Determine whether the study depicts and observational study or an experiment. A study is conducted to determine if there is a relationship between heart arrhythmias and caffeine consumption. A sample of 100 people with heart arrhythmia are asked about their caffeine consumption. Does the description correspond to an observational study or an experiment?

Answer:

10in²

Step-by-step explanation:

5π/4 is 62.5% of a circle if you look at the unit circle.

So just find the area of a circle and take 62.5% of it.

A = πr²

A = π(4)²

A = 16π

16π(.625) = 10

Answer:

Common denominator = 20

New fractions are: [tex]\dfrac{15}{20}\ and\ \dfrac{4}{20}[/tex]

Step-by-step explanation:

Given:

The fractions are given as:

[tex]\dfrac{3}{4}\ and\ \dfrac{1}{5}[/tex]

The denominators of the first fraction is 4 and that of the second fraction is 5.

In order to find the common denominator for 4 and 5, we have to find the least common multiple of each of the numbers.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28,....

Multiples of 5 = 5, 10, 15, 20, 25, 30,....

Therefore, the least common multiple of 4 and 5 is 20. So, the common denominator is 20.

Now, multiply the numerator and denominator of each fraction by the same suitable number such that the denominator becomes 20.

So, for the first fraction, 4 is in the denominator.

So, 4 when multiplied by 5 gives 20.

So, we multiply the numerator and denominator of first fraction by 5. This gives,

[tex]\dfrac{3}{4}=\dfrac{3\times 5}{4\times 5}=\dfrac{15}{20}[/tex]

Now, for the second fraction, 5 is in the denominator.

So, 5 when multiplied by 4 gives 20.

So, we multiply the numerator and denominator of first fraction by 4. This gives,

[tex]\dfrac{1}{5}=\dfrac{1\times 4}{5\times 4}=\dfrac{4}{20}[/tex]

Therefore, the new fractions after making the denominators same are:

[tex]\dfrac{15}{20}\ and\ \dfrac{4}{20}[/tex]

Answer:

  3/10

Step-by-step explanation:

Stephen works 6 hours of the total of 20 hours worked. If the chores are proportional to the time worked, then Stephen does 6/20 = 3/10 of the chores.

Answer:

For Plato users the Answer is C

Step-by-step explanation:

Answer:

The correct option is C) [tex]\frac{150}{500}=0.3[/tex].

Step-by-step explanation:

Consider the provided information.

There are 350 households in which English is spoken, 50 in which Spanish is spoken, and 100 in which the language is other than English or Spanish.

Total total number of household = 350 + 50 + 100 = 500

Non English household = 100 + 50 = 150

[ tex]Probability = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]P=\frac{150}{500}=0.3[/tex]

Hence, the correct option is C) [tex]\frac{150}{500}=0.3[/tex].

The probability that the language in a randomly approached household will not be English is 150 out of 500, which simplifies to 0.3. Therefore, the correct answer is c. 150/500 = .3.

The student is asking about the probability that the language spoken in a randomly chosen household from a housing project will not be English. To solve this problem, we add the number of households where Spanish is spoken to the number where languages other than English or Spanish are spoken.

This gives us 50 (Spanish speaking) + 100 (other languages) = 150 households. The total number of households is 350 (English) + 150 (non-English) = 500 households.

Thus, the probability that a randomly selected household will not speak English is the number of non-English speaking households divided by the total number of households which is 150/500 = 0.3. Therefore, the correct answer is c. 150/500 = .3.

Answer:

i think it is 18 or something

Step-by-step explanation:

Answer:

Side length B is 17.

Step-by-step explanation:

Use the Pythagorean Theorem a^2 + b^2 = c^2. if one of the legs is 8, and another is 15, the hypotenuse will be 17.

Answer:

Recursive formula for geometric sequence

[tex]a_{n}=a_{n-1}\times r[/tex]

is [tex]a_{n}=a_{n-1}\times 6[/tex]

and explicit formula for geometric sequence [tex]a_{n}=a_{1}^{r-1}[/tex] is

[tex]a_{n}=(\frac{1}{2})^{6-1}[/tex]

Step-by-step explanation:

Given sequence is [tex]\frac{1}{2},3,18,108,648,...[/tex]

To find the recursive and explicit formula for this sequence:

Let [tex]a_{1}=\frac{1}{2},a_{2}=3,a_{3}=18,a_{4}=108,a_{5}=648,...[/tex]

To find the common ratio r:

[tex]r=\frac{a_{2}}{a_{1}}[/tex]

[tex]=\frac{3}{\frac{1}{2}}[/tex]

[tex]=3\times 2[/tex]

[tex]=6[/tex]

Therefore r=6

[tex]r=\frac{a_{3}}{a_{2}}[/tex]

[tex]=\frac{18}{3}[/tex]

[tex]=6[/tex]

Therefore r=6

Therefore the common ration r=6

Therefore the given sequence is geometric sequence

Recursive formula for geometric sequence is [tex]a_{n}=a_{n-1}\times r[/tex]

[tex]a_{n}=a_{n-1}\times 6[/tex]

and explicit formula is [tex]a_{n}=a_{1}^{r-1}[/tex]

[tex]a_{n}=(\frac{1}{2})^{6-1}[/tex]

[tex]=(\frac{1}{2})^{5}[/tex]

[tex]=\frac{1}{32}[/tex]

Therefore [tex]a_{n}=\frac{1}{32}[/tex]

Answer:

Recursive: a(n) = 6a(n-1)

Explicit: a(n) = (6^n)/12

Step-by-step explanation:

3 = 6 × ½

18 = 6 × 3

.

.

.

Recursive formula:

a(n) = 6a(n-1)

Explicit:

a(n) = a × r^(n-1)

a(n) = ½ × 6^(n-1)

a(n) = (6^n)/12

Step-by-step explanation:

Before we start, let's look at what we're trying to prove: that two triangles are congruent.  There are a few ways we can do that: SSS, SAS, ASA, or AAS.  Whichever we choose, we'll need to show that at least one pair of sides is congruent.  We can do that, since we know that H is the midpoint of LM.  So we'll either use ASA or AAS.

1. LG || JM, H is the midpoint of LM

Given

2. LH ≅ HM

Definition of midpoint

3. ∠GLH ≅ ∠JMH

Alternate interior angles theorem

(∠GLH and ∠JMH are alternate interior angles.  Since LG and JM are parallel, the alternate interior angles are congruent.)

4. ∠LHG ≅ ∠MHJ

Vertical angles theorem

(∠LHG and ∠MHJ are vertical angles, which are always congruent.)

5. ΔLGH ≅ ΔMJH

ASA

(We have two pairs of congruent angles, and a pair of congruent sides between them.)

Now, I chose to use ASA.  However, you could use AAS.  Instead of using vertical angles in step 4, we could have used alternate interior angles theorem to show that ∠LGH ≅ ∠MJH.

Answer: avoid passing through the vein.

Step-by-step explanation:

Step-by-step explanation:

Say y=ax+b. It goes through (0,8) and (4,0). Therefor we can say 8=a(0)+b which gives us b=8. Then we fill in (4,0) which results in 0=a(4)+8. Given that, a=-2. so y=-2+8

Final answer:

The equation of the line that passes through points (0, 8) and (4, 0) is y = -2x + 8. The slope is calculated as -2 and the y-intercept is 8.

Explanation:

To find the equation of a line passing through two points, we can use the formula y = mx + b where m is the slope of the line and b is the y-intercept. The slope m is calculated by the change in y over the change in x, also known as rise over run. For the points (0, 8) and (4, 0), the slope is calculated as (0 - 8)/(4 - 0) which simplifies to -2. Thus, the slope m is -2.

Since the line passes through the point (0, 8), we already know the y-intercept b; it is 8. Now, we can write the equation of the line using the slope we found and the y-intercept: y = -2x + 8.

Answer:

The answer to your question is  0.83 or 83%

Step-by-step explanation:

Data

5 red marbles

10 blue marbles

14 yellow marbles

Process

1.- Calculate the total amount of marbles

    Total amount = 5 red + 10 blue + 14 yellow

     Total amount = 29 marbles

2.- Calculate the amount of marbles that are not red

     No red marbles = 10 + 14

                                = 24 marbles

3.- Calculate the probability

Probability of not pulling a red marble = [tex]\frac{no red marble}{total amount of marbles}[/tex]

Probability of not pulling a red marble = [tex]\frac{24}{29} = 0.83 or 83%[/tex]

Answer:

The answers in numerical order are 4, 9.

Step-by-step explanation:

i)Let the two required numbers be x, y .

ii) It is given that x = y + 5

iii) it is also given that x + y  = 3y - 3.

iv) substituting the value of x from ii) in equation iii) we get

   (y + 5) + y = 3y - 3    ⇒ 2y = 8    ∴ y = 4

v) Substituting the value of y from equation iv) in equation ii) we get

    x = 4 + 5 = 9

vi) The answers in numerical order are 4, 9.

Answer:

C. The given value is a statistic statistic for the year year because the data collected represent a sample sample.

Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.

Step-by-step explanation:

The sample mean obtained was :

[tex] \bar X =\frac{\sum_{i=1}^n X_i}{n}= 144.3[/tex]

A. The given value is a parameter parameter for the year year because the data collected represent a population population.

False. The data colected represent a sample of the population of interest, so for this case is not a parameter because we don't have the information about all the population of interest.

B. The given value is a parameter parameter for the year year because the data collected represent a sample sample.

False. First the sample average is not a parameter, and second the population mean is not equal to the sample mean most of the times.

C. The given value is a statistic statistic for the year year because the data collected represent a sample sample.

Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.

D. The given value is a statistic statistic for the year year because the data collected represent a population.

False. If is an statistic can't represent the population, since the parameter represent the population not the statistic.

In this exercise we have to use the knowledge of statistics to be able to identify the correct statement, so I can say that it is:

The letter  C

So knowing the statistics topics we can recognize the true alternative:

A. False. The information in visible form colected show a sample of the inhabitants of a place of interest, so for this case exist not a limit cause we forbiddance bear the facts about all the inhabitants of a place of interest.

B. False. First the sample average exist not a limit, and second the inhabitants of a place mean happen inadequate the average value most of the opportunity.

C. Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.

D. False. If exist an detail of action can't represent the inhabitants of a place, because the limit represent the inhabitants of a place not the detail of action.

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The phytoplankton population will be double the foraminifera population at the end of the first day. It'll take approximately 6.44 days for the phytoplankton population to be 1000 times the foraminifera population.

To solve this problem, we'll need to figure out the exponential growth rate for each organism. As per the question, phytoplankton doubles its population twice a day and the foraminifera doubles every five days.

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Final answer:

To find when the phytoplankton population is double that of the foraminifera, we solve the equation 2^(t/5) = 2^(2t-1), yielding approximately 1.67 days. To find when the phytoplankton population is 1000 times the foraminifera population, we solve 1000 × 2^(t/5) = 2^(2t), resulting in approximately 5.95 days.

Explanation:

To solve this problem, we use the formula for exponential growth: N(t) = N_0 × 2^(t/T), where N(t) is the population at time t, N_0 is the initial population, and T is the doubling time. For phytoplankton with a doubling time of 0.5 days, we have N_p(t) = N_0 × 2^(2t), because they double twice a day. For foraminifera, which double every 5 days, we have N_f(t) = N_0 × 2^(t/5).

Part A

To find when the phytoplankton population is double the foraminifera population, we set 2N_f(t) = N_p(t) and solve for t. This gives us 2 × N_0 × 2^(t/5) = N_0 × 2^(2t). Canceling N_0 and dividing by 2, we get 2^(t/5) = 2^(2t-1), thus t/5 = 2t-1. Solving for t gives us t = 5/3 days, or approximately 1.67 days.

Part B

To determine when the phytoplankton population is 1000 times the foraminifera population, we set 1000N_f(t) = N_p(t). Solving for t in 1000 × N_0 × 2^(t/5) = N_0 × 2^(2t) and simplifying, we find that t = 5 × log2(1000)/3, which is about 5.95 days.

Answer: she needs to beat 8.8 ft /sec which is 0.001667miles/sec and after 15mins,she ran 0.00161miles/sec.

Step-by-step explanation:

1ft = 0.0001893939 miles

8.8ft= 0.001667

That means she needs to beat 0.001667 miles/sec time.

In 15mins, her average was 5.8miles/hr.

That means for 15mins,she ran 0.00161/sec.

Answer:

It will take turtle [tex]2\frac{2}{5} \ hour[/tex] to reach the pond.

Step-by-step explanation:

Given:

A turtle can walk 1/12 of a kilometer in an hour.

The turtle is 1/5 of a kilometer away from a pond.

Now, to find the time it will take the turtle to reach the pond.

Speed of turtle  =  [tex]\frac{1}{12}\ kilometer\ per\ hour.[/tex]

Distance of turtle from the pond =  [tex]\frac{1}{5} \ kilometer.[/tex]

Now, to get the time it will take turtle to reach the pond we put formula:

[tex]Time=\frac{Distance}{speed}[/tex]

[tex]Time=\frac{\frac{1}{5}}{\frac{1}{12}}[/tex]

[tex]Time=\frac{1}{5} \times \frac{12}{1}[/tex]

[tex]Time=\frac{12}{5}[/tex]

[tex]Time=2\frac{2}{5}\ hour.[/tex]

Therefore, it will take turtle [tex]2\frac{2}{5} \ hour[/tex] to reach the pond.

Answer:

2 2/5

Step-by-step explanation:

Answer:

Convenience  Sampling

Step-by-step explanation:

The given situation indicates the non-probability sampling because the sampling units are not selected at random and every unit in population has unequal chance of being selected. Convenience sampling is a type of non-probability sampling in which the sampling unit close to interviewer are selected. In the situation statistics student interviews the individual that resides in his building, so it is a convenience sampling.

Final answer:

The statistics student used convenience sampling, a non-probability method, by interviewing individuals in his apartment building to determine cell phone ownership. This method is subject to sampling bias and does not provide generalizable results.

Explanation:

The type of sampling used in the scenario where a statistics student interviews everyone in his apartment building to determine who owns a cell phone is called convenience sampling. This non-probability sampling method involves choosing participants because they are convenient to the researcher, not because they are randomly selected or necessarily representative of the larger population. Therefore, while it is easy and cost-effective, the results of convenience sampling cannot be reliably generalized to the wider population due to potential sampling bias.

Question is Incomplete; Complete question is given below;

Paul delivers newspapers. He charges $2.25 per week for daily plus Sunday delivery, and $1.00 per week for Sunday delivery only.

Which expression below shoes how much Paul would collect in a week if he had 40 clients receiving daily plus Sunday delivery, and 25 clients receiving Sunday delivery only?

1. 40($2.25)+25($1.00)

2. 40($1.00)+25($2.25)

3. 40($1.25)+25($2.25)

4. 65($2.25)

5. Not enough information is given.

Answer:

1. 40($2.25)+25($1.00)

Step-by-step explanation:

Given:

Delivery charges per week = $2.25

Delivery charges on Sunday = $1.00

Number of clients receiving daily = 40

Number of clients receiving only on Sundays =25

We need to find the expression which shows total amount Paul would collect in a week.

Solution:

Now we can say that;

total amount Paul would collect in a week would be equal to sum of Number of clients receiving daily multiplied by Delivery charges per week and Number of clients receiving only on Sundays multiplied by Delivery charges on Sunday.

framing in equation form we get;

total amount Paul would collect in a week = [tex]40(2.25)+25(1.00)[/tex]

Hence The expression which shows total amount Paul would collect in a week is [tex]40(2.25)+25(1.00)[/tex].

Answer:

True.

Step-by-step explanation:

The artists is using simple math. When cutting squares from the corners he uses the same measure for each side of the figuer (because is a square) and the remaining sides thatare folded havethe same measures as the squares.

Cutting each side with the correct percent of the total surface in order to go from 20 in to 15 in.

Answer:

50?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:he invested $12000 in bonds and $8000 in stocks.

Step-by-step explanation:

Let x represent the amount that was invested in the bond that made 4% profit.

Let y represent the amount that was invested in the stock that made 8% profit.

Francis invested $20,000. Some was invested in bonds that made a 4% profit, and the rest was put into stocks that made an 8% profit. This means that

x + y = 20000

Profit made from the amount invested in the bond is

4/100 × x = 0.04x

Profit made from the amount invested in stock is

8/100 × y = 0.08y

if his total profit on both types of investments was $1,120, it means that

0.04x + 0.08y = 1120 - - - - - - - - - - 1

Substituting x = 20000 - y, it becomes

0.04(20000 - y) + 0.08y = 1120

800 - 0.04y + 0.08y = 1120

- 0.04y + 0.08y = 1120 - 800

0.04y = 320

y = 320/0.04 = 8000

x = 20000 - y = 20000 - 8000

x = $12000

Francis invested $12,000 in bonds.

Let's denote the amount invested in bonds as B and the amount invested in stocks as S.

We can set up a system of equations based on the given conditions:

1. B + S = 20,000  (Equation 1) - Total investment amount

2. 0.04B + 0.08S = 1,120  (Equation 2) - Total profit

We can solve this system of equations to find the amount invested in bonds B.

From Equation 1, we can express S in terms of B:

S = 20,000 - B

Now, substitute this expression for S into Equation 2:

0.04B + 0.08(20,000 - B) = 1,120

Let's solve for B:

0.04B + 1,600 - 0.08B = 1,120

-0.04B = 1,120 - 1,600

-0.04B = -480

Now, divide both sides by -0.04:

[tex]\[B = \frac{-480}{-0.04} \][/tex]

B = 12,000

So, Francis invested $12,000 in bonds.

Final answer:

The important properties of circles from the given options are the radius and the center. Midpoint and origin are not inherent properties of all circles. Properties such as radial and centripetal nature, and the uniqueness of the circle's foci at the center, are paramount.

Explanation:

The important properties of circles that apply from the options given are:

Radius: The distance from the center of the circle to any point on the circumference.

Center: The point that is equidistant from all points on the circumference of the circle.

While midpoint and origin can be related to circles, they are not properties intrinsic to all circles. The origin is more generally associated with a coordinate system, whereas the midpoint refers to the middle point of a segment and does not describe the circle itself unless referring to the midpoint of a diameter, which would be the circle's center.

Furthermore, properties of circles such as being boundary-curves and equidistant-curves are vital. The radial nature of the radius and the centripetal force that acts towards the center of a circular path are central to understanding movement along the circle. Importantly, the foci of a circle, unlike an ellipse, are located at the same point as the center.

For this case we have the following equation:

[tex]T = 2 \pi * r * h + 2 \pi * r ^ 2[/tex]

We must solve the equation for the variable "h":

We subtract [tex]2 \pi * r ^ 2[/tex] from both sides of the equation:

[tex]T-2 \pi * r ^ 2 = 2 \pi * r * h[/tex]

We divide by [tex]2 \pi * r[/tex] on both sides of the equation:

[tex]\frac {T-2 \pi * r ^ 2} {2 \pi * r} = h\\h = \frac {T} {2 \pi * r} - \frac {2 \pi * r ^ 2} {2 \pi * r}\\h = \frac {T} {2 \pi * r} -r[/tex]

Answer:

[tex]h = \frac {T} {2 \pi * r} -r[/tex]

Answer:

Experimental group

Step-by-step explanation:

In a  psychology experiment, the test gathering (or trial condition) alludes to the gathering of members who are presented to the free factor. These members get or are presented to the treatment variable.  

The free factor is changed in the exploratory gathering.

For example : A human test gathering could get another prescription, an alternate type of advising, or some nutrient enhancements

Answer:

Number of Small Cones Sold=22

Number of Large Cones Sold=34

Step-by-step explanation:

Suppose,

Number of Small Cones Sold: s

Number of Large Cones Sold: l

For the condition that, larges cones sold were 12 more than small ones, equation would be

[tex]s-l=12....................................... (i)[/tex]

and for the total revenue condition of $163

[tex]2*s+3.5*l=163.........................(ii)[/tex]

By solving equation (i) and (ii) simultaneously, we get

s=22

and

l=34

Hence, small cones sold would be 22 and large cones sold would be 34.

Answer:

B) False                  

Step-by-step explanation:

We are given the following in the question:

The first term in an arithmetic sequence is 1.

[tex]a_1 = a =1[/tex]

The second term in an arithmetic sequence is 2.

[tex]a_2 = 2[/tex]

Difference between each pair of consecutive terms in the sequence

[tex]=a_2-a_1\\= 2 - 1\\= 1[/tex]

Statement:

The difference between each pair of consecutive terms in the sequence is [tex]1\frac{2}{5}[/tex]

Thus, the given statement is false since the  difference between each pair of consecutive terms in the sequence is equal to difference between first an second term of arithmetic sequence which is 1 not [tex]1\frac{2}{5}[/tex]

Answer:

Explanation:

The information given can be summarized as:

Interpetration of the terms in the model A = -2.3t - 7

The equation A = -2.3t - 7 is a linear function, which consists of two terms:

Thus, altitude at which Mr. Mole's burrow lie is the initial value given by the function, this is the altitude at t = 0, or the vertical intercept of the line; which, as just said is - 7. The negative sign tells that the value is below the ground (ground level is 0 meters). Then, Mr. Mole's burrow lie 7 meters below the ground.

Mr. Mole's burrow lies 7 meters below the ground which is represented by the equation  A = -2.3t - 7.

Given that:

The altitude of Mr. Mole's burrow can be calculated by determining the equation A = -2.3t - 7, where A represents the altitude in meters and t represents time in minutes.

The coefficient of t is -2.3, which shows that the altitude is decreased by 2.3 meters for every minute that passes.  At t = 0, the constant term is -7, which represents an initial altitude of -7 meters.

Since Mr. Mole is digging downward and wants to find how far below the ground his burrow lies, we will consider the absolute value of the altitude.

The absolute value of the altitude, which is the distance below the ground, is: |A| = 2.3t + 7

The distance below the ground increases by 2.3 meters for every minute that passes and there's an initial distance of 7 meters below the ground.

Therefore, Mr. Mole's burrow lies 7 meters below the ground.

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2.16x+4.40(16-x) = 2.44(16)

2.16x+70.40-4.40x = 39.04

-2.24x = -31.36

x= 14

So, there are 14 packets of the sweet pepper seeds at 2.16 and 16-14 = 4 packets of the hot pepper seeds at 4.40

Answer:

Hence the answer is option c ; poverty and neighborhood conditions

Step-by-step explanation:

From the research, it is well known that both the dependent variable and independent variable will be taken into consideration before arriving at a conclusion.

A dependent variable is the variable that is been studied or measured i.e the results of a scientific research.

An independent variable is a variable that is been altered or controlled for and whose effects are compared to the results of the dependent variable, as such the results of  a dependent variable is dependent on the alteration of the parameters of an independent variable.

From the question ; the dependent variable is sample of 707 individuals from a single community while the independent variable ; the number of hours each individual spent watching television during adolescence and early adulthood.

The word confound in statistics implies a variable which has a greater effects on both the dependent and the independent variable.

Hence the answer is option c ; poverty and neighborhood conditions

Final answer:

Raymond will earn a total of $2.00 in interest over 2 years on his $10.00 savings account with a non-compounding 10% annual interest rate, as he receives the same amount of interest each year.

Explanation:

To calculate the interest Raymond earns in 2 years on his $10.00 savings at a 10% annual interest rate, where the interest is not compounded, we can follow these steps:

In 2 years, he will earn $1.00 (year 1) + $1.00 (year 2), which equals $2.00 in interest.

In conclusion, Raymond will earn $2.00 in interest over 2 years on his $10.00 savings account with a 10% annual interest rate.