In the 1980’s, a clinical trial was conducted to determine if taking an aspirin daily reduced the incidence of heart attacks. Of 22,071 medical doctors participating in the study, 11,037 were randomly assigned to take aspirin and 11,034 were randomly assigned to the placebo group. Doctors in this group were given a sugar pill disguised to look like aspirin. After six months, the proportion of heart attacks in the two groups was compared. Only 104 doctors who took aspirin had a heart attack, whereas 189 who received the placebo had a heart attack. Can we conclude from this study that taking aspirin reduced the chance of having a heart attack? the purpose of this study was to determine whether taking an aspirin daily reduces the proportion of heart attacks.

Answers

Answer 1

There is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

[tex]H_{0} :p{1} -p_{2} =0[/tex]

[tex]H_{1}:p_{1} -p_{2} < 0[/tex]

We have to find the respective probabilities.

[tex]p_{1}[/tex]=104/11037

=0.0094

[tex]p_{2}[/tex]=189/11034

=0.0171

Now their respective margin of errors.

[tex]s_{1}[/tex]=[tex]\sqrt{ {(0.0094*0.9906)/11037}[/tex]

=0.0009

[tex]s_{2}[/tex]=[tex]\sqrt{0.0171*0.9829}[/tex]

=0.0011

Hence the distribution of the differences,they are given by:

p=[tex]p_{1} -p_{2}[/tex]

=0.0094-0.0171

=-0.0077

S=[tex]\sqrt{s_{1} ^{2}+s_{2} ^{2} }[/tex]

=[tex]\sqrt{(0.0009)^{2} +(0.0011)^{2} }[/tex]

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

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Step-by-step explanation:

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When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).​

Answers

Answer:

About 51.6 feet

Step-by-step explanation:

50^2+13^2

Square root of 2669 is 51.66236541

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

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x

Answers

It represents decay because the term inside the parentheses (which is “b”) is less than one. To find the percentage rate, subtract b from 1 and multiply it by 100.

1-0.63=0.37
0.37(100)=37

So the final answer is 37% decrease.

Answer:

decay function

percent rate of decrease is 37%

Step-by-step explanation:

I assume the x is the exponent.

[tex] y = 47(0.63)^x [/tex]

The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.

Each unit more in x results in 0.63 being multiplied by the number.

Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.

Answer:

decay function

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Logan ran a 200-meter rase in 25.24 seconds, and Scott ran 0.4 kilometer in 52.77 seconds. Who ran faster, Logan or Scott? And at what rate did they run meters per second

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Neither Logan or Scott ran farther than the other they were in the same miles at the same time.

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Answer:

[tex]\frac{x3(p+5)}{10p(p-1)}[/tex]

Step-by-step explanation:

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Answers

Answer:

x-23=18

x=18+23

x=41

Step-by-step explanation:

go to - 23 on the other side after equal to the changed sign and find x

[tex]\sqrt{2x-3} =5[/tex]

Answers

X=14

How to:
Square both sides then solve the equation

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Answer:

A=LxW

Step-by-step explanation:

Answer:

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b   x h

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You have to solve the problem \frac{3}{4}-\frac{1}{8} ​4 ​ ​3 ​​ − ​8 ​ ​1 ​​ . After you make the denominators the same, what do you do?


FOR ALL MY POINTS

Answers

Answer:

If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other

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make a common denominator (or find the least common multiple)

3/6 - 2/6

subtract the numerators

take 2 from 3 and put that on top.

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Plz help me with this

Answers

B is the correct answer

On a triangle, one side measures 4x2−2x and another side measures 2x2 −5x+1. If the perimeter of the triangle is 9x2 + x+6, what is the measure of the third side of the triangle? (Your answer will be an expression)

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Answer:

3x² + 8x + 5

Step-by-step explanation:

Subtract the sum of the 2 given sides from the perimeter, that is

9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)

= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1

= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms

= 9x² + 8x + 5

3x - 2y= 5, 4x + 3y= 1​

Answers

Answer:

x=17 and y=23 DONT SUE ME IF I GET THIS WRONG PLZZ ;-;

Step-by-step explanation:

Answer:

(1, - 1 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 5 → (1)

4x + 3y = 1 → (2)

Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y- term

9x - 6y = 15 → (3)

8x + 6y = 2 → (4)

Add (3) and (4) term by term to eliminate y

17x + 0 = 17

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

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4 + 3y = 1 ( subtract 4 from both sides )

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the number of magazine subscriptions decreases by 8% each year.If there are 225,000 this year,how many will there be 7 years from now

Answers

Answer:

I got 147107

Step-by-step explanation:

If the subscriptions decrease by 8% each year then you would times 225000 by 0.08 then take the number you get from that and subtract it from 225000. And repeat until you get to the seventh year.

Find the values of the variables in the parallelogram. The diagram is not to scale.

Answers

Step-by-step explanation:

option B is the correct answer of this question.

x = 29, y = 49 and z = 102 .

plz mark my answer as brainlist plzzzz vote me also .

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Answer:

B

Step-by-step explanation:

x is 29 because the inverse opposite of angles are the same.

z is 102 because opposite parallelogram angles are the same.

y is 49 through process of elimination.

I really need help really fast!!!

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Answer:

-3 sqrt 2 or -4.242640687

Step-by-step explanation:

Is the absolute value of -29 less than 29?

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Answer:

no

Step-by-step explanation:

The absolute value is EXACTLY 29, so.

what is the area of a square yards of a rectangle with a length of 9 yds and a width of 4 yds?

Answers

[tex]a = lw[/tex]

[tex]a = (9)(4)[/tex]

[tex]a = 36 \: {yds}^{2} [/tex]

Answer:

Here we can understand that the shape is a rectangle as length is not equal to width.

Area of the rectangle in square yards when length is 9 yds and width is 4 yds will be,

Area of Rectangle = LENGTH × WIDTH

⇒ 9*4

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Thus the are will be  36 sd yds

Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of this time period

Answers

4000(1+1.5\100)to the power of 3

What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula

Answers

Answer:

x= −5−11√13/2, −5+11√13/2

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x= −5−11√13/2, −5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Step-by-step explanation:

x(x+5)=387

Simplify

x(x+5).

x^2+5x=387

Subtract 387 from both sides of the equation.

x^2+5x−387=0

Use the quadratic formula to find the solutions.

−b±√b^2−4(ac)/2a

Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1

Simplify.

x=−5±11√13/2

The final answer is the combination of both solutions.

x=−5−11√13/2, −5+11√13/2

The result can be shown in multiple forms.

Exact Form:

x=−5−11√13/2,−5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Hope it is helpful....

Answer:

[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

x(x + 5) = 387

Step 2: Identify Variables

Rewrite

[Distributive Property] Distribute x:                                                               x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides:                  x² + 5x - 387 = 0Part:                                                                                                                 a = 1, b = 5, c = -387

Step 3: Solve for x

Substitute in variables [Quadratic Formula]:                                                [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply:                                                                                         [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply:                                                                  [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify:                                                                        [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]

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Answer:

1st is 1/4 and 2nd is 1/10

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Answer:

5³ = 125

Step-by-step explanation:

5³ = 5 × 5 × 5 = 25 × 5 = 125

Answer:

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Answer:

8

Step-by-step explanation:

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Which of the relations has a domain of {-5, 0, 5}?

A. {(-5, 5), (0, 5), (5,5)}
B. {(0, -5), (0, 0), (0, 5)}
C. {(-5, 0), (0, 5), (1, 0)}

Answers

Answer:

B

Step-by-step explanation:

its that how you would look like if you were anime sorry was looking at your pf. have a nice day

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Answer:

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Step-by-step explanation:

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Answer:

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