a random sample of 200 patients is taken from a large medical clinic and each is classified as to whether or not they took an omega-3 fish oil tablet daily. it was found that those who consumed an omega-3 tablet every day had lower cholesterol levels than those who did not. is this an experiment study or an observational study? explain how you know.

Answer:

360 × 3 ÷ 8 = 135

360 - 135 = 225

A minimum of 3 weighings are required to identify the heavy marble out of 8 marbles.

As all the marbles weigh the same except one which is heavier, therefore firstly 8 marbles are divided into half. 4 marbles are placed in one pan while the other 4 are placed in another pan. In this two-pan balance, the pan which is lower than the other contains a heavier marble.

Now, the pan with heavier marble has 4 marbles which are again divided into half. 2 marbles are placed in each pan. Similarly, the pan with heavier marble goes down as compared to another pan with 2 marbles of the same weight. Now the final weighing is done by placing 1 marble in each pan out of 2 marbles taken from the pan which went down before as compared to another pan.

The pan with heavier marble will move down and thus with 3 weighings, a heavier marble is identified.

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Answer

18

Step-by-step explanation:

I hope this helps

Answer:

18

Step-by-step explanation:

Use the order of operations here to solve your expression.

First do Parentheses, then Exponents, Multiplication and Division, and Addition and Subtraction. An easy way to remember this is PEMDAS.

Let's dive right in,

\(-3^{2}-7*-3+6\\-9-7*-3+6\\-9+21+6\\12+6\\18\)

In conclusion, the value of this expression is 18. Hope this helped :D

Edit: fixed an error (did 3^2 instead of -3^2)

Jarrod will need 9 pages if he has 75 sports cards

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of pages Jarrod will need:

No. pages = No. cards / sport card holder

No. pages = 75 cards / 9 cards/page

No. pages = 8.33 pages

Rounding the value up we get:

No. pages = 9 pages

The 9 pages will be distributed as follows:

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The expression to show the cost in dollars of the kit after the discount is 0.8x.

A school supply kit costs x dollars. A sale offers a 20% discount on the kit.

Therefore, the expression that shows how to find the cost in dollars of the kits after the discount.

Hence, the expression is as follows;

An algebraic expression consists of unknown variables, numbers and arithmetic operators like addition and subtraction.

Hence,

cost in dollars after discount = x - 20%x

cost in dollars after discount = x - 0.2x

cost in dollars after discount = 0.8x

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Answer:

Step-by-step explanation:

x_0=0

x_1 =  $40

so delta change is $40.  Now we can write the equation as

y = 40x, where y is the total saving account amount.

So after the 6th deposit, her total saving is $240.

y = 40(6) => 240

Answer:

Step-by-step explanation:

the tables can be gererated by placing the x and y values on the equation

Answer:

I believe the answer is B but not for sure  

Step-by-step explanation:

I think it would be 18.8 after rounding to the nearest tenth as long as the radius is 3cm

The distance of the losing shot from the center is also uniformly distributed from 0 to 1.  To find the PDF of the distance of the losing shot from the center, we need to first determine the probability of one shot being closer to the center than the other.

Let X be the distance of the first shot from the center, and Y be the distance of the second shot from the center. Then, the probability that X is closer to the center than Y is given by the area of the region where X < Y, which is a triangular region with base 1 and height 1/2 (since the probability of X being closer to the center than Y is the same as the probability of Y being closer to the center than X). Therefore, the probability of X being closer to the center than Y is 1/4.

Now, let Z be the distance of the losing shot from the center. We know that Z is equal to the distance of the second shot from the center if the second shot is closer to the center than the first shot, and it is equal to the distance of the first shot from the center if the first shot is closer to the center than the second shot. Therefore, the PDF of Z is given by:

fZ(z) = (1/4)fY(z) + (3/4)fX(z)

where fX(x) and fY(y) are the PDFs of X and Y, respectively. Since X and Y are uniformly distributed from 0 to 1, their PDFs are both equal to 1 for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. Therefore, we have:

fZ(z) = (1/4) + (3/4) = 1

for 0 ≤ z ≤ 1. This means that the distance of the losing shot from the center is also uniformly distributed from 0 to 1.

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The statement that best defines quantitative research is Quantitative research explains a phenomenon by means of collecting numerical data through surveys and observation and analyzing the data with statistical procedures. Option d is correct.

Quantitative research is a type of research that involves the collection of data that can be analyzed numerically. It involves the collection and analysis of data using mathematical and statistical tools. This type of research is often used in the social sciences, such as psychology, sociology, and economics.

Quantitative research is objective in nature and involves collecting data that can be quantified. This type of research is often used to answer research questions that can be measured numerically, such as the number of people who use a particular product or service.

Quantitative research is a systematic, empirical approach to research that involves the collection of numerical data. This data is then analyzed using statistical procedures to draw conclusions about the research question or hypothesis being tested.

Therefore, d is correct.

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Answer:

The slope is 1 or 9/9 mark me brainliest

Step-by-step explanation:

-3 - -12 is 9 and 15 - 6 is 9. That is 1 or 9/9 pls mark brainliest

In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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Answers

-a. 28m+4/3

-b. 2(7m+1/3 + 7m+1/3)

-c. 7m+1/3 + 7m+1/3 + 7m+1/3 + 7m+1/3

-e. (4) x 7m+1/3

Answer:

18.2

Step-by-step explanation:

60 / 3.3 = 18.1818...

The length of the volleyball court in meters is 18.288 meters.

Given that, the standard length of a volleyball court is 60 feet.

We need to find the length of the volleyball court in meters.

Foot to meters formula is an important length conversion formula. And before going to know what is foot to meters formula, let us first recall what is a foot and what is a meter. Meter and foot are the units of length. Meter is a unit of length in the metric system.

The foot to meters formula is as follows. For the given n units of foot measurement, we need to multiply it by 0.3048 to obtain the value in meters. n feet  = n × 0.3048 meters

Now, 60 feet=60 × 0.3048

=18.288 meters

Therefore, the length of the volleyball court in meters is 18.288 meters.

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Answer:

140 > y

Step-by-step explanation:

19 >y/5 - 9

19+9 > y/5

28 >y/5

cross multiply

28×5 > y×1

140 > y

Answer:

C) If the perfect square terms are A^2 and B^2 and other terms must be 2 AB and -2AB

Step-by-step explanation:

As,

\((a^2+2ab+b^2)=(a+b)^2\\(a^2-2ab+b^2)=(a-b)^2\)

Answer:

Step-by-step explanation:

The Perfect Squares  are the squares of the integers

Perfect square trinominal is:   a² ± 2ab + b²  {which is (a±b)²}

So:

The first and third terms must be perfect squares and neither of the perfect  squares can have a minus sign and If the perfect square terms are A2 and B2 then the other term  must be 2AB or -2AB

Answer:

x = 6.6

Step-by-step explanation:

Proportions:

6.8 ⇒ 8.2

5.5 ⇒ P

P = 8.2 * 5.5 / 6.8

P = 6.6    (Rounded to the nearest tenth)

The present value of $3,800 varies: $2,708.48 (9.0% monthly for 5 years), $2,553.08 (6.6% quarterly for 8 years), $3,136.96 (4.38% daily for 4 years), and $3,272.83 (5.7% continuously for 3 years).

a)To calculate the present value when the interest rate is 9.0 percent compounded monthly for five years, we can use the formula for compound interest: PV = FV /\((1 + r/n)^{(n*t)}\), where PV is the present value, FV is the future value, r is the interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get PV = 3800 /\((1 + 0.09/12)^{(12*5)}\) ≈ $2,684.06.

b)For an interest rate of 6.6 percent compounded quarterly for eight years, we can use the same formula. PV = 3800 / \((1 + 0.066/4)^{(4*8)}\) ≈ $2,653.55.

c) When the interest rate is 4.38 percent compounded daily for four years, the formula gives us PV = 3800 / \((1 + 0.0438/365)^{(365*4)}\) ≈ $3,091.41.

d) In the case of continuous compounding at a rate of 5.7 percent for three years, the formula changes to PV = FV / \(e^{(r*t)}\) , where e is the base of the natural logarithm. Therefore, PV = 3800 /\(e^{(0.057*3)}\)≈ $3,244.82.

By applying the appropriate formulas and rounding the calculations to the specified decimal places, we find the present values for each scenario.

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Answer:

yes, they are equivalent

Step-by-step explanation:

solving each expression fully, you will find that both are equal to 77

Answer:

They are equivalent.

Step-by-step explanation:

7⋅11⋅13+13and7⋅6⋅5⋅4⋅3⋅2⋅1+5 are composite numbers.

Answer:

230??

Step-by-step explanation:

If C =270°

And b=40°

270-40= 230

Actually belive the one on top

The mass of the sunfish increases by a factor of 9/7 every 1.05 days.

The growth rate of the ocean sunfish is described by the function M(t) = 3.5(1.05)^t, where t represents the elapsed time in days since the sunfish was born and M(t) represents its mass in milligrams.

To determine the rate at which the mass increases by a factor of 9/7, we need to find the value of t when the mass increases to 9/7 times its initial value.

Let's set up the equation:

M(t) = 3.5(1.05)^t

9/7 × M(0) = 3.5(1.05)^t

Dividing both sides by M(0) (the initial mass), we get:

9/7 = (1.05)^t

Taking the logarithm of both sides, we have:

log(9/7) = log((1.05)^t)

Using logarithmic properties, we can bring down the exponent:

log(9/7) = t × log(1.05)

t = log(9/7) / log(1.05)

Evaluating this expression, we find that the mass of the sunfish increases by a factor of 9/7 approximately every 4.347 days (rounded to three decimal places).

Therefore, the mass of the sunfish increases by a factor of 9/7 every approximately 4.347 days.

Complete Question: Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish.

The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and its mass, M(t), in milligrams, is modeled by the following function:

M(t)=3.5(1.05)^t

The mass of the sunfish increases by a factor of 9/7 every _______ days.

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

The perimeter is 16 inches.

Step-by-step explanation:

P= l+l+w+w

76=22+22+w+w

76=44+w+w

32=w+w

32=2w

16=w

Answer:

\(b=6\)

Step-by-step explanation:

\(7b-15=5b-3\)

Subtract \(5b\) from both sides: \(2b-15=-3\)

Add \(15\) to both sides: \(2b=12\)

Divide both sides by \(2\): \(b=6\)

Answer: 0.00330033003

7v + 12b = 640

12v + 6b = 456

Multiply the bottom equation by -2 in order to cancel out 12b with 6b.

7v + 12b = 640

- 24v -12b = -912

-17v = -272

17v = 272

v = 272/17

v = 16 students

If we use this: 7v + 12b = 640 ;then:

7(16) +12b = 640

112 +12b = 640

12b = 640 -112

12b = 528

b = 528/12

b = 44 students

So the number of students in each van is 16, and number of students in each bus is 44.

An explicit formula for h(n) is:

-17 * 0.2^(n-1)

We can find an explicit formula for h(n) by using the given recurrence relation h(n) = h(n - 1) * 0.2. We can use this recurrence relation to find the value of h(n) in terms of h(1), and then simplify to get an explicit formula.

Starting with h(1) = -17, we can use the recurrence relation to find h(2):

Continuing this process, we can find h(3), h(4), and so on:

and so on.

We can see that h(n) is simply h(1) * 0.2^(n-1), so we have an explicit formula for h(n):

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Answer:

- 6 vertical, -3 horizontal