In a clinical trial, 50 patients who received a new medication are randomly selected. It was found that 10 of them suffered serious side effects from this new medication. Let p denote the population proportion of patients suffered serious side effects from this new medication.
(a) Find a point estimate for p and construct a 95% confidence interval for p.
(b) Using the proportion estimate from the alb roportion estimate from the above sample, find the minimum sample size needed to estimate the population proportion p with 95% confidence. The estimate must be accurate within .01 of p.

Answer:

Step-by-step explanation:

This is because when you dilate a triangle it gets larger and expands. This means that it changes its position.

The edges of the triangle will get larger so the perimeter will not stay the same but it will change. But, the new perimeter is going to be rationonal to the original one.

Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

Answer:

3

Step-by-step explanation:

The slope of the given line is \(\frac{2}{3}\).

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

\(= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}\)

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Answer:

the given picture is not clear

Answer:

Thanks for the points... dude.....

Answer:  If the wall is 300 meters long, the dimensions of the fence with the maximum area will be 300 × 150 = 45000 m²

Step-by-step explanation:

try combinations in a chart

190 × (600-190)/2 = 38950  = 190 × 205       increasing area

200 × (600-200)/2 = 40000   = 200 × 200

220 × (600-220)/2 = 41800   == 220 × 190

240 × (600-240)/2 = 43200   == 240 × 180

260 × (600-260)/2 = 44200  == 260 × 170

280 × (600-280)/2 = 44800 .  == 280 × 160

300 × (600-300)/2 = 45000  == 300 × 150  Maximum Area

310 × (600-310)/2 = 44950 . == 310 × 145    decreasing area

320 × (600-320)/2 = 44800 . == 320 × 140    

Answer:

True

Step-by-step explanation:

On December 17, 1903, Wilbur and Orville Wright made four brief flights at Kitty Hawk with their first powered aircraft. The Wright brothers had invented the first successful airplane. The Wrights used this stopwatch to time the Kitty Hawk flights.

Answer:

yes

Step-by-step explanation:

The given information provides a square thin plane lamina with side length 4 cm, which is earthed along three sides.

(i) Deriving expressions for the potential and electric field strength:

Electric Field Strength (E):

E = -∇V, where ∇ represents the gradient operator and V(x, y) = sin(πx/2a)sin(πy/2a).

Now, let's calculate the components of the electric field E using the partial derivatives:

E = -(∂V/∂x)î - (∂V/∂y)ĵ

= -[(πcos(πx/2a))/2a]î - [(πcos(πy/2a))/2a]ĵ

= -(π/2a)cos(πx/2a)î - (π/2a)cos(πy/2a)ĵ.

(ii) Calculating the values at the center of the plate:

Voltage at the center of the square:

V(x, y) = sin(πx/2a)sin(πy/2a)

V(0.02, 0.02) = sin(π/4)sin(π/4) = 0.5V.

Vector E field at the center of the square:

E = -(π/2a)cos(πx/2a)î - (π/2a)cos(πy/2a)ĵ

E(0.02, 0.02) = -(π/2(0.04))cos(π/4)î - (π/2(0.04))cos(π/4)ĵ

= -19.63î - 19.63ĵ V/m.

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Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

D. add all the y values to get 696 and then add all the x values and get 11.6 divide 696 by 11.6 and you get 60. You get the y-values by multiplying 60 by the x value, so D is the correct answer

Step-by-step explanation:

Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.

Answer: X=1 units

Y= 5 units

Z=3 units

Step-by-step explanation:

Answer:

X=1 units

Y= 5 units

Z=3 units

Step-by-step explanation:

The stage that is not included in a four-stroke engine is the expansion stage

A four-stroke engine follows a cycle consisting of four stages: intake, compression, combustion, and exhaust. In the intake stroke, the piston moves downward, drawing in a mixture of air and fuel into the combustion chamber through the intake valve.

During the compression stroke, the piston moves upward, compressing the air-fuel mixture to create a highly compressed charge. The combustion stroke involves igniting the compressed mixture with a spark plug, resulting in an explosion that forces the piston downward, generating power.

Finally, during the exhaust stroke, the piston moves upward again, expelling the exhaust gases produced during combustion through the exhaust valve.

The expansion stage mentioned in the question does not exist in the typical four-stroke engine cycle. The power stroke, also known as the combustion stroke, is responsible for generating the power that drives the engine.

It occurs immediately after the compression stroke and is followed by the exhaust stroke. During the expansion stage, the piston is not actively involved in any mechanical work.

Instead, it is driven downward by the force generated during combustion, which leads to the power stroke. Therefore, the expansion stage is not explicitly included as a separate stage in the four-stroke engine cycle.

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Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = \(\frac{1}{2} *4\)

                     = 2 papas secas

Cerdo = \(\frac{1}{2} *4\)

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = \(1\frac{1}{2} *4\)

                       = \(\frac{3}{2} *4\)

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.

1. Sort the data either ascendingly or descendingly.

2. Determine how many items are in the data set.

3. The median is the number in the middle of the list if the number of items is odd.

4. The median is the average of the two middle numbers in the list if the number of items is even.

To figure out the range:

1. Sort the data either ascendingly or descendingly.

2. To determine the range, deduct the smallest number from the largest.

As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.

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Hence, OC bisects AB, as congruent parts of congruent triangles are equal.

When two or more geometric figures are similar in size, form, and orientation, this is referred to as congruency in geometry. Two figures can be overlaid on one another by translation, rotation, and/or reflection when they are congruent because they are almost similar to one another and do not alter in size, form, or orientation.

For the given problem, the complete steps of proof with reasoning are:

(a) OC is perpendicular to AB in circle O (given). i.e ∠OCA and ∠OCB are right angles.

Reason: This is given in the problem statement. It establishes that OC forms a right angle with AB at point C in circle O. i

(b) Draw OA and OB (construction).

Reason: This is a construction step that introduces radii OA and OB from the center O of the circle to points A and B on the circle. This sets up the framework for the subsequent steps and establishes the positions of A and B in relation to the circle and the perpendicular OC.

(c) OA = OB (radii of the same circle are equal).

Reason: Radii of the same circle are always equal in length. This is a basic property of circles, where all radii have the same length, which can be stated as OA = OB based on the definition of a circle.

(d) OC = OC (Reflexive Property of Equality)

Reason: It is a property of line segments that they are equal to themselves. This is known as the Reflexive Property of Equality, which states that any quantity is equal to itself.

(f) AC = BC (common side of congruent triangles).

Reason: AC and BC are line segments that are both radii of the same circle, and OA = OB (Step c). Therefore, by the definition of congruent segments, AC = BC.

(e) Triangle ACO is congruent to triangle BCO (HL congruence criterion for right triangles).

Reason: Angle ACO and angle BCO are both right angles based on the given information that OC is perpendicular to AB (Step a). Also, AC = BC (Step d) and OA = OB (Step c). Therefore, by the Hypotenuse-Leg congruence criterion for right triangles, triangle ACO is congruent to triangle BCO.

(g) OC bisects AB (congruent parts of congruent triangles are equal).

Reason: Since triangle ACO is congruent to triangle BCO (Step e), the corresponding parts of congruent triangles are equal. In this case, OC is a common side (hypotenuse) of both triangles, and AB is a side of both triangles. Therefore, by the definition of a segment bisector, OC bisects AB.

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The volume of the resulting prism is 3.375 times of original volume.

The factor by which the dimensions of an object are enlarged is called the scale factor.

Let us take the base area of Prizm = a²

Height of the prism = h

Enlarged area = (scale factor)² * previous area

Enlarged area = 1.5²*a² = 2.25a²

Enlarged height = 1.5h

So, enlarged volume = enlarged area* enlarged height

Enlarged volume= 2.25a²*1.5h = 3.375a²h

Enlarged area/previous area = 3.375a²/a² = 3.375

Therefore, the volume of the resulting prism is 3.375 times of original volume.

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Answer:

\(\displaystyle \large{y=\frac{18+4h}{5} }\\\)

Alternatively, you can use \(\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\\) as an answer.

Step-by-step explanation:

To make y as the subject of equation, we have to find a way to isolate y-variable.

First, add 4h both sides of equation which we obtain:

\(\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}\)

Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.

\(\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }\)

Thus the answer is y = (18+4h)/5

Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.

\(\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\\)

Either one of these solutions work.

_______________

Let me know in the comment if you have any questions.

Answer:

3

Step-by-step explanation:

{2 + [-3 (4 -2) + 8] - 1}

first, solve the parenthesis in the middle:

{2 + [-3(2) + 8] - 1}

Now, multiply -3 and 2:

{2 + [-6 + 8] - 1}

add -6 and 8

{2 + 2 - 1}

add 2+2

4-1

obviously:

4-1=3

Also, can you please give me brainliest? Thank you very much!!

To solve for m, divide both sides by 5/6

M = 85/ 5/6

When dividing by a fraction flip the fraction over and multiply

M = 85 x 6/5 = (85 x 6)/5 = 510/5 = 102

He drove 102 miles on Monday

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

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Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

\(m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2\)

So the equation of the line using point (-1,4) is

Hope this helps you

This isn't an answer, rather a suggestion. I would use the website desmos to help me. But for future reference I can help you.

f(x) = - x+6 is similar to y=-x+6.

Simply plug in random numbers into the variable x (preferably ones that could fit on your paper like 0,1,2,3...)

The solution to the expression is 88. To solve the given expression, follow the order of operations (PEMDAS/BODMAS).

P - Parentheses/Brackets

E - Exponents/Orders

MD - Multiplication and Division (from left to right)

AS - Addition and Subtraction (from left to right)

Let's break down the expression step by step:

Step 1: Evaluate the expression inside the parentheses first:

(8 x 3) ÷ 4 = 24 ÷ 4 = 6

Step 2: Now, substitute the result back into the expression:

24 ÷ 6 x 2 = 4 x 2 = 8

Step 3: Evaluate the expression inside the other set of parentheses:

(15 - 4) = 11

Step 4: Finally, multiply the results from Step 2 and Step 3:

8 x 11 = 88

Therefore, the solution to the expression is 88.

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Complete question is:

Solve the given expression: {24 ÷ [(8 x 3) ÷ 4] x 2} x (15 – 4)

Answer:

50-90 = 100

Step-by-step explanation:

the ball should be roll ad i dont knw if you knw lwase dp ot tanks

Step-by-step explanation:

1. Reverse the Terms:

19+5=3x

24=3x

Divide both sides by 3:

8=x

x=8.

2. Solve by using operations for common terms:

3x-5=19

Add 5 to both sides:

3x=24

Divide both sides by 3:

x=8.

Answer:

A

Step-by-step explanation:

BECAUSE IM DIFFERENT