f(x) = 6/x + 3 and g(x) = x

From the question, the equation of the function is given as

f of g of x is equal to 6 over the quantity x squared end quantity plus 3

Rewrite properly

So, we have

f(g(x)) = 6/x² + 3

The above equation can be rewitten as

f(g(x)) = 6/g(x)² + 3

This means that

g(x) = x

Remove the occurrence of g(x) from the equation f(g(x)) = 6/g(x)² + 3

So, we have

f(x) = 6/x + 3

Hence, the possible equations are f(x) = 6/x + 3 and g(x) = x

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In the basis step of the mathematical induction proof for P(n), we show that the equation is true for n = 1. The equation of the inductive hypothesis (IH) is P(k), where k is an arbitrary natural number. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

In the basis step, we substitute n = 1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1. This gives us the equation 1⋅2 = 1+1, which is true.

The inductive hypothesis (IH) is denoted as P(k), where k is an arbitrary natural number. We assume that P(k) is true, meaning that 11⋅2+12⋅3+⋅⋅⋅+1k⋅(k+1)=kk+1 holds.

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true. This involves substituting n = k+1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 and demonstrating that the equation holds for this value. The specific equation we need to show in the inductive step is 11⋅2+12⋅3+⋅⋅⋅+1(k+1)⋅((k+1)+1)=(k+1)(k+1+1).

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In the basis step, we need to show that the equation P(1) is true. The equation of the inductive hypothesis (IH) is P(k), where k is any natural number greater than or equal to 1. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

To prove the equation P(n): 11⋅2 + 12⋅3 + ... + 1n⋅(n+1) = n(n+1) using mathematical induction, we follow the two-step process.

1. Basis Step:

We start by showing that the equation is true for the base case, which is n = 1:

P(1): 11⋅2 = 1(1+1)

Simplifying, we get: 2 = 2, which is true.

2. Inductive Step:

Assuming that the equation is true for some arbitrary value k, the inductive hypothesis (IH) is:

P(k): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) = k(k+1)

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true:

P(k+1): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) + 1(k+1)⋅((k+1)+1) = (k+1)((k+1)+1)

By adding the (k+1)th term to the sum on the left side and simplifying the right side, we can demonstrate that P(k+1) is true.

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The average rate of change:

a. -143.4 decks per day

b. -38 decks per day.

a.

For day 0 to day 5

\(= (1,283 - 2000) \div (5 - 0)\\\\= -717 \div 5\\\\= -143.4\)

b.

For day 15 to day 20

\(= (338-528) \div (20-15)\\\\= -190 \div 5\\\\= -38\)

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Answer:

Lateral surface area = 360 cm²

Step-by-step explanation:

Given:

Dimension of small rectangle = (12 cm by 10 cm)

Find:

Lateral surface area

Computation:

Length =√9² + 12²

Length = √81 + 144

Length = 15 cm

Dimension of big rectangle = (15 cm by 10 cm)

Lateral surface area = Area of small rectangle + Area of big rectangle + Area  of slop rectangle

Lateral surface area = (L1 x B1) + (L x B) + (l x b)

Lateral surface area = (12 x 10) + (15 x 10) + (10)(9)

Lateral surface area = 120 cm² + 150 cm² + 90 cm²

Lateral surface area = 360 cm²

Answer:

120π

Step-by-step explanation:

radius = 6

angle =120

because a circle is 360, so that's 1/3 of the full circle

full circle area = πr² =36π

so the arc area = 1/3 * 360π = 120π

A reasonable prediction of the population of South Carolina in 2018, based on the trend shown in the table, is approximately 3.71 million people.

What is population?

Population refers to the total number of individuals, typically humans, living within a specific geographic area, such as a city, state, or country. It is an important measure for studying the demographics and characteristics of a given region or community. Population can also be used to analyze trends and patterns in areas such as healthcare, education, employment, and economics.

Based on the trend shown in the table, we can assume that the population of South Carolina is increasing linearly over time. To make a prediction of the population in 2018, we can use linear regression to estimate the slope and intercept of the line that best fits the data, and then use that line to extrapolate to the year 2018.

Using the data from the table, we can calculate the slope and intercept of the line of best fit as:

slope = 1.84

intercept = 4.92

Using these values, we can predict the population of South Carolina in 2018 as:

population_2018 = slope * 2018 + intercept

population_2018 = 1.84 * 2018 + 4.92

population_2018 = 3710.16 (rounded to two decimal places)

Therefore, a reasonable prediction of the population of South Carolina in 2018, based on the trend shown in the table, is approximately 3.71 million people.

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Answer:

i woyld say 1/3 and 2/5

Step-by-step explanation:

they aer bigger parts then the other

Answer:

if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .

Answer:

A

Step-by-step explanation:

\(\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5\)

1 1/4 × 5 = 6 1/4

Answer:

1. -13 degrees

2. $12

3. 6 yards

4. 15 points

Step-by-step explanation:

1. -5 - 8 = -13

2. $100 - $88 = $12

3. 13 - 7 = 6

4. 10 x 2 = 20 - 5 = 15

Answer:

y intercept = -3

the slope of the line is 1

Step-by-step explanation:

y intercept is the value of y when x = 0

x = 0 when y = -3

Answer:

(x+2)^2 - 6

Step-by-step explanation:

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable

Exact Form:

x = - 25/8 \(\frac{x}{y}\)

Decimal Form:

x = -3.125

Mixed Number Form:

x = - 3/1/8 \(\frac{x}{y}\)

Step-by-step explanation:

Answer:

Karl is 16 and Danny is 12

Step-by-step explanation:

The concept of a complement of a set is the set of all elements in the universal set that are not in the original set. The answer is B) {1, 2, 3, 4, 5, 6, 7}.

It is denoted by U. Universal sets are used to define the scope of an expression or equation, as well as to denote sets of all objects, such as the set of real numbers or the set of natural numbers.

The complement of a set is also referred to as its opposite set. In this case, the universal set is {1, 2, 3, 4, 5, 6, 7}, and the set C is {1, 2, 3}.

The complement of C is {4, 5, 6, 7}.

The complement of the complement of C is the set of all elements that are not in the complement of C.

Since the complement of C is {4, 5, 6, 7}, the complement of the complement of C is the set of all elements in the universal set that are not in the complement of C, which is {1, 2, 3, 4, 5, 6, 7}.

Therefore, the answer is B) {1, 2, 3, 4, 5, 6, 7}.

To summarize, the complement of the complement of C is the set of all elements in the universal set that are not in the complement of C.

In this case, the complement of C is {4, 5, 6, 7}, so the complement of the complement of C is {1, 2, 3, 4, 5, 6, 7}.

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Answer:

n ≥ -4 or n < -1

Step-by-step explanation:

Flip the sign with the -4 n thing and that's it for that side of the or. Then you subtract the 1 from -2. So, then you are left with 3n< -3 then you divide both sides by 3 and get n < -1.

Answer:

that's hard

Step-by-step explanation:

I can't answer

Answer:

B

Step-by-step explanation:

The pay increases, so it clearly cannot be C or D, and 25% of 12 is 3 because 12/4 = 3, so it would have to be B.

Answer:

313

Step-by-step explanation:

133+133+47=313

C would be 47 cuz 180-133=47

Answer:

Each side would be 3 units.

Step-by-step explanation:

If the perimeter of the circle is 12 units and there are 4 sides on a square and all of those sides need to be equal all you must do is divide the number of units by the number of sides to get your answer of 3 units.

Hope I could help! :)

After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.

To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.

The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:

S = a / (1 - r)

where 'a' is the first term of the series.

In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.

Applying the formula, we have:

S = 1 / (1 - 2)

Simplifying, we get:

S = 1 / (-1)

S = -1

However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.

Hence, we conclude that the given infinite series does not converge to 1.

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The list of elements of each set are as follows:-

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {2, 4, 5, 6, 7, 9}

A set in mathematics is a collection of unique objects, referred to as elements or members, that are paired off according to some shared quality.

For instance, 1, 2, 3, 4, 5, 6, 7, and 8 make up the set of all natural numbers that are less than 10. There are several ways to describe sets, including by describing its components, using set builder notation, or by utilising set operations.

Given that-

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {2, 4, 5, 6, 7, 9}

Set U contains all the numbers from 1 to 10, so U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Set A contains only the odd numbers from 1 to 10, so A = {1, 3, 5, 7, 9}.

Set B contains only the even numbers from 1 to 10, so B = {2, 4, 6, 8, 10}.

Set C contains the numbers that are in both A and B, so C = {2, 4, 5, 6, 7, 9}.

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The solution of the system using Gauss elimination is (x, y, z) = (-3.48, 21.07, 9.57).

To solve this system of equations using Gauss elimination, we first need to write the equations in augmented matrix form.

The augmented matrix for the system is:

[1 -2 1 | -8]

[0 2 -5 | 17]

[1 1 3 | 8]

We can start by using row operations to create zeros below the first element in the first row. We can achieve this by subtracting the first row from the third row:

[1 -2 1 | -8]

[0 2 -5 | 17]

[0 3 2 | 16]

Next, we can use row operations to create a zero in the second row, third column position. We can achieve this by multiplying the second row by 3 and adding it to the third row:

[1 -2 1 | -8]

[0 2 -5 | 17]

[0 0 7 | 67]

Now, we can solve for z by dividing the third row by 7:

z = 67/7 = 9.57

Next, we can substitute z into the second row and solve for y:

2y - 5(9.57) = 17

2y = 42.14

y = 21.07

Finally, we can substitute y and z into the first row and solve for x:

x - 2(21.07) + 9.57 = -8

x = -3.48

Therefore, the solution of the system using Gauss elimination is (x, y, z) = (-3.48, 21.07, 9.57).

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The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Answer:

The probability the chances are there is an even chance

Step-by-step explanation:

also if you can plz help on this question

Sharecropping agreements were written in such a way that generally favored the sharecropper.

true or false

It can be seen that Plan 1 provides a greater total capacity.

To determine the greater total capacity, we need to compare the volumes of the tanks in both plans.

Plan 1: V1 = \(\pi * r1^2 * h1\) = \(3.14 * 50^2 * 150\)

≈ 11,78,500 cubic feet

Plan 2: V2 = \(\pi * r2^2 * h2 + \pi * r3^2 * h3\)

=\(3.14 * 30^2 * 75 + 3.14 * 25 ^2* 75\) ≈

2,12,100 + 1,47,187.5 ≈ 3,59,287.5 cubic feet

Plan 1 provides a total capacity of about 11,78,500 cubic feet, while Plan 2 provides a total capacity of about 3,59,287.5 cubic feet.

Therefore, Plan 1 provides a greater total capacity.

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