In a large clinical​ trial, 392,727 children were randomly assigned to two groups. The treatment group consisted of 196,925 children given a vaccine for a certain​ disease, and 29 of those children developed the disease. The other 195,802 children were given a​ placebo, and 112 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1​, p1​, q1​, n2​, p2​, q2​, p​, and

The value of sin 75 without using a calculator is 1/4(√2 +√6)

From the question, we have the following parameters that can be used in our computation:

sin(75)

This can be expanded as

sin(75) = sin(45 + 30)

Using the sine rule, we have

sin(75) = sin(45)sin(30) + cos(45)cos(30)

Evaluate the trigonometry ratios

So, we have

sin(75) = √2/2 * 1/2 + √2/2 * √3/2

So, we have

sin(75) = √2/4 + √6/4

Evaluate the sum

sin(75) = 1/4(√2 +√6)

Hence, the value is sin(75) = 1/4(√2 +√6)

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Answer:

5/8 is the answer to this problem!

Step-by-step explanation:

The reason why this is the answer is that all 3 numbers have to equal 8/8 ... so 1/8 + 2/8 + 5/8 = 8/8!

Hope this helps + sorry if I am too late:)

Answer:

1. C - 8x bigger

2. D - 16x bigger

3. A - 3x bigger

Step-by-step explanation:

Answer:

1. C

2. D

3. A

Step-by-step explanation:

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

start by replacing x from the first equation into the second equation

solve the equation for y

replace y into the first equation to find x

the solution for the system of equations is (7,4).

Answer:

52

Step-by-step explanation:

When you multiply \(20\frac{4}{5}\) by \(2\frac{1}{2}\) is 52.

To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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Answer:

\(y =-\frac{1}{2}x + 8\)

Step-by-step explanation:

Given

Perpendicular to \(y = 2x + 1\)

Pass through \((4,6)\)

Required

Determine the line equation

First, we need to determine the slope of \(y = 2x + 1\)

An equation is of the form:

\(y = mx + b\)

Where

\(m = slope\)

In this case:

\(m =2\)

Next, we determine the slope of the second line.

Since both lines are perpendicular, the second line has a slope of:

\(m_1 = \frac{-1}{m}\)

\(m_1 = \frac{-1}{2}\)

\(m_1 = -\frac{1}{2}\)

Since this line passes through (4,6); The equation is calculated as thus:

\(y - y_1 = m_1(x - x_1)\)

Where

\((x_1,y_1) = (4,6)\)

This gives:

\(y - 6=-\frac{1}{2}(x - 4)\)

Open bracket

\(y - 6=-\frac{1}{2}x + 2\)

Add 6 to both sides

\(y +6- 6=-\frac{1}{2}x + 2+6\)

\(y =-\frac{1}{2}x + 8\)

The indicated operation 1/3 x 6/7 can be performed as 2/7.

The concept that will be used in this operation is the multiplication operation.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream. By multiplying their outputs, you can multiply one function by another.

Given operation is  1/3 x 6/7

1/3 x 6/7

=[ (1 x 6)/(3 x 7) ]

= (6/21)

= 2/7

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check the correct question:

Perform the indicated operation. 1/3 x 6/7

The answer for it is diagram B because it does not cross or have parallel lines

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer:

11 degrees

Step-by-step explanation:

-2+13=11

Answer:

Lines p and q are intersected by liner, as shown below. If mZ1 = 7x - 36 and mZ2 = 5x + 12, for which value of x would p || q? O 97 O 17 0 24 O 83 1 2 3​

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

2

Step-by-step explanation:

Answer:

The answer is

→ 2

Step-by-step explanation:

Let's look at the number.

12,345,678,900,000

And were asked to find the digit in the trillions place in this number.

Well, if we say it by word, then it will be:

twelve trillion, three hundred and forty-five billion, six hundred and seventy-eight million, and nine hundred thousand

Well, since were trying to find the digit in the trillionth place, then 12 trillion cannot be correct because the digits are in the 10 trillionth place. Ignore the 1 and you can see a number 2 in the trillionth place.

Therefore, your answer is 2.

Hope this helped! :^)

Answer:

its .125

edit: .125 = 1/8th

Step-by-step explanation:

4/4 is 1 times .125=1/8th

Answer:

The answer is A

Step-by-step explanation:

I did the test and I made a 100.

Mark me as branilest

Answer:

The answer is A. Hope it helps!

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

total population in the year 2000=4400

total population in the year 2010=5060

no of people increased=5060-4400

=660

increase percent=660/4400*100%

=3/20*100%

=15%

Step-by-step explanation:

15/100*5060

0.15*5060

759

in 2020 population will be

5060+759

5819

therefore the population will be 5819 in 2020

dd3w4etddddfsaetgwserrry4

Answer:

Vamos a inventa tres multiplicaciones de seis factores en la que el resultado sea positivo, es decir un número mayor que cero, en la otra negativo, es decir, un número menor que cero y  por último otra multiplicación que de como resultado el  cero "0".

Primero recordemos que:

Los factores son los números que se multiplican.

Seis factores serían 6 números.

Multiplicación con resultado positivo, es decir mayor a 0:

2×3×4×2×1×5=240

Multiplicación con resultado negativo, es decir menor a 0:

-4×2×5×2×1×10= -400

Multiplicación con resultado cero:

2×4×6×7×11×0=0

Step-by-step explanation:

Brainliest please

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:

the alternative hypothesis is - p > 0.24

Step-by-step explanation:

Given that the retention rate is 24% = 0.24

So,

The alternative hypothesis is -

p > 0.24

Because the retention rate has increased during the last two years.

Answer:

25

Step-by-step explanation:

First I would divide 15 by 3 which would get me 5 then i would multiply it by 5 to get the answer of 25.

Answer:

change your pfp and ill give u the answer

Step-by-step explanation:

Answer:

x = 17.5 degrees

Step-by-step explanation:

So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.

2x+10 = 45

Move over the 10

2x = 35

Divide by 2

x = 17.5 degrees

That's all.

Answer:

27

Step-by-step explanation:

27 plus 29 is 56